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Illustrative Mathematics

The Geometry of Letters

For Teachers 3rd - 5th Standards
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
Lesson Plan
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Illustrative Mathematics

3-D Shape Sort

For Teachers K - 2nd Standards
From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...
Activity
Curated OER

Geometric Pictures of One Half

For Teachers 3rd Standards
A learning task that involves creative ways of thinking permits children to use paper models as a way to visualize the fraction one-half. Learners can fold or cut their models in such a way that the unshaded regions, and shaded...
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Teach Engineering

Let's Take a Spin: One-Axis Rotation

For Students 6th - 12th Standards
Investigate the effect of one-axis rotations on geometric figures. Scholars learn to use snap cubes and the right-hand rule to draw figures after rotations about the x-, y-, or z-axes. They try their hands at examples created by the...
Activity
Education Development Center

Proof with Parallelogram Vertices

For Teachers 8th - 10th Standards
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
Lesson Plan
Illustrative Mathematics

Finding the Line of Symmetry

For Teachers 3rd - 5th Standards
Can you find the line of symmetry? That's what your students will demonstrate by completing this worksheet. The task gets increasingly difficult as shapes are included that have one line of symmetry, no lines of symmetry, and multiple...
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Curated OER

Seeing Dots

For Teachers 9th - 12th Standards
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
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Curated OER

A Lifetime of Savings

For Teachers 9th - 12th Standards
Sometimes people who seem to lead what would be considered an ordinary life do extraordinary things. Such was the case with Oseola McCarty, who donated a large sum of money for a university scholarship fund in her name. Oseala lived her...
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Illustrative Mathematics

Shape Hunt Part 2

For Teachers Pre-K - 1st Standards
Shapes are everywhere in the world around us, from rectangular doors to the circular wheels of a car. The second lesson in this series opens the eyes of young mathematicians to this wonderful world of shapes as they search the classroom,...
Activity
K-5 Math Teaching Resources

Tangram Cutout

For Students K - 5th Standards
Challenge the spatial thinking of your young mathematicians with this printable tangram puzzle. Using different sized triangles, squares, and parallelograms, children must figure out how to fit all the shapes together to create a square.
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Teach Engineering

Seeing All Sides: Orthographic Drawing

For Students 6th - 12th Standards
How can your draw three-dimensional figures on paper? The lesson shows pupils how to draw orthographic projections of three-dimensional figures composed of cubes. After viewing a PowerPoint presentation, they practice this skill with...
Lesson Plan
Curated OER

Glasses

For Teachers 7th - 9th Standards
Provide your class some practice with the dimensions of geometric figures. Here you have a set of three different-shaped, stemmed drinking glasses with diameters and heights provided. Math-minded individuals calculate the volume of each....
Activity
PBS

Using Symmetry to Create Corporate Logos

For Teachers 4th - 8th Standards
Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the...
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Curated OER

Geometry Project

For Students 9th - 12th Standards
Proofs are usually an intimidating assignment. An engaging lesson focused on geometric proofs may reduce the anxiety! Pupils choose between several triangle proofs to complete and work on completing them. The...
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...
Activity
Beauty and Joy of Computing

Building Your Own Blocks

For Teachers 8th - 12th
Isn't building with blocks an activity for toddlers? The third lab of a five-part unit teaches young computer scientists how to create their own block instructions for programming. They use these blocks to create geometric figures, spell...
Activity
Beauty and Joy of Computing

Sprite Drawing and Interaction

For Students 8th - 12th
Discover how to program objects to move on a screen. In the second lab of a five-part unit, each learner uses block instructions to program a sprite to follow their mouse (cursor). They investigate how to use these same block...
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Illustrative Mathematics

Global Positioning System II

For Teachers 9th - 12th Standards
Intricate details of a modern technology that many of us take for granted in our phones, computers (and some cars) are laid bare in a short but deeply investigative activity. The math behind a seemingly simple GPS device...
Activity
Illustrative Mathematics

Slopes and Circles

For Teachers 9th - 12th Standards
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
Activity
Mrs. Burke's Math Page

The Amazing Pi Race

For Teachers 7th - 12th Standards
Add a sense of excitement to your math class with this race across the country. Using their knowledge of all things circular, young mathematicians work in pairs answering a series of pi-related word problems as they hop from one city to...
Activity
101 Questions

Wedding Cake Ribbon

For Students 3rd - 8th Standards
Customers often want ribbon around fancy cakes, but how does a baker know how much ribbon to buy? Scholars view a cake with multiple layers in different geometric shapes. They must figure the perimeter and circumference and add them...
Activity
Curated OER

Task: Miniature Golf

For Teachers 6th - 10th Standards
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
Activity
Illustrative Mathematics

Paper Clip

For Teachers 9th - 11th Standards
With minimal setup and maximum freedom, young geometers are encouraged to think outside the box on a seemingly simple application problem. Though the task seems simple, measuring a given paper clip and finding how many 10 meters can...
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Mrs. Burgess

End of the Year Geometry Projects

For Teachers 8th - 10th Standards
Geometry students will be ecstatic about these engaging and enlightening end-of-the-year projects! Types of project ideas include interviewing a geometer, an ABCs of geometry poster, an engineering lab report, and origami work. 

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