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Getting it Right! An Investigation of the Pythagorean Theorem

For Teachers 5th - 8th
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the...
Worksheet
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Pythagoras' Theorem

For Students 5th - 10th
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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Pythagoras's Theorem

For Teachers 5th - 6th
Learners explore Pythagoras' Theorem. In this geometry lesson, students complete 4 pages of equations using Pythagoras's Theorem. Learners complete 14 problems.
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Gougu Rule or Pythagoras' Theorem

For Teachers 5th
Fifth graders explore Pythagoras' Theorem. They examine the pattern linking the length of the hypotenuse of a right angled triangle and the length of the other two sides. Students find an unknown side in right angled triangles.
Worksheet
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Pythagorean Theorem

For Students 5th - 10th
In this Pythagorean theorem worksheet, students use the Pythagorean theorem to find the missing side of the triangles. Students complete 8 problems total.
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Pythagorean Theorem

For Students 5th - 7th
In this Pythagorean Theorem worksheet, students find the lengths of sides for 8 triangles. A website reference for additional activities is given.
Worksheet
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Pythagorean Theorem

For Students 4th - 5th
In this Pythagorean Theorem worksheet, students find the length of sides of a set of 8 triangles. A website reference for additional activities is given.
Worksheet
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Pythagorean Theorem

For Students 4th - 6th
In this Pythagorean Theorem worksheet, learners find length of sides for 8 triangles.  A website reference is included for additional resources.
Worksheet
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Pythagorean Theorem

For Students 4th - 6th
In this Pythagorean Theorem worksheet, students find lengths of sides of 8 triangles. A website reference for additional resources is given.
Lesson Plan
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You Can't Go Wrong with a Right Triangle 1

For Teachers 4th - 5th
Fourth and fifth graders study the Pythagorean Theorem and apply it to find the missing side of a right triangle.
Lesson Plan
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Introducing Trig

For Teachers 5th
Fifth graders explore the importance of triangles in the real world. They find the unknown side of a right triangle using a scale drawing. Students use Pythagoras' Theorem and other appropriate ratios.
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Geometry In the Yard

For Teachers 5th - 7th
Learners are responsible for creating a border around a triangular garden spot, of which they know the measurements for two sides. They use the Pythagorean Theorem to calculate the third side and complete the garden.
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Investigating Triangles 1

For Teachers 5th - 6th
Students independently investigate the Pythagorean Theorem. They are given a set of triangles that involve whole number Pythagorean Triples. The main focus of the lesson is exploration rather than discovering the Pythagorean Theorem.
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Investigating the Idea of Sin

For Teachers 5th
Fifth graders use sin to solve problems involving right-angled triangles, Solve equations of the form sin(++) = a, for a between -180++ and 360++. They State and graph the value of sin(++) in special cases. They describe some of the ways...
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Plenty of Pythagoras

For Teachers 5th - 8th
Using a twelve foot knotted rope, learners form a 3-4-5 right triangle. Following a discussion of observations about the lengths of the sides of the triangle, students use grid paper, scissors and a centimeter ruler to draw and measure...
Lesson Plan
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Ruler and Compass Constructions

For Teachers 4th - 5th
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
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Tilted Squares and Right Triangles

For Teachers 5th - 6th
Students investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
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Rings and Diamonds

For Teachers 5th
Fifth graders solve a problem by using systematic problem solving strategies. They determine if there is enough information to solve the problem. They solve a problem involving geometric shapes and area.
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Right Triangles

For Teachers 4th - 8th
Learners classify triangles and make connections regarding angle measurements and attributes of acute, right, and obtuse triangles. They listen to teacher define and explain triangles. Everyone imagines a place where a broken wing for a...
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Using Trigonometry

For Teachers 5th
Fifth graders explore the use of trigonometry to find unknown sides and angles in right-angled triangles, taking the concepts that were developed in the previous unit and looking at different ways of practicing the new skills. Students...
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Dizzy Heights

For Teachers 5th
Fifth graders explore ways to measure the height of an inaccessible object. They measure lengths using a tape measure or ruler. Students measure angles using a protractor and estimate heights.
Lesson Plan
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Investigating the Idea of Tan

For Teachers 5th
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
Lesson Plan
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Trigonometric Applications Outside the Classroom

For Teachers 5th
Fifth graders describe and demonstrate how trigonometry can be used to find the height of a tall building or tree. They describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where...
Lesson Plan
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Investigating the Idea of Cos

For Teachers 5th
Fifth graders use cos to solve problems involving right-angled triangles. They solve equations of the form cos(++) = a, for a between -180 and 360 degrees. They state the value of cos(++) in special cases and graph y = cos(++).

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