Curated OER
Length, Perimeter and Area
Learners analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationship
Curated OER
Pythagorean Theorem
Learners are introduced to the Pythagorean theorem. They use three different activities that give students the opportuntiy to observe triangles, and use the Pythagorean theorem and practice different ways of determining areas of...
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Shapes and Their Insides
Learners follow a series of instructions for drawing and coloring different shapes in order to learn the difference between the perimeter and area of a polygon. Then they are asked to find the perimeter and area of a 3x4 rectangular...
Curated OER
Area, Perimeter, Circumference
Sixth graders use different measuring tools to measure area, perimeter, and circumference of different shapes. For this measurement lesson plan, 6th graders measure parallelograms, triangles, and circles.
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Pythagoreum Theorem
Learners practice assessing how to apply the formulas for the area of parallelograms and triangles. They recount the contributions of Pythagoras and apply the theories of the Pythagorean theorem in a group project to calculate the...
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Similar Polygons
In this similar polygons instructional activity, 10th graders solve 10 different problems that include determining various similar polygons. First, they determine the perimeter of a second triangle given the measures of all angles in the...
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In the Path of the Ancients: Unearthing Formulas for Area
Students apply the formulas for the area of parallelograms and triangles. Through guided practice, students discover the correct way to apply the formulas. Working in pairs, they write their own problems featuring the formulas.
Curated OER
Geometry: Area
Students visit various websites to calculate the area of circles, triangles, rectangles, trapezoids, and parallelograms. They explore math problems and play interactive games dealing with geometry.
American Statistical Association
Exploring Geometric Probabilities with Buffon’s Coin Problem
Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.
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Shattered Images Value Study
Young scholars create cubist drawings using grids and enlargement.
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Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Shodor Education Foundation
Pythagorean Theorem
Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...
Curated OER
Proofs of the Pythagorean Theorem
Working individually and collaboratively, geometers gain a clear understanding of the Pythagorean theorem. They create, explain, and compare proofs of the theorem. Proofs involve areas of trapezoids, squares, and triangles, congruent...
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Interior Designer for a Day
Seventh graders organize a 20 x 17 room with a given set of furniture pieces. Arrangement is to be based on maximum comfort and practicality. This lesson is a good way to teach and reinforce the mathematical concept of area.
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Measurement
Seventh graders measure surface area. In this geometry lesson, 7th graders find the surface area of various geometrical shapes. Using a computer program, students compute the area of 2-D and 3-D shapes. Students use graph paper to trace...
Curated OER
Fractals Teachers' Notes
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
Curated OER
Area and Perimeter
Students participate in a hands-on activity that shows the independence of perimeter and area for simple irregular figures.
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Pythagorean Theorem
Students explore how the Pythagorean Theorem works and how to apply it.
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Pick's Theorem
Students investigate polygons and their lattice. In this calculus lesson, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the interior lattice.
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The Right Angle
For this algebra worksheet, 11th graders solve word problems creating a right triangle. Students determine the point and direction this turn of ninety degrees occurs. There are 4 questions with an answer key.
Mathed Up!
Enlargements
Make enlargements with and without centers. Pupils work through seven problems dealing with dilations or enlargements. The first couple items are strict enlargements without centers, while the others have centers. Class members also...
Curated OER
Measurement: Lesson 2
Eighth graders complete math problems given in this lesson, where they find the perimeter and area of specific figures. They estimate the perimeter and area of shapes and figures and then complete the mathematical formula to find the...
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Pythagorean Triples
Middle schoolers investigate the mathematical concepts related to the study of The Pythagorean Theorem. They graph and review how to use a line segment to construct a triangle. Then using the theorem students calculate the length of the...
Curated OER
SAT Practice Test
For this online, interactive worksheet, students solve ten SAT preparation problems in 12 minutes. The problems vary in difficulty and content.