Activity
Curated OER

Unit Squares and Triangles

For Teachers 9th - 11th Standards
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
Lesson Plan
Illustrative Mathematics

Counting Squares

For Teachers K - 2nd Standards
Challenge young mathematicians' understanding of squares with this geometry puzzle. The task is simple, identify as many squares as possible in a 3x3 array. Allow learners to work independently or in pairs as they search for squares,...
Lesson Plan
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Curated OER

Reflecting a Rectangle Over a Diagonal

For Teachers 7th - 9th Standards
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
Lesson Plan
Curated OER

The Square Counting Shortcut

For Teachers 2nd - 4th Standards
An excellent activity that encourages learners to discover how complex figures can be broken into simpler shapes when measuring area. Working with block letters, learners are given the freedom to develop their own strategies for...
Lesson Plan
Curated OER

Shapes and Their Insides

For Teachers 2nd - 4th Standards
Learners follow a series of instructions for drawing and coloring different shapes in order to learn the difference between the perimeter and area of a polygon. Then they are asked to find the perimeter and area of a 3x4 rectangular...
Lesson Plan
Illustrative Mathematics

All vs. Only Some

For Teachers Pre-K - 2nd Standards
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
Lesson Plan
Illustrative Mathematics

Alike or Different Game

For Teachers K Standards
How are a circle and triangle alike? How are they different? These are the types of questions children will answer while playing this fun geometry game. Including a variety of conventional and unconventional shapes, this activity allows...
Lesson Plan
Illustrative Mathematics

Same Base and Height, Variation 2

For Teachers 5th - 7th Standards
This is a good model for learners to visualize triangles of the same base and height. They can can begin to comprehend that these triangles will have the same area no matter how the triangle is drawn. It is part of a series of resources...
Activity
Noyce Foundation

Poly-Gone

For Students K - 12th Standards
Investigate polygons from rectangles to triangles to octagons. Each level of the five-problem series targets a different grade level. Beginning with the level A problem, learners examine the relationship between area and perimeter by...
Lesson Plan
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Curated OER

Halves, Thirds, and Sixths

For Teachers 2nd - 4th Standards
An excellent activity that effectively pulls together the concepts of area, fractions, and equivalent fractions! Using 3x2 rectangular arrays, 3rd graders are introduced to the concept of area in terms of square units. Building on this...
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,...
Lesson Plan
Chandler Unified School District

Art Masterpiece—Leonardo da Vinci Inventions

For Teachers 6th
After getting to know the inventor, Leonardo da Vinci and his many inventions, scholars think up their own invention. Following a written description and a hand-drawn picture, learners use a method of mirror writing and antiquing to give...
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....
Lesson Plan
Illustrative Mathematics

Converting Square Units

For Teachers 5th - 7th Standards
Jada has a rectangle board that is measured in inches. Young learners confirm their understanding of converting inches to feet. Then they find the area in square feet. Jada thinks she has a short-cut to convert inches square to square...
Lesson Plan
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Illustrative Mathematics

What Shape Am I?

For Teachers 3rd - 5th Standards
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
Lesson Plan
1
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Illustrative Mathematics

Shape Sequence Search

For Teachers Pre-K - 1st Standards
Learning that size and orientation don't affect the classification of shapes is a big step for young mathematicians. Support children with developing this key understanding by looking at the array of shapes included in this resource. For...
Activity
Curated OER

Finding the Area of Polygons

For Teachers 3rd Standards
Third graders are exposed to finding the area of polygons by decomposing figures and recomposing them into rectangles. This strategy allows children to expand on their prior knowledge of constructing shapes by rearranging parts into...
Activity
Exploratorium

Tired Weight

For Teachers 6th - 12th Standards
You don't need a scale to determine weight. This activity provides a way to use the concepts of air pressure and surface area to determine the weight of a vehicle by calculating the amount of weight each tire supports.
Lesson Plan
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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...
Activity
Illustrative Mathematics

Same Base and Height, Variation 1

For Teachers 5th - 7th Standards
Four triangles are depicted for learners to construct on a geoboard. They compute and compare the areas, and so meet one of the sixth grade Common Core standards for geometry. Note that the set of triangles does not include a right...
Activity
Computer Science Unplugged

Ice Roads–Steiner Trees

For Teachers 4th - 12th
As an introduction to Steiner Trees, class members are challenged to find the shortest paths to connect multiple points. The teacher introduces the problem by showing how to connect three points. Groups then go outside and construct a...
Activity
DiscoverE

Waterproofing the Roof

For Teachers 3rd - 8th Standards
Can your pupils build a roof that stands the test of time? Use an insightful engineering design project to highlight both materials science and architecture. Scholars either team up or work as individuals to design, create, and test a...
Activity
West Contra Costa Unified School District

Division (No Remainders)

For Teachers 4th - 7th Standards
Help young mathematicians build a solid understanding of division with this base ten block activity. With the help of these popular math manipulatives, children model different math problems in order to reinforce the...
Activity
Curated OER

Name That Shape

For Teachers K Standards
It can be so much fun to learn about new shapes! Kindergartners are shown a series of different shapes; each one is a different color, size, or orientation. They look at the shapes and discuss that no matter their color or size, a square...

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