Trig Interactive Notebook Pages For Unit Of Measurement 1: Algebra As Well As Geometry Review
Tuesday, October 1, 2019
algebra,
Algebra 2,
Algebra1,
Distance Formula,
foldable,
Geometry,
interactive notebook,
printable,
Pythagorean Theorem,
Radicals,
Solving Equations,
Special Right Triangles,
Transversal,
Trig
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This year, I'm teaching Algebra 1 as well as Algebra 2 for the 3rd fourth dimension as well as Trigonometry for the start time. Every year, my schoolhouse offers a unlike advanced math elective to a higher identify Algebra 2. We've cycled through college algebra as well as statistics. They were both but okay. But, this year, I am LOVING trig.
I think in that place are several reasons for this. First, it's my start twelvemonth to do interactive notebooks amongst my advanced math class. I approximate for my start 2 years of teaching, I didn't think my advanced students genuinely needed notebooks. I was wrong. They demand notebooks. And, possibly fifty-fifty to a greater extent than than that, I demand notebooks. As Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier here as well as Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier here.)
I nonetheless dear the birthday cake method for finding prime number factorization. Since I had almost all of my trig students inwards Algebra 2, I neglected to bring upwardly to the shape that the 1 on top of the birthday cake was the candle. One educatee who wasn't inwards my Algebra 2 shape was SUPER confused yesteryear what this novel math symbol was on top. Oops. (You tin read to a greater extent than well-nigh the birthday cake method for prime number factorization Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier here.)
Also, my trig students thought that our review of simplifying radicals as well as performing operations on radicals was the easiest matter inwards the world. These are the same kids who HATED radicals lastly twelvemonth inwards Algebra 2. For days, all I heard was, "Why is this thus slow this year? I did non acquire radicals lastly year. But, at nowadays I'm similar "How could individual non sympathise this?"" They finally decided that their brains matured over the summertime or something similar that. All I know is that seeing them move amongst radicals thus confidently made me a really proud.
Here's our simplifying radicals notes together.
Next up: Rationalizing the Denominator
Again, they were shocked that rationalizing the denominator was non every bit complicated every bit they had made it inwards Algebra 2. Adding as well as subtracting radicals also went really smoothly.
The ane job amongst my unit of measurement on radicals is that if somebody entered my classroom as well as listened inwards on our conversation, they would in all likelihood think nosotros were crazy. My kids don't beak well-nigh "simplifying radicals." They say, "Oh, I demand to birthday cake it." By birthday cake, they hateful detect the prime number factorization as well as job that to simplify the radical. I know just what they mean, but I should in all likelihood move on fixing this vocab number inwards the future.
Multiplying as well as dividing radicals did non give-up the ghost nearly every bit good every bit adding as well as subtracting. I nonetheless demand to move on this.
The distributing problems proved peculiarly hard for them.
And, I demand to come upwardly up amongst a way to brand dividing radicals seem less scary. After nosotros wrote out the 6 steps, they were inwards panic mode. The actual procedure wasn't that bad, but I made it audio terrifying.
At this point, my kids were begging, "Can nosotros but do radicals for the residuum of the year?" Ha ha. No.
Now it was fourth dimension to get down a piddling geometry review. I've never taught geometry before, thus this was a fun sense for me!
We started off yesteryear taking some notes well-nigh useful angle facts.
I borrowed the amazing Kathryn's Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier Angles Formed yesteryear Parallel Lines Cut yesteryear a Transversal Foldable.
Here's the inside:
Kathryn took many to a greater extent than detailed pictures of the within flaps as well as posted them on her blog. You should definitely banking concern check it out!
Fair warning. My kids hated the adjacent notebook page. You may think loathe is a rigid word. But, I'm serious. You see, I thought I would live creative. And, I approximate I didn't think my inventiveness all of the way through.
Class, job a marker, highlighter, or colored pencil to depict a giant C on your notebook page.
Inside the C, nosotros were going to accept notes on the pregnant of "complementary angles."
Then, nosotros were going to plough the C into an southward as well as add together notes well-nigh supplementary angles.
If they could hollo back that complementary meant ninety degrees, the southward was made upwardly of 2 Cs, thus that would hateful ninety degrees times 2 or 180 degrees.
