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...
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
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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
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
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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...
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
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
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...
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
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
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
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
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
Shodor Education Foundation

Shodor Interactivate: Triangle Explorer

For Students 9th - 10th Standards
This applet allows users to study the nature of triangles and their area. It draws random triangles on a Cartesian coordinate system. The user can determine the area of the triangle using his or her preferred method. After the calculated...
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
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.]
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
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: 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...

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