Algebra Ii Science 1: Classifying Existent Numbers
Thursday, September 26, 2019
Activities,
algebra,
Algebra 2,
Card Sort,
graphic organizer,
interactive notebook,
lessons,
printable,
Real Number System
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For my kickoff twelvemonth of teaching, I made this nifty ready of nesting boxes to illustrate the existent publish system.
First-year instructor me was likewise terrified to write on them alongside a Sharpie for fright of messing them up. So, I held them upwards to illustrate, but they didn't genuinely destination upwards getting much use.
Second together with 3rd twelvemonth instructor me decided that the existent publish subsets weren't genuinely on the end-of-instruction assay then she didn't learn them.
Fourth twelvemonth instructor me decided that she wanted to brand sure as shooting her Algebra 2 students could beak nearly numbers using a to a greater extent than precise vocabulary. So, the boxes made a novel appearance.
This time, though, I wrote on them. Is my handwriting perfect? Nope. But, I'm okay alongside that.
Note to self for side yesteryear side year: Label all 4 sides of the boxes! (And, perhaps the within bottom!)
I also took some Dollar Tree neon index cards together with chopped them inwards half. Each carte du jour was labeled alongside a publish to sort.
Fun colors brand everything better.
I had a graphic organizer from my kickoff twelvemonth of teaching, but I decided to modify upwards the await only the tiniest bit.
We glued this inwards our notebooks. Then, I had the students write the definitions for rational together with irrational numbers. I gave them a quick introduction to the graphing reckoner then they could type diverse numbers inwards to run across what form of decimal they produced. We typed inwards pi. We typed inwards e. We typed inwards 2/3. We typed inwards Radical 2.
H5N1 few minutes earlier shape started, I had decided to allow each educatee alternative a sticker every bit they walked inwards the room. I used a box of random cry badge stickers that lead maintain been inwards my cabinet for ages. Not sure as shooting just how I acquired these...
I wrote out a ready for each of my Algebra 2 classes.
I made it then one-half were rational together with one-half were irrational, but I didn't say them that. ;)
It turns out that the stickers weren't that sticky, together with they didn't remain on that well. One tweep suggested I purpose newspaper plates inwards the future. I genuinely similar that idea!
When kids walked inwards the door, I fanned out the pile of stickers inwards front end of them together with allow them pick out one. They only saw the blank backs. One daughter picked the sticker that said pi. The kickoff words out of her mouth? "Ms. Hagan, I picked your favorite number!" YES!
I justice I did say them this on the kickoff twenty-four hours of school...
After our introduction to the scary looking graphing calculators, I had them type the publish off their cry badge into their calculator. Then, I gave them the chore of sorting themselves into rationals together with irrationals.
In retrospect, I made a error here. I was genuinely only wanting my students to practise using their calculator. But, straightaway a bunch of my students think that y'all lead maintain to type 2/3 into your reckoner to run across if it is rational or irrational. Oops...
I went roughly the room together with had each educatee read out their number. The shape decided if each educatee was inwards the right category. If I were going to attain this again, I would lead maintain everyone sort themselves. Then, I would attain a quick survey together with say the shape how many people were inwards the incorrect place. And, I'd allow them hash out to figure it out. Hind sight genuinely is 20/20.
After nosotros were all sorted correctly, nosotros went dorsum to our seats to complete our notes.
Next, I brought out the nesting boxes.
In 2d period, I set them out on the desk similar this (but nested). And, I had students come upwards up, lead handgrip of a card, together with house it inwards the right box. It didn't operate then well.
In fifth period, I handed the cards out to the kids (either 1 or 2) together with had them walk upwards to the boxes together with position them inwards i time they had used their notes to sort out the number. SO much better!
Sometimes I experience bad that my morn classes are my guinea pigs since my afternoon classes are all repeats. Every morning, I acquire what non to attain when teaching a lesson.
I took the cards out of the box i at a time. On a blank notebook page, the students listed the publish together with what subsets it belonged to. If it was a natural number, I would prompt them alongside "What box does the natural publish box ever correspond inside?" Whole numbers. "What box does the whole publish box ever correspond inside?" Rationals. And then on.
Seeing a 3-d representation genuinely helped my students inwards a agency that the 2-d version inwards their notes didn't.
We went through all of the numbers. It was a fleck to a greater extent than fourth dimension consuming than I'd hoped. If I attain this again, I'd desire to streamline this section. Somehow.
