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Lesson Plan
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Illustrative Mathematics

Equal Area Triangles on the Same Base II

For Teachers 9th - 12th Standards
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
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Lesson Plan
Illustrative Mathematics

Overlapping Squares

For Teachers 5th - 7th Standards
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
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Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the lesson plan focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can...
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Activity
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Illustrative Mathematics

Computations with Complex Numbers

For Teachers 9th - 12th Standards
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that learners...
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Activity
Illustrative Mathematics

Satellite

For Teachers 9th - 11th Standards
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and stations....
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Lesson Plan
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Illustrative Mathematics

Running Around a Track I

For Teachers 7th - 11th Standards
The accuracy required by the design and measurement of an Olympic running track will surprise track stars and couch potatoes alike. Given a short introduction, the class then scaffolds into a detailed analysis of the exact nature of the...
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Activity
101 Questions

Water Tank Filling

For Teachers 9th - 12th Standards
Grab your classes' attention with a video presentation of a problem to solve. Young scholars develop a plan to predict the time it takes to fill a tank with water. Video footage provides the statistics they need to make their conclusions.
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Activity
5280 Math

Triangle Area Patterns

For Teachers 8th - 10th Standards
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that helps...
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Activity
5280 Math

Step by Step

For Teachers 9th - 12th Standards
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
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Activity
5280 Math

Go with the Flow

For Teachers 8th - 12th Standards
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
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Lesson Plan
Illustrative Mathematics

Factors and Common Factors

For Teachers 5th - 7th Standards
This is an exercise in finding the greatest common factor of two whole numbers. Use in direct instruction or as part of your guided practice. Make up additional problems for home work. It also can be used as a mini-assessment or test...
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Lesson Plan
National Museum of Nuclear Science & History

Alphas, Betas and Gammas Oh, My!

For Teachers 8th - 12th
Referring to the periodic table of elements, nuclear physics learners determine the resulting elements of alpha and beta decay. Answers are given in atomic notation, showing the atomic symbol, mass, atomic number, and emission particles....

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