Activity
Education Development Center

Rectangles with the Same Numerical Area and Perimeter

For Students 8th - 9th Standards
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
Activity
101 Questions

Circle-Square

For Teachers 9th - 12th Standards
How do the area and perimeters of circles and squares compare? A clever video illustrates the change in the area of a circle and square while their total perimeter stays the same. The task is for learners to predict the point where the...
Lesson Plan
Illustrative Mathematics

Designs

For Teachers 6th - 8th Standards
A resource that makes for excellent group work as learners explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group members...
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

Stained Glass

For Teachers 7th - 9th Standards
A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...
Activity
1
1
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
Curated OER

Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
Activity
Howard County Schools

Building a Playground

For Teachers 9th - 11th Standards
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
Activity
1
1
Teach Engineering

Edible Rovers (High School)

For Teachers 9th - 12th Standards
Design and build a rover ... then eat it? This activity has groups of two design and build Mars rovers. The teams determine what instruments they want to include with their rover and plan a budget. They calculate the cost of the body of...
Activity
Curated OER

Relative Age Dating

For Students 6th - 8th
Modeling dough and paper cutouts in science class? Learn about how relative age dating concepts, like the Law of Superposition and cross-cutting relationships, can be used to describe the formation of sedimentary layers.
Activity
Teach Engineering

Stay in Shape

For Teachers 7th - 9th Standards
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
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....
Activity
National Council of Teachers of Mathematics

The Math Forum: Seventh Grade Math: Area and Perimeter

For Students 6th - 8th
Learn how to enlarge drawings, figure out how much tile to buy to cover a specific floor, and learn about area and perimeter. These and other lesson plans are provided, including a fun interdisciplinary plan featuring dragons.
Activity
Texas Instruments

Texas Instruments: Finding Patterns and Graphing Functions

For Teachers 9th - 10th Standards
This activity has students find patterns in the areas and perimeters of a given series of figures. Students' then use graphing calculators to graph the values and to find linear and quadratic functions to describe the patterns.
Activity
Texas Instruments

Texas Instruments: Figuring Areas

For Teachers 9th - 10th
In this activity, students find the area of regular polygons using a summation approach and compare the summations with area calculated by Cabri Geometry Application. They also examine patterns of finding area and perimeter as the number...
Activity
Scholastic

Scholastic Lesson Plan: New Way to Measure Area

For Teachers 3rd - 8th Standards
This article describes a new approach to teaching children more than just memorizing a formula to find area and hope they don't confuse it with perimeter. This approach involves a project with real life situations....
Activity
Texas Instruments

Texas Instruments: Comparing Perimeters and Areas

For Teachers 9th - 10th
Students use a graphing calculator to find maximum and minimum values for area and perimeter problems.
Activity
Texas Instruments

Texas Instruments: Perimeter, Circumference, and Area

For Teachers 9th - 10th Standards
Students find perimeters of rectangles and squares, as well as circumferences of circles. Students find areas of rectangles, squares, and circles. [Requires Adobe Reader.]
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Polygons and Areas of Plane Figures

For Students 9th - 10th Standards
Twenty-five problems cover the topics of polygons and finding the area for various plane figures. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Patios

For Students 3rd - 8th Standards
Does bigger perimeter mean bigger area? Answer this question when you try this math challenge from the NCTM Math Challenges for Families series. Discover how understanding area and perimeter can be useful in real world situations.
Activity
Texas Instruments

Texas Instruments: Polygon Area

For Teachers 9th - 10th Standards
Students will compare areas of different polygons with a fixed perimeter and find the shape that gives the maximum area
Activity
AAA Math

Aaa Math: Perimeter of a Square

For Students 3rd - 5th Standards
Students can practice finding the perimeter of squares through the self-check exercises and timed learning games provided on this site.
Activity
National Council of Teachers of Mathematics

Nctm: Illuminations: Igd: Area of a Parallelogram

For Students 3rd - 8th Standards
This applet will show you how to divide the parallelogram into pieces, arrange them together to form a rectangle, and then use the formula for the area of a rectangle to find the area of the parallelogram.
Activity
National Council of Teachers of Mathematics

Nctm: Illuminations: Igd: Area of a Triangle

For Students 9th - 10th
Use this interactive tool to learn how to find the area of a triangle. Click on "Instructions" for details on how to use this tool. Click on "Explore" for more ideas. [Requires Java.]

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