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Extra Review
In this quadratic formula worksheet, students solve and complete 22 different types of problems. First, they solve each equation by completing the square and applying the quadratic formula. Then, students graph each function provided and...
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Introduction to Fractals: Geometric Fractals
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
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Inequalities
In this inequalities instructional activity, 10th graders solve and complete 23 various types of problems. First, they find the area of an inscribed square in a circle shown. Then, students find the total area of the inscribed polygon...
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Tangram Puzzles
Young scholars explore the origin of tangram. In this algebra lesson, students form different shapes and figures using tangram. They solve for the area of different shapes without using any geometric formulas, but the idea of tangram...
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Geometry Exploration Basic Trig Functions
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the...
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Discovering Pi
Students relate Pi to a circle. In this circles lesson, students identify the different properties of two dimensional objects. They relate Pi to the circumference, diameter and area of a circle .
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Basic Theorems and Proofs
In this pre-calculus learning exercise, 11th graders recall the three forms of the law of cosines and used it to solve problems involving triangles. They also write out the laws of sines and use those to solve problems with angles. There...
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Circles and Cylinders
In this circles and cylinders worksheet, 10th graders solve and complete 22 various types of problems. First, they collect data for a radius and circumference for several different circles and calculate the quantity. Then, students find...
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Pythagorean Theorem
Students solve problems using the Pythagorean Theorem. In this geometry lesson,students identify the right angle, hypotenuse and legs of a right triangle. They find the missing sides using the ratios of the Pythagorean theorem.
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Law of Sines and Cosines
Students solve problems using sine and cosine. In this precalculus lesson, students apply the properties of sine and cosine to solve non-right triangle problems. They use Heron's Law to find the area of a shape.
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Geometry Review
Seventh graders explore basic geometric definitions involving angles, area, and circumference. To reinforce basic geometric concepts, they play a "lightning Flash" card game. Students discuss chores or jobs that require the use of...
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Parachutes: Is it Surface Area or Shape?
Students investigate how to make a good parachute. In this physics lesson, students observe the motion of parachutes as it falls and measure the time. They collect data and calculate the average descent time for each canopy shape.
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Using Polynomials To Find Perimeter
Fifth graders engage in the solving of a real life application problem using the concept of calculating perimeter. They apply the operations of calculating with the polynomials for finding the perimeter of triangles,quadrilaterals, and...
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Ara of Circles
Pupils identify the differentiate the different properties of circles and parallelograms. In this geometry instructional activity, students calculate the area of each solid and identify the formula. They relate Pi to the circumference of...
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The Baby Gate Problem
In this secondary mathematics activity, high schoolers expand a six-panel play yard by two-panels Students determine the width of each panel and the area of the expansion. The one page activity contains one problem with the...
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Shoelace Algorithm
In this shoelace algorithm learning exercise, students determine the area of a triangle when given the coordinates of the vertices. They determine the area of a quadrilateral. Students find the average of the x and y coordinates.
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Why We Study Trigonometry
Students investigate the different properties of trigonometry. In this precalculus lesson, students find the six different identities of trigonometric ratios. They relate the ratios to that of a right triangle and apply it to real life...
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Fences and Posts
Fifth graders use Geoboards to demonstrate how shapes can be made by looping the rubber bands over the nails. They make a triangle on their Geoboards. At least one side of the triangle should be either horizontal or vertical. The picture...
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CSI Investigation
Students solve real life situation using the Pythagorean Theorem. In this geometry lesson, students calculate the length, midpoint and slope of segments. They solve word problems using properties of square roots.
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Functions and Slopes
In this function worksheet, students find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
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Cut It Out
Sixth graders derive an original formula for calculating the area of an irregular figure.
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Hexagoning the Circle
Pupils explore similarity to see that the area of a circle should be a constant times the square of its radius. Students create a hexagon. Pupils share their designs with the class.
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Pythagorean Theorem Investigation
Eighth graders investigate the Pythagorean Theorem and practice applying the theorem to various triangles. Finally, in the next lesson in the sequence, 8th graders create a song or a story to help them remember the Pythagorean Theorem.
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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...