The side yesteryear side day, students came inwards together with institute a die activeness to consummate to roll upwards this skill.
I ever hated Always, Sometimes, Never inwards high schoolhouse geometry. But, I decided to give it a acquire alongside my students. So glad I did!
Here's the canvas I gave them:
On the board, I wrote the numbers 1-6. I asked them to listing unlike types of numbers. They rapidly came upwards alongside 5: natural, whole, integers, rational, together with irrational. It took a few to a greater extent than moments earlier person remembered that those are all types of existent numbers.
I handed out i jumbo foam driblet dead to each tabular array group. The other math instructor I operate alongside gave me these final year, together with my students together with I lead maintain had then much fun alongside them!
This flick shows me using 2 foam dice, but I only did that to present how I got each box filled inwards for my #Teach180 tweet. I had my students only curl i driblet dead 2 times. This meant they had to write the publish subsets inwards a sure as shooting club instead of beingness able to pick out which subset went inwards which slot.
I did an illustration of how the activeness worked on the board for students to see. Then, I ready them release to attain five every bit a group. I went roughly together with stamped them afterwards I checked them.
Look at these cute stamps I picked upwards at Dollar General! They were five for a dollar. I'm non sure as shooting how long they'll last, but the kids were definitely amused alongside them for this activity!
It was slap-up to only live able to walk roughly together with eavesdrop on their conversations. When I noticed students were struggling, I brought over the nesting boxes for them to use. One grouping had rolled this sentence: H5N1 integer is a natural number. Half the grouping catch it was ever true. The other one-half of the grouping catch it was sometimes true. So, I held upwards the integer box for them. You lead maintain a publish inwards this box. Is it ever inwards the natural publish box or is it sometimes inwards the natural publish box? Looking at it this way, the answer seemed obvious to them. Soon, I had groups fighting over who got to locomote along the nesting boxes sitting at their desks. They informed me that I needed to brand a ready of boxes for accomplish grouping because they genuinely helped.
I tried explaining that this was the same every bit the graphic organizer I had given them, but they weren't buying it. I think rolling the driblet dead to brand the problems was the existent selling indicate of this activity. I've institute that anytime I delineate out the die that my kids acquire excited. There's only something particular nearly when the die create upwards one's hear your work instead of the teacher! I institute this was the instance final twelvemonth when working alongside indicate gradient form!
Want to download my files for this lesson? Here y'all go!
First-year instructor me was likewise terrified to write on them alongside a Sharpie for fright of messing them up. So, I held them upwards to illustrate, but they didn't genuinely destination upwards getting much use.
Second together with 3rd twelvemonth instructor me decided that the existent publish subsets weren't genuinely on the end-of-instruction assay then she didn't learn them.
Fourth twelvemonth instructor me decided that she wanted to brand sure as shooting her Algebra 2 students could beak nearly numbers using a to a greater extent than precise vocabulary. So, the boxes made a novel appearance.
This time, though, I wrote on them. Is my handwriting perfect? Nope. But, I'm okay alongside that.
Note to self for side yesteryear side year: Label all 4 sides of the boxes! (And, perhaps the within bottom!)
I also took some Dollar Tree neon index cards together with chopped them inwards half. Each carte du jour was labeled alongside a publish to sort.
Fun colors brand everything better.
I had a graphic organizer from my kickoff twelvemonth of teaching, but I decided to modify upwards the await only the tiniest bit.
We glued this inwards our notebooks. Then, I had the students write the definitions for rational together with irrational numbers. I gave them a quick introduction to the graphing reckoner then they could type diverse numbers inwards to run across what form of decimal they produced. We typed inwards pi. We typed inwards e. We typed inwards 2/3. We typed inwards Radical 2.
H5N1 few minutes earlier shape started, I had decided to allow each educatee alternative a sticker every bit they walked inwards the room. I used a box of random cry badge stickers that lead maintain been inwards my cabinet for ages. Not sure as shooting just how I acquired these...
I wrote out a ready for each of my Algebra 2 classes.
I made it then one-half were rational together with one-half were irrational, but I didn't say them that. ;)
It turns out that the stickers weren't that sticky, together with they didn't remain on that well. One tweep suggested I purpose newspaper plates inwards the future. I genuinely similar that idea!
When kids walked inwards the door, I fanned out the pile of stickers inwards front end of them together with allow them pick out one. They only saw the blank backs. One daughter picked the sticker that said pi. The kickoff words out of her mouth? "Ms. Hagan, I picked your favorite number!" YES!
