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Interactive
Shodor Education Foundation

Two Variable Function Pump

For Students 9th - 12th Standards
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
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Lesson Plan
1
1
Teach Engineering

Can You Resist This?

For Teachers 7th - 9th Standards
Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear functions with...
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Lesson Plan
Virginia Department of Education

Composition of Functions

For Students 10th - 12th Standards
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
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Worksheet
Curated OER

Graphing Functions

For Students 9th - 11th
In this graphing functions worksheet, students solve and complete 13 different problems that include identifying and graphing various functions. First, they graph each of the functions shown on the graphs provided. Then, students solve...
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Worksheet
Curated OER

Graphing Functions

For Students 9th - 12th
In this graphing functions worksheet, students write functions in logarithmic and exponential forms.  They evaluate logarithms and determine the inverse of a function.  Students graph functions.  This six-page worksheet contains 20...
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Assessment
Mt. San Antonio Collage

Quiz 2: Types of Functions

For Students 9th - 12th Standards
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. 
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Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
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Lesson Plan
EngageNY

Graphing Quadratic Functions from the Standard Form

For Students 9th - 10th Standards
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
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Worksheet
Curated OER

Graphing Lines by Graphing Two Points

For Students 7th - 10th
Use a graphing lines worksheet to have your mathematicians graph the line of a given equation and plot specified points. The first 10 problems have a given equation, and two values. The next 10 problems have a given equation, but your...
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Lesson Plan
EngageNY

Piecewise and Step Functions in Context

For Students 9th - 10th Standards
Looking for an application for step functions? This activity uses real data to examine piecewise step functions. Groups create a list of data from varying scenarios and create a model to use to make recommendations to increase revenue. 
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Lesson Plan
EngageNY

Nonlinear Models in a Data Context

For Teachers 8th Standards
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
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Lesson Plan
EngageNY

The “WhatPower” Function

For Teachers 9th - 12th Standards
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are comfortable...
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Lesson Plan
Curated OER

How Long Can You Go?

For Teachers 8th
Eighth graders examine the usefulness of a line of best fit by collecting and graphing data, using a graphing calculator to determine the line of best fit, and making a variety of predictions. They watch a video, then design a...
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Assessment
Concord Consortium

Rising Prices

For Students 9th - 12th Standards
What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...
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Lesson Plan
Curated OER

Bouncing Ball

For Teachers 9th - 12th Standards
High schoolers collect height versus time data of a bouncing ball using the CBR 2™ data collection device. Using a quadratic equation they graph scatter plots, graph and interpret a quadratic function, apply the vertex form of a...
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Lesson Plan
Curated OER

Basketball Rebounds

For Teachers 9th - 12th Standards
Your young basketball players will build a table and develop a general formula for a decaying exponential scenario involving the rebound distance of a bouncing ball. Using a CBR and graphing calculator can make this even more hands-on...
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Lesson Plan
Texas Instruments

Finding Linear Models Part III

For Teachers 9th - 12th Standards
Explore linear functions! In this Algebra I lesson, mathematicians graph data in a scatter plot and use a graphing calculator to find a linear regression and/or a median-median line. They use the model to make predictions.
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Activity
PBL Pathways

Death Project

For Teachers 10th - Higher Ed Standards
Verify the rule of thumb for finding the time of death. The project-based learning task asks pupils to determine when the rule of thumb process of finding the time of death is appropriate. Learners develop a function for the rule and...
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Assessment
Charleston School District

Pre-Test Unit 4: Linear Funcitons

For Students 8th Standards
Let your classes show you what they know! Use this pre-test to assess the current knowledge of your learners. The assessment includes all pre-algebra concepts related to functions: writing and graphing linear relationships, comparing...
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Worksheet
2
2
Flipped Math

Unit 2 Review: Polynomial Functions

For Students 9th - 12th Standards
Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...
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Lesson Plan
EngageNY

Inverse Functions

For Teachers 11th - 12th Standards
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...
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Lesson Plan
Texas Instruments

Let's Play Ball with Families of Graphs

For Teachers 9th - 12th Standards
Learners explore quadratic equations in this Algebra II instructional activity. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation...
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Worksheet
Curated OER

Exponential Functions

For Students 9th
In this exponential functions activity, 9th graders solve and complete 23 various types of problems. First, they simplify each expression. Then, students evaluate the function at different values of x and plot the ordered pairs. in...
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Lesson Plan
Curated OER

Transformations of Functions 2

For Teachers 9th - 12th Standards
Solving problems on the TI graphing calculator can be quite easy. High schoolers observe the properties of transformation of functions and create a formula for the transformation.