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Pythagorean Theorem
Need a few extra examples on using the Pythagorean Theorem? Here is a lesson plan that uses pictures of New York City’s buildings as a model, and young architects find the height of the building. Consider adding more examples to further...
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A Real Life Example of the Distance Formula
Students answer the following question: "Using the lines of latitude and longitude, what is the distance (in degrees) if you were to travel from NASA Dryden to NASA Ames?" They use the distance formula to find the distance (measured in...
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Pan's Highway-Saturn's Rings
In this Pan's highway worksheet, students read about the Cassini spacecraft that discovered how Pan clears out the ring debris in the outer A-ring system of Saturn. Students use an image taken by the satellite to find the scale of the...
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Barber Pole
In this geometry learning exercise, learners calculate the length of the rotating stripes around a cylinder. There is an answer key with this problem.
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Semicircles
In this geometry worksheet, 10th graders are presented with a problem involving semicircles. The diagram appears simple, though it turns out to have a many segments to be labeled with variables. The key to solving the problem is...
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Distance in Coordinate Geometry
Students analyze distance and graphing. In this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.
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Charting a New Course
Students calculate the distance they will travel. In this geometry lesson plan, students use the TI and CBL system to make calculation of a certain path. They explore geography by calculating distances between different areas as it...
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Why use the Pythagorean Theorem?
Eighth graders explore the Pythagorean Theorem. In this middle school geometry activity, 8th graders solve problems using the Pythagorean Theorem as they explore the definition of a theorem and attempt to determine the formula for the...
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Applications and Problem Solving Using Quadratic Equations
In this math worksheet, young scholars apply solving quadratic equations using word problems. They pay special attention to the units of measurement.
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Solving Problems Using Quadratic Equations
In this math worksheet, young scholars solve the problems using quadratic equations for each word problem. The example is used for reference.
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Pythagoras' Theorem
In this Pythagoras' Theorem worksheet, students solve problems having to do with square roots and numbers to a certain power. Students match up the answers for 30 problems.
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Dilation
Tenth graders identidy and define various geometry terms, Students create exact replicas of a shape that is either smaller or larger than the original shape. Students prove that their entire shapes are larger or smaller in the same...
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The Pythagorean Theorem
Seventh graders relate the Pythagorean theorem to the real world. In this algebra activity, 7th graders identify important properties of the Pythagorean theorem and use it to solve word problems. They create a step by step plan to help...
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Understanding Fundamental Trigonometric Identities
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
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Ten Multiple Choice Length Problems
In this distance worksheet, students calculate the lengths of sides and diagonals of figures. Students also compute lengths in shadow problems. The solutions are provided by clicking on the "show answers" tab at the bottom of the page.
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The Geometry of Means
In this geometry worksheet, students are given a rectangle and a square. They verify ratios when given equal perimeters or areas. Students are given adjacent squares. They find the distance between the centers, and identify the means...
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The Pythagorean Theorem, the Distance Formula, and Slope
Students explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.
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Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson plan, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
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Calculating Distances in Two and Three Dimensions
Young scholars use the Pythagorean Theorem to solve problems. In this geometry lesson, students solve for the distances by calculating the different parts of the shape of a two and three dimensional shape. They reason by analogy.
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The Math of Science-Squares and Square Roots
In this squares and square roots worksheet, students practice finding the squares of numbers and the square roots of numbers given word problems.
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A Lesson on the Root Spiral
Students create lines and shapes with a compass and a straight edge. In this geometry lesson, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing mathematics and geometric...
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Pythagoras' Theorem
In this Pythagorean Theorem worksheet, students use the Pythagorean Theorem to determine the length of a missing side. They calculate surface area of a prism. This two-page worksheet contains 4 multi-step problems.
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Linear/Planar Geometry - Week 5
In this plane geometry worksheet, students combine the basis of plane geometry and linear problems to solve problems. They determine total surface area, the length of a line, and the sum of the edges of a three-dimensional figure. This...
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Linear/Planar Geometry - Week 5
In this linear and planar geometry worksheet, pupils use the Pythagorean Theorem, equation of a line, slope of a line and area formulas to solve problems. This three-page worksheet contains seven problems.