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Curated OER
Area of a Parallelogram
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...
Curated OER
Finding the Area of Shapes
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...
Curated OER
Area of Tangram Pieces
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...
Curated OER
The Area of a Circle
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
Willow Tree
Area of Common Geometric Figures
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...
Curated OER
Finding the Area of a Parallelogram with Translations
Young scholars calculate the area of a parallelogram. In this geometry lesson plan, students perform translation using a coordinate plane and coordinate pairs. They perform translation on other polygons.
Curated OER
Finding the Area of a Parallelogram with Translations
Students calculate the area of parallelograms. In this geometry lesson, students identify properties of parallelograms and use to to solve problems. They create polygons using Cabri software.
Illustrative Mathematics
Finding Areas of Polygons, Variation 1
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...
Government of Hong Kong
Areas and Volumes - 2D Shapes
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...
EngageNY
Unknown Area Problems on the Coordinate Plane
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...
Curated OER
Finding the Area of a Triangle
Fifth graders investigate the area of a triangle. For this geometry lesson, 5th graders practice finding the area of a triangle using the correct formula: 1/2bh.
EngageNY
The Scaling Principle for Area
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.
Curated OER
Geometry Practice: Area of Polygons #3
Students find the area of two parallelograms. One answer is multiple choice, the other is a short answer. Students graph four lines, and find the area of the parallelogram formed by these lines. Students explain the angle that will give...
EngageNY
Real-World Area Problems
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.
EngageNY
Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities
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...
Curated OER
Areas of Trapezoids, Rhombuses and Kites
Students calculate the area of different polygons. In this geometry lesson, students find the area for trapezoids, rhombuses and kites.
EngageNY
Getting a Handle on New Transformations 1
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...
Curated OER
Area of Polygons
In this area of polygons worksheet, 10th graders solve and complete 12 various types of problems. First, they find the area of a given square. Then, students find the length of an original square as illustrated. They also write an...
Curated OER
Area and Perimeter
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...
Curated OER
Does the Area of the Quadrilateral Change?
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...
Curated OER
Finding the Area and Perimeter of Polygons
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...
Curated OER
Brother In The Box
Learners investigate the concept of finding the area of a parallelogram. The lesson uses a story that is told as an illustration to help straighten the confusion associated with the concept. Students could construct parallelograms for...
Curated OER
Developing Formulas for Triangles and Quadrilaterals
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.
Curated OER
Area and Volume
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.