The Pythagorean Relationship

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Grade 8: The Learning Equation Math

32.01 The Pythagorean Relationship

3icon.gif (4368 bytes)

3D Objects & 2D Shapes

Refresher pp 54-55

Learning Outcomes:

The student will:

use concrete materials and diagrams to develop the Pythagorean relationship.

History of Pythagoras

source: pytha1

Drag the red point.
Press "Define" button.
Drag five pieces of quadrilaterals to fit in the square below.

source: Sample Files and Pythagorean Relationship

Let's agree again to the standard convention for labelling the parts of a right triangle. Let the right angle be labelled C and the hypotenuse c. Let A and B denote the other two angles, and a and b the sides opposite them, respectively.

Review:

Pythagorean Puzzle - Shockwave
Pythagorean Theorem
Cinderella: Pythagoras' theorem
Pythagorean Theorem - several applets!!
Proof of the Pythagorean Theorem

Key Terms:

right angle, isosceles triangle, scalene triangle, equilateral triangle, right triangle, vertex, angle, side, hypotenuse, square number, square root, Pythagorean relationship

Prerequisite Skills:

Classify triangles according to the measures of their angles.

Grade 7 Lesson 3204.htm

Define and use power, base, and exponent to represent repeated multiplication.

Grade 8 Lesson 1101.htm

Add, subtract, multiply, and divide decimals.

Multiplication of Decimals: Grade 7 Lesson 12.01
Division of Decimals: Grade 7 Lesson 12.02

Compute square roots of whole numbers and decimals.

Solve and verify first degree equations.

Linear Equations (Two step solutions): Grade 8 Lesson 2203.htm

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