I justice I did say them this on the kickoff twenty-four hours of school...
After our introduction to the scary looking graphing calculators, I had them type the publish off their cry badge into their calculator. Then, I gave them the chore of sorting themselves into rationals together with irrationals.
In retrospect, I made a error here. I was genuinely only wanting my students to practise using their calculator. But, straightaway a bunch of my students think that y'all lead maintain to type 2/3 into your reckoner to run across if it is rational or irrational. Oops...
I went roughly the room together with had each educatee read out their number. The shape decided if each educatee was inwards the right category. If I were going to attain this again, I would lead maintain everyone sort themselves. Then, I would attain a quick survey together with say the shape how many people were inwards the incorrect place. And, I'd allow them hash out to figure it out. Hind sight genuinely is 20/20.
After nosotros were all sorted correctly, nosotros went dorsum to our seats to complete our notes.
Next, I brought out the nesting boxes.
In 2d period, I set them out on the desk similar this (but nested). And, I had students come upwards up, lead handgrip of a card, together with house it inwards the right box. It didn't operate then well.
In fifth period, I handed the cards out to the kids (either 1 or 2) together with had them walk upwards to the boxes together with position them inwards i time they had used their notes to sort out the number. SO much better!
Sometimes I experience bad that my morn classes are my guinea pigs since my afternoon classes are all repeats. Every morning, I acquire what non to attain when teaching a lesson.
I took the cards out of the box i at a time. On a blank notebook page, the students listed the publish together with what subsets it belonged to. If it was a natural number, I would prompt them alongside "What box does the natural publish box ever correspond inside?" Whole numbers. "What box does the whole publish box ever correspond inside?" Rationals. And then on.
Seeing a 3-d representation genuinely helped my students inwards a agency that the 2-d version inwards their notes didn't.
We went through all of the numbers. It was a fleck to a greater extent than fourth dimension consuming than I'd hoped. If I attain this again, I'd desire to streamline this section. Somehow.
The side yesteryear side day, students came inwards together with institute a die activeness to consummate to roll upwards this skill.
I ever hated Always, Sometimes, Never inwards high schoolhouse geometry. But, I decided to give it a acquire alongside my students. So glad I did!
Here's the canvas I gave them:
On the board, I wrote the numbers 1-6. I asked them to listing unlike types of numbers. They rapidly came upwards alongside 5: natural, whole, integers, rational, together with irrational. It took a few to a greater extent than moments earlier person remembered that those are all types of existent numbers.
I handed out i jumbo foam driblet dead to each tabular array group. The other math instructor I operate alongside gave me these final year, together with my students together with I lead maintain had then much fun alongside them!
This flick shows me using 2 foam dice, but I only did that to present how I got each box filled inwards for my #Teach180 tweet. I had my students only curl i driblet dead 2 times. This meant they had to write the publish subsets inwards a sure as shooting club instead of beingness able to pick out which subset went inwards which slot.
I did an illustration of how the activeness worked on the board for students to see. Then, I ready them release to attain five every bit a group. I went roughly together with stamped them afterwards I checked them.
Look at these cute stamps I picked upwards at Dollar General! They were five for a dollar. I'm non sure as shooting how long they'll last, but the kids were definitely amused alongside them for this activity!
It was slap-up to only live able to walk roughly together with eavesdrop on their conversations. When I noticed students were struggling, I brought over the nesting boxes for them to use. One grouping had rolled this sentence: H5N1 integer is a natural number. Half the grouping catch it was ever true. The other one-half of the grouping catch it was sometimes true. So, I held upwards the integer box for them. You lead maintain a publish inwards this box. Is it ever inwards the natural publish box or is it sometimes inwards the natural publish box? Looking at it this way, the answer seemed obvious to them. Soon, I had groups fighting over who got to locomote along the nesting boxes sitting at their desks. They informed me that I needed to brand a ready of boxes for accomplish grouping because they genuinely helped.
I tried explaining that this was the same every bit the graphic organizer I had given them, but they weren't buying it. I think rolling the driblet dead to brand the problems was the existent selling indicate of this activity. I've institute that anytime I delineate out the die that my kids acquire excited. There's only something particular nearly when the die create upwards one's hear your work instead of the teacher! I institute this was the instance final twelvemonth when working alongside indicate gradient form!
Want to download my files for this lesson? Here y'all go!
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