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Lesson Plan
Virginia Department of Education

Functions: Domain, Range, End Behavior, Increasing or Decreasing

For Students 9th - 12th Standards
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
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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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PPT
University of North Texas

Library of Functions

For Students 9th - 12th Standards
Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class discussions. 
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Assessment
Mathematics Assessment Project

Printing Tickets

For Students 8th - 10th Standards
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.
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Lesson Plan
EngageNY

Using Linear Models in a Data Context

For Teachers 8th Standards
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
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Lesson Plan
EngageNY

Linear Equations in Two Variables

For Teachers 8th Standards
Create tables of solutions of linear equations. A lesson has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph. 
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Lesson Plan
West Contra Costa Unified School District

Evaluating Functions

For Teachers 8th - 10th Standards
Functions as inputs for other functions? After reviewing function notation and how to input values to evaluate functions, class members input functions into functions, essentially determining the composition of functions.
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Unit Plan
Mathematics Vision Project

Module 3: Features of Functions

For Students 8th - 10th Standards
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
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Lesson Plan
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West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II instructional activity guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made...
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Worksheet
Shmoop

Functions Worksheet 6

For Students 9th - 12th Standards
Instead of the typical function application problems, learners think a little deeper through these ten problems. Multiple types of functions are represented and the questions add a variety of thinking to practice their skills. 
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Instructional Video18:18
2
2
Flipped Math

Piecewise Functions

For Students 9th - 10th Standards
Break it up into pieces to solve the problem. Individuals watch a video on how to graph and determine the equation and values of piecewise functions. Viewers then work several exercises to practice evaluating a piecewise function at...
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Unit Plan
Curated OER

Linear and Exponential Functions

For Teachers 8th - 11th Standards
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
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Lesson Plan
Curated OER

Applying Properties to Variables

For Teachers 8th
Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...
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Worksheet
Curated OER

Using Linear Models

For Students 11th
In this Algebra II worksheet, 11th graders examine models whose behavior can be described by a linear function.  The four page worksheet contains explanation of topic, three guided problems, and eight practice problems.  Answers are not...
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Worksheet
Curated OER

Numerical Analysis: Nonlinear Equations

For Students Higher Ed
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
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Worksheet
Curated OER

Graphing and Analyzing

For Students 9th
In this graphing and analyzing worksheet, 9th graders first state if each graph represents a linear or nonlinear relationship. Second, they create a difference table for each set of data presented and determine whether it represents a...
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Lesson Plan
Curated OER

Flipping Coins: Density as a Characteristic Property

For Teachers 9th - 12th Standards
Young scholars explore linear functions in a crime solving context. They collect and analyze data using linear equations, then interpret the slope and intercepts from a linear model.
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Lesson Plan
Curated OER

Where Should They Hold the Fundraising Party?

For Teachers 7th - 11th Standards
Pupils explore financial applications of linear functions. As they investigate the steps necessary to plan a fundraising event, learners explore minimizing cost and maximizing profits.
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Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 9th - 12th
Learners explore the concept of logarithms.  In this logarithms activity, students discuss the logarithm properties.  Learners use linear functions as a basis to develop the logarithm properites by substituting log b and log a for x and y.
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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 2)

For Teachers 11th - 12th Standards
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
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Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
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Lesson Plan
Virginia Department of Education

Graphing Linear Equations

For Students 8th Standards
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.
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Lesson Plan
EngageNY

Translating Graphs of Functions

For Students 9th - 10th Standards
If you know one, you know them all! Parent functions all handle translations the same. This lesson examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs when...
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Worksheet
2
2
Flipped Math

Unit 8 Review: Functions

For Students 9th - 10th Standards
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...

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