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Notes: Simplest Radical Form
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Examples: Put each number in simplest radical form
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Objectives Rigor: Use Pythagorean to solve real world applications; write answers in simplest radical form Relevance: calculate lengths and distances of triangular objects and paths.
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Turn to page 223 in the workbook and complete examples 1 & 2.
Put answers in simplest radical form before rounding!
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Pythagorean Theorem Algebraic Proof
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Example 1: Using the Pythagorean Theorem
Find the value of x.
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Example 2: Using the Pythagorean Theorem
Find the value of x. Leave answer in simplest radical form. 6
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Example 3: Dimensions Randy is building a rectangular picture frame. He wants the ratio of the length to the width to be 3:1 and the diagonal to be 12 centimeters. How wide should the frame be? Round to the nearest tenth of a centimeter.
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Example 4: Dimensions Sean wants to buy a new TV. He was looking at a 65in TV that had an aspect ratio of 4:3. His entertainment center has a 4.5ft by 4ft rectangular space for a TV. Will a 65in TV fit in that space?
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A set of three nonzero whole numbers a, b, and c such that a2 + b2 = c2 is called a Pythagorean triple.
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Example 5: Identifying Pythagorean Triples
Find the missing side length. Tell if the side lengths form a Pythagorean triple. Explain.
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5-7 Classwork Workbook pg 225 #11 – 12 Workbook pg 226 ALL
Don’t rip this out of your workbook. Page 225 is the secondary assignment and I don’t want you to lose it!
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Honors: 5-7 Assignment Primary Assignment: Due Tuesday
Website: join.quizizz.com Codes: Period 2: Period 4: Period 6: Secondary Assignment: Workbook pg 225 #1 – 10
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Standard: 5-7 Assignment
Primary Assignment: Due Tuesday Website: join.quizizz.com Codes: Period 1: Period 5: Period 7: Secondary Assignment: Workbook pg 225 #1 – 10
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