Lesson Plan
National Council of Teachers of Mathematics

National Debt and Wars

For Teachers 9th - 12th Standards
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
Unit Plan
Radford University

Business Ownership

For Teachers 9th - 12th Standards
Let's learn a little bit about business! Given information about a t-shirt company, young mathematicians explore the revenue, costs, profits, and future sales. They develop mathematical models for these quantities using linear,...
Lesson Plan
EngageNY

Constant Rate

For Teachers 8th Standards
Two-variable equations can express a constant rate situation. The instructional activity presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the...
Lesson Plan
EngageNY

Modeling a Context from a Graph

For Teachers 9th - 10th Standards
Collaborative pairs develop functions that model a graph from a context using the modeling cycle. They then analyze their function models in order to answer questions about the scenario.
Lesson Plan
EngageNY

Graphs of Quadratic Functions

For Students 9th - 10th Standards
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
Activity
101 Questions

Deodorant

For Teachers 9th - 12th Standards
Smells like learning! Young scholars collect data on the length of time a stick of deodorant lasts. After modeling the data with a graph and function, they make predictions about deodorant use over time.
Unit Plan
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Mathematics Vision Project

Module 7: Connecting Algebra and Geometry

For Teachers 8th - 10th Standards
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Worksheet
Lane Community College

Review Sheets: College Algebra

For Students 9th - 12th
A jam-packed activity has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for everyone. Each...
Lesson Plan
EngageNY

Integer Sequences—Should You Believe in Patterns?

For Students 9th - 10th Standards
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Assessment
CCSS Math Activities

Patchwork

For Students 9th - 12th Standards
Patch up any misconceptions about writing functions. Scholars undertake a performance task that has them first examine a pattern in patchwork cushions. They represent the patterns in triangular and rectangular blocks using a table and as...
PPT
Curated OER

Calculus 10.2 day 2 - Vector Valued Functions

For Teachers 11th - 12th
Looking for a lesson on vectors?  Here is a PowerPoint that has six examples for finding velocity, acceleration, speed and direction of motion. One of the examples demonstrates the use of the TI-89 Graphing Calculator to solve a...
Activity
Curated OER

Algebra 2 Desmos Graphing Project

For Teachers 9th - 12th Standards
Encourage class members to get creative with functions. Pairs write their names and draw pictures using a graphing application with a collaborative graphic project. The resource provides the requirements for the project, as well as a...
AP Test Prep11:24
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Flipped Math

Calculus AB/BC - Approximating a Function's Value Using Local Linearity

For Students 10th - 12th
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
Activity
Noyce Foundation

Double Down

For Students K - 12th Standards
Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.  
Lesson Plan
Curated OER

Connections Involving Linear And Quadratic Functions

For Teachers 9th - Higher Ed
In this math worksheet, students determine the range of the function. Then they graph the functions while finding the coordinates on the plane.
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
Worksheet
Curated OER

Hands On: Linear Equations

For Students 5th
In this linear equation worksheet, 5th graders complete the equations, and fill in the function tables, before graphing the equation on the coordinate planes in 4 problems . They use equations with variables to solve 2 problems.
Lesson Plan
Curated OER

Algebra 2 - Linear Programming

For Teachers 10th - 11th
Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this differentiability worksheet, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page worksheet contains a...
Lesson Plan
Curated OER

Graphing Linear Equations

For Teachers 6th - 8th
In this math worksheet, students practice graphing the linear equations on the Cartesian plane. They also create a function table for each.
Lesson Plan
Curated OER

Graphing Linear Equations

For Teachers 7th - 8th
Students graph linear equations. For this algebra lesson, students solve linear equations and graph it on a coordinate plane. They evaluate integers using linear equations.
Worksheet
Curated OER

Easy Worksheet: Limits

For Students 11th - 12th
In this limits worksheet, students solve 4 short answer problems. Students find the limits of trig, linear, root, and rational functions as x approaches a specified value.
Lesson Plan
Curated OER

Parent Functions Reference

For Teachers 11th - Higher Ed
In this functions worksheet, students explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.
Lesson Plan
Curated OER

Functions and the Vertical Line Test

For Teachers 8th - 12th
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.

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