The Pythagorean Theorem. Prerequisites Learners should already know: - Calculation rules - Meaning of the math power and of the square root - Flat figures.

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Presentation transcript:

The Pythagorean Theorem

Prerequisites Learners should already know: - Calculation rules - Meaning of the math power and of the square root - Flat figures proprieties - The concept of equivalence between flat figures Learns should be already able to: - Calculate math powers of a number - Calculate square root of a number

Learning Outcomes To Be Able To To Be Aware To Know - The statement of the Pythagorean theorem - Situations and polygons where the Pythagorean theorem can be used. - Implement the Pythagorean theorem in right triangles. - Implement the Pythagorean theorem in polygons. That the Pythagorean Theorem can be implemented even in other polygons and not just in right triangle.

Resources used for the lesson To help the learners’ understanding of contents is used the interactive multimedia board.

Vocabulary Revisited nouns: Familiar flat figures (triangle, square, rectangle, trapezoid, rhombus) New nouns: Triangle elements (hypotenuse, legs) Other elements (diagonal, height, side, base) New communicative verbs: To check To calculate To find out To demonstrate

Historical Link: Who was Pythagoras? Pythagoras of Samos was a Greek philosopher, mathematician, and founder of the religious movement called Pythagoreanism. Most of the information about Pythagoras was written down centuries after he lived, so very little reliable information is known about him. Pythagoras made influential contributions to philosophy and religion in the late 6th century BC. He is often revered as a great mathematician, mystic, and scientist and is best known for the Pythagorean Theorem which bears his name.

The Pythagorean Theorem The Pythagorean Theorem states that: “the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. ” a 2 + b 2 = c 2

Let’s implement the formula Solve the following problems 1. A triangle has a short leg with a lenght of 9cm. The other lenght is twice as long. How long is the hypotenuse? 2. Jane’s father is making a brick base for the garden shed. The outside edges have to be 3,5m and 2.5m long. How can he check that the base is rectangular? h=leg b=leg d=hypotenuse rectangle

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