Annenberg Foundation
Geometry 3D Shapes: Surface Area and Volume
Whether you wrap it or fill it, you're using geometric concepts. Classmates use an interactive approach to learn how to find volume and surface area of cylinders and prisms in the second lesson in a five-part series. The online lesson...
Curated OER
Mapping the Bone Field: An Area and Scale Exercise
Here is an excellent cross-curricular lesson. 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.
Curated OER
Area of Regions
In this area of regions worksheet, students determine the area of a region enclosed by a graph. They find the volume of a solid and write equations involving an integral expression for given conditions. This two-page worksheet contains...
Curated OER
Surface Area and Volume Warm-up
Learners draw the given shapes to be bigger than they are and find the surface area and volume of each shape. They complete this for two shapes.
Curated OER
PowerPoint on Area - 5th Grade
A nice presentation on how to calculate area awaits your 5th graders. The interactive component is quite good. Learners view a variety of shapes on a grid, calculate the area, and type in what type of polygon it is. Some effective...
Curated OER
Area and Perimeter
Another good presentation by Christine Berg is here for you. In it, learners are coached on definitions of area and perimeter and are shown how to perform calculations for both. They also see how to calculate the area of a triangle by...
Curated OER
Coordinate Grid: Area and Circumference of Circles
Here is a geometry activity in which learners plot the points of a circle onto a coordinate grid and proceed to calculate the area or circumference of the circle. There are four questions.
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 than...
Common Core Sheets
Determining Rectilinear Area
Third graders find the area of rectilinear shapes by partitioning them into two non-overlapping rectangles and adding the areas of the non-overlapping parts together. It allows learners to recognize area as an additive.
Common Core Sheets
Finding Area by Tiling
Third graders find area by tiling a rectangle based on the given side lengths. This helps learners visualize and create the area of a figure. From here, they can count the total number of tiles inside the rectangle to find the answer.
Common Core Sheets
Determining Area with Partial Blocks
A more challenging set of worksheets, third graders are required to measure area by counting whole and partial unit squares. Students will realize that two partial blocks make up one whole block. Each shaded figure is on a square unit grid.
Mrs. Glosser's Math Goodies
Perimeter & Area Worksheet 1
Test your mathematicians' skills with this full page of area and perimeter problems. Find the area and perimeter of different shapes including squares, parallelograms, trapezoids, and octagons. The formulas are not provided, so this...
Mrs. Glosser's Math Goodies
Perimeter & Area Worksheet 2
Alternate between area and perimeter with this instructional activity, practicing both concepts with different shapes. Problems include examples with parallelograms, octagons, squares, rectangles, and trapezoids. The formulas are not...
Mrs. Glosser's Math Goodies
Perimeter & Area Worksheet 3
There are many different polygons, so give your learners a learning exercise that practices area and perimeter on the various shapes. This full-page learning exercise includes problems with hexagons, trapezoids, squares, parallelograms,...
Curated OER
Who Wants to Be a Champion: Perimeter, Area, Symmetry
Have your learners practice finding the perimeter and area of geometric shapes using this resource. While just a simple review, this could be a wonderful way to solidify the concepts in their minds.
CK-12 Foundation
Area Between Curves: Income and Expenses
Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the...
Illustrative Mathematics
Area of a Trapezoid
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...
Savvas Learning
Area of Squares and Rectangles, Alternative Lesson
Find the area of squares and rectangles and discuss square inches and square centimeters with your young geometers. Follow the example provided, and then let learners try it for themselves! They will find the area of seven rectangles.
Curated OER
Area, Surface, and Volume
Ninth graders demonstrate application of area, surface, and volume in the world around us by applying formulas to a model of the classroom so they can determine the volume and surface area of the room.
Curated OER
Scale Drawing: Perimeter and Area of a Room
Using a scale drawing with some dimensions missing, aspiring do-it-yourself homeowners calculate the remaining sides of a compound-shaped room. They apply the principles of ratio and proportion to determine how much crown molding will be...
Curated OER
Area and Perimeter of Gardens
Learners read two word problems, observe diagrams of four gardens, and find the areas and perimeters. Pupils solve four questions.
Pennsylvania Department of Education
Volume and Surface Area
Build boxes using unit cubes to compare surface area and volume. The group performs multiple experiments to determine properties of volume, such as if it makes a difference which order the dimensions are multiplied in. Extensive...
Digital Lesson
Cereal Box Surface Area
How much math can your learners pour out of a cereal box? Your middle schoolers will explore their favorite cereal and calculate the surface area, volume, and weight ratios and log this information on the provided worksheet. They get to...
Willow Tree
Surface Area of Three-Dimensional Figures
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
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