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Lesson Plan
Illustrative Mathematics

Painting a Barn

For Teachers 5th - 7th Standards
When painting a barn you have to calculate surface area, and that is exactly what this resource is about. Not only will your future home owners calculate the surface area, but also the cost. It is a real-life problem that every that...
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Lesson Plan
Illustrative Mathematics

Same Base and Height, Variation 2

For Teachers 5th - 7th Standards
This is a good model for learners to visualize triangles of the same base and height. They can can begin to comprehend that these triangles will have the same area no matter how the triangle is drawn. It is part of a series of resources...
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Lesson Plan
Illustrative Mathematics

Adding Multiples

For Teachers 6th - 7th Standards
Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram....
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Lesson Plan
Illustrative Mathematics

Bake Sale

For Teachers 5th - 7th Standards
Put math into action with the real-life scenario of a bake sale. The participants at this bake sale are ready to divide their fresh-baked cookies into bags. It is up to your number crunchers to help decide how many cookies should go in...
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Lesson Plan
Illustrative Mathematics

Cup of Rice

For Teachers 6th - 7th Standards
Dividing with fractions is not a favorite task, so provide your learners with a visual understanding. The activity breaks a simple division problem into something they can comprehend. Use this method for future problems with fractions. 
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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

The Price of Bread

For Teachers 6th - 8th Standards
As part of an initiative to strengthen our young adults' financial understanding, this problem explores the cost of bread and minimum wage since the 1930s. Learners are asked to find the percent increase from each year and compare it...
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Lesson Plan
Illustrative Mathematics

Bookstore Account

For Teachers 6th - 8th Standards
We use debt often to describe negative numbers and your learners will be able to see how it translates into math. They will be asked to go through a series of transactions and make simple equations for each one, following it with a...
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Lesson Plan
Illustrative Mathematics

Comparing Freezing Points

For Teachers 6th - 7th Standards
Subtracting negative numbers can be confusing to your middle schoolers. Here, they are able to draw a number line and put their answer in sentence form to check their understanding of negative numbers. 
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Lesson Plan
Illustrative Mathematics

Chess Club

For Teachers 6th - 8th Standards
When the membership in a chess club changes, it is your mathematicians' job to find out how many boys and girls are attending and the percent change from last year. The activity provides a great compound problem finding the different...
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Lesson Plan
Illustrative Mathematics

Comparing Years

For Teachers 6th - 7th Standards
Who knew that the Egyptian, Julian, and Gregorian year were different lengths? Your mathematicians will! They will have to calculate the difference between the years in seconds and find the percent change. Using dimensional analysis,...
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Lesson Plan
Illustrative Mathematics

Selling Computers

For Teachers 6th - 8th Standards
A quick activity to test your learners' knowledge of percent increase. When an electronic store needs a 30% increase in computer sales, your mathematicians must calculate how many computers they need to sell next month.
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Lesson Plan
Illustrative Mathematics

Eight Circles

For Teachers 6th - 9th Standards
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...
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Lesson Plan
Illustrative Mathematics

Shrinking

For Teachers 6th - 8th Standards
Is Aunt Nancy shrinking? Find out by calculating with the average height women lose each year. The activity practices multiplying and dividing with decimals and rounding the final answer.
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Lesson Plan
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Illustrative Mathematics

Puzzle Times

For Teachers 6th - 7th Standards
Give your mathematicians this set of data and have them create a dot plot, then find mean and median. They are asked to question the values of the mean and median and decide why they are not equal. Have learners write their answers or...
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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

Security Camera

For Teachers 6th - 8th Standards
A different-than-normal problem that allows learners to practice their reasoning to find an answer. The problem bases itself off a graph drawing of a store that needs to install security cameras. The challenge is to find which placement...
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Lesson Plan
Illustrative Mathematics

Shirt Sale

For Teachers 6th - 7th Standards
Everyone loves a good deal, and your mathematician's job is to calculate the original price when given the discount. A different type of problem than the traditional "find the percent change" has your learners working backwards to...
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Lesson Plan
Illustrative Mathematics

Making Hot Cocoa, Variation 1

For Teachers 6th - 7th Standards
Dividing with fractions can be a confusing task to some, but the activity illustrates how to make groups out of the problem and look at it visually. Use this problem with the activity in the Additional Materials section to practice this...
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Lesson Plan
Illustrative Mathematics

Making Hot Cocoa, Variation 2

For Teachers 6th - 7th Standards
Learners are introduced to dividing by fractions in a visual way. Setting up groups from the information in the problem allows them to see what we divide and why. Use with the previous lesson, which can be found in Additional Materials,...
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Lesson Plan
Illustrative Mathematics

Jayden’s Snacks

For Teachers 6th - 7th Standards
A quick activity to test the knowledge of your learners on adding and subtracting with decimals. They must calculate how much Jayden spent at the store and how much money he has remaining.  
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Lesson Plan
Illustrative Mathematics

Computing Volume Progression 2

For Teachers 5th - 7th Standards
Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change. 
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Lesson Plan
Illustrative Mathematics

Electoral College

For Teachers 6th - 7th Standards
A cross-curricular resource that takes the electoral votes and allows your learners to organize and analyze the data. Young voters can determine which states are more influential and interpret the dotplot provided for more data....
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Lesson Plan
Illustrative Mathematics

Molly's Run, Assessment Variation

For Teachers 6th - 8th Standards
Part of as assessment series, the activity follows the lesson Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how the standards...