Worksheet
Curated OER

Functions and Their Graphs

For Students 8th - 11th Standards
Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test.  However, the problems are pretty...
Activity
Illustrative Mathematics

Zeroes and factorization of a non polynomial function

For Teachers 10th - 12th Standards
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
Worksheet
Curated OER

Three Methods for Using Quadratic Functions to Model Data

For Students 10th - 12th
In this modeling data learning exercise, students use quadratic functions to model data using three different methods.  This learning exercise provides explanations and an example.  Additionally, students are given the steps to...
Worksheet
Curated OER

Arithmetic Patterns

For Students 2nd - 4th
When one number goes in, another comes out. Scholars are introduced to math functions as they multiply, subtract, and divide numbers to get new ones. There are three functions and tables of numbers here; pupils apply the rule to each...
Activity
Illustrative Mathematics

Graphs of Power Functions

For Teachers 8th - 12th Standards
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...
Worksheet
Curated OER

Arithmetic Patterns

For Students 2nd - 3rd
Pupils experience math functions as they practice their addition and subtraction skills, and fill in each table based on a given rule. There are two columns in each of the four tables. The in column is already completed and...
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...
Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Worksheet
Curated OER

Graph of a Function

For Students 11th - Higher Ed
For this graph of a function worksheet, students graph a function and find the value at a given point. They determine the absolute minimum and maximum of an interval. This two-page worksheet contains three problems.
Lesson Plan
Curated OER

Worksheet 2: In/Out Table of Returns of Corn Yields

For Teachers 7th - 8th
In this function worksheet, young scholars determine the gross price earned per acre of crops planted. They recognize ratios and proportions as they determine the yield of each crop.
Worksheet
Curated OER

Solving Equations

For Students 9th
In this solving equations worksheet, 9th graders solve 24 different problems. First, they find the zeros of each function. Then, students solve each equation by factoring. They also solve each equation by completing the square and...
Worksheet
Curated OER

Tables and xy-Coordinates

For Students 7th - 9th
Use this graphing functions instructional activity to have learners complete four tables and graph the results on the included coordinate grid.
Worksheet
Curated OER

Using a "Natural Function" not a equation to discuss derivatives

For Students 12th - Higher Ed
In this derivative learning exercise, students relate the concept of the derivative to the "real world" model of seasons.  Students are then asked to discuss zeros, increasing values, decreasing values, and critical values of this...
Worksheet
Curated OER

Evaluating Functions

For Students 11th
In this evaluating functions worksheet, 11th graders solve and complete 24 various types of problems. First, they evaluate the functions for the given values. Then, students graph each of piecewise functions. They also write an equation...
Worksheet
Curated OER

Composition of Functions

For Students 10th
In this composition of functions worksheet, 10th graders solve 10 different problems that include determining the composition of various given functions. First, they use the two given functions to determine the composition in each...
Worksheet
Math Mammoth

Functions in Coordinate Grid 1

For Students 7th - 8th
In this math worksheet, students are given 4 tables of x-y coordinates and a grid. Students figure the relationship between the x and y coordinate and plot the points. Students then use a given rule to find the y coordinate.
Worksheet
Curated OER

Quadratic Functions

For Students 9th - 11th
In this quadratic functions worksheet, learners solve and complete 16 various types of problems. First, they find the information for each equation and graph each problem on a grid. Then, students write the quadratic functions in...
Worksheet
Curated OER

Graphing Rational Functions

For Students 11th
In this Algebra II worksheet, 11th graders graph rational functions and use the graph to solve real-life problems. The four page worksheet contains forty-one problems. Answers are not provided.
Worksheet
Curated OER

Quadratic Function Word Problems

For Students 6th
In this problem solving activity, 6th graders use the Vertical Motion Model to work out and solve 8 quadratic functional word problems.
Worksheet
Curated OER

Lesson 25 - Applications of Logarithmic Functions

For Students 9th - 12th
in this applications of logarithmic functions activity, students solve 11 short answer problems. Students use logarithms to find half lives, compound interest, and population growth given a word problem.
Worksheet
Curated OER

Finding the Inverse from a List or Function

For Students 8th - 12th
In this algebra activity, students reverse the numbers of a list to determine the inverse or start with a function to find the inverse. There are 4 questions.
Lesson Plan
EngageNY

Waves, Sinusoids, and Identities

For Teachers 11th - 12th Standards
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
Lesson Plan
Curated OER

Quadratic Functions

For Teachers 8th - Higher Ed
In this graphing quadratic equations worksheet, students find the vertex and graph the parabola for 24 quadratic equations. The final four are factored into binomials to increase accuracy of the x intercepts.
Lesson Plan
Virginia Department of Education

Quadratic Modeling

For Teachers 10th - 12th Standards
Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....

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