CK-12 Foundation
Input-Output Tables for Function Rules
Make the abstract a bit more concrete with an interactive that asks learners to slide an input value through a function to determine the output. Changing the slope and y-intercept allows them to see the how the output values change.
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target M
Your knowledge of graphs is a function of how much you try. Young mathematicians work on a set of 12 questions that covers graphing functions, comparing functions, and rewriting functions in different forms to determine key features....
West Contra Costa Unified School District
Graph Square Root and Cube Root Functions
Scholars first learn to graph square root and cube root functions by creating a table of values. They then learn how to graph functions from transformation of the graphs of the parent square root and cube root functions.
Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Concord Consortium
Rational and Not So Rational Functions
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...
Mathematics Assessment Project
Representing Trigonometric Functions
Discover the classic example of periodicity: Ferris wheels. Young mathematicians learn about trigonometric functions through Ferris wheels. They match functions to their graphs and relate the functions to the context.
Mathematics Assessment Project
Representing Quadratic Functions Graphically
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
Illustrative Mathematics
Foxes and Rabbits 2
The fox population chases the rabbit population. Groups model the populations of foxes and rabbits with two trigonometric functions. Individuals graph both trigonometric models on the same graph, and then teams determine an explanation...
EngageNY
Graphing Rational Functions
Put everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...
EngageNY
Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
CK-12 Foundation
Basic Inverse Trigonometric Functions: Ladder
Lean a ladder against the wall to create an angle. Class members use an interactive application to determine the angle a ladder makes with the ground. Individuals respond to five questions using inverse trigonometric functions.
Charleston School District
Review Unit 3: Functions
Time to show what you know about functions! The review concludes a series of nine lessons on the basics of functions. The problems included are modeled from the previous lessons. Pupils determine if a table represents a function,...
Curated OER
Worksheet 3.1 Functions
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
Curated OER
Exercise Set 2.6: An Introduction to Functions
In this functions learning exercise, students solve 70 short answer questions. Students find domain of functions and evaluate them for a given value. Students determine if a mapping diagram represents a function.
Houghton Mifflin Harcourt
Unit 4 Math Vocabulary Cards (Grade 6)
Reinforce math vocabulary with a set of flash cards. Forty-eight cards offer boldly printed words, and their corresponding definition alongside an example with labels. Terms include absolute value, inverse operations, slope, and more!
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function...
Curated OER
Chapter 4 Test: Functions and Integers
In this functions and integers worksheet, students combine positive and negative integers through addition, subtraction, multiplication and division. They complete function tables and graph the results of linear equations. This six-page...
Curated OER
Mixed Tables
Who knows how to operate these multiplication machines? Young mathematicians examine five machines, each with a specific function (i.e. x3) to transform the input numbers to output numbers. They send five numbers through each machine,...
Virginia Tech
Unit Plan: Exponential and Logarithmic Functions
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...
Curated OER
Cool Tools to Solve Challenging Word Problems
Students explore math functions by completing worksheets in class. In this word problem lesson, students read the story A Remainder of One and practice solving division problems from the story. Students complete a worksheet which...