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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Whats My Rule?

For Students 6th - 9th Standards
What's the rule that makes it true?  A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.
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Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
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Lesson Plan
EngageNY

Representations of a Line

For Teachers 8th Standards
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
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Lesson Plan
Curated OER

Interactivate: Introduction to Functions

For Teachers 7th - 9th
This interactive website provides a variety of lesson plans according to which standards you are applying and which textbook you use. Introduce functions to your class by having them construct single operation machines and create...
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Handout
Charleston School District

Sketching a Piecewise Function

For Students 8th - 9th Standards
How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...
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Lesson Plan
Chicago Teachers Union Quest Center

Factored Form of a Quadratic Function

For Teachers 9th - 12th Standards
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
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Worksheet
Curated OER

Sets, Relations, and Functions

For Students 9th - 11th
Sets, relations, functions, and graphing linear equations are practiced in this challenging worksheet. The class determines if a relation is a function or not and find the functional value of a domain element. The one page worksheet...
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Handout
Charleston School District

Graphing Functions

For Students 8th Standards
How do letters and numbers create a picture? Scholars learn to create input/output tables to graph functions. They graph both linear and nonlinear functions by creating tables and plotting points. 
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Instructional Video19:38
2
2
Flipped Math

Graphing Functions to Solve Equations

For Students 9th - 10th Standards
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
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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...
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Performance
Radford University

Linear Equations in Real Word Problems

For Teachers 9th - 12th Standards
Make up a story about a linear graph. Scholars identify key features of a linear graph, such as intercepts, domain and range, and slope. They then create a word problem that could be represented by the graphed line.
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Interactive
CK-12 Foundation

Linear Equations: Temperature Transitions

For Students 8th - 10th Standards
Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the y-intercept.
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Lesson Plan
Curated OER

How Dense is Salt Water?

For Teachers 6th - 8th Standards
Young schoolers explore the concept of linear regression. They determine the mass and density of salt water. Pupils add salt to water and record the density as salinity increases, and perform a linear regression on the data to model the...
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Lesson Plan
Curated OER

Linear Functions

For Teachers 8th - 10th
Students solve and graph linear equations. For this algebra lesson, students collect data and plot it to create a linear function. They identify the domain and range of each line.
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Lesson Plan
Curated OER

Linear and Exponential Models

For Teachers 9th - 12th
Students investigate the differences between linear and exponential models.  In this linear and exponential models lesson, students make a table of given data.  Students determine if the data is linear or exponential by plotting the data...
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Lesson Plan
Curated OER

Functions and the Vertical Line Test

For Teachers 7th - 9th
Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
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Lesson Plan
Curated OER

Products of Linear Functions

For Teachers 8th - 10th
Students investigate the horizontal intercepts of functions. In this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
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Lesson Plan
Curated OER

Iterating Linear Functions

For Teachers 7th - 9th
Students use a spreadsheet to investigate data. In this algebra instructional activity, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.
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Lesson Plan
Curated OER

Reflections of a Linear Function

For Teachers 9th - 12th
Learners reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions using the website www.explorelearning.com.
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Worksheet
Curated OER

Quadratic and Linear Functions

For Students 11th
In this Algebra II activity, 11th graders review and apply the basic concepts for solving linear and quadratic equation. The one page activity contains twelve problems. Solutions are not provided. 
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Lesson Plan
Curated OER

Graphing and Interpreting Linear Equations in Two Variables

For Teachers 7th - 9th
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
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Lesson Plan
EngageNY

Linear and Exponential Models—Comparing Growth Rates

For Students 9th - 10th Standards
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
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Lesson Plan
EngageNY

Modeling Linear Relationships

For Teachers 8th Standards
Math modeling is made easy with the first installment of a 16-part module that teaches pupils to model real-world situations as linear relationships. They create graphs, tables of values, and equations given verbal descriptions.

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