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Shodor Education Foundation
Triangle Area
While the instructional activity focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in...
Doing Maths
Area of Various Shapes
Find the area of triangles, rectangles, and parallelograms using this metric worksheet.
EngageNY
What Is Area?
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...
National Security Agency
Awesome Area - Geometry and Measurement
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...
EngageNY
The Area of a Circle
Introduce learners to two methods to estimate the formula for the area of a circle. The first method uses a sector of a circle to form a rectangle, and the other uses grids to estimate the area. The problems in the 18th segment of a...
EngageNY
Solving Area Problems Using Scale Drawings
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...
EngageNY
More Problems on Area and Circumference
Perimeter check! Pairs work on finding the areas of semicircles and quarter circles using a relationship with squares. The problems challenge pupils to find areas of composite figures made from rectangles, semicircles, and quarter circles.
PBS
Garden Grade 6 Area and Perimeter
Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry lesson. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden...
Virginia Department of Education
Exploring 3-D Geometry
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...
EngageNY
Area Problems with Circular Regions
Uncover strategies for finding areas of composite figures. The 23rd lesson in a 29-part module has young mathematicians decompose figures to find total area. Figures decompose to rectangles and circular regions.
Education Development Center
Choosing Samples
What makes a good sample? Your classes collaborate to answer this question through a task involving areas of rectangles. Given a set of 100 rectangles, they sample a set of five rectangles to estimate the average area of the figures. The...
Common Core Sheets
Creating Area and Perimeter Rectangles
Third graders are challenged to draw their own rectangles given a specific area or perimeter. There are no examples of how each rectangle should look, so it is important for learners to persevere in finding a solution. There is more...
Differentiation Central
Perimeter and Area
Leave no student behind with this differentiated geometry unit on perimeter and area. Over the course of five lessons, young mathematicians explore these foundational concepts through a series of self-selected hands-on activities and...
PBS
KidVid: Scaling Up Rectangles
Tip the scale in your favor when learning about scale factors. After viewing a video clip of a learner trying to determine the scale factor of the areas of two rectangles, scholars consider how changing the dimensions of a rectangle...
Beyond Benign
Hit the Deck: Area and Perimeter Review
Designing a deck sure demands a lot of math. Future engineers and architects learn about the areas and perimeters of squares, rectangles, triangles, and composite figures. They apply their new knowledge to design a deck with a specified...
Radford University
Natural Disaster Recovery and Quadrilaterals: Fencing and Roofing Materials
Storm into a better understanding of geometry. Using a tornado as a backdrop, scholars practice their skills finding perimeters and areas of rectangles. Learners apply their knowledge of the Pythagorean Theorem to find missing sides of...
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...
EngageNY
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
Curated OER
Halves, Thirds, and Sixths
An excellent activity that effectively pulls together the concepts of area, fractions, and equivalent fractions! Using 3x2 rectangular arrays, 3rd graders are introduced to the concept of area in terms of square units. Building on this...
EngageNY
Mathematical Area Problems
Teach the connection between area models and the distributive property through problem-solving. The 22nd activity in a series of 29 explains the distributive property graphically. Learners build area models from word problems and convert...
EngageNY
Composite Area Problems
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,...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Doing Maths
Insulating the House
Finding the area of a rectangle is the focus of this metric worksheet. Here, mathematicians use their knowledge of finding the area of a shape in meters to discover how much material can fit inside a shape.
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