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Geometric Figures
Students compare, classify and calculate the area of geometric figures such as rectangles, squares, circles and triangles.
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Power Question 2
In this math worksheet, students determine the locus of points, M, in plane ABC, such that KMAB=KMAC. They also draw the triangle ABC. Then determine the proof of the interior angles determining the identity of the equilateral triangle.
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Geo Jammin' By DeSign - Day 2, Lesson 7: Start At Square One
Students examine new shape possibilities by combining two and four triangles using manipulatives.
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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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Modeling Permutation Group
Students explore the concept of transformations. In this transformations lesson, students construct an equilateral triangle and a square with a circumscribed circle. Students reflect and rotate their constructions.
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Care Homework #2
In this Care Homework worksheet, students solve a variety of multiple digit addition, subtraction, multiplication, and division problems that include fractions, decimals, and percentages. They demonstrate knowledge of geometric formulas...
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Measurement
Seventh graders measure surface area. In this geometry lesson plan, 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...
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The Trappings of Trapezoids
Students define trapezoids and their shapes. In this geometry lesson, students calculate the area of a trapezoid and a parallelogram. They use Cabri software to make investigations.
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Pythagorean Theorem
In this Pythagorean theorem worksheet, students use the Pythagorean theorem to find the missing side of the triangle. Students complete 10 problems.
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Topos, Compasses, and Triangles, Oh My!
Young scholars triangulate using a compass, topographical (topo) map and a view of outside landmarks. They take a field trip to another location away from school and mark discernible landmarks (like mountains or radio towers) and changes...
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Math: Equal Area Triangles
Students examine a math worksheet and determine how to divide a single triangle into four of equal area. Using geometric principles, they sketch two additional ways to divide into into four equal triangles. To conclude, students...
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Colorful Triangles
Students make colorful triangles known as Sierpinski's Carpet, using colored pencils and paper.
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Exploring Special Segments in Triangles
Students discover that four special segments have a common intersection point. They identify the position of the intersection point in triangles. They produce conjectures about areas of the divided triangles.
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Dilations of 2 and 3 dimentional figures and their effect on area, surface area, and volume.
Seventh graders investigate the area and volume of 2D and 3D figures. In this geometry instructional activity, 7th graders create a storyboard explaining their knowledge of 2D and 3D shapes. They analyze their data and interpret...
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Cover the Triangle
Students explore geometric shapes using pattern blocks. They use specific shapes to fill in triangles, color-in their solutions, and discuss the results with a partner.
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THE AREA OF A CIRCLE
Students examine the relationship between circumference and diameter and how to use the formula to find the area of a circle. In this circle lesson students divide into groups and complete an activity.
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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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Area of Parallelograms
Seventh graders review the process of finding the area of a rectangle and complete a couple of examples as a class. They discuss what a parallelogram is and what the formula would be for finding its area. They listen to an explanation...
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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...
Center for Innovation in Mathematics Teaching
Vectors
Investigate vectors and learn how to use them. Explore why size and direction, as well as knowing speed and distance, are important components of the vector problems you are trying to solve. This is an extensive lesson which includes six...
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this...
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Worksheet 8 - Vectors
In this vector worksheet, students find the area of a parallelogram spanned by vectors, they give the geometric and algebraic definitions of the dot product and describe a sequence of vectors. This one-page worksheet contains six...
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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...
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Calico Watercolor Cats
A fun art project, this instructional activity 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...
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