Assessment
Illustrative Mathematics

Trigonometric Ratios and the Pythagorean Theorem

For Students 9th - 12th Standards
Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...
Assessment
Illustrative Mathematics

Sum and Difference Angle Formulas

For Students 9th - 12th Standards
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
Assessment
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Illustrative Mathematics

Calculations with Sine and Cosine

For Students 9th - 12th Standards
Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...
Assessment
Illustrative Mathematics

Finding Trig Values

For Students 9th - 12th Standards
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the...
Assessment
Illustrative Mathematics

Exploring Sinusoidal Functions

For Students 9th - 12th Standards
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Activity
Curated OER

Sum and Difference angle formulas

For Teachers 10th - 12th Standards
Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...
Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
Lesson Plan
EngageNY

An Area Formula for Triangles

For Teachers 11th - 12th Standards
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Lesson Plan
EngageNY

Modeling Video Game Motion with Matrices 2

For Teachers 11th - 12th Standards
The second day of a two-part instructional activity on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in...

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