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Complexity Madness
Discuss different techniques for finding the area of a geometric shape, with a great visual guide. Using a real life example, learners calculate the area of a rectangle and a square.
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Pick's Theorem
In this Pick's Theorem instructional activity, students solve and graph 6 different problems that include using Pick's Theorem to solve. First, they use Pick's Theorem to determine the area of the shapes given as well as their own shapes...
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Countdown Challenge: Tangrams
In this tangram worksheet, learners find the area of each tangram shape. Afterwards, they name each piece and find the area of combined figures. This one-page worksheet contains approximately 25 problems.
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Pacing a Gunther Chain
Students pace a Gunther Chain, a measurement used by foresters to determine distance and area. They discuss that pacing is individualized depending on age, gender, etc. They practice to find an average pace. Teams estimate, pace and...
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Perimeter
Students study about perimeter and the units used to measure perimeter using a variety of materials including their hands, feet, rulers, and computer applets. They understand such attributes as length, area, weight, volume, and size of...
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Fill and Wrap It Up
Students find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
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Geometry Finding Pentominoes
Learners explore the characteristics of geometric shapes. In this geometric shapes activity, students use tiles to draw pentominoes. Learners participate in various learning center activities focused on configuring pentominoes.
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Does Your Rectangle Have Guts?
Does it? Kids find the perimeter and area of different shapes to assess whether their rectangle has guts. In addition to finding the area of a rectangle, learners work to find the area of a trapezoid. All worksheets are included.
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Try Tessellation
Most middle schoolers probably feel that quilting is at best an activity left to their grandmothers. This lesson uses the Zome modeling system to get them to realize how shapes in quilting are really tessellations and repeating patterns....
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Complexity Madness
After introducing the concept and formula for finding the area of a square, try this lesson. Fifth graders will use their prior knowledge to break apart various shapes in order to determine area. This lesson includes several examples,...
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Cap-It to the Max
Eighth graders compare the volume of three cylinders constructed from the same size sheet of paper. They use concrete and graphical models to derive formulas for finding perimeter, circumference, area, and volume of two and three...
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Connecting Formulas Related to Geometric Figures
Students identify diagrams of quadrilaterals and circles by different names and classify the figures. They name the areas for each diagram and practice solving the formulas for each.
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Measurement: Cylinders
Math scholars observe and demonstrate how to calculate the surface area and volume of cylinders. They analyze pictures of various cylinders on a handout, solve problems on two worksheets independently, and discuss the answers to the...
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Calico Watercolor Cats
A fun art project, this lesson incorporates math and listening skills as young artists play with a new painting technique. First the teacher models how to draw a cat using shapes, an oval for the body, triangles for the ears and so on,...
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Linear, Square, and Cubic Units
Linear, square, and cubic units are all investigated as different types of packages are measured. The teacher will need supplies such as a box of aluminum foil, a package of ribbon, and a bag of mulch. The class determines the...
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Which Chocolate Is The Biggest?
Students investigate the concepts of area and perimeter with the use of chocolate bars. They calculate the perimeter and area of different size rectangle chocolate bars and record the statistics. Then students make a visual comparison...
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Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
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Turn UP the Volume!
Eighth graders find the surface area and volume of the figures and enter formulas into the spreadsheet to calculate surface area and volume for the given figures. They also find the volume and determine the shape which has the least...
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Pythagorean Theorem
In this measurement lesson, learners examine the Pythagorean Theorem, perimeter, and areas of right triangles. They record their measurements and research their findings on a grid.
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Three Rubber Bands
Stretch your mind about triangles. Given a triangle, scholars consider a smaller triangle formed when they stretch three rubber bands from each vertex to the opposite side. They determine the ratios of the areas and perimeters of the...
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Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
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Calculate Area Using Shaded Grids
In this area worksheet, students calculate area of shapes using shaded grids, writing answers in cube units. A reference web site is given for additional activities.
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Visualizing Multiplication
Upper graders represent multiplication of a two-digit number by a two-digit number as the area of a rectangle with dimensions of the two factors. They find patterns for the number of different base ten blocks in a rectangle representing...
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Cylinder: Student Worksheet
Pairs of geometry whizzes work together to determine which of three differently shaped cylinders will have the greatest volume. Pupils cut out the three rectangles embedded in the plan, and tape them together to form a cylinder. From...