Curated OER
Using Graphs
Print and use this useful unit on basic algebraic functions, domain, range, and graphing. Tasks include, illustrating simple functions with a graph, and identifying the domain and range of the function. This twelve-page packet contains...
Curated OER
Reflections of a Quadratic Function
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...
Curated OER
Exploring Power Functions 1
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.
Curated OER
Related Functions
In this function activity, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page activity contains examples,...
Curated OER
Even and Odd Number Maze
In this math instructional activity, students discriminate between even and odd numbers by following a path of odd numbers to reach the end of a maze puzzle. This page has a space travel theme.
Curated OER
Chapter 3: Practice Test - Functions
In this function activity, students find the inverse of functions, determine the horizontal asymptote of functions and graph functions. This three-page activity contains 27 problems.
Curated OER
Functions and Models - Week 2
In this function worksheet, students read word problems and write functions to solve them. They explore the domain and range of each function. This two-page worksheet contains eight story problems.
Curated OER
Worksheet 9, Rational Functions
In this algebra worksheet, learners tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...
Curated OER
Functions and Logarithms
In this function and logarithm worksheet, young scholars use functions and logarithms to find the sum of digits in a given series. They determine the value of an expression and find the distance between the points of intersection. This...
Curated OER
Functions and Logarithms - Week 4
In this function and logarithm worksheet, students solve function problems by finding the sum of the digits. They use logarithms to solve graphing problems and find the number of prime numbers. This three-page worksheet contains eight...
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...
Flipped Math
End Behavior
Determine which way to go. Pupils learn how the leading term determines the end behavior of a polynomial function. They see how to use the end behavior of a polynomial to identify the graph of the function before practicing their skills...
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs of...
Curated OER
Final Exam Review: College Algebra
In this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations. They identify the slope of a line and write linear equations. Students use Cramer's rule, graphing, substitution,...
Curated OER
Functional Analysis
Learners perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
Computer Science Unplugged
The Peruvian Coin Flip–Cryptographic Protocols
A digital flip. Introduce your classes to cryptographic protocols using and, or, and not gates. Groups create a complete circuit to convert a binary number into another one. This type of one-way function allows pupils to verify the...
Curated OER
Sum and Difference angle formulas
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...
Curated OER
In and Out Function
Third graders examine how to solve in and out function problems, or mystery numbers. They analyze a variety of mystery number problems together and extend the patterns. Students then independently complete a Mystery Number activity...
Curated OER
Domain and Range
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...
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...
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...
Curated OER
Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
Curated OER
Worksheet 11 - Fall 95
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.