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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...
Common Core Sheets
Rectangles - Same Perimeter and Different Area
Given a rectangle with specified dimensions, learners are prompted to create a new rectangle with the same perimeter, but a different area. This challenges third graders to think about perimeter and area in a new way. Each problem...
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...
Curated OER
The Circumference of a Circle and the Area of the Region it Encloses
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for...
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...
National Security Agency
Backyard Building - Area and Perimeter
Turn young mathematicians into landscape architects with this four-lesson series on area and perimeter. Beginning with a basic introduction to calculating perimeter and area using non-standard units of measurement, this...
Curated OER
Mapping the Bone Field: An Area and Scale Exercise
Here is an excellent cross-curricular activity. Learners relate multiplication to area by making a grid on graph paper, and then creating the same grid in real space outside in the school yard.
Mathed Up!
Simple Perimeter, Area, and Volume
Young mathematicians find the area and perimeter of shaded shapes on a grid of unit squares. The sheets challenge class members to find the volume of various solid prisms. Each questions also includes the total value of suggest...
Curated OER
Surface Area and Volume
Upper graders identify the surface area and attributes of figures that are measurable. They estimate, measure, and record perimeter, area, temperature change, and elapsed time, using a variety of strategies. They also determine the...
PHET
Area Model Decimals
Area works with decimals too. Pupils use the interactive to model multiplication of two decimals using an area model. They see how the decomposed components of the factors obtain partial products and then the complete product. Using area...
Curated OER
ExplorA-Pond: 6th Grade Area and Random Number Tables
Sixth graders estimate surface area of a pond using a random number table.
Mathwire
Shape Investigation: Area and Perimeter
Does a shape's perimeter always match its area? Learners approach this and other claims in this shape investigation worksheet. Using blank grids, they draw various shapes based on required perimeter and area measurements, labelling the...
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...
PBS
Garden Grade 6 Area and Perimeter
Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry activity. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden...
Curated OER
Location, Location, Location: Using a Grid to Determine Context
Seventh graders are introduced to making inferences about artifacts. Using a grid system, they locate the artifacts and determine where they originated from. They use this information to make conclusions about the way people lived...
Curated OER
Area and Perimeter: Santa Style
What a fantastic resource! The class practices finding the area and perimeter of various regular and irregular shape by first counting the grid squares inside each shape, and then by using the traditional formula. The process is fully...
5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
Curated OER
Area Applet
Elementary math classes calculate the area of a shape and explain the correlation between the size of the perimeter and the areas that can be contained within that perimeter. They also explain the effect the shape of the perimeter has on...
National Wildlife Federation
Quantifying Land Changes Over Time Using Landsat
"Humans have become a geologic agent comparable to erosion and [volcanic] eruptions ..." Paul J. Crutzen, a Nobel Prize-winning atmospheric chemist. Using Landsat imagery, scholars create a grid showing land use type, such as urban,...
Alberta Learning
Area and Perimeter of Irregular Shapes
Evaluate young mathematicians' understanding of area and perimeter with this series of three assessment tasks. Challenging students to not only calculate the area and perimeter of irregular shapes, but to explain in writing their...
Curated OER
Learning by Logic - Total Surface Area
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.
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...
Math Mammoth
Area- Perimeter- Volume
In this geometry worksheet, students use a grid to draw 3 different rectangles that have an area of 20 square units and determine the perimeter of each rectangle. They draw and answer questions related to the relationships and uses of...
Curated OER
Maximize area
For this subscription-based activity, algebra learners model changes in the length and width of a rectangle to determine the maximum area possible for a given perimeter and solve several application problems involving area, included in...