Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the instructional activity focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in...
Lesson Plan
EngageNY

The Area of a Circle

For Teachers 7th Standards
Introduce learners to two methods to estimate the formula for the area of a circle. The first method uses a sector of a circle to form a rectangle, and the other uses grids to estimate the area. The problems in the 18th segment of a...
Worksheet
Doing Maths

Area of Various Shapes

For Students 3rd - 6th Standards
Find the area of triangles, rectangles, and parallelograms using this metric worksheet.
Lesson Plan
EngageNY

More Problems on Area and Circumference

For Teachers 7th Standards
Perimeter check! Pairs work on finding the areas of semicircles and quarter circles using a relationship with squares. The problems challenge pupils to find areas of composite figures made from rectangles, semicircles, and quarter circles.
Lesson Plan
EngageNY

What Is Area?

For Teachers 9th - 10th Standards
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
Worksheet
Doing Maths

Insulating the House

For Students 3rd - 6th Standards
Finding the area of a rectangle is the focus of this metric worksheet. Here, mathematicians use their knowledge of finding the area of a shape in meters to discover how much material can fit inside a shape.
Lesson Plan
EngageNY

Solving Area Problems Using Scale Drawings

For Teachers 7th Standards
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...
Lesson Plan
EngageNY

Composite Area Problems

For Teachers 7th Standards
The 21st segment in a 28-part series provides learners with area problems involving composite figures. To find the solution, pupils must decide whether to add or subtract areas. The composite figures are composed of quadrilaterals,...
Lesson Plan
PBS

Garden Grade 6 Area and Perimeter

For Teachers 3rd - 6th Standards
Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry lesson. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden...
Lesson Plan
EngageNY

Unknown Area Problems on the Coordinate Plane

For Teachers 7th Standards
Scholars determine distances on the coordinate plane to find areas. The instructional activity begins with a proof of the formula for the area of a parallelogram using the coordinate plane. Pupils use the coordinate plane to determine...
Unit Plan
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Virginia Department of Education

Exploring 3-D Geometry

For Teachers 6th - 8th Standards
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
Lesson Plan
EngageNY

Area Problems with Circular Regions

For Teachers 7th Standards
Uncover strategies for finding areas of composite figures. The 23rd lesson in a 29-part module has young mathematicians decompose figures to find total area. Figures decompose to rectangles and circular regions.
Worksheet
Common Core Sheets

Creating Area and Perimeter Rectangles

For Students 3rd Standards
Third graders are challenged to draw their own rectangles given a specific area or perimeter. There are no examples of how each rectangle should look, so it is important for learners to persevere in finding a solution. There is more...
Unit Plan
Radford University

Natural Disaster Recovery and Quadrilaterals: Fencing and Roofing Materials

For Students 9th - 12th Standards
Storm into a better understanding of geometry. Using a tornado as a backdrop, scholars practice their skills finding perimeters and areas of rectangles. Learners apply their knowledge of the Pythagorean Theorem to find missing sides of...
Lesson Plan
1
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Illustrative Mathematics

Equal Area Triangles on the Same Base II

For Teachers 9th - 12th Standards
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Activity
Education Development Center

Choosing Samples

For Students 6th - 7th Standards
What makes a good sample? Your classes collaborate to answer this question through a task involving areas of rectangles. Given a set of 100 rectangles, they sample a set of five rectangles to estimate the average area of the figures. The...
Performance
Radford University

Escape from the Zombie Apocalypse - Exploring Quadrilaterals through Google Maps and Google Earth

For Teachers 9th - 12th Standards
Prepare for the zombie apocalypse ... by studying quadrilaterals? Given a map of an imaginary town, scholars identify quadrilaterals created by streets. They then use Google Earth and Google Maps to find parallelograms, rectangles,...
Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Unit Plan
PBS

Accessible Shapes

For Teachers 6th - 8th Standards
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
Lesson Plan
Virginia Department of Education

Similar Solids and Proportional Reasoning

For Teachers 9th - 11th
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 1)

For Students 9th - 10th Standards
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
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...
Lesson Plan
1
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Illustrative Mathematics

Shape Hunt Part 2

For Teachers Pre-K - 1st Standards
Shapes are everywhere in the world around us, from rectangular doors to the circular wheels of a car. The second lesson in this series opens the eyes of young mathematicians to this wonderful world of shapes as they search the classroom,...
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.