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
EngageNY

Perimeter and Area of Polygonal Regions in the Cartesian Plane

For Students 9th - 12th Standards
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Lesson Plan
Illuminations

Circumference and Areas of Circles

For Teachers 7th - 12th Standards
Middle and high schoolers listen to a scenario about a puppy and use the scenario to develop formulas in order to find the area of a circle. In this circumference lesson, pupils understand how to find the radius, diameter, area of a...
Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...
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
Curated OER

Area of Polygons #5

For Teachers 9th - 12th
Students explore the concept of area.  In this area worksheet, students find the area of trapezoids given a drawing and given equations of lines.  Students answer 9 multiple choice problems.
Lesson Plan
Curated OER

Is There Mystery in Measurement?

For Teachers 3rd - 6th
Investigate perimeter and area of polygons! In this measurement lesson, learners use index cards to create rectangles and trace their hand to estimate its area and perimeter.
Lesson Plan
Curated OER

Area of Polygons

For Teachers 9th - 11th
Students engage in a lesson that is about the concept of polygons and focuses upon finding the area. They use formulas provided in the lesson in order to solve problems given by the teacher for independent practice. Geometric figures are...
Lesson Plan
Curated OER

Areas of Polygons

For Teachers 9th - 12th Standards
Young mathematicians calculate the area of polygons in this algebra lesson. They find the determinant as they calculate the areas for triangles and quadrilaterals. They also use scalar multiplication to find the determinant.
Lesson Plan
Curated OER

Geometry Practice: Area of Polygons #8

For Teachers 9th - 12th
In this area of polygons worksheet, young scholars solve 7 short answer and multiple choice questions about area.  Students find the area of triangles given base and height, or points in the coordinate plane.
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
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

Measurement: Finding Areas of Rectangles

For Teachers 3rd - 5th Standards
Gardening geometers construct the formula for the area of a rectangle by viewing a video revolving around two young people, their lawn mowing business, and their need to charge by the square meter. A relevant real-life application lesson!
Lesson Plan
Curated OER

Geometry Practice: Area of Polygons #9

For Teachers 9th - 11th
In this area of polygons worksheet, students find the area of 12 polygons. Each shape is drawn on a grid. The area of each square on the grid is given. Problems are all multiple choice.
Lesson Plan
Curated OER

Measuring Area: Sensible Flats

For Teachers 3rd - 6th
Here's how to calculate the areas of polygonal figures. In this measuring area lesson, upper graders use hash marks to create and count square units. They also problem solve a cyberchase activity watching Quicktime videos.
Lesson Plan
Virginia Department of Education

Arc Length and Area of a Sector

For Teachers 9th - 11th Standards
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Lesson Plan
Curated OER

Learning by Logic - Total Surface Area

For Teachers 3rd - 6th
Geometers calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle. They develop the formula for calculating the total surface area of two geometric solids: the cube and rectangular prism.
Lesson Plan
National Security Agency

Awesome Area - Geometry and Measurement

For Teachers 2nd - 4th Standards
Break out those math manipulatives, it's time to teach about area! Capturing the engagement of young mathematicians, this three-lesson series supports children with learning how to measure the area of squares, rectangles, and other...
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 lesson is much like a PowerPoint,...
Lesson Plan
Curated OER

Areas of Trapezoids, Rhombuses and Kites

For Teachers 8th - 10th
Young scholars calculate the area of different polygons. In this geometry lesson, students find the area for trapezoids, rhombuses and kites.
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...
Lesson Plan
Curated OER

Finding Areas of Polygons and Circles

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

Measuring the Area of Polygons

For Teachers 4th
Fourth graders use pattern blocks to explore areas of polygons. They explain that the answers to the area of the same polygon vary according to the units of measurement used. They visualize how different units of measurement can be used...

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