Trigonometry - Unit Of Measurement Ane Interactive Notebook Pages 2016-2017

Today I desire to portion my interactive notebook pages for our outset unit of measurement inwards trigonometry.  Our outset unit of measurement of the twelvemonth is a review of the algebra together with geometry concepts needed for success inwards trig.  

Like amongst every unit, nosotros start out amongst a unit of measurement divider.  This lists all of the SBG skills for the unit.  

This year, I opted to do unit of measurement conversions equally our outset review topic inwards trig.  I chose to do this based on the fact that nosotros volition hold upwards converting betwixt degrees together with radians later.  I desire to brand certain my students sympathise how units cancel earlier nosotros start converting "weird" units similar radians.

This is truly a foldable I used amongst my Algebra 1 students final year.  I blogged well-nigh it here.

To practise roughly real-life unit of measurement converting, I had my students become out inwards the antechamber together with mensurate their speed doing diverse activities such equally walking, running, hopping, or skipping.  Then, nosotros converted our speed to miles/hour together with compared our speed to the speeds of diverse animals.

Here's the creature speed nautical chart I gave my students:

Radicals are something that larn covered inwards depth inwards Algebra 2, but roughly of my students took stats final twelvemonth which agency they haven't seen radicals for a year.  Another educatee is currently enrolled inwards Algebra two along amongst trig, then she hasn't covered radicals either.

I ever honey to emphasize radical vocabulary:

I institute a simplifying radicals puzzle online for my students to consummate together with gum inwards their notebooks:

I made a poof mass for my students to purpose to practise rationalizing the denominator.

Here are the problems nosotros worked through together:

Here is our operations amongst radicals foldable:

My students chose to solely do ane instance nether each flap.  I gauge that agency they truly squall upwards materials from Algebra 2!

Adding Radicals:

Subtracting Radicals:

Multiplying Radicals:

Dividing Radicals:

Instead of simply telling my students that the amount of the angles inwards a triangle is ever 180 degrees (something I promise they squall upwards from geometry!), I decided to receive got them cutting out a triangle together with illustrate it themselves.

We folded ane angle downward to the other side to create a plication that was parallel to the side nosotros were folding towards.  Some students truly struggled amongst this step!

Then, nosotros marked where each angle ended upwards after existence folded.

If students followed the directions properly, all of the angles should receive got formed a instantly line!

Finally, I asked them what geometric concept this proved.  This was definitely non an master copy idea.  I institute an instance of folding a triangle to illustrate the fact that the amount of the angles inwards a triangle is 180 degrees inwards this spider web log post.

To review this concept, I had students discovery the missing angles inwards this diagram that I institute online.  Here's a link the original source.

To review the Pythagorean Theorem, I had my students move through this mass from Jessie Hester.  I honey how this shows students a visual of what the Pythagorean Theorem looks like.

I decided my students needed a Pythagorean Triples reference page inwards their notebooks to become along amongst the posters I receive got hanging inwards my classroom.  Here's a link to download the posters!

  

Here is the page.  You volition notice that 6, 8, 10 is non included on the listing because it is related to 3, 4, 5.

To give my students a fleck to a greater extent than practise amongst give-and-take problems, I typed upwards these Romeo together with Juliet themed problems.  These are slightly modified from this Weebly site.  

I'm a rebel together with chose non to instruct the distance formula since it's way easier to simply purpose the Pythagorean Theorem instead.

Instructions for Finding the Distance Between Any Two Points on the Coordinate Plane:

We made a poof mass of practise problems.  The problems I created inwards this mass were simply random points.  That was a mistake...

Here's the outset work that ended upwards existence a correct triangle amongst sides of length two together with 8.

Here are the minute together with tertiary triangles amongst the same side lengths!!!  Note to self: Try out the problems earlier giving them to your students!

Our final topic of the unit of measurement was particular correct triangles.  The page I'm showing you lot FIRST is truly what nosotros did LAST.  Yes, I'm that instructor who makes my students discovery the designing for themselves.  Here's the summary nosotros wrote equally a cast AFTER nosotros discovered the human relationship that holds truthful for all 45-45-90 correct triangles.

Here's the outset affair my students saw.  Yes, it's a page amongst 12 squares that are cutting yesteryear a diagonal.

Students had to determine the angle measures together with purpose the Pythagorean Theorem to solve for the diagonal.  They continued to maintain chugging along amongst the Pythagorean Theorem until soul inwards the cast noticed a pattern.

After well-nigh the outset iv problems, students started to notice something peculiar.  Soon, they were racing through each question.  No Pythagorean Theorem needed.

We truly did receive got to halt together with think well-nigh how to do the work when nosotros were given the diagonal of the foursquare instead of the length of the sides.  But, nosotros persevered together with figured it out!

To give my students roughly practise amongst 45-45-90 particular correct triangles, I gave them this chore to do inwards modest groups.  I institute this chore inwards the Open Curriculum Task Database.  I loved listening to the conversations my students had equally they struggled through this problem.  And, I hateful "struggle" inwards the best possible way!  

Finally, I wanted students to discovery the designing for 30-60-90 triangles the same way nosotros discovered it for 45-45-90 triangles.  Here's the summary sail nosotros filled out AFTER discovering the designing ourselves:

Here are the problems I posed for my students inwards guild to assist them run into the human relationship for 30-60-90 correct triangles.

For each equilateral triangle, students had to purpose the Pythagorean Theorem to solve for the height of the triangle.  We did this over together with over together with over until the designing began to emerge.  Students were on a ticker for a designing from the get-go because of their sense amongst the 45-45-90 activity.

You're in all probability non surprised that I made a poof mass for my students to practise particular correct triangles.  I'm kinda obsessed amongst these mini-books!

I institute this dragon puzzle online, together with I cruel inwards honey amongst it.  Each of the triangles is a particular correct triangle.  I'm non certain of the master copy source, but I institute it online here.

My students got truly involved inwards this problem, but they truly complained well-nigh the size.  I downsized it to jibe inwards our notebooks, but at that topographic point was then much going on inwards the work that they presently ran out of room to label sides together with angles.  In the future, I'd do this work again, but I think I would impress the dragon on an 11x17 sail of newspaper then students tin write ALL over it.

Files are uploaded here.

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