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Education Development Center
Rectangles with the Same Numerical Area and Perimeter
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...
101 Questions
Circle-Square
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...
Illustrative Mathematics
Designs
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...
Curated OER
Shapes and Their Insides
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...
Illustrative Mathematics
Stained Glass
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...
Illustrative Mathematics
Hexagonal Pattern of Beehives
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....
Curated OER
Finding the Area of an Equilateral Triangle
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...
Howard County Schools
Building a Playground
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.
Teach Engineering
Edible Rovers (High School)
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...
Curated OER
Relative Age Dating
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.
Teach Engineering
Stay in Shape
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.
Illustrative Mathematics
Overlapping Squares
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....
National Council of Teachers of Mathematics
The Math Forum: Seventh Grade Math: Area and Perimeter
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.
Texas Instruments
Texas Instruments: Finding Patterns and Graphing Functions
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.
Texas Instruments
Texas Instruments: Figuring Areas
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...
Scholastic
Scholastic Lesson Plan: New Way to Measure Area
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....
Texas Instruments
Texas Instruments: Comparing Perimeters and Areas
Students use a graphing calculator to find maximum and minimum values for area and perimeter problems.
Texas Instruments
Texas Instruments: Perimeter, Circumference, and Area
Students find perimeters of rectangles and squares, as well as circumferences of circles. Students find areas of rectangles, squares, and circles. [Requires Adobe Reader.]
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polygons and Areas of Plane Figures
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...
National Council of Teachers of Mathematics
Nctm: Figure This: Patios
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.
Texas Instruments
Texas Instruments: Polygon Area
Students will compare areas of different polygons with a fixed perimeter and find the shape that gives the maximum area
AAA Math
Aaa Math: Perimeter of a Square
Students can practice finding the perimeter of squares through the self-check exercises and timed learning games provided on this site.
National Council of Teachers of Mathematics
Nctm: Illuminations: Igd: Area of a Parallelogram
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.
National Council of Teachers of Mathematics
Nctm: Illuminations: Igd: Area of a Triangle
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.]