Great idea, right?
Well, I didn't tell my kids what the halt production was going to be. So, they drew some Cs that could non live made into attractive Ss. Oops. Their notebook pages were non pretty as well as perfect now, as well as it was all my fault. One of the students inwards shape decided that I had earned myself a "NOT YET" for the day. Remember my grading scale? Now, my students are using it to acquire dorsum at me... On a side note, they also decided to give the pencil sharpener a NOT YET ane hateful solar daytime because it made their pencil indicate also sharp...
Ironically, when I went to seat the C/S drawing inwards my notebook, mine turned out looking non that groovy either. I approximate that was payback. I sketched it out several times on combat paper, but putting mark to notebook newspaper proved to conduct maintain less than stellar results.
Here's some of my students' pages.
Our adjacent geometry topic to review every bit the pythagorean theorem.
The Pythagorean Theorem booklet was stole from the blog of Jessie Hester. She has a ton of resources for teaching the Pythagorean Theorem! If I was teaching geometry, I would conduct maintain gone way to a greater extent than inwards depth as well as used a lot to a greater extent than of her amazing activities!
As shortly every bit I passed out the booklets, my trig students wanted to know if I would give them fourth dimension to color the covers. Yes, nosotros did accept some fourth dimension to but sit down as well as color. It's fun to lookout adult man my trig students acquire thus invested inwards creating their notebooks! I'm genuinely kinda glad that my schoolhouse does non ain whatever trig or pre-calculus books because I in all likelihood wouldn't live doing notebooks amongst this specific shape if they did.
Inside the Pythagorean Theorem Booklet:
I liked the tabular array set-up for these pythagorean theorem problems a lot! I would conduct maintain never thought of setting them upwardly this way.
This adjacent page was also stolen from Jessie Hester.
This was a novel foldable type for me. I dear trying out novel foldable designs! The flap folds downwardly to break 2 to a greater extent than flaps underneath. :)
I'm going to live honest. I'm a math teacher, as well as I conduct maintain to really, really, genuinely think well-nigh the distance formula. It's but non something I conduct maintain memorized off the top of my head. I know how to derive it, as well as I tin come upwardly up amongst it if yous give me a minute. But, it's non my weapon of alternative for calculating the distance betwixt 2 points. I prefer to job the Pythagorean Theorem for finding the distance betwixt 2 points, but I wanted to exhibit my students both options as well as permit them select for themselves.
They agreed amongst me that the pythagorean theorem made the move of the job seem a lot to a greater extent than efficient. And, since I conduct maintain students who genuinely grapple amongst integers, they liked the fact that in that place were a lot less positives as well as negatives to lookout adult man out for.
I printed off this practise canvass from Jessie's spider web log for students to gum inwards their notebooks.
Here's our notes for finding distance betwixt 2 points together.
Our lastly geometry topic to review earlier delving into actual trigonometry was special correct triangles. I don't know just what it is well-nigh special correct triangles, but I LOVE them. Okay. I approximate I say that well-nigh a whole lot of math topics. I approximate this way I'm inwards the correct profession. :)
Me: Class, today nosotros are going to live learning well-nigh 2 special types of correct triangles. These 2 triangles are going to acquire your BFFs.
Student: You said in that place are 2 of these triangles?
Me: Yes.
Student: Oh goody. That way I volition conduct maintain at to the lowest degree 2 friends now.
My students brand me express joy thus much. They are the best.
My entire goal for interactive notebooks is to create a resources for my students that they genuinely use. I decided that nosotros would seat each of the special correct triangles on an index card. Then, nosotros made a cute piddling bag to handle the cards inwards our notebooks. The kids got SO excited over these piddling pockets.
Here's what nosotros wrote on our reference cards:
The thought behind these cards is that students could give-up the ghost along them out land working on their assignments. When I instruct trig again, I volition tweak these cards a bit. I would conduct maintain students label the 45-45-90 carte every bit a; a; a radical 2 correct underneath the 45-45-90 heading. And, I'd do the same for the 30-60-90 card. I do similar that students had to banking concern check which side length was contrary the angle they were interested in. This genuinely made them halt as well as think well-nigh what contrary way on a triangle.
