The purpose of this task is to give students an opportunity to compose and decompose polygons to make rectangles. The students will be shown a picture and are asked to count how many rectangles they see. Explanations and examples are...

This task is a natural follow up for task Rectangle Perimeter 1. After thinking about and using one specific expression for the perimeter of a rectangle, they now extend their thinking to equivalent expressions for the same quantity....

This task provides a geometric context for working with ratios and algebraic equations. Students will create and then solve an algebraic equation describing a remarkable shape, the silver rectangle. Aligns with A-CED.A.2.

For this task, students are given four sets of coordinate pairs and are asked to determine if they represent a rectangle. Aligns with 8.G.A, 8.G.B, G-CO.B, G-GPE.B, and G-SRT.B.5.

In this task, 8th graders are shown a picture of a quadrilateral on a coordinate grid and are asked to use the Pythagorean Theorem to find lengths and to explain why the quadrilateral is a rectangle. Aligns with 8.G.B.

Eighth graders are shown two rectangles with the same side lengths and are asked to answer questions about congruence and transformations. Aligns with 8.G.A.2.

This task shows the congruence of two triangles formed by cutting a rectangle in half along the diagonal. Students are asked to investigate elements of congruence and transformations among the shapes. Aligns with 8.G.A.2.

Gain an understanding of the golden rectangle with this helpful reference tool. Provides a detailed definition, examples, and an interactive activity that enhances further explanation. Includes links to related topics.

In this task, students must draw a diagram from a verbal description and use their understanding of similar triangles to find the area of a quadrilateral. Aligns with G-SRT.B.5.

Create shapes using colorful blocks, and explore the relationship between perimeter and area. CCSS.Math.Content.3.MD.C.7.a Find the area of a rectangle with whole-number side lengths by tiling it

This tutorial provides a brief introduction about what area is, then gives the formulas for area of a square, rectangle, parallelogram, trapezoid, triangle, and circle. Examples of each formula are provided.

This site contains questions and answers regarding the Golden Ration and how the Fibonacci numbers relate to the ratio of lengths of golden rectangles. Related links are available at the end of the site.

In this task, 6th graders must inches to feet in order to find the area of a rectangular board and explain the error in the calculations made by the board owner. Aligns with 6.RP.A.3.

This task asks students to determine the area of the exterior walls of a barn and to calculate how many gallons of paint would be needed to cover them, as well as the cost of the paint. Aligns with 6.G.A and 6.RP.A.3.

This lesson plan presents the idea that the area of any right triangle is exactly half of a certain rectangle, and contains varied exercises for young scholars.

Explore the world of quadrilaterals and their properties. Find answers to questions like what are quadrilaterals, how they are formed, easy ways to identify them, and commonly seen quadrilaterals around us.

Eighth graders are shown a drawing of a rectangle with a central triangle bordered by three right triangles. They are asked to prove whether or not the middle triangle is also a right triangle. Aligns with 8.G.B.

Compare the areas of rectangles represented in images or contexts. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Download these free worksheets to sharpen your measurement skills. Sheets focus on temperature, conversion, area and perimeter, volume, and more.

The purpose of this task is to use the Pythagorean Theorem and knowledge about quadrilaterals in order to construct squares of different sizes on a coordinate grid. Aligns with G-GPE.B.7.

This tool allows you to explore fractions, decimals and percents by creating fractions with denominators up to 100.

Biographical summary of the life and career of Piet Mondrian, Dutch painter best known for his abstract paintings made from squares and rectangles.

This site offers numerous activities for middle school and high school students to explore using Geometer's Sketch Pad.

As part of the Smithsonian Art Museum's database of artists, this site provides biographical information on Sam Francis in addition to an extensive listing of his works as displayed at the museum.