Entry Task 10/03/2012

Entry Task 10/03/2012Entry Task 10/03/2012

5.)

6.)

7.)

Algebra 1Algebra 1Section 2.1Section 2.1

Objective: Graph and Objective: Graph and compare real numbers using compare real numbers using

a number line.a number line.

VocabularyVocabulary Real Number- all numbers except imaginary numbersReal Number- all numbers except imaginary numbers Real Number Line- a horizontal line used to picture real Real Number Line- a horizontal line used to picture real

numbersnumbers Origin- the point labeled zero on the number lineOrigin- the point labeled zero on the number line Integers- whole numbers plus the opposite of each Integers- whole numbers plus the opposite of each

whole number and zerowhole number and zero The opposite of a number is the number that is the The opposite of a number is the number that is the

same distance from zero on the other side of the same distance from zero on the other side of the number line.number line.

Ex. The opposite of 2.5 is -2.5Ex. The opposite of 2.5 is -2.5 The absolute value of a number is the distance that The absolute value of a number is the distance that number is from zero on the number line. Absolute number is from zero on the number line. Absolute value of x is notated value of x is notated

the absolute value of -2.3 is 2.3 and the absolute the absolute value of -2.3 is 2.3 and the absolute value of 4 is 4.value of 4 is 4.

x

Graphing Real NumbersGraphing Real Numbers

Graph the numbers 2 and -4 on the number Graph the numbers 2 and -4 on the number lineline

Opposite of a NumberOpposite of a Number The opposite of a number is the number The opposite of a number is the number

that is the same distance from zero on the that is the same distance from zero on the other side of the number line.other side of the number line.

Ex. Find the opposite of 2.5Ex. Find the opposite of 2.5

The opposite of 2.5 is -2.5

Absolute ValueAbsolute Value

The absolute value of a number is the The absolute value of a number is the distance that number is from zero on the distance that number is from zero on the number line. Absolute value of x is number line. Absolute value of x is notated notated

Find the absolute value of -2.3 and 4.Find the absolute value of -2.3 and 4.

x

The absolute value of -2.3 is 2.3 and the absolute value of 4 is 4.

Entry Task 10/04/2011Entry Task 10/04/2011 Get out your notebook.Get out your notebook. You may use:You may use:

– A calculatorA calculator– Your notebookYour notebook– Your knowledge folderYour knowledge folder

When you are done work on finishing When you are done work on finishing 1.7 and 2.11.7 and 2.1


Describe the domain and range of the Describe the domain and range of the function y=2x-4function y=2x-4

1.) write the statement as an expression “3 more 1.) write the statement as an expression “3 more than the product of 4 and a number n.”than the product of 4 and a number n.”

write the sentence as an equation or inequalitywrite the sentence as an equation or inequality

2.) “Fourteen plus the product of twelve and a 2.) “Fourteen plus the product of twelve and a number number y is less than or equal y is less than or equal to fifty.”to fifty.”

3.) A number 3.) A number x squared plus forty-four is equal to x squared plus forty-four is equal to the number x to the fourth the number x to the fourth power times three.power times three.

Algebra 1Algebra 1Section 2.2 and 2.3Section 2.2 and 2.3

Objectives: Add real numbers Objectives: Add real numbers and subtract real numbers.and subtract real numbers.

Properties of AdditionProperties of Additionwrite thesewrite these down and then come up with down and then come up with

an example for each an example for each Commutative Property- The order in which Commutative Property- The order in which two numbers are added does not change the two numbers are added does not change the sum. i.e. a+b = b+asum. i.e. a+b = b+a

Associative Property- The way you group Associative Property- The way you group addition does not change the sum. i.e. (a+b)addition does not change the sum. i.e. (a+b)+c = a+(b+c)+c = a+(b+c)

Identity Property- The sum of a number and 0 Identity Property- The sum of a number and 0 is the number. i.e. a+0 = ais the number. i.e. a+0 = a

Inverse Property- the sum of a number and Inverse Property- the sum of a number and the opposite of the number is 0. i.e. a+(-a) = the opposite of the number is 0. i.e. a+(-a) = 00

Subtraction RuleSubtraction Rule To subtract b from a, add the opposite of b to a. i.e. a - b = a + (-b)To subtract b from a, add the opposite of b to a. i.e. a - b = a + (-b)

Example: 3 – 5 = 3 + (-5) = -2Example: 3 – 5 = 3 + (-5) = -2

Using a number line to add Using a number line to add or subtractor subtract

To add a positive number move right on the number lineTo add a positive number move right on the number line To add a negative number move left.To add a negative number move left. To subtract turn the expression into an addtion expression.To subtract turn the expression into an addtion expression.

