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Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
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Lesson Plan
Virginia Department of Education

Equation Vocabulary

For Teachers 6th Standards
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.
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Lesson Plan
West Contra Costa Unified School District

Point-Slope Application Problems

For Teachers 8th - 10th Standards
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
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Lesson Plan
Illustrative Mathematics

Fixing the Furnace

For Teachers 7th - 9th Standards
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
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Lesson Plan
Illustrative Mathematics

Chocolate Bar Sales

For Teachers 5th - 7th Standards
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
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Assessment
Mathematics Assessment Project

Expressions and Equations

For Students 7th - 8th Standards
Express your wonder at this resource. Middle schoolers solve 10 short problems in the expressions and equations domain. They apply operations with scientific notation, set up and solve equations, and analyze linear equations.
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Lesson Plan
Illustrative Mathematics

Two Lines

For Teachers 7th - 9th Standards
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
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Assessment
Noyce Foundation

Toy Trains

For Teachers 6th - 7th Standards
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish by developing an algebraic...
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Assessment
Charleston School District

Review Unit 6: Systems of Equations

For Students 8th - 9th Standards
It's time to show off what they learned! The final lesson in the series is a review activity on the topics learned throughout the unit. Scholars solve systems of equations using graphic and algebraic methods, solve system-based word...
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Assessment
Concord Consortium

Function Project

For Students 8th - 10th Standards
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
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Lesson Plan
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Curated OER

Linear and Quadratic System

For Teachers 9th - 12th Standards
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
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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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Lesson Plan
Illustrative Mathematics

Sammy's Chipmunk and Squirrel Observations

For Teachers 7th - 9th Standards
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns.  Scholars could find the answer algebraically or create a table to analyze the problem in...
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Assessment
Curated OER

Expressing Geometric Properties with Equations

For Students 9th - 11th Standards
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 
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Lesson Plan
EngageNY

Linear and Nonlinear Expressions in x

For Teachers 8th Standards
Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...
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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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Lesson Plan
Illustrative Mathematics

Paying the Rent

For Teachers 8th - 12th Standards
Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...
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Assessment
Inside Mathematics

Printing Tickets

For Teachers 9th - 12th Standards
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 4

For Students 8th Standards
Determine what the class knows about linear equations. The three-question mid-module assessment is segment 15 in a 33-part series. The assessment includes writing and solving one-variable linear equations and graphing proportional...
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Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Module 4

For Students 8th Standards
Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear equations. To...
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Lesson Plan
EngageNY

A Critical Look at Proportional Relationships

For Teachers 8th Standards
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
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Lesson Plan
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Curated OER

Accurately Weighing Pennies II

For Teachers 9th - 12th Standards
Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.
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Lesson Plan
1
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Curated OER

Equal Differences Over Equal Intervals 2

For Teachers 9th - 12th Standards
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and y-intercept...
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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 5)

For Teachers 9th - 10th Standards
This unit assessment covers the modeling process with linear, quadratic, exponential, and absolute value functions. The modeling is represented as verbal descriptions, tables, graphs, and algebraic expressions. 

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