One of my students thought that making the cards was a featherbrained piddling exercise. But, a hateful solar daytime or 2 later, she told the shape that these were the most helpful things inwards the world. It was awesome to lookout adult man my students job these cards as well as encourage their classmates to job them every bit well. Hearing them tell somebody to move out their cards as well as job them = PRICELESS!
I would dear to detect a way to include to a greater extent than index cards inwards my notebooks inwards the future. Hmmm....
Influenza A virus subtype H5N1 go-to foldable for me to brand is a poof booklet. I conduct maintain a file on my figurer where I tin rapidly modify out the practise problems, as well as I at nowadays conduct maintain a novel foldable to use. My students never cease to live amazed yesteryear these poof booklets!
I think the grin correct triangle adds the perfect finishing deport on to the page! :)
Inside the booklet:
I made students circle whether the triangle represented a 30-60-90 correct triangle or a 45-45-90 correct triangle. In the future, I would in all likelihood conduct maintain students fill upwardly inwards the blanks for both the angles as well as the side length ratios thus they sat just on top of each other. Hindsight is 20/20.
Because I LOVE my students, I also included 2 discussion problems.
For to a greater extent than information on how to get together a poof booklet, banking concern check out this Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier tutorial I wrote for a poof booklet for some other topic.
And, that was the halt of Unit 1. Unit 2 is all well-nigh trig ratios as well as trig basics. I'll live posting those pages every bit shortly every bit the unit of measurement is finished.
Want to download these pages to job inwards your ain classroom? Click hither to detect all of my Unit 1 materials.
I think in that place are several reasons for this. First, it's my start twelvemonth to do interactive notebooks amongst my advanced math class. I approximate for my start 2 years of teaching, I didn't think my advanced students genuinely needed notebooks. I was wrong. They demand notebooks. And, possibly fifty-fifty to a greater extent than than that, I demand notebooks. As Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier here as well as Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier here.)
I nonetheless dear the birthday cake method for finding prime number factorization. Since I had almost all of my trig students inwards Algebra 2, I neglected to bring upwardly to the shape that the 1 on top of the birthday cake was the candle. One educatee who wasn't inwards my Algebra 2 shape was SUPER confused yesteryear what this novel math symbol was on top. Oops. (You tin read to a greater extent than well-nigh the birthday cake method for prime number factorization Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier here.)
Also, my trig students thought that our review of simplifying radicals as well as performing operations on radicals was the easiest matter inwards the world. These are the same kids who HATED radicals lastly twelvemonth inwards Algebra 2. For days, all I heard was, "Why is this thus slow this year? I did non acquire radicals lastly year. But, at nowadays I'm similar "How could individual non sympathise this?"" They finally decided that their brains matured over the summertime or something similar that. All I know is that seeing them move amongst radicals thus confidently made me a really proud.
Here's our simplifying radicals notes together.
Next up: Rationalizing the Denominator
The ane job amongst my unit of measurement on radicals is that if somebody entered my classroom as well as listened inwards on our conversation, they would in all likelihood think nosotros were crazy. My kids don't beak well-nigh "simplifying radicals." They say, "Oh, I demand to birthday cake it." By birthday cake, they hateful detect the prime number factorization as well as job that to simplify the radical. I know just what they mean, but I should in all likelihood move on fixing this vocab number inwards the future.
Multiplying as well as dividing radicals did non give-up the ghost nearly every bit good every bit adding as well as subtracting. I nonetheless demand to move on this.
The distributing problems proved peculiarly hard for them.
And, I demand to come upwardly up amongst a way to brand dividing radicals seem less scary. After nosotros wrote out the 6 steps, they were inwards panic mode. The actual procedure wasn't that bad, but I made it audio terrifying.
At this point, my kids were begging, "Can nosotros but do radicals for the residuum of the year?" Ha ha. No.
Now it was fourth dimension to get down a piddling geometry review. I've never taught geometry before, thus this was a fun sense for me!
We started off yesteryear taking some notes well-nigh useful angle facts.
I borrowed the amazing Kathryn's Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier Angles Formed yesteryear Parallel Lines Cut yesteryear a Transversal Foldable.
