Assessment
Balanced Assessment

Triangle in Circle

For Students 6th - 8th
Even kindergartners can draw triangles in circles, but the assessment task requires a bit more geometric knowledge. Scholars investigate triangles that have a diameter of a circle as one of its sides. They must consider triangles that...
Assessment
Balanced Assessment

Refiguring Pythagoras

For Students 6th - 8th
Why was Pythagoras so obsessed with squares? The assessment task posits the question of whether the geometric interpretation of the Pythagorean Theorem holds for figures other than squares. Scholars first consider the case of semicircles...
Lesson Plan
West Contra Costa Unified School District

Solving and Using Literal Equations

For Teachers 8th - 10th
You literally need to use the resource. Young mathematicians solve geometric problems by using literal equations. They go on to solve distance/rate/time problems by using literal equations — a great progression that helps introduce the...
Lesson Plan
West Contra Costa Unified School District

Pythagorean Theorem and Its Converse

For Teachers 9th - 12th Standards
Challenge scholars to prove the Pythagorean Theorem geometrically by using a cut-and-paste activity. They then must solve for the missing sides of right triangles.
Lesson Plan
California Mathematics Project

Reflections

For Students 8th - 10th Standards
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson plan in a seven-part series.
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...
Assessment
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Balanced Assessment

Don't Fence Me In

For Students 9th - 12th Standards
Investigate the complexities of design problems using geometric concepts. The task asks scholars to design a fence for a horse based on the distance it can travel within one hour. It is a seemingly simple task — until individuals learn...
Assessment
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Balanced Assessment

Bicycle Chain II

For Students 9th - 12th Standards
Apply geometric concepts to a design problem. Individuals examine the structural setup of the chain on a bicycle and use the measurements of the circles to determine the length of the chain. 
Printables
Curated OER

Worksheet for Pi

For Students 6th - 8th
Who needs a pie-eating contest when you have a pi-ology game! Celebrate March 14th with a fun board game about pi and other geometric concepts. As learners answer questions about geometry, they move around the board to collect...
Assessment
Mathed Up!

Negative Scale Factor

For Students 9th - 12th
Class members investigate the effect of a negative scale factor dilation on coordinate shapes as they watch a short video that shows an example of a geometric figure undergoing a dilation with a negative scale factor. Learners then try a...
Activity
Noyce Foundation

Miles of Tiles

For Students K - 12th Standards
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
Activity
Noyce Foundation

Double Down

For Students K - 12th Standards
Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.  
Lesson Plan
National Gallery of Art

Islamic Art and Culture

For Teachers 9th - 12th Standards
Provided by the National Gallery of Art in Washington, this resource for teachers examines Islamic art, including calligraphy, arabesques, and geometric designs.  A recounting of the spread of the faith and the tumultuous political...
Assessment
Illustrative Mathematics

Lines of Symmetry for Circles

For Students 4th Standards
Further your instruction on geometrical symmetry with an investigation of circles. Fourth graders come to realize that the lines of symmetry of a circle are infinite.
Activity
Education Development Center

Similar Triangles

For Students 8th - 10th Standards
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
Interactive
CK-12 Foundation

Proofs: Angle Pairs and Segments—The Three Angle Problem

For Students 9th - 11th
Finding the sum of the measures of three angles is easy, unless you have no clue what the measures are. Learners use an interactive diagram to see a geometric problem in a different way. A set of challenge questions takes them through...
Interactive
CK-12 Foundation

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Interactive
Annenberg Foundation

Geometry 3D Shapes: Platonic Solids

For Students 6th - 10th Standards
From polyhedrons to platonic solids, here is a lesson that will have your classes talking! As an introduction to platonic solids, scholars cut and fold nets to create the three-dimensional solids. They use an interactive component to...
Interactive
Annenberg Foundation

Geometry 3D Shapes: Surface Area and Volume

For Students 6th - 10th Standards
Whether you wrap it or fill it, you're using geometric concepts. Classmates use an interactive approach to learn how to find volume and surface area of cylinders and prisms in the second lesson in a five-part series. The online lesson...
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...
Assessment
Concord Consortium

Bricks for Books

For Students 5th - 7th Standards
Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...
Assessment
Concord Consortium

Full of Beans

For Students 7th - 12th Standards
Scholars have an opportunity to use their geometric modeling skills. Pupils determine a reasonable estimate of the number of string beans that would fill the average human body.
Assessment
Mathed Up!

Forming and Solving Equations

For Students 7th - 9th Standards
What does geometry have to do with geometry? The portion of a review series for a math assessment highlights how equation formation is assessed on the test. Pupils use geometric concepts such as perimeter and the sum of the measures of...

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