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Illustrative Mathematics

Modeling with a Linear Function

For Teachers 7th - 9th Standards
Here is a well-designed resource that provides five yes-or-no questions which model different situations with linear functions. It makes a good pre-test for the beginning of the unit. The purpose is to elicit common misconceptions of...
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Curated OER

Exponential Growth Versus Linear Growth I

For Teachers 9th - 12th Standards
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
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Lesson Plan
Illustrative Mathematics

Seven Circles III

For Teachers 9th - 11th Standards
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
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Lesson Plan
Pennsylvania Department of Education

Build What I've Created

For Teachers 3rd - 5th
n this geometric lesson, students define and identify two dimensional shapes based on their attributes. They complete worksheets based on the geometric concepts.
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Lesson Plan
Curated OER

Value that Number

For Teachers 1st - 3rd
Learners complete a variety of activities to gain an understanding of the place values for ones, tens, and hundreds. They should place sets of numbers in order from least to greatest and from greatest to least.
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Lesson Plan
Curated OER

Developing Strategies for Addition and Subtraction

For Teachers 2nd - 4th
Primary graders develop strategies to assist them with addition and subtraction. They discover number combinations and numerical facts which enable them to add and subtract more effectively. Students use these techniques to complete...
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Curated OER

Mixing Candies

For Teachers 8th - 10th Standards
Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...
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Curated OER

Accurately Weighing Pennies I

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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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
Curated OER

History of Toys and Games

For Teachers 3rd - 12th
Students research history of popular toys to learn when those toys were first introduced. They use measurement skills to create an accurate timeline.
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Lesson Plan
Curated OER

Book Club Order

For Teachers K - 3rd
Students complete a simulated book order form for their class. In this book club lesson, students budget and plan an order form for their fellow students, discussing why they chose specific books.
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Lesson Plan
Curated OER

Substitution "Plugging In"

For Teachers 8th - 10th
The old plug and chug method will help the class investigate functional notation. They explore the meaning of functional notation, f(x), and determine the functional value of given values. The lesson includes two application problems and...
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Lesson Plan
Houghton Mifflin Harcourt

Developing Formulas for Circles and Regular Polygons

For Teachers 6th - 10th Standards
Formulas and procedures for finding the area and circumference are not provided on this handout, so it will be best used as a practice of already-acquired skills. It is a well-rounded assignment, however, as it includes diagrams,...
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Lesson Plan
Illustrative Mathematics

Buying Gas

For Teachers Pre-K - 7th Standards
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...
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Lesson Plan
Illustrative Mathematics

Walk-a-thon 1

For Teachers 6th - 8th Standards
Your mathematician's job is to explore the relationship between hours and miles walked during a walk-a-thon. The activity compels your learners to experiment with different means in finding out this proportional relationship. The answer...
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Lesson Plan
Illustrative Mathematics

Walk-a-thon 2

For Teachers 6th - 9th Standards
During a walk-a-thon your learners must determine the walking rate of Julianna's progress. Using tables, graphs, and an equation, they must be able to calculate the time it took her to walk one mile and predict her distance based on the...
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Lesson Plan
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
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Lesson Plan
West Contra Costa Unified School District

Mixture Problems

For Teachers 8th - 10th
Mix up your lessons with the resource on mixture problems. Scholars use manipulatives to model and solve mixture problems. Individuals then set up both one- and two-variable equations to solve the problems.
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Lesson Plan
Curated OER

A Fraction of the Cost

For Teachers 3rd - 5th
Students use various coin denominations to explore the concept of fractions. They demonstrate an understanding of the fractions 1/2 ($.50), 1/4 ($.25), 10ths ($.10) and 20ths ($.05) by using fraction circle pieces to create whole units...
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Curated OER

Multiple Coin Combinations Lesson

For Teachers 2nd
Second graders identify different coin combinations that equal the same amount.
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Lesson Plan
Curated OER

Problem Solving: Steps and Strategies

For Teachers 6th - 8th
Young scholars explore the concept of problem solving strategies. For this problem solving strategies lesson, students discuss methods for solving problems such as re-reading a problem, stating the facts, drawing a picture and so on....
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Lesson Plan
Curated OER

Coin Drop

For Teachers 7th - 12th
Students calculate the theoretical and empirical probability by dropping coins on a grid. They record their data and compare the theoretical and empirical data. Students make predictions about the results before conducting the experiment.
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Lesson Plan
Curated OER

A Penny for Your Height

For Teachers 5th - 6th
Students investigate measurement.  In this fifth/sixth grade mathematics lesson, students explore the relationship between inches and centimeters.  Students measure their height in inches or centimeters and convert the measurement. 
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Lesson Plan
Curated OER

Using a Calculator

For Teachers 2nd - 3rd
Students use a calculator to solve math problems. In this calculator usage lesson, students get into pairs and familiarize themselves with the keys. Students are then given problems to solve using the calculator. Students do Smart Board...

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