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EngageNY
Basic Trigonometric Identities from Graphs
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...
EngageNY
Transforming the Graph of the Sine Function
Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function.
Project Maths
Trigonometric Functions
From a circle to a cycle! The final lesson of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions. Scholars...
Curated OER
Using Technology to Represent Mathematical Identities
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.
EngageNY
Awkward! Who Chose the Number 360, Anyway?
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
EngageNY
Why Call It Tangent?
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...
EngageNY
Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
Curated OER
Taylor Polynomials
Pupils graph Taylor polynomials in this calculus lesson plan. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
Curated OER
Trigonometry
Students investigate angles converting them from radians to degrees. In this trigonometry lesson plan, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify...
Curated OER
Absolute Maximum and Minimum
Young scholars calculate the maximum and minimum of each function. In this algebra instructional activity, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of...
Curated OER
Composition of Functions
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
Concord Consortium
Adding the Sines
It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Solving Problems Using Sine and Cosine
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....
Curated OER
American Indian Flute and Math
Students investigate the Math behind Musical instruments in this cross-curricular Math lesson on the Native American Flute and waveforms. The lesson can be accomplished in 6 days and includes an extensive materials list for successful...
Curated OER
Adding Trigonometric Functions
Young scholars identify trigonometric functions. In this trigonometry lesson, students add and subtract trigonometric functions. They add sine and cosine waves and relate it to the real world.
Curated OER
Exploring Functions with CAS
Your mathematicians will examine several conjectures regarding even and odd functions and investigate a formal proof of the conjectures using CAS.
Curated OER
Solving Right Triangles
Young scholars investigate the basic trigonometric functions. In this geometry/trigonometry instructional activity, students explore strategies to solve right triangles using basic trigonometric functions. The instructional...