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
Curated OER

Area and Perimeter

For Teachers 10th
Learners find the area and perimeter of regular polygons and composite figures and examine the effect on the area and perimeter of a figure if the dimensions are multiplied by a constant. The nine page worksheet contains thirty-seven...
Lesson Plan
Curated OER

Finding the Area and Perimeter of Polygons

For Teachers 7th
Seventh graders practice finding the area and perimeter of polygons. In this polygon area lesson, 7th graders brainstorm shapes and take a walk to locate shapes. Students record properties of shapes and use various shapes to make a...
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...
Lesson Plan
Curated OER

Area and Volume

For Teachers 6th - 8th
Use this geometry review worksheet to have learners complete nine problems involving transformations, area, volume, and unit conversions. They answer one multiple choice question on estimating lengths.
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
Curated OER

Similarity and Dilations - Discover Properties of Similar Figures

For Teachers 9th - 12th Standards
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
Lesson Plan
Curated OER

Perimeter & Area Worksheet I

For Teachers 7th - 8th
In this perimeter and area worksheet, students find the perimeter and area of regular polygons. They identify the perimeter and area of polygons such as triangles, trapezoids, circles, rectangles, and parallelograms. Students write the...
Lesson Plan
Curated OER

Area of Tangram Pieces

For Teachers 3rd - 4th
Mathematicians calculate the area of a tangram piece without using formulas. They use a geometry journal to record activities during this lesson. They make a set of tangrams and use them to compute area. They use...
Lesson Plan
Illustrative Mathematics

Finding Areas of Polygons, Variation 1

For Teachers 5th - 9th Standards
An exercise in finding the area of polygons by decomposing into triangles and composing into rectangles is the focus of this resource. Make several copies of the worksheet for each participant. Ask learners to use colored pencils to...
Lesson Plan
Curated OER

Perimeter and Area Worksheet II

For Teachers 7th - 8th
In this perimeter and area worksheet, students find the perimeter and area of polygons. They use the proper formula to find the perimeter and area of circles, parallelograms, triangles, and rectangles. Students complete solve ten problems.
Lesson Plan
Curated OER

Developing Formulas for Triangles and Quadrilaterals

For Teachers 10th
In this geometry worksheet, 10th graders determine the area of triangles, parallelograms, trapezoids, kites, and rhombuses. The one page worksheet contains eleven problems. Answers are included.
Lesson Plan
Curated OER

Finding the Area of Shapes

For Teachers 3rd - 5th
In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...
Lesson Plan
Curated OER

Area and Perimeter of Polygons

For Teachers 10th
In this geometry worksheet, 10th graders calculate the perimeter and area using the specific formula for that polygon. There are 5 questions with an answer key.
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...
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.
Lesson Plan
Curated OER

Fish Tanks: Volume and Surface Area

For Teachers 5th - 7th
Given a very realistic challenge, your young geometers design residential fish tanks in rectangular and triangular prism shapes. They compute the volume of water each will hold. They also determine the size of plastic covers for each...
Lesson Plan
Curated OER

Does the Area of the Quadrilateral Change?

For Teachers 5th - 6th
Students study area and quadrilaterals. In this multiplication and area lesson, students use Polystrip models to change rectangles to form different parallelograms. Students find the area of the models use a Geometer Sketchpad to find...
Lesson Plan
Curated OER

Parallelograms and Triangles

For Teachers 8th - 11th
In this parallelogram and triangle worksheet, students answer 10 word problems regarding the area and perimeter of triangles and the area of parallelograms.
Lesson Plan
Curated OER

Area of a Parallelogram

For Teachers 6th
Fifth graders will use geoboards to construct parallelograms. They will determine the area of a rectangle and then apply that thinking to determine the area of a parallelogram. Note: The format of this instructional activity is much like...
Lesson Plan
Curated OER

Geometry: Area, Scale Factor, Circumference

For Teachers 5th - 8th
In this geometry worksheet, students solve 10 problems regarding area, scale factors, and circumference. Students, in 3 of the problems, are given the circumference and asked to work backwards to find missing information.
Lesson Plan
Curated OER

Finding Areas of Polygons and Circles

For Teachers 6th - 8th
In this math worksheet, young scholars find the areas for the shapes. They apply the appropriate formula for each shape that is drawn and in the word problems.