Here's the inside:
Kathryn took many to a greater extent than detailed pictures of the within flaps as well as posted them on her blog. You should definitely banking concern check it out!
Fair warning. My kids hated the adjacent notebook page. You may think loathe is a rigid word. But, I'm serious. You see, I thought I would live creative. And, I approximate I didn't think my inventiveness all of the way through.
Class, job a marker, highlighter, or colored pencil to depict a giant C on your notebook page.
Inside the C, nosotros were going to accept notes on the pregnant of "complementary angles."
Then, nosotros were going to plough the C into an southward as well as add together notes well-nigh supplementary angles.
If they could hollo back that complementary meant ninety degrees, the southward was made upwardly of 2 Cs, thus that would hateful ninety degrees times 2 or 180 degrees.
Great idea, right?
Well, I didn't tell my kids what the halt production was going to be. So, they drew some Cs that could non live made into attractive Ss. Oops. Their notebook pages were non pretty as well as perfect now, as well as it was all my fault. One of the students inwards shape decided that I had earned myself a "NOT YET" for the day. Remember my grading scale? Now, my students are using it to acquire dorsum at me... On a side note, they also decided to give the pencil sharpener a NOT YET ane hateful solar daytime because it made their pencil indicate also sharp...
Ironically, when I went to seat the C/S drawing inwards my notebook, mine turned out looking non that groovy either. I approximate that was payback. I sketched it out several times on combat paper, but putting mark to notebook newspaper proved to conduct maintain less than stellar results.
Here's some of my students' pages.
This educatee insisted on gluing colored newspaper over his botched elbow grease as well as crafting a perfect C/S combination.
Inside the Pythagorean Theorem Booklet:
This adjacent page was also stolen from Jessie Hester.
I printed off this practise canvass from Jessie's spider web log for students to gum inwards their notebooks.
Our lastly geometry topic to review earlier delving into actual trigonometry was special correct triangles. I don't know just what it is well-nigh special correct triangles, but I LOVE them. Okay. I approximate I say that well-nigh a whole lot of math topics. I approximate this way I'm inwards the correct profession. :)
Me: Class, today nosotros are going to live learning well-nigh 2 special types of correct triangles. These 2 triangles are going to acquire your BFFs.
Student: You said in that place are 2 of these triangles?
Me: Yes.
Student: Oh goody. That way I volition conduct maintain at to the lowest degree 2 friends now.
My students brand me express joy thus much. They are the best.
My entire goal for interactive notebooks is to create a resources for my students that they genuinely use. I decided that nosotros would seat each of the special correct triangles on an index card. Then, nosotros made a cute piddling bag to handle the cards inwards our notebooks. The kids got SO excited over these piddling pockets.
Here's what nosotros wrote on our reference cards:
The thought behind these cards is that students could give-up the ghost along them out land working on their assignments. When I instruct trig again, I volition tweak these cards a bit. I would conduct maintain students label the 45-45-90 carte every bit a; a; a radical 2 correct underneath the 45-45-90 heading. And, I'd do the same for the 30-60-90 card. I do similar that students had to banking concern check which side length was contrary the angle they were interested in. This genuinely made them halt as well as think well-nigh what contrary way on a triangle.
One of my students thought that making the cards was a featherbrained piddling exercise. But, a hateful solar daytime or 2 later, she told the shape that these were the most helpful things inwards the world. It was awesome to lookout adult man my students job these cards as well as encourage their classmates to job them every bit well. Hearing them tell somebody to move out their cards as well as job them = PRICELESS!
I would dear to detect a way to include to a greater extent than index cards inwards my notebooks inwards the future. Hmmm....
Influenza A virus subtype H5N1 go-to foldable for me to brand is a poof booklet. I conduct maintain a file on my figurer where I tin rapidly modify out the practise problems, as well as I at nowadays conduct maintain a novel foldable to use. My students never cease to live amazed yesteryear these poof booklets!
I think the grin correct triangle adds the perfect finishing deport on to the page! :)
Inside the booklet:
I made students circle whether the triangle represented a 30-60-90 correct triangle or a 45-45-90 correct triangle. In the future, I would in all likelihood conduct maintain students fill upwardly inwards the blanks for both the angles as well as the side length ratios thus they sat just on top of each other. Hindsight is 20/20.
