Curated OER
Measurement: Finding Areas of Rectangles
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!
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
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...
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.
Curated OER
Area and Perimeter of Regular Polygons - An Extension
Pupils explore the relationship between area and perimeter of polygons.They measure the area and perimeter of regular polygons inscribed in a circle. Learners then discuss how as the number of sides of a regular polygon increase, the...
Curated OER
Complex Area Problems
Learners calculate the area of different polygons. For this geometry lesson, students find the area of complex polygons. They solve word problems using rates and distances.
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
Investigating Area Relationships
Learners investigate the area of various figures. They construct triangles and quadrilaterals using Cabri Jr. and discuss the relationships between different angles, side lengths, and figures.
Radford University
Finding the Largest Possible Area
If you want a bigger garden, here's a task for you. Given the perimeter of a triangular garden, scholars determine the largest possible area. They then generalize their findings and extend the idea to other polygons.
Curated OER
Finding the Area of Regular Polygons
Students analyze relationship between the increase in polygons sides and a circle. In this geometry lesson plan, students relate the size of the central angle of a polygon, to a circle. They compare the formula for the area of a polygon...
Curated OER
Exploring Area and Perimeter
Two students are blindfolded and each receives a cardboard square, one with pompoms glued around the edge and one with pompoms glued all over the surface. They identify what they feel. The class discusses perimeter and area of polygons....
Curated OER
Areas of Trapezoids, Rhombuses and Kites
Students calculate the area of different polygons. For this geometry lesson, students find the area for trapezoids, rhombuses and kites.
Curated OER
Powerful Polygons
Students scan the classroom to find different common shapes. They listen as the teacher defines polygon and regular polygon. The teacher demonstrates regular polygons via the Internet and the "Math is Fun" web site. Students go outside...
Curated OER
Comparing Area and Perimeter
Students solve problems by finding the perimeter and area of an enclosed area. In this geometry lesson, students differentiate between the area and the perimeter. They see how they relate and how to use it to maximize an enclosed area.
Curated OER
Formulas for Volume and Surface Area
Students calculate the volume and surface area of each shape. In this geometry instructional activity, students use nets and other three dimensional polygons to create visuals of the volume of a shape. They define important...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Poly-Mania
This hands-on activity takes young geometers on a tour of 2D polygons and 3D polyhedrons. After exploring different web resources and discussing geometric shapes, small groups construct models of polyhedrons using bendable straws. Note:...
Curated OER
Rectangular Gardens Within A Given Perimeter
Sixth graders design rectangular gardens with a given perimeter and generalize how to maximize the area Students applying the formulas for perimeter and area of polygons. They analyze length, area, and volume and make relationships...
Utah Education Network (UEN)
The Pasture and the Fence
Beginning geometers use tiles and grid paper to draw and calculate perimeter and area. Rectangles of different sizes are created and then measured to build understanding. The one-inch grid sheet referenced is attached.
Curated OER
Areas of Polygons
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.
Curated OER
Sum of Exterior Angles of Polygons
Have fun calculating angles for different polygons. The class differentiate the relationship between the interior and exterior angles of polygons. They discuss linear pair as it related the polygons and their angles. This is done as they...
Curated OER
Area Formulas
Teach your pupils to calculate the area of different polygons. Learners create formulas to solve their problems. They use the TI navigator to graph their shapes and observe the change in area.
Curated OER
Tessellations with Regular Polygons
Show your learners how to create tessellations using different polygons. This is achieved by having high schoolers make observations of polygons to find the ones that will tessellate.
Curated OER
Area of Composite Polygon
Eighth graders are shown a blueprint of a house and must determine the amount of carpet needed. In groups, they calculate the area of rectangles and triangles and apply them to the shapes in the blueprint. To end the instructional...
NY Learns
Investigation - Looking at Polygons
Middle schoolers construct polygons by plotting points on a coordinate plane. Pupils connect the points and identify which polygons they have drawn. They will need graph paper to carry out the assigned activities. A vocabulary list,...
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