Finding Trig Ratios of Ordered Pairs Practice Book

I created this practice book to give my trigonometry students practice finding trig ratios of ordered pairs.

I think I could have done a better job of writing out these steps.  Maybe next time I teach trig I will make these steps clearerâ€¦

We took a piece of graph paper and folded it into a poof book.  This let us fit three practice problems onto our page.  I let students pick ordered pairs for the class to work with.  I would choose the quadrant, and students could pick any ordered pair in that quadrant.  This prevented all of our examples from being in the first quadrant.

First Quadrant Example:

Second Quadrant Example:

Third Quadrant Example:

25 Comments

1. Nancy in Indiana says:

Wow! That school has a very cool math department! Looking at your unit made me wish I were teaching math again – I loved trig!

1. Sarah Carter (@mathequalslove) says:

Agreed! It makes me want to make math song videos with my students.

2. Elizabeth says:

awesome post!!!

Elizabeth
Hodges Herald

1. Sarah Carter (@mathequalslove) says:

Thanks Elizabeth!

3. Anonymous says:

Cool! I wish I had learned trig like you teach it! Maybe then I wouldn't be having so many problems with it in my calc course that I'm taking now!

1. Sarah Carter (@mathequalslove) says:

Thank you! Hope you are enjoying calculus!

4. Amy zimmer says:

Love the circle and pipe cleaners. Yeah, what's up with fuzzy sticks?
Love the card sort, wonder why it didn't work. Did you have a big unit circle for them to glue them on? Maybe if they could glue them down on the unit circle it would be more concrete?
Thanks for sharing.
Great picture too, good for you for remembering to take them.

1. Sarah Carter (@mathequalslove) says:

Ooooh! The idea to glue the coterminal angles on a unit circle is BRILLIANT!

5. Miss Math says:

This is AMAZING! The school I teach at does Trig second semester and I've been racking my brain with how to do a more interactive notebook for it but it was just coming out bad. Thank you SO much for posting this!! I can't wait to see the next unit.

1. Sarah Carter (@mathequalslove) says:

Thanks! Glad I could provide some inspiration.

6. Unknown says:

I have found a few videos from WSHS, and they are fantastic! Have you seen Super base (about exponents) and Teach me how to factor? AmAzIng!!

1. Sarah Carter (@mathequalslove) says:

I have seen them, but I've never used them with my students. Thanks for the rec!

7. Unknown says:

I used this activity and my students had a good time. It's great to refer to continuously throughout a unit. It worked well for my SPED, beginner trig students and more proficient ones too! I'm glad I took the extra time to have them make the manipulative. Thanks! "Team work makes the dream work". ðŸ™‚

1. Sarah Carter (@mathequalslove) says:

That's great to hear!

8. Unknown says:

Thank you!!!!! I used many of your ideas for my first attempt with an interactive notebook. I love it and better yet, my students love it! DO you have any pages for trig identities?

1. Sarah Carter (@mathequalslove) says:

We did a few pages last year, but I don't remember them being worth posting. Just lots of practice problems. Sorry!

9. V. Krishnan says:

Thank you very much for all the wonderful ideas. I can't wait to use them in my trigonometry class. I especially love the bowtie idea for reference angles and the pipecleaner example to teach radian measure. What a fun way to show that you have same number of radians in a circle irrespective of how big the circle is!

1. Sarah Carter (@mathequalslove) says:

Have fun! I miss teaching trig.

10. Unknown says:

do you teach a trig unit in algebra 2? wondering how to order my topics to have better success then last year :\$

1. Sarah Carter (@mathequalslove) says:

Algebra 2 in OK currently contains zero trig content.

11. cathy olshefski says:

thank you for posting–might use some of these

1. Sarah Carter (@mathequalslove) says:

Hope you can find something useful!

12. Unknown says:

Sarah, I must tell you how much you've helped me get back into teaching. I've enjoyed reading your blog posts and seeing the evolution of your teaching methods. Thank you so much!

1. Sarah Carter (@mathequalslove) says:

You're very welcome!

13. Amy says:

Here'e the song I use with my students:

"Trace your finger 'round a jar
Circumference equals 2 pi r.
For area, we multiply
r squared times that number pi.
Twinkle, twinkle, you're a star,
learning math will take you far!"

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