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Lesson Plan
Curated OER

Proof of the Pythagorean Theorem Using Transformations

For Teachers 9th - 12th Standards
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
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Interactive
Curated OER

Pythagorean Theorem

For Students 9th
In this Pythagorean theorem worksheet, 9th graders solve and complete 8 different types of problems. First, they go to the given website and copy the picture shown. Then, students draw a right triangle using the straight line between the...
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Lesson Plan
Curated OER

Investigating Segments in a Right Triangle

For Teachers 9th - 12th Standards
High schoolers explore the concept of right triangles as they construct a right triangle using Cabri Jr. Learners find the midpoint of the hypotenuse and construct a line from the midpoint to the vertex of the right angle. They then...
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Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 8th
Eighth graders draw right triangles and identify the parts of a right triangle: right angle, interior and exterior angles, hypotenuse and legs. They predict and identify any relationships that exist between the sides of a right...
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Worksheet
Curated OER

Right Triangles

For Students 10th
In this right triangles worksheet, 10th graders solve 10 different problems that include various right triangles. First, they find the value of a base given its hypotenuse. Then, students determine an angle given the perimeter and...
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Worksheet
Curated OER

Pythagorean Theorem

For Students 9th
In this Pythagorean theorem worksheet, 9th graders solve and complete 6 various types of problems. First, they find the length of a right-angled triangle's hypotenuse. Then, students determine which triangle is described and explain...
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Lesson Plan
Curated OER

The Pythagorean Theorem

For Teachers 9th - 11th
Students create both a visual and formal proof of the Pythagorean theorem, as well as view four additional geometric demonstrations of the theorem. They construct a square and conjecture the following theorem: The sum of the areas of...
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Lesson Plan
Curated OER

Right Triangles

For Teachers 7th - 8th
In this right triangles worksheet, students solve and complete 2 different types of problems. First, they take the case of an isosceles right triangle with a given leg and hypotenuse. Then, students find the sum of the squares of the...
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Lesson Plan
Curated OER

Altitude to the Hypotenuse

For Teachers 9th - 12th Standards
Can your class solve right triangles and identify the properties common to right triangles? They will investigate and state the relationship between the altitude to the hypotenuse and the two segments of the hypotenuse formed by the...
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Worksheet
Curated OER

Ratios Involving the Hypotenuse

For Students 10th
In this trigonometry worksheet, 10th graders calculate the ratios as it relates to the hypotenuse of the triangle. They find the missing leg, angle or hypotenuse. There are 6 questions with this worksheet.
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Lesson Plan
Curated OER

30-60-90 Right Triangles in Cabri Jr.

For Teachers 9th - 12th Standards
Young mathematicians draw and label right triangles using Cabri Jr. technology. They create other special right triangles and identify the length of the hypotenuse and each leg. Students explore the ratios to determine how the hypotenuse...
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Worksheet
Raytheon

Understanding Triangles

For Students 6th - 8th
In this understanding triangles worksheet, middle schoolers read 6 pages of examples and explanations about identifying triangles, determining length of sides and degrees of angles, including the hypotenuse, then answer 28 questions,...
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Worksheet
Curated OER

Calculating the Hypotenuse

For Students 6th - 7th
In this triangles worksheet, students use Pythagoras' theorem to find the hypotenuse of a triangle. Students solve 20 problems and also calculate the length of the diagonals in rectangles. This page is intended for online use but may be...
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Worksheet
Curated OER

How Fast Can You Watch?

For Students 8th - 12th
In this watch worksheet, pupils read story problems and determine the change in the distance with respect to time. They compute the radians per second. This two-page worksheet contains nine multi-step problems.
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Worksheet
Curated OER

Number Sense and Numeration: Square Roots

For Students 8th
In this square roots learning exercise, 8th graders solve 14 different types of problems to include determining the square root of a number of problems, determining the area of a rectangle and the length of a side of a square with the...
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Interactive
CK-12 Foundation

Sine, Cosine, and Tangent Functions: Lighthouse

For Students 9th - 12th Standards
How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances stemming...
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Worksheet
Curated OER

Right Triangles

For Students 10th
For this right triangles worksheet, 10th graders solve 10 different problems that include determining the means proportionally in each right triangle. First, they use the given information to determine the measure of each line segment....
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Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 8th
Eighth graders use formulas to solve Pythagorean Theorem problems. They explore the hypotenuse, adjacent angles and legs of a triangle. Given any two integers in a problem, 8th graders identify and complete Pythagorean triples.
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Worksheet
Curated OER

Pythagorean Theorem Word Problems

For Students 10th
In this Pythagorean theorem worksheet, 10th graders solve 10 different word problems that include using the Pythagorean theorem in each. First, they determine the height of an equilateral triangle. Then, students determine the length of...
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Lesson Plan
Curated OER

Extra Practice 44: Solving Problems Using Quadratic Equations

For Teachers 9th - 10th
In this quadratic worksheet, students read short stories, write quadratic equations and use their problem solving skills to solve the equation. Students use the Pythagorean Theorem to find the length of a diagonal, dimensions of a...
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Worksheet
Curated OER

Right Triangle Stuff

For Students 12th - Higher Ed
In this right triangle activity, students use trigonometric ratios to find the hypotenuse, right angle, opposite leg and angles. This one-page activity contains eight problems. Answers are provided at the bottom of the page.
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Worksheet
Curated OER

The Pythagorean Theorem

For Students 9th
In this Pythagorean theorem worksheet, 9th graders solve and complete 16 different problems that include using the Pythagorean theorem to solve each one. First, they find each missing measure given the hypotenuse of a right triangle....
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Lesson Plan
Curated OER

Discover the Pythagorean Theorem

For Teachers 6th - 8th
Middle schoolers explore the Pythagoras theorem. In this geometry lesson, students make right triangles and identify the parts of the triangle. Middle schoolers complete measurements of the sides of the triangle.
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Lesson Plan
Curated OER

Basic Trigonometric Ratios

For Teachers 11th - 12th
In this trigonometric ratio worksheet, students determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the bottom...

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