Assessment
Noyce Foundation

Parallelogram

For Teachers 6th - 7th Standards
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
Lesson Plan
Willow Tree

Area of Common Geometric Figures

For Students 8th - 11th Standards
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Worksheet
Doing Maths

Area of Various Shapes

For Students 3rd - 6th Standards
Find the area of triangles, rectangles, and parallelograms using this metric worksheet.
Worksheet
Math Mammoth

Finding the Area of Rectangles, Parallelograms, and Triangles

For Students 9th
In this area of polygons activity, 9th graders solve two area of rectangles, one area of parallelogram, and ten area of triangles problems.  The formulas for finding the area of these figures are provided.
Lesson Plan
Government of Hong Kong

Areas and Volumes - 2D Shapes

For Teachers 3rd - 6th Standards
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...
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...
Lesson Plan
EngageNY

The Scaling Principle for Area

For Teachers 9th - 10th Standards
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal. 
Lesson Plan
EngageNY

Real-World Area Problems

For Students 7th Standards
Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.
Unit Plan
Arizona Department of Education

Area and Perimeter of Regular and Irregular Polygons

For Teachers 3rd - 6th Standards
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...
Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities

For Students 9th - 12th Standards
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...
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

Getting a Handle on New Transformations 1

For Teachers 11th - 12th Standards
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
Worksheet
Mrs. Glosser's Math Goodies

Perimeter & Area Worksheet 2

For Students 6th - 9th Standards
Alternate between area and perimeter with this worksheet, practicing both concepts with different shapes. Problems include examples with parallelograms, octagons, squares, rectangles, and trapezoids. The formulas are not provided,...
Instructional Video16:10
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Flipped Math

Parallelograms and Triangles

For Students 9th - 12th Standards
Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to...
Handout
2
2
Centre for Innovation in Mamatics Teaching

Area, Perimeter and Volume

For Students 5th - 8th Standards
Develop young mathematicians' knowledge of two- and three-dimensional shapes with this geometry workbook. From learning about the classifications of different shapes and figures to calculating their area, perimeter, and volume, this...
Worksheet
Mrs. Glosser's Math Goodies

Perimeter & Area Worksheet 3

For Students 6th - 9th Standards
There are many different polygons, so give your learners a worksheet that practices area and perimeter on the various shapes. This full-page worksheet includes problems with hexagons, trapezoids, squares, parallelograms, and rectangles....
Assessment
Inside Mathematics

Expressions

For Teachers 9th - 12th Standards
Strive to think outside of the quadrilateral parallelogram. Worksheet includes two problems applying prior knowledge of area and perimeter to parallelograms and trapezoids. The focus is on finding and utilizing the proper formula and...
Worksheet
National Council of Teachers of Mathematics

Perplexing Parallelograms

For Students 9th - 10th
In this geometry activity, young mathematicians divide a parallelogram into four, by choosing points along a diagonal.  Students calculate the area of each parallelogram and look for any patterns that may emerge.  The one-page...
Assessment
Concord Consortium

Rectangulating

For Students 9th - 12th Standards
Use rectangles to find distances. Given a rectangle and three associated triangles, pupils determine the area of the triangles. Scholars know the three triangles have equal areas along with the perimeter of the rectangle and two other...
Workbook
Utah Education Network (UEN)

Ch 5: Geometry

For Students 6th Standards
Shape one's understanding of geometry using the resource. The sixth of seven chapters in 6th Grade Math focuses on geometry principles. Future mathematicians learn to find the area of parallelograms, trapezoids, triangles, and other...
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,...
Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 5

For Students 5th Standards
Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and...
Assessment
Los Angeles County Office of Education

Assessment For The California Mathematics Standards Grade 4

For Students 4th Standards
Have scholars show what they know with a 20-page assessment aligned to the California State Standards. The test covers concepts such as large and whole numbers, all four mathematical operations, fractions, decimals, geometric figures,...
Unit Plan
Mathematics Vision Project

Module 10: Matrices Revisited

For Students 10th - 12th Standards
A matrix is just a fancy way of making a table. Young scholars explore operations with matrices with the first lessons in the final module of a 10-unit Algebra II series. After adding, subtracting, and multiplying matrices, pupils use...