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Illustrative Mathematics

Representing Half of a Circle

For Teachers 2nd - 4th Standards
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Lesson Plan
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Curated OER

Building a Quadratic Function Form

For Teachers 9th - 12th Standards
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
Lesson Plan
Curated OER

Symmetries of Rectangles

For Teachers 9th - 10th Standards
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
Lesson Plan
Willow Tree

Three-Dimensional Figures

For Students 8th - 11th Standards
Time to move into the third dimension! Learn the names of the geometric solids and count faces, edges, and vertices. Then learn to recognize nets that create a given solid. 
Workbook
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University of Utah

Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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...
Assessment
Concord Consortium

In a Triangle

For Students 9th - 12th Standards
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
Workbook
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Utah Education Network (UEN)

Ch 6: Expressions & Equations II–Real-world equations, Inequalities

For Students 7th Standards
Use of the resource = Opportunities for increased learning. Learners must use equations and inequalities to solve real-world and geometric problems.
Lesson Plan
EngageNY

Directed Line Segments and Vectors

For Teachers 11th - 12th Standards
Investigate the components of vectors and vector addition through geometric representations. Pupils learn the parallelogram rule for adding vectors and demonstrate their understanding graphically. They utilize the correct notation and...
Lesson Plan
Curated OER

Sculpture Shapes

For Teachers 3rd - 5th
Students reconstruct an ancient Greek sculpture using various geometric forms and explore different geometric forms. They create an abstract human form out of geometric shapes and create other representations out of the same shapes.
Lesson Plan
Curated OER

Roger Brown

For Teachers 1st - 2nd
Pupils examine and discuss the use of symmetry in a painting by the artist Roger Brown. They draw a geometric shape, divide it with a line of symmetry, and create a painting using the geometric shapes demonstrating symmetry.
Lesson Plan
Curated OER

Battleship Wisconsin

For Teachers K - 2nd
Pupils predict what geometric shapes they think would be on the battleship; then view a picture and identify the various shapes they see. They take a tour of the battleship Wisconsin they identify various geometric shapes represented by...
Lesson Plan
Curated OER

Grasping Geometry

For Teachers 3rd - 4th
Students investigate geometric shapes in their environment, make a geometric design, and write paragraphs describing the design.
Lesson Plan
Curated OER

Create a Wrapping Cloth Design

For Teachers K - 2nd
Young scholars create wrapping clothes using paper or cloth scraps being sure to find or make geometric shapes. They create a visually balanced composition including symmetry,and repeated patterns.
Lesson Plan
Curated OER

Geo Jammin' - Day 4, Lesson 15: Geo Jingo Jivin'

For Teachers 2nd
Second graders explore how musical instruments h ave varying geometric shape, and how those geometric shapes correspond to three-dimenaional shapes that students have studied.
Lesson Plan
Curated OER

Discovering Art - Scott Gallery: Shape

For Teachers K - 3rd
Students study geometric, naturalistic, and abstract shapes in art. They review the names of shapes and name them in the portrait, Breakfast in Bed by Mary Cassatt. They simulate a baby as in the portrait and discuss the shapes. They...
Lesson Plan
Curated OER

Pass It On

For Teachers 5th
Fifth graders participate in a class activity that helps them learn some geometric terms along with their definitions. They describe relationships between two and three-dimensional shapes and analyze attributes and properties of...
Lesson Plan
Curated OER

Geometry House!

For Teachers 4th
Fourth graders use computer drawing tools to create a house of geometric shapes.
Lesson Plan
Curated OER

Sketchpad

For Teachers 9th - 12th
Students investigate the use of Geometer's Sketchpad when studying geometric terms. They use the visualization tools to complete worksheet and design a picture to print and share with the class.
Lesson Plan
Curated OER

Geo Jammin' By DeSign - Day 1, Lesson 5: Do You Hear What I Hear?

For Teachers 2nd - 3rd
Students listen to a poem that includes directions to use geometric figures to complete a creative task.
Lesson Plan
Curated OER

Parks Design Project

For Teachers 6th - 7th
Students explore two dimensional geometric figures. They explore the relationships and measurements of geometric figures. Students apply proportion and scaling. They design a city park for students and teenagers.
Lesson Plan
Curated OER

Building With Triangles

For Teachers 3rd - 5th
Students participate in a unit on triangles. Through the unit they explore different way to make basic shapes using triangles. They also examine the basic properties of triangles and the relationships among basic geometrical shapes in...
Lesson Plan
Curated OER

Polygons All Around Us!

For Teachers 9th - 12th
High schoolers explore the concept of polygon properties. In this polygon properties lesson, students draw polygons with different numbers of sides such as pentagons, octagons, hexagons, etc. High schoolers identify different geometric...
Lesson Plan
Curated OER

Cut, Construct and Think 3

For Teachers 5th - 8th
Learners identify and create shapes. In this geometric shapes lesson plan, students identify various polygons and try to create new shapes using existing polygons.

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