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Unit Plan
Mathematics Vision Project

Module 2: Linear and Exponential Functions

For Students 8th - 10th Standards
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
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Lesson Plan
1
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Wordpress

Introduction to Exponential Functions

For Teachers 8th - 10th Standards
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...
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Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
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Assessment
Mathematics Assessment Project

Sorting Functions

For Students 9th - 11th Standards
There's no sorting hat here. A high school assessment task prompts learners to analyze different types of functions. They investigate graphs, equations, tables, and verbal rules for four different functions.
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Lesson Plan
K20 LEARN

Didn’t We Already Learn That Pattern? Functions/Arithmetic Sequences

For Teachers 9th Standards
Just how many toothpicks does the pattern take? After watching a video of someone building a pattern with toothpicks, groups create methods to find the number of toothpicks needed to accomplish that task. Groups either use explicit...
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Lesson Plan
West Contra Costa Unified School District

Evaluating Functions Graphically and Algebraically

For Teachers 8th - 10th Standards
High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.
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Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. For this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
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Activity
Mathematics Common Core Toolbox

Golf Balls in Water

For Teachers 8th - 11th Standards
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
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Assessment
Illustrative Mathematics

Households

For Students 9th - 12th Standards
Use an inverse linear function to interpolate a point. Presented with the number of households over a period of year, pupils find a linear function that will be a model. Class members determine the inverse of the linear function and use...
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Assessment
Illustrative Mathematics

Temperature in Degrees Fahrenheit and Celsius

For Students 9th - 12th Standards
Scholars develop the conversion formulas between Fahrenheit and Celsius with a task that presents the class with two known temperature equivalents between the two scales. Pupils use those two points to develop the linear conversion...
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Lesson Plan
EngageNY

The Inverse Relationship Between Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
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Interactive
CK-12 Foundation

Determining the Equation of a Line: Trip Functions

For Students 8th - 10th Standards
Let the function drive the activity. The interactive displays the odometer on a car for a trip. Pupils determine and interpret the slope of the situation. Then, they find a verbal description of the equation of the function.
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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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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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Lesson Plan
Mathematics Assessment Project

Comparing Lines and Linear Equations

For Teachers 8th Standards
Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...
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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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Lesson Plan
Curated OER

Linear Functions

For Teachers 8th - 10th
Students solve and graph linear equations. In 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

Iterating Linear Functions

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

Linear Programming

For Students 10th - 12th
In this linear programming worksheet, students solve and complete 6 different word problems related to programming. First, they define the variables in each problem and write a system of inequalities. Then, students graph the...
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Lesson Plan
Curated OER

Real-World Linear Programming

For Teachers 9th - 12th Standards
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...
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Unit Plan
Intel

Choreographing Math

For Students 8th - 12th Standards
Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...
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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
Curated OER

Using Tables to Solve Linear Functions

For Teachers 9th - 12th Standards
Oh that intercept! Budding algebra masters solve linear equations from standard to intercept form. They identify the slope and y-intercept to help graph the lines, an then create coordinate pairs using a table of values. Great TI tips...