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MARS - Mathematics Assessment Resource Service

Applying Properties of Exponents

For Teachers 7th - 9th Standards
The properties of exponents are all linked together and it is your mathematicians' job to discover and apply those rules. The comprehensive lesson begins with a pre-assessment task to check for prior knowledge and then goes into a...
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Lesson Plan
Odyssey of the Mind

Odyssey of the Mind Curriculum Activity: Made Up Math

For Teachers 6th - 8th
Is there a way to connect creative thinking, logical reasoning, mathematical understanding, and humor? You bet there is! Kids begin by creating creative math quizzes, which require creative thinking to solve. For example, 1+1=24, one...
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Illustrative Mathematics

Applying the Pythagorean Theorem in a Mathematical Context

For Teachers 7th - 9th Standards
Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that...
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Curated OER

Mathematical Treasure Hunt

For Teachers 3rd - 8th Standards
The hunt is on! Young mathematicians follow clues and complete a series of ten math puzzles as they try to crack Dr. Integer's code and find the location of his hidden treasure.
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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
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Curated OER

Sore Throats, Variation 1

For Teachers 6th - 8th Standards
Why does Nia's water taste saltier than Trey's if she put more into her cup than he did? Math masters set up proportions in order to compare the mixtures. This task effectively has learners apply the concepts of ratio and proportion to a...
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Lesson Plan
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Curated OER

Two Triangles' Area

For Teachers 7th - 9th Standards
Need an activity for teaching the Pythagorean Theorem? Geometry juniors apply the Pythagorean theorem to two triangles to determine a final calculation. 
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Lesson Plan
Illustrative Mathematics

Running on the Football Field

For Teachers 7th - 9th Standards
Make your class into Pythagorean theorem fanatics in no time. What a great resource to get your sports enthusiasts into the math game! Read the commentary so you can you can strategize how to apply the three math practices.
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Lesson Plan
Curated OER

Triangle Congruence with Coordinate

For Teachers 7th - 9th Standards
Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.
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Activity
101 Questions

Styrofoam Cups

For Teachers 8th - 12th Standards
How many cups does it take to reach the top? Learners attempt to answer this through a series of questions. They collect dimension information and apply it to creating a function. The lesson encourages various solution methods and...
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Activity
US Department of Commerce

Applying Correlation Coefficients - Educational Attainment and Unemployment

For Teachers 9th - 12th Standards
Correlate education with unemployment rates. Individuals compare state and regional unemployment rates with education levels by calculating the correlation coefficient and analyzing scatter plots. Pupils begin by looking at regional data...
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Lesson Plan
Illustrative Mathematics

Sore Throats, Variation 2

For Teachers 6th - 8th Standards
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
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Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
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Lesson Plan
Curated OER

The Circumference of a Circle and the Area of the Region it Encloses

For Teachers 6th - 8th Standards
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for...
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Activity
101 Questions

Falling Rocks

For Students 9th - 12th Standards
Can you determine how far down a rock drops without visual clues? Viewers observe a clip from a movie testing vertical distance only based on sound. They must determine if it is safe to drop down themselves or if it is farther than their...
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Lesson Plan
Illustrative Mathematics

Extending the Definitions of Exponents, Variation 1

For Teachers 7th - 9th Standards
Scientist work with negative integer exponents all the time. Here, participants will learn how to relate negative exponents to time and to generate equivalent numerical expressions. Learners will apply the properties of integer exponents...
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Exploratorium

Handy Measuring Ratio

For Teachers 4th - 8th Standards
Your hand can be a handy tool for measurement. Young mathematicians learn how to estimate the height of objects by applying similarity. They find the horizontal distance from the object where spreading their outstretched fingers results...
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Curated OER

Middle Ages Cross Curriculum Project

For Teachers 6th - 8th
Middle schoolers complete several projects on the Middle Ages. In this world history lesson, students complete language arts, social studies, math, and science projects. Some of these include: comparing a teenager's life now to that in...
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Lesson Plan
Illustrative Mathematics

Placing a Square Root on the Number Line

For Teachers 7th - 9th Standards
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
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Illustrative Mathematics

Coupon Versus Discount

For Teachers 7th - 9th Standards
All too often stores give coupons for an item, but when you go into buy it, the item is on discount.  The store won’t take the coupon if the discount is used. So what do you do, use the coupon or take the discount? This activity helps...
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Lesson Plan
Illustrative Mathematics

How Many Cells Are in the Human Body?

For Teachers 9th - 11th Standards
Investigating the large numbers of science is the task in a simple but deep activity. Given a one-sentence problem set-up and some basic assumptions, the class sets off on an open-ended investigation that really gives some context to all...
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Lesson Plan
Illustrative Mathematics

Regular Tessellations of the Plane

For Teachers 9th - 11th Standards
Bringing together the young artists and the young organizers in your class, this lesson plan takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack...
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Activity
101 Questions

Two Lane Road

For Students 8th - 12th Standards
Two vehicles move at a constant rate of speed toward each other, but when exactly will they pass? Pupils use still images from a video to determine the rate of speed and when the two cars meet. Then, they watch the complete video to...
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Activity
101 Questions

Combining Coupons

For Teachers 6th - 8th Standards
Everyone likes to save money! Use your math skills to figure out just how much you can save on a pair of sweet shoes. A vendor is running a percent off sale, with a percent off coupon, and a specific dollar amount coupon—and lets you use...

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