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Lesson Plan
Illustrative Mathematics

The Escalator, Assessment Variation

For Teachers 5th - 7th Standards
A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...
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Lesson Plan
Illustrative Mathematics

Riding at a Constant Speed, Assessment Variation

For Teachers 5th - 7th Standards
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
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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...
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Lesson Plan
Curated OER

Find 1

For Teachers 3rd - 5th Standards
Extend your class's ability to represent unit fractions on a number line with this challenging worksheet. Given two number lines, one labeled with zero and 1/4, the other with zero and 5/3, students must accurately locate the number one...
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Activity
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Illustrative Mathematics

Kimi and Jordan

For Teachers 7th - 9th Standards
A single activity gets your math class to solve a word problem using two linear equations and two variables. They compare the summer earnings of Kimi and Jordan and then graph the solutions to determine who will save the most money in a...
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Activity
Illustrative Mathematics

Running a Mile

For Teachers 4th - 6th Standards
The single question in this activity has multiple ways to be solved. Two boys ran a mile. Their times were similar, except one time was a fraction of the other. Who ran faster? In demonstrating the answer to this problem, upper graders...
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Lesson Plan
Curated OER

Basketball

For Teachers 9th - 12th Standards
Tap into the competitive nature of teenagers as your class practices setting up and solving rational equations. This activity starts with a specific ratio of games won to games played, then asks how many more games must be played to...
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Activity
Science Friday

Make a Model of a Home Made From Shipping Containers

For Teachers 6th - 10th Standards
Build a scale model of a home built out of shipping containers. A hands-on activity has scholars watch a video about a home built from shipping containers and then design their own home. They build scale models of their designed homes...
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Lesson Plan
Illustrative Mathematics

Log Ride

For Teachers 5th - 7th Standards
The rides at a theme park always have limits on weight or number of riders. This makes a natural example of the use of inequalities to solve real-world problems. Learners explore intuitive solutions using substitution to solve the...
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Lesson Plan
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Illustrative Mathematics

The Missing Coefficient

For Teachers 10th - 12th Standards
This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...
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Lesson Plan
Illustrative Mathematics

Data Transfer

For Teachers 6th - 8th Standards
A question to ask your class is, How fast is your Internet? That depends on the data transfer rate (DTR), which is the unit rate used in this activity. Math young scholars will calculate how long it takes to download a music file and a...
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Lesson Plan
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Illustrative Mathematics

Egyptian Fractions II

For Teachers 8th - 12th Standards
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
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Lesson Plan
Illustrative Mathematics

Fishing Adventures 1

For Teachers 5th - 7th Standards
Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...
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Activity
Curated OER

Task: Range of Motion

For Teachers 7th - 10th Standards
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. For this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
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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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Activity
Curated OER

Narrow Corridor

For Teachers 8th - 12th Standards
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).
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Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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Activity
Illustrative Mathematics

Similar Circles

For Teachers 9th - 10th Standards
Young geometers flex their transformation muscles in this brief but powerful exercise using dilations and translations to develop the similarity of circles. The plan provides guidelines to help learners navigate a pair of deceptively...
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Activity
Howard County Schools

Discounting Tickets

For Teachers 9th - 11th Standards
A boss who can't do math? Oh, no! Young entrepreneurs use linear and exponential models to determine which discount will yield the most profit on ticket sales.
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Activity
Howard County Schools

Maria’s Quinceañera

For Teachers 9th - 11th Standards
How long will it take to save up for a car? Classmates use linear and exponential models to see how money received during a Quinceanera will grow over time.
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Lesson Plan
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University of Wisconsin

Sizing a Rain Garden

For Teachers 4th - 12th
Most appropriate if you are applying the entire unit to build a rain garden at your school, this installment involves calculating the area that will drain into it. Your garden planners will need data from previous lessons, so this one...
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Activity
Education Development Center

Finding Triangle Vertices

For Teachers 6th - 7th Standards
Where in the world (or at least in the coordinate plane) is the third vertex? Given two coordinate points for the vertices of a triangle, individuals find the location of the third vertex. They read an account of fictional...
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Activity
Education Development Center

Extending Patterns with Exponents

For Teachers 8th - 9th Standards
Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.
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Activity
101 Questions

World Record Balloon Dog

For Students 6th - 8th Standards
What is the world record for a dog popping 100 balloons? Viewers observe as a dog pops 25 balloons and must figure out how long it should take for the canine to pop the other 75. They discover the previous record and predict if this dog...