CK-12 Foundation
Even and Odd Functions and Function Symmetry: Even and Odd Functions
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.
Illustrative Mathematics
Identifying Even and Odd Functions
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.
CK-12 Foundation
Even and Odd Functions and Function Symmetry: Even and Odd Functions (Symmetry)
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...
Curated OER
Sum of Even and Odd
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.
Illustrative Mathematics
Identifying Even and Odd Functions
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...
Mt. San Antonio Collage
Quiz 1: Functions, Domain and Range
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.
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 understanding...
Curated OER
Integrals with even Powers of Sine and Cosine
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.
Corbett Maths
Algebraic Proof
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...
Curated OER
Some Explorations With Even And Odd Functions
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.
Vancouver Community College Learning Centre
Symmetry & Odd/Even Functions
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...
Curated OER
Recognizing Shapes
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...
West Contra Costa Unified School District
Solving Quadratic Equations – Alternative Methods
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...
Teach Engineering
Boxed In and Wrapped Up
If cubes have the smallest surface area, why aren't there more cube-shaped packages? Scholars take a box in the shape of a rectangular prism, cut it up, and make new boxes in the shape of cubes with the same volume. They then brainstorm...
Curated OER
Fractions of Shapes
Fraction models are a great way to help scholars visualize this concept, and they focus on thirds with these practice problems. First, there are five shapes each segmented into three even sections. Learners color in one-third of each,...
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the different...
Curated OER
The Monkey and the Coconuts
In this puzzle based worksheet, students read a short story featured in the Saturday Evening Post in 1926. After reading the story, students determine the starting number of coconuts that were available to the shipwrecked island dwellers.
Curated OER
Integrals with Even Powers of Sine and Cosine
Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
Curated OER
Integrals with Even Powers of Secant and Tangent
Students integrate integrals that involve even powers of tangents and secants. They work several problems that require the use of integration, and the identity tan^2x+1=sec^2x. Students use integration by parts for the first integral....
Curated OER
Graphing Polynomials of Higher Degree
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...
Curated OER
Spelling by Picture-Shapes
Learn how to spell the names of basic shapes. Ten shapes are shown, and the learner must write the correct spelling in the spaces provided to the left. There's even a bit of scaffolding provided for your youngsters, as each letter has...
DK Publishing
Finish the Picture
Youngsters add some shapes to this castle drawing before analyzing its geometry. They count the circles, triangles, rectangles, and squares. The objectives here include drawing, recognizing, and counting shapes as well as writing numbers...
Curated OER
Fractions of Shapes
Modelling fractions through shapes is a great way to demonstrate this concept to beginners. Learners examine 12 shapes, each divided into an even number of equal segments (up to 16 parts). They shade in half of each shape by shading half...
Curated OER
Symmetry
Where is the line of symmetry? Learners begin by drawing in a line to split three images evenly in half, using an example as reference. Encourage them to think about physically folding the picture to solidify this concept. Next, they do...
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