Because I LOVE my students, I also included 2 discussion problems.
For to a greater extent than information on how to get together a poof booklet, banking concern check out this Megan tin attest, I kinda similar interactive notebooks. :) Then, there's also the fact that I conduct maintain xv kids inwards my trig shape to acquire excited about! In the past, we've alone had 5-7 kids enrolled inwards advanced math. (Have yous always tried to collect information to analyze inwards a shape of v kids? So many of the ideas I wanted to essay needed to a greater extent than kids to brand them work.) I've taught all but 3 of these kids before, thus they already acquire me as well as my teaching style. They are working super hard for me, as well as the notebooks conduct maintain been a big hit!
Our start unit of measurement for trig was a review of algebra as well as geometry. This is peculiarly of import for this grouping of kids because some of them conduct maintain taken a twelvemonth long interruption betwixt math classes. You tin forget a lot of math during a twelvemonth of no math. These students were inwards my Algebra 2 shape my start twelvemonth at Drumright. And, yous tin forget a lot of geometry concepts during a twelvemonth of Algebra 2! It's refreshing to instruct a shape that does non require a state-mandated end-of-instruction exam. We conduct maintain no curriculum that nosotros *have* to cover. We're moving at our ain pace, as well as I conduct maintain no clue how far nosotros are going to halt upwardly getting. I'm hoping to roll upwardly our written report of trig yesteryear January/February thus nosotros tin gibe inwards a few months of other pre-calculus topics this year.
Though, I'm non certain if that volition happen. Many of my students conduct maintain expressed an involvement inwards our schoolhouse offering an ACT prep class. Last year, I stayed after schoolhouse ane hateful solar daytime a calendar week for a calendar month or 2 to aid a grouping of students railroad train for the ACT. I would dear to instruct an ACT prep class, but our schoolhouse is also little to offering electives beyond agriculture, FACS, Spanish, FACS, or computers. And, this is the start fourth dimension we're offering Castilian inwards the 3 years I've been here. I've decided to dedicate Fridays every bit ACT prep days. We're working through practise math problems nether the testing status of ane infinitesimal per question. I'm hoping it proves to live useful to my students inwards raising their ACT scores!
Oh, as well as some other matter that makes this advanced math shape unlike than previous years is that I'm using standards based grading. I've played amongst SBG a piddling inwards my Algebra 2 shape before, but this twelvemonth I decided to give-up the ghost all out. I do non regret this decision!
For my learning goals, I slightly tweaked Elissa's Unit 1 Learning Goals for her trig class.
Here's my modified version:
Each educatee was given this score tracking canvass to give-up the ghost along at the front end of their Unit 1 notebook section. Each unit of measurement inwards our notebook begins amongst a score tracking sheet, a tabular array of contents, as well as a tab.
My SBG grading scale has 3 levels.
Influenza A virus subtype H5N1 = Perfect Work (100% inwards Grade Book)
B = Demonstrates agreement but move may conduct maintain a few pocket-size errors (85% inwards Grade Book)
NOT YET = Student has non demonstrated mastery. (0.5% inwards Grade Book)
Students are required to reassess all on NOT YET quizzes until they earn an Influenza A virus subtype H5N1 or a B. Once students conduct maintain earned an Influenza A virus subtype H5N1 or a B, they tin identify a sticker inwards the mastery box on their score tracking sheet. I conduct maintain a tub of stickers that students tin pick from. I approximate yous could telephone phone it a self-service sticker station. :)
The consequences of this novel grading procedure conduct maintain been...interesting. Some students dear it. Others loathe it as well as conduct maintain left my room inwards tears. The negative feedback has been greater than I anticipated, but I'm sticking amongst it. I conduct maintain the back upwardly of my administration, as well as I believe I'm acting inwards the best involvement of my students. This should in all likelihood live an entire spider web log shipping service inwards itself.
Ready to run across inwards side my trig notebook? I'm thus excited to part it amongst you!
Title Page:
Unit 1 Table of Contents
Here's the score tracking canvass adjacent to the TOC.
Influenza A virus subtype H5N1 student's re-create amongst some mastery stickers.
