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...
Handout
Gottlieb

Kennings vs. Stock Epithets – A Quick Review

For Students 11th - 12th Standards
Bone-crusher. Troll-wife. Battle-sweat. Blood-worm. What study of Beowulf would be complete without offering readers of this Old English epic poem an opportunity to craft their own kennings and epithets? Provide individuals with a copy...
Worksheet
Wordly Wise 3000 Online

Viva Cinco de Mayo

For Students 4th - 8th Standards
Many people think Cinco de Mayo is the celebration Mexican independence, but they're incorrect. Learn about the battle of Puebla and the victory of General Zaragoza with a short reading passage that includes comprehension and vocabulary...
Handout
Massachusetts Institute of Technology

List of Chemicals in Space

For Students 9th - 12th
What is space made of? It turns out that there are many compounds found in space! The 10th lesson of a science series provides a list of the compounds found in space and asks young scholars to research the characteristics of these...
Worksheet
Prestwick House

To Kill a Mockingbird

For Students 9th - 12th Standards
Harper Lee's classic tale of Scout Finch's experience with prejudice and racism, To Kill a Mockingbird, provides the text for a 23-clue crossword puzzle.
Worksheet
Yummy Math

A Cardioid for Valentine’s Day

For Students 7th - 12th Standards
It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.
Lesson Plan
Project Maths

The Unit Circle

For Teachers 9th - 12th Standards
It's not just any circle—it's the unit circle. The fourth lesson in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit circle and how to...
Writing
Curated OER

30 Writing Prompts for National Poetry Month

For Students 6th - 10th Standards
A collection of writing prompts are so fun, you'll want to finish them yourself! Learners practice narrative prose and poetry skills with prompts that twist traditional structure, provide wild vocabulary, and encourage pupils to...
Lesson Plan
EngageNY

Sine and Cosine of Complementary Angles and Special Angles

For Students 9th - 10th Standards
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous activity in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the...
Lesson Plan
EngageNY

Solving Problems Using Sine and Cosine

For Students 9th - 10th Standards
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles....
Lesson Plan
EngageNY

Using Trigonometry to Determine Area

For Students 9th - 10th Standards
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
Lesson Plan
EngageNY

Cyclic Quadrilaterals

For Teachers 9th - 12th Standards
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
Lesson Plan
EngageNY

Why Call It Tangent?

For Students 10th - 12th Standards
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...
Assessment
EngageNY

Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
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...
Lesson Plan
1
1
EngageNY

Revisiting the Graphs of the Trigonometric Functions

For Teachers 11th - 12th Standards
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
Lesson Plan
EngageNY

Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
Lesson Plan
Curated OER

Using Technology to Represent Mathematical Identities

For Teachers 11th - Higher Ed
Students explore the concept of trig identities. In this trig identity lesson, students use Mathematica to graph trig identities. Students see the trig identities graphically and enforce the notion that two trig functions can be equivalent.
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...
Lesson Plan
Curated OER

Worksheet 31 - Doman & Range

For Teachers Higher Ed
In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...
Worksheet
Curated OER

Solving Quadratic Trigonometric Equations

For Students 10th - 12th
In this trigonometry learning exercise, students solve quadratic trigonometric equations. The seven page learning exercise contains explanation, examples, and sixteen multi-part questions. Answers are not included.
Lesson Plan
Curated OER

Worksheet 19-Spring 1996

For Teachers Higher Ed
In this math worksheet, students begin with the Maclaurin series and prove De Moivre's Theorem. They use the De Moivre Theorem to solve four problems. Students apply these theorems to explain why a flock of geese will fly in an uneven...
Lesson Plan
Curated OER

Worksheet 13 - Implicit Differentiation

For Teachers Higher Ed
In this implicit differentiation worksheet, students differentiate expressions and identify the derivative of a function. This one-page worksheet contains six multi-step problems.
Lesson Plan
Curated OER

Basic Trigonometric Ratios

For Teachers 11th - 12th
In this trigonometric ratio worksheet, students determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the bottom...

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