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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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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...
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Illustrative Mathematics

Eratosthenes and the Circumference of the Earth

For Teachers 9th - 12th Standards
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
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Teach Engineering

Stay in Shape

For Teachers 7th - 9th Standards
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
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Lesson Plan
Illustrative Mathematics

How Thick Is a Soda Can I?

For Teachers 9th - 11th Standards
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
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Curated OER

Shape Witch

For Teachers 6th
Student make a witch using geometric shapes. Students practice the skills of cutting and pasting two or more shapes together. Students name triangle, rectangle, square and circle and match to corresponding shape.
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Curated OER

Math Challenges

For Teachers 8th - 10th
Students engage their critical thinking skills to solve challenging math problems. In these problem solving lessons, student work with tessellations, weights/measurement, reasoning, surface area, geometric shapes, and algebraic procedures.
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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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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 alphabet and...
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Lesson Plan
Chandler Unified School District

Art Masterpiece: Leonardo’s Inventions—Leonardo da Vinci

For Teachers 6th
Leonardo da Vinci is the focus of a hands-on activity that encourages scholars to become inventors. Pupils brainstorm and sketch their idea, compose a detailed depiction using a mirror writing technique, and antique the paper for a...
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Activity
Curated OER

Math Challenges

For Teachers 7th - 9th
Students participate in a series of challenging math lessons designed to engage their critical thinking skills. In these real-world problem solving lessons, student solve symmetry and repeated pattern problems, make lists/tables to...
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Curated OER

Task: Grain Storage

For Teachers 7th - 10th Standards
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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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....
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Lesson Plan
Curated OER

Kandinsky Cut Circles

For Teachers K - 2nd
Kandinsky definitely knows how to use the concept of shape in art. Kids get motivated to create artworks inspired by the amazing circle. They cut out several circles and glue them in concentric patterns on their paper. Tip: The book The...
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Illustrative Mathematics

Use Cavalieri’s Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required.  From calculating the volume of a composite shape through the abstract...
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Teach Engineering

What a Drag!

For Teachers 5th - 7th Standards
Stop and drop what is in your hand! Pupils investigate how form effects drag in the 12th part of a 22-part unit on aviation. Groups create equally weighted objects and determine which one falls the fastest by collecting data.
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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...
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Lesson Plan
Curated OER

Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
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Teach Engineering

Connect the Dots: Isometric Drawing and Coded Plans

For Students 6th - 12th Standards
Individuals discover how to draw cubes on triangle-dot paper. They use cubes to build structures and draw corresponding isometric drawings on dot paper in the second lesson of the series of five. The activity also introduces the concept...
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Teach Engineering

New Perspectives: Two-Axis Rotation

For Students 6th - 12th Standards
Two-axis rotations ... twice the fun as one-axis rotations! The last installment of a five-part module teaches scholars how to conduct two-axis rotations. They create isometric drawings before and after the rotations.
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Teach Engineering

Build the Biggest Box

For Students 8th - 10th Standards
Boxing takes on a whole new meaning! The second installment of the three-part series has groups create lidless boxes from construction paper that can hold the most rice. After testing out their constructions, they build a new box....
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Illustrative Mathematics

Toilet Roll

For Teachers 9th - 11th Standards
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a common...
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Lesson Plan
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Illustrative Mathematics

Placing a Fire Hydrant

For Teachers 9th - 10th Standards
Triangle centers and the segments that create them easily become an exercise in memorization, without the help of engaging applications like this lesson. Here the class investigates the measure of center that is equidistant to the three...

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