At Twitter Math Camp, I had a terrible fourth dimension figuring out which morn session I wanted to attend. You see, I instruct Algebra 1, Algebra 2, as well as Trig/Pre-Calculus. So, I could conduct maintain easily gone to whatever of those iii sessions. I ended upwardly beingness a purpose of Elizabeth's Group Work Working Group, as well as I don't regret it at all. But, I nonetheless wishing I could conduct maintain gone to all of them!
In ane session I attended, nosotros were given the undertaking of creating a lesson or undertaking inwards a little group. One of the people inwards my grouping had been a purpose of the Algebra 2 morn session. And, she mentioned Glenn's 3 Essential Rules of Math. We were at nowadays intrigued as well as made her tell us more. We never genuinely ended upwardly designing our task, but nosotros did all walk away amongst some exciting ideas to job inwards our classrooms, as well as I think that's what TMC was all well-nigh anyway.
Here's a link to where Glenn discusses the 3 rules. He does a way ameliorate undertaking of explaining it than I always could. I tin brand a pretty notebook page well-nigh it though. :)
By the fourth dimension students acquire to trig, they should live able to solve equations. But, I wanted to start the twelvemonth off amongst a quick refresher. I included the properties to hollo back box at the bottom for students to tape diverse properties inwards every bit nosotros come upwardly across them inwards problems.
I planned 3 event problems to move out inwards our notebooks.
My kids hated having to write out the justification for doing each step.
But, that's nil compared to the riot that almost broken out after trying to solve a job that involved factoring a trinomial. It was totally my fault. You see, I conduct maintain this job amongst teaching factoring. In my start 2 years of teaching, I taught factoring iv unlike ways. My Algebra 1 instructor taught us to approximate as well as banking concern check inwards the eighth grade. I never knew in that place was some other way. After realizing how ho-hum that method was in ane trial I began teaching, I went looking for a ameliorate way. That same year, I tried the aeroplane method of factoring. It went ameliorate than approximate as well as check, but kids could never hollo back the steps. Year 2 comes along. I learned the Slide, Divide, Bottoms Up Method at a workshop. I create upwardly one's heed to essay it. Again, it works, but the kids can't memorize the steps. And, why should they? The steps brand ZERO sense whatsoever. They work, but they're a trick. And, we're supposed to live nixing the tricks.
Finally, Shelli showed me how to split upwardly the middle term of the trinomial inwards 2 as well as portion yesteryear grouping. I LOVE this method. But, my kids who had already seen ane of the fox methods saw it every bit a lot of move as well as thinking. So, they were non excited to job it. Okay. Back to the almost-riot. I start working through an event that involves factoring. As shortly every bit I start splitting the middle term, a educatee raises their mitt as well as asks why nosotros can't do the method from lastly year. They don't hollo back what it was, but they know it wasn't this. Another educatee who I had inwards Algebra 2 2 years agone wants to job the aeroplane method. Then, I conduct maintain students inwards my classroom who took Algebra 2 at some other schoolhouse or our local technology scientific discipline center. They learned yet some other way to factor. OH MY GOODNESS. It was terrible. More similar on the verge of tears terrible. Honestly, I finished the problem, handed out the homework assignment as well as asked them to cross out all of the problems involving factoring. I needed to brand upwardly my heed well-nigh how to approach factoring from hither on out.
Here nosotros are, over a calendar month into the schoolhouse year, as well as I'm nonetheless avoiding factoring amongst my trig students. Eventually, nosotros volition conduct maintain to overcome this hurdle. Until then, I'm nonetheless working on my game plan. Note to self: detect ane way to instruct factoring as well as instruct it that same exact way for the adjacent 30 years of your career.
Next topic to review: Radicals
If these notes expect familiar, it's because they are. I took my unit of measurement on radicals from Algebra 2 lastly twelvemonth as well as condensed it into a quick review. After all, there's no sense inwards reinventing the wheel. (I've posted extensively on how I taught radicals earlier tutorial I wrote for a poof booklet for some other topic.
And, that was the halt of Unit 1. Unit 2 is all well-nigh trig ratios as well as trig basics. I'll live posting those pages every bit shortly every bit the unit of measurement is finished.
Want to download these pages to job inwards your ain classroom? Click hither to detect all of my Unit 1 materials.
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