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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.

Finding Trig Ratios of Ordered Pairs Practice Book

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 clearer…

Finding Trig Ratios of Ordered Pairs Practice Book

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:

Finding Trig Ratios of Ordered Pairs Practice Book

Second Quadrant Example:

Finding Trig Ratios of Ordered Pairs Practice Book

Third Quadrant Example:

Finding Trig Ratios of Ordered Pairs Practice Book

More Activities for Teaching Trigonometry

Sarah Carter teaches high school math in her hometown of Coweta, Oklahoma. She currently teaches AP Precalculus, AP Calculus AB, and Statistics. She is passionate about sharing creative and hands-on teaching ideas with math teachers around the world through her blog, Math = Love.

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25 Comments

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

  3. 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!

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

  5. 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.

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

  7. 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". 🙂

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

  9. 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!

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

  12. 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!

  13. 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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