Worksheet
Curated OER

Twenty Inverse Function Problems with Graphing

For Students 8th - 10th
For this function inverse worksheet, students state if the given functions are inverses in eight problems, find the inverse function in eight more problems. Students also find the inverse function and graph the original and inverse...
Lesson Plan
Curated OER

Quadratic Rules and Graphs

For Teachers 9th - 11th
Students identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Lesson Plan
Curated OER

Investigation-How Many Toothpicks?

For Teachers 7th
Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.
Lesson Plan
Curated OER

"You're Hired!'

For Teachers 10th - 12th Standards
Students investigate linear programming using the TI. In this algebra lesson, students collaborate and graph linear inequalities on a TI. They analyze their data and present it to the class.
Lesson Plan
Curated OER

Translate Word Phrases and Sentences into Equations

For Teachers 8th - 11th Standards
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
Lesson Plan
Curated OER

Linear Inequalities in One and Two Variables: Rays and Half Planes

For Teachers 9th - 12th Standards
Define rays and half planes, including the concepts of boundary lines and prerequisite knowledge of coordinate planes. Given linear inequalities in one and two variables, your class will compare the differences. They will also graph...
Lesson Plan
Illustrative Mathematics

Velocity vs. Distance

For Teachers 7th - 9th Standards
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
Assessment
Illustrative Mathematics

Exploring Sinusoidal Functions

For Students 9th - 12th Standards
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Lesson Plan
Curated OER

Exponential Functions

For Teachers 9th - 12th Standards
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
Assessment
Illustrative Mathematics

Identifying Graphs of Functions

For Students 9th - 12th Standards
Take a matching problem and take challenging exponential graphs and combine to make one thought-provoking question. Learners look at four higher level exponential functions to match to the four graphs placed together. The equations and...
Lesson Plan
EngageNY

Increasing and Decreasing Functions 2

For Teachers 8th Standards
Explore linear and nonlinear models to help your class build their function skills. In a continuation of the previous lesson, learners continue to analyze and sketch functions that model real-world situations. They progress from linear...
Lesson Plan
EngageNY

Properties of Trigonometric Functions

For Teachers 11th - 12th Standards
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...
Handout
Charleston School District

Exploring Linear Functions

For Students 8th Standards
What does a graph or equation say about a situation? Lots! The lesson uses the concepts explored in the previous four lessons in the series and applies them to problem solving situations. Learners create an equation from problems posed...
Assessment
1
1
Illustrative Mathematics

Which Function?

For Students 9th - 12th Standards
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations. 
Lesson Plan
Curated OER

Heart Rate Monitoring

For Teachers 7th - 9th Standards
Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....
Lesson Plan
West Contra Costa Unified School District

Derivative – Standard Definition

For Teachers 11th - Higher Ed
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Unit Plan
Radford University

Sleep and Teen Obesity: Is there a Correlation?

For Students 10th - 12th Standards
Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...
Lesson Plan
Pace University

Grades 9-10 Algebra: Graphic Quadratics on the Coordinate Plane

For Teachers 9th - 10th Standards
Find quadratics in the world. Learners select ways to compare and contrast linear and quadratic functions and how to demonstrate knowledge of parabolas in the world. Teachers assign a third task challenging individuals to find equations...
Lesson Plan
Kenan Fellows

Man vs. Beast: Approximating Derivatives using Human and Animal Movement

For Teachers 11th - Higher Ed
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...
Lesson Plan
National Security Agency

Systems of Equations and Inequalities

For Teachers 9th - 12th Standards
High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual...
Lesson Plan
Annenberg Foundation

Skeeters Are Overrunning the World

For Teachers 8th - 10th Standards
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Interactive
Shodor Education Foundation

Derivate

For Students 11th - Higher Ed
Derive tangent lines through derivatives. Scholars use an app to graph functions and investigate derivatives and tangent lines. The interactive automatically graphs a tangent line at a specified point and can also produce tables of values.
Lesson Plan
Willow Tree

Line Graphs

For Students 9th - 12th Standards
Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.