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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
Getting to Know

Shape and Form in Art

For Teachers K - 4th
Introduce youngsters to the important role shape and form play in art with this extensive collection of activities and projects. From teaching first graders how to create mandalas to engaging third and fourth graders in the design...
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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....
Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Quadrilaterals

For Teachers 3rd - 5th Standards
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
Lesson Plan
Curated OER

Tile Patterns I: Octagons and Squares

For Teachers 7th - 9th Standards
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
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Exploratorium

The Four-Square Quilt

For Teachers K - 2nd
Youngsters recognize that triangles can be combined together to make various shapes. The learning activity provides a series of seven steps that engage children in applying transformations to triangles. Pupils use a quilt template and...
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Noyce Foundation

Tri-Triangles

For Students K - 12th Standards
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
Lesson Plan
Curated OER

Tile Patterns II: Hexagons

For Teachers 7th - 9th Standards
After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...
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Mr. Printables

Back to School Pencil Favor Boxes

For Teachers Pre-K - 6th
Check out these charming back-to-school pencil and eraser boxes and create your own using the templates provided in this resource.
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Curated OER

Solidly Platonic

For Teachers 9th - 12th Standards
When they do, they learn. Using this resource, young mathematicians learn about platonic solids by actually building, touching, and examining the shapes. They connect their observations about the shapes to Euler's formula.
Lesson Plan
Illustrative Mathematics

Grandfather Tang's Story

For Teachers K - 2nd Standards
It's amazing the complex figures that can be made using only a few simple shapes. Following a class reading of the children's book Grandfather Tang's Story by Ann Tompert, young mathematicians use sets of tangrams to create models...
Lesson Plan
John Lentine

Butterflies and Bugs

For Teachers 2nd
Symmetry, line, shape, art, and math are all connected through a fun hands-on craft. Included are instructions to a classic activity, where learners create butterflies to show symmetry in nature and then discuss symmetry in math. It is...
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Denton Independent School District

Pieces to the Puzzle Fraction Project

For Teachers 4th - 6th Standards
Four polygons each have a fraction with unlike denominators printed on them. Creative math minds select several shapes to create a design with and then write and solve a math problem involving the addition of all of the fractions...
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Teach Engineering

Straw Bridges

For Teachers 6th - 8th
Pairs work as engineering teams to design and build model bridges from drinking straws and tape. In this third segment in a series of 10, teams compete in an attempt to build the strongest bridge. To help with the design, the groups...
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Gatton Park

Magical Maths

For Teachers 1st - 4th Standards
A variety of activities take scholars outside the classroom to explore shapes, symmetry, measurement, patterns, sorting, and time in nature. Learners participate individually, and in teams, to measure found objects, go on a...
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5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
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Exploratorium

Vocal Visualizer

For Teachers 6th - 12th
Make sound visible with an activity that provides directions for how to build a vocal visualizer meant to create light patterns. Making noise into the visualizer causes a mirror to vibrate, reflecting a laser beam, and creating...
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DiscoverE

Dome Home

For Teachers 3rd - 8th
Homes come in many different shapes and sizes. Building a model of a geodesic dome is the ultimate goal for the activity. Cutting and folding is the way to go here.
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Noyce Foundation

Piece it Together

For Students K - 12th Standards
Score some problems all related to soccer balls. The first few problems focus on pattern blocks to see relationships between figures. More advanced problems focus on actual soccer balls, the patterns on the balls, and their volumes and...
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Kelly's Kindergarten

August Daily Activities

For Students K - 2nd Standards
You'll feel more than prepared for the start of the school year with this collection of daily activities for the month of August! From filling in numbers on a calendar or coloring patterns to solving addition and reading...
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Metropolitan Museum of Art

Islamic Art and Geometric Design

For Teachers 7th - 12th
After an overview of Islamic traditions and art, young artists create their own geometric shapes and patterns using only a straightedge and a compass.
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New South Wales Department of Education

Plant Features

For Students 6th - 8th Standards
Pine needles are actually modified leaves. In the 16th installment of 20, young scientists explore plants. Through an analysis of leaves — shape, veins, and edges — pupils see how to classify plants based on structural features.
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Illustrative Mathematics

Triangular Tables

For Teachers 5th - 7th Standards
Somewhat of a puzzle, this problem gets pre-algebra preteens to write an expression representing a seating chart using triangle-shaped tables. This single task is an applicable lesson for meeting sixth grade Common Core math standards....
Lesson Plan
Illustrative Mathematics

Eight Circles

For Teachers 6th - 9th Standards
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...

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