Warm up Warm up

1.2.3.4.5.6.

Identify the property of addition demonstrated by each equation.

1.2.

3.

4.

5.6.

Be seated before the bell rings

DESK

homeworkWarm-up (in your notes)

Quiz – Thursday (today)

Test – next Tuesday 8/18

Agenda:

Warmup Go over hw Quiz Note: 1.3

NotebookTable of content

Page1

1

1) 1-1 Sets of Numbers /1.2 Properties of Numbers

2) 1-3 Square Roots

1-3 Square Roots

Glue in notes

Square root

1 = 1

4 = 2

9 = 3

16 = 4

25 = 5

36 = 6 49 = 7

64 = 8

81 = 9

100 = 10

121 = 11

144 = 12

169 = 13

196 = 14

225 = 15

Square root

1-3 Square Roots

Radical symbol

Radicand

4 2

4 2

4 2 w/o sign in front we want only the positive value

+ indicates the positive value

- In front indicates the negative value

How to estimate Square RootsHow to estimate Square Roots

1.1.

2.2.

3.3.

Find two perfect square the is in between 14 9 16

Find the difference between : 1st & 2nd, 1st & 3rd

55

77

5/7= .714

3.714

Divide the differences

14

Estimate Square RootsEstimate Square Roots

3836 4922

1111

2/11= .18

6.18

One More Try!One More Try!

You Try!You Try!

7 29)b)a

Estimate Square RootsEstimate Square Roots

Product Property of Squares

The product of square roots is equal to the square root of the product.

Example:

Quotient Property of Squares

The quotient of square roots is equal to the square root of the quotient.

Example:

Like RadicalsRadicals that have the same “radicand” (same

number inside the radical) can be combined. Keep radical and add coefficients.

Example of Like Radicals: Unlike Radicals:

Simplify each expression.

Example : Simplifying Square–Root Expressions

A.

B.

C.

D.

More examples

A.

Simplify each expression.

B.

C.

D.

Add.

Adding and Subtracting Square Roots

Subtract.

: Adding and Subtracting Square Roots

Simplify radical terms.

Combine like radical terms.

More Check It Out!

Add or subtract.

Combine like radical terms.

More examples!

Add or subtract.

Simplify radical terms.

Combine like radical terms.

fraction has a denominator that is a square root, you can simplify it by

rationalizing the denominator. If a

Simplify by rationalizing the denominator.

Rationalizing the Denominator

Multiply by a form of 1.

= 2

Simplify the expression.

Rationalizing the Denominator

Multiply by a form of 1.

Check It Out! Example 3a

Simplify by rationalizing the denominator.

Multiply by a form of 1.

Check It Out! Example 3b

Simplify by rationalizing the denominator.

Multiply by a form of 1.

Lesson Quiz: Part I

1. Estimate to the nearest tenth. 6.7

Simplify each expression.

2.

3.

4.

5.

Lesson Quiz: Part II

Simplify by rationalizing each denominator.

6.

7.

8.

9.

Add or subtract.