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Converse Pythagorean Theorem Proof Notes and Test Practice

Converse Pythagorean Theorem Proof Notes and Test Practice preview
Converse Pythagorean Theorem Proof Notes and Test Practice preview

Look Inside · 6 pages · answer key included

Teacher letter citing standard 8.G.B.6 and listing example problems, test practice problems and answer keys
Read first: contents overview and suggested lesson order
Pythagorean theorem and converse notes: fill-in definitions, find a missing square's area, spot the right triangle
Guided notes to complete together as a class
Examples 3 and 4: students use square roots to find missing sides and areas, then find a tilted square's area on a grid
Worked examples to model before independent practice
Test practice questions 1-6: multiple choice on missing square areas, which squares form a right triangle, theorem wording
Assessment prep: first set of test-style questions
Test practice questions 7-10: a right triangle with a² = 36 m² and b = 6 m; students find side a, areas and length c
Second set of test-style questions using one shared figure

Answer key included

Answer key included
Attributes
Grades

Grade 8

File

PDF

Editable
No
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About This Product

This resource was developed to meet the requirements of the 8th Grade Geometry Standard below:

CCSS.MATH.CONTENT.8.G.B.6
Explain a proof of the Pythagorean Theorem and its converse.

Note: It does NOT contain a reference to the Pythagorean theorem formula, however this serves as a building block between the concrete and abstract.

This resource is MOST EFFECTIVE when used after an introductory activity and/or practice manipulating squares to form right triangles.

What's Included

It contains the following resources:

1) Pythagorean Theorem Proof & Converse: 4 Example Problems

2) Pythagorean Theorem Proof & Converse: 10 TEST PRACTICE Problems

3) Answer Keys

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