Do Now 9/24/09Do Now 9/24/09 Take out your HW from last night.Take out your HW from last night.

Text p. 99-100, #14-24 even, #32-50 evenText p. 99-100, #14-24 even, #32-50 even

Copy HW in your planner.Copy HW in your planner. Text p. 113, #4-40 evenText p. 113, #4-40 even Cumulative Test “open-book & notes” Chapters 1-2 tomorrowCumulative Test “open-book & notes” Chapters 1-2 tomorrow Chapter 2 TEST WednesdayChapter 2 TEST Wednesday

Get your calculator from the back of the room. In your journal answer the following Get your calculator from the back of the room. In your journal answer the following questions regarding the figures below: questions regarding the figures below:

44 66

66

A= 16A= 16 A = 4²A = 4²

A= 36A= 36A = 6²A = 6²

44

What is the area for each figure?What is the area for each figure?

What are the dimensions for each What are the dimensions for each figure?figure?

Write an equation for area of the Write an equation for area of the figure?figure?

Can you think of an equation Can you think of an equation

for ONE side of the figure?for ONE side of the figure?

HomeworkHomeworkText p. 99-100, #14-24 even and 32-50 evenText p. 99-100, #14-24 even and 32-50 even

14) -2w² - 7w14) -2w² - 7w 16) 3y² - 18y16) 3y² - 18y 18) -3/4p + 3/418) -3/4p + 3/4 20) 5/6r² - 5/6r20) 5/6r² - 5/6r 22) terms: 9, 7y, -2, -5y; like terms: 9 & -2, 7y & -5y; 22) terms: 9, 7y, -2, -5y; like terms: 9 & -2, 7y & -5y;

coefficients: 7 & -5; constants: 9 & -2coefficients: 7 & -5; constants: 9 & -2 24) terms: -3y², 3y², -7, 9; like terms: -3y² & 3y², -7 & 9; 24) terms: -3y², 3y², -7, 9; like terms: -3y² & 3y², -7 & 9;

coefficients: -3, 3; constants: -7, 9coefficients: -3, 3; constants: -7, 9

32) 6 – 4c32) 6 – 4c 34) 14t + 434) 14t + 4 36) -5v – 636) -5v – 6 38) 30 – 4z38) 30 – 4z 40) P = 2v + 16; A = 5v +15 40) P = 2v + 16; A = 5v +15 42) P = 2x + 5.4; A = 2.1x + 1.2642) P = 2x + 5.4; A = 2.1x + 1.26 44) $19.9544) $19.95 46) $74.5046) $74.50 48) 3(x-2) – (x+10); 2x – 16 48) 3(x-2) – (x+10); 2x – 16 50) s = -a + 60; 5850) s = -a + 60; 58

HomeworkHomeworkText p. 99-100, #14-24 even and 32-50 evenText p. 99-100, #14-24 even and 32-50 even

ObjectiveObjective SWBAT find square roots, and compare SWBAT find square roots, and compare

real numbersreal numbers

Section 2.7 “Find Square Section 2.7 “Find Square Roots and Compare Numbers”Roots and Compare Numbers”

If If b² = ab² = a then then bb is the is the square rootsquare root of of aa..

TheThe SQUARE ROOTSQUARE ROOT of a number is of a number is denoted by the symbol , which denoted by the symbol , which is called ais called a radicalradical. .

39 radicandradicand

Square Roots All positive real numbers have two square roots, a

positive and negative square root.

The symbol is read as “plus or minus” and refers to both the positive and negative square root.

39 416 10100 The square of an integer is called a perfect squareperfect square.

100102 81)9( 2 6482

Not PERFECT???Not PERFECT???

The square root of a whole number that is NOT a perfect The square root of a whole number that is NOT a perfect

square is an square is an IRRATIONAL NUMBERIRRATIONAL NUMBER..

?10

numbers that cannot be written as a quotient (fraction, ratio) of two integers and the decimal neither terminates nor repeats.

To find the square root of a To find the square root of a number that is not a perfect squarenumber that is not a perfect squareestimate or use a calculator to find the estimate or use a calculator to find the square root. square root.

...162276601.310

Evaluate each square root. Round your roots to Evaluate each square root. Round your roots to the nearest hundredth.the nearest hundredth.

SOLUTIONSSOLUTIONS

Use the button on Use the button on your calculator for your calculator for square roots of square roots of numbers.numbers.

841)1 103)2

45.2

6)3

29

841)1

15.10

103)2

6)3

Approximate each square root to the nearest integer.Approximate each square root to the nearest integer.

SOLUTIONSSOLUTIONS

To approximate a square, think To approximate a square, think the closest perfect square to the the closest perfect square to the number under the radical sign.number under the radical sign.

80)1 122)2

2

3)3

9

80)1

11

122)2

3)3

“ “Real Numbers”Real Numbers”

Real NumbersReal Numbers

Rational NumbersRational Numbers

IntegersIntegers

Whole Whole NumbersNumbers

Whole NumbersWhole Numbers 0,1,2,3,4,5…0,1,2,3,4,5…

IntegersIntegers-3,-2,-1, 0,1,2,3…-3,-2,-1, 0,1,2,3…

Rational NumbersRational Numbers numbers that cannumbers that canrepresented as a represented as a ratio or fractionratio or fraction

0, bb

aIrrational NumbersIrrational Numbers

Irrational NumbersIrrational Numbers √√22 =1.414213…=1.414213…

--√14=-3.74165…√14=-3.74165…

HomeworkHomeworkText p. 113, #4-40 evenText p. 113, #4-40 even

Chapter 2 TEST

Section 2.1- Integers and Rational NumbersSection 2.1- Integers and Rational Numbers

)10

2(7.2

Section 2.2- Adding Real Numbers Addition Properties

Section 2.3- Subtracting Real Numbers

)3(10

)23(18)32(18

Section 2.4- Multiplying Real NumbersSection 2.4- Multiplying Real Numbers Properties of multiplicationProperties of multiplication )23(82)38(

Section 2.7- Square Roots Section 2.7- Square Roots

81

Section 2.5- The Distributive PropertySection 2.5- The Distributive Property

Use the distributive property to write an equivalent expressionUse the distributive property to write an equivalent expression

2(2x+7)

Section 2.6- Dividing Real NumbersSection 2.6- Dividing Real Numbers

Simplify the expressionSimplify the expression

Chapter 2 Test

7

2835 x