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Variable Version

Unit 3 ● Lesson 14 ● Activity 1

What do you notice? What do you wonder?

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Warm-up: Notice and Wonder

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Proving the Pythagorean Theorem

Unit 3

Lesson 14

Similarity

GEOMETRY

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Unit 3 ● Lesson 14

I can prove the Pythagorean Theorem.

Learning

Targets

Geometry

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Proving the Pythagorean Theorem

Unit 3 ● Lesson 14

Pythagorean Theorem: If a right triangle has legs with lengths a and b

and hypotenuse with length c, then a² + b² = c². (Theorem)

a² + b² = c²

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Lesson Synthesis

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Prove Pythagoras Right

Unit 3 ● Lesson 14 ● Activity 2

What is the area of one blue triangle shown?

What is the area of the large outside square?

What is the area of the yellow square?

NOTE: Large square - 4 triangles = small square

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Applying Pythagoras

Find the length of the side marked “x”. Round to the nearest tenth.

6

Cool-down

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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The Converse of the Pythagorean Theorem

Unit 3 ● Lesson 14

Converse of the Pythagorean Theorem: If a triangle with side lengths a and b and longest side c, and a² + b² = c² then the triangle is a right triangle

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Lesson Synthesis

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Test it Out

Unit 3 ● Lesson 14 ● Activity 4

Is this triangle a right triangle? Explain.

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Lesson Synthesis

Cool-down