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Assessment
Illustrative Mathematics

Identifying Even and Odd Functions

For Students 9th - 12th Standards
Is it even ... or odd? The task provides four functions to identify as being even, odd, or neither. Pupils use algebraic methods to make their decisions with select exponential, quadratic, and cubic functions.
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Interactive
CK-12 Foundation

Even and Odd Functions and Function Symmetry: Even and Odd Functions

For Students 10th - 12th Standards
Even, odd, or neither? Pupils study even and odd functions using a well-balanced interactive. They determine whether a given function is even or odd from its graph.
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Lesson Plan
1
1
Curated OER

Sum of Even and Odd

For Teachers 9th - 12th Standards
Your algebra learners will make use of structure and manipulate expressions involving function notation using the definition of odd and even functions. They then advance even further to analyze the structure in a system of two equations.
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Interactive
CK-12 Foundation

Even and Odd Functions and Function Symmetry: Even and Odd Functions (Symmetry)

For Students 10th - 12th Standards
Even money states that the resource is good to use. Scholars manipulate an interactive to adjust the portion of a graph to the left of the y-axis. The interactive allows them to switch between even and odd modes that show the right side...
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Activity
Illustrative Mathematics

Identifying Even and Odd Functions

For Teachers 8th - 12th Standards
Use a worksheet to give learners practice in identifying even and odd functions. The problems on this page are also appropriate for use as assessment items, or you can use them with GeoGebra to interactively present concepts. The task is...
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Worksheet
Curated OER

Transformations with Functions

For Students 10th - 11th
In this transformations instructional activity, students solve and graph 8 different problems related to various forms of functions. First, they write the equation for the graph of a function given. Then, students describe the...
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Assessment
Mt. San Antonio Collage

Quiz 1: Functions, Domain and Range

For Students 9th - 12th Standards
Take the work out of worksheets and use these problems and worked-out answer key as a resource. The problems reinforce skills in domain and range, identifying graphs, and even and odd functions.
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Lesson Plan
EngageNY

Basic Trigonometric Identities from Graphs

For Students 10th - 12th Standards
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 understanding...
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Lesson Plan
Curated OER

Integrals with even Powers of Sine and Cosine

For Teachers 12th
Twelfth graders define integrals and solve equations with trig functions. In this calculus lesson, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.
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Instructional Video9:11
Corbett Maths

Algebraic Proof

For Students 8th - 12th Standards
Proofs do not exist only in geometry. The video shows the class different ways that proofs appear in algebra. Pupils work through a variety of algebraic proofs involving the divisibility of an algebraic expression or whether it is even...
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Worksheet
Kuta Software

Simplifying Radicals/Imaginary Numbers

For Students 9th - 12th Standards
Looking for straightforward practice on simplifying radicals and imaginary numbers? Here are 20 problems to practice these skills and an answer key for the odd-numbered questions. 
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Lesson Plan
Curated OER

Some Explorations With Even And Odd Functions

For Teachers 11th - 12th
In this math worksheet, students explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
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Lesson Plan
Curated OER

Math, Music and Architecture: Kindergarten Geometry and Aesthetics in Music and Architecture

For Teachers K - 8th
Students identify and name different geometrical shapes. In this math lesson, students distinguish odd from even numbers. They describe the properties of 2 and 3 dimensional objects.
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Worksheet
Curated OER

Recognizing Shapes

For Students 1st - 2nd
What are these shapes? Learners examine pairs of six familiar shapes: circle, oval, triangle, hexagon, square, and rectangle. Each pair is placed together because of a common attribute, which is described above. Learners name the shapes...
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Handout
Vancouver Community College Learning Centre

Symmetry & Odd/Even Functions

For Students 10th - Higher Ed Standards
This straightforward worksheet provides learners with valuable practice in identifying different symmetries of functions.  Brief, but thorough explication at the front of the worksheet guides and reminds learners of the techniques they...
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Worksheet
Curated OER

Chapter 3 - Worksheet 3E - Functions

For Students 11th - 12th
In this function worksheet, students observe graphs and determine if the function of the graph is odd or even. They find the inverse of a function and determine the horizontal asymptote of a function. This four-page worksheet contains...
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Lesson Plan
Curated OER

Graphing Polynomials of Higher Degree

For Teachers 10th - 12th
Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...
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Handout
1
1
World Mysteries

Pascal’s Triangle and Sierpinski Triangle

For Teachers 6th - 11th Standards
Your learners will enjoy this one-page, color-coded poster containing Pascal's triangle and its connection to Sierpinski's triangle. By coloring odd numbers orange and even numbers green on Pascal's triangle a pattern evolves,...
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Lesson Plan
1
1
EngageNY

Structure in Graphs of Polynomial Functions

For Students 10th - 12th Standards
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
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Assessment
Concord Consortium

Adding the Sines

For Students 11th - 12th Standards
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...
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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...
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Lesson Plan
Curated OER

Reflections of a Quadratic Function

For Teachers 9th - 12th
Students are asked to explain the relationship between f(s) and f (-x). They are asked to determine how the equation of f(x) differs from the equation of f(-x). Students determine the conditions when f(x) is the same as f(-x). They graph...
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Lesson Plan
Curated OER

Exploring Power Functions 1

For Teachers 9th - 12th Standards
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
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Worksheet
Curated OER

Domain and Range

For Students 12th - Higher Ed
In this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...

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