Chapter 9 Real Numbers and Right Triangles

Pre Algebra

Table of Contents

• 9.1- Square Roots• 9.2- Simplifying Square Roots• 9.3- The Pythagorean Theorem• 9.4- The Real Numbers• 9.5- The Distance and Midpoint Formulas• 9.6- Special Right Triangles• 9.7- The Tangent Ratio• 9.8- The Sine and Cosine Ratios

Pre Algebra (bell work)9.1

1. Define Square root, read the rest

9.1 Square Roots

Pre Algebra

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• A construction worker building a skyscraper accidentally drops a bolt from a height of 500 feet.

• Use the equation d = 16t2 to determine the time t, in seconds, that it takes the bolt to hit the ground below

9.1

HW pg. 455

• 9.1-– 1, 3-6, 11-24, 45-51 (Odd), 59-62, 70-81 (Odd)

9-1

Pre Algebra (Bell work)9-2

9.2 Simplifying Square Roots

Pre Algebra

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Pre Algebra (Bell work)9-2

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HW pg. 460

• 9.2-– Day 1: 1, 3, 4, 9-14, 29-32, 35-41 (Odd)– Day 2: 5-9, 15-26, 46, 47-Ch: 27

9-2

Pre Algebra (Bell work)

1. Read pg. 462/463 on your own

9.3

9.3 Pythagorean Theorem

Pre Algebra

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9-3 Practice

Pre Algebra (Bell work)

1. Read the following statement below

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9-3

HW pg. 467

• 9.3-– Day 1: 1, 3-12, 37-42, 44– Day 2: 13-21, 32

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9.4 Real Numbers

Pre Algebra

Pre Algebra (Bell work)

1. Read the information below and define irrational number and real numbers

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9.4 HW

• Pg. 472

• 1: 1, 3-23 (Odd), 32, 33, 35, 45-51 (Odd)

9.5 The Distance and Midpoint Formulas

Pre Algebra

Pre Algebra (Bell work)

1. Read the top of pg. 4762. Copy the formula below

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9.5 HW

• Pg. 479

• 1-17 Odd, 19 – 26, 33-38, 43, 44, 56-58,

Pre Algebra (Bell work)1. Read

2. Copy

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9.6 Special Right Triangles

Pre Algebra

9-6

-Alexa is buying paving stones to lay along a diagonal path across her square lawnWhich is 17 feet on each side. To the nearest tenth of a foot, what is the length of the path?

9-6

1. Read

2. Copy

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(Bell work)1. Copy2. Try on your own

-The corner shelf in Shawn’s bathroom is a 45°-45°-90° triangle.

The longest edge of the shelf is about 17 inches long.

Find the lengths of the two shorter sides

9-6

9.6 HW

• Pg. 485

• 1: 1-5, 7-9, 27-29

• 2: 6, 10-19, 22-25

• (TEC) Brain Game pg. 475

Pre Algebra (Bell work)

1. Read the intro on pg. 4892. Copy the formula below

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9.7 The Tangent Ratio

Pre Algebra

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9.7 HW

• Pg. 491

• 1-9, 11-17 Odd, 18-21, 23, 28, 32-35• Bonus Brain Game pg. 493

9-7

Pre Algebra (Bell work)1. Read the intro pg. 494

2. Copy the formulas below

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9.8 The Sine and Cosine Ratios

Pre Algebra

S ineO ppositeH yptenuseC osineA djacentH yptenuseT angetO ppositeA djacent

This will helpYou remember your trig values

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Pre Algebra (Bell work)9-8

HW 9.8• Pg. 497

• 1: 1-15, 30-35

• 2: 16-22, 24-26, 36-39

• Combined: 1-22, 24-26, 30-39

• Review pg. 500, 10-20, 28-33