Find -2 + 5 using a number lineFind -2 + 5 using a number line

-2 + 5 = 3

Another ExampleAnother Example

find the difference: 4 - 3find the difference: 4 - 3

First turn it into an addition problem: 4 + (-3)Then use the number line to do the

addition

Home FunHome Fun

Worksheet 2.2 Worksheet 2.2 and worksheet and worksheet 2.32.3

Quiz RetakeQuiz Retake

Get out your math notebookGet out your math notebook Get out your knowledge folderGet out your knowledge folder Make sure there is at lease 1 foot Make sure there is at lease 1 foot

between you and your neighbor.between you and your neighbor. Make sure you have a pencil, Make sure you have a pencil,

calculator and eraser to take the calculator and eraser to take the quiz.quiz.

Home FunHome Fun

Worksheet 2.2 and worksheet 2.3Worksheet 2.2 and worksheet 2.3

If finished do real numbers If finished do real numbers worksheetworksheet

Objective: Multiply real Objective: Multiply real numbersnumbers

Section 2.5Section 2.5

Multiplication PatternsMultiplication Patterns

Negative times a Negative is positiveNegative times a Negative is positive

Positive times Positive is positivePositive times Positive is positive

Positive times Negative is negativePositive times Negative is negative

Negative times Positive is negativeNegative times Positive is negative

Multiplication PropertiesMultiplication Properties Multiplication is Associative and Multiplication is Associative and

Commutative (see definitions in last Commutative (see definitions in last section).section).

The Multiplicative Identity is 1, so The Multiplicative Identity is 1, so anything times 1 is that number backanything times 1 is that number back

Property of Zero: the product of any Property of Zero: the product of any number and zero is zeronumber and zero is zero

ExamplesExamples

(16)(-x) = -16x(16)(-x) = -16x

(4)(v)(v)(v)(-v) = -4v(4)(v)(v)(v)(-v) = -4v44

(-8)(n)(-8)(n)44(-n)(-n)33 = 8n = 8n77

HomeworkHomework

Worksheet Worksheet 2.52.5

Chapter 1 testChapter 1 test

Get out your math notebookGet out your math notebook Get out your knowledge folderGet out your knowledge folder Make sure there is at lease 1 foot Make sure there is at lease 1 foot

between you and your neighbor.between you and your neighbor. Make sure you have a pencil, Make sure you have a pencil,

calculator and eraser to take the calculator and eraser to take the quiz.quiz.

Distributive PropertyDistributive Property The distributive property is a way to The distributive property is a way to

multiply numbers even when there multiply numbers even when there are parenthesis and we can’t do the are parenthesis and we can’t do the stuff inside. It is as follows.stuff inside. It is as follows.

a(c+b)= a(c)+a(b)a(c+b)= a(c)+a(b)

OrOr

a(c-b)= a(c)-a(b)a(c-b)= a(c)-a(b)

For example:For example:

2(4-x) = 2(4)-2(x)= 8-2x2(4-x) = 2(4)-2(x)= 8-2x

Home FunHome Fun

2.6 practice B2.6 practice B

VocabularyVocabulary

Reciprocal- The product of a number Reciprocal- The product of a number and its reciprocal is 1and its reciprocal is 1

Example: Example:

so is the reciprocal of 3so is the reciprocal of 3

To divide a number To divide a number aa by a nonzero by a nonzero number number bb, multiply the reciprocal of , multiply the reciprocal of bb

ExamplesExamples

5.) 5.)

Entry Task 10/18/2011Entry Task 10/18/2011If you are retaking the Chapter 1 test:If you are retaking the Chapter 1 test: Get out your math notebookGet out your math notebook Get out your knowledge folderGet out your knowledge folder Make sure there is at lease 1 foot between you and Make sure there is at lease 1 foot between you and

your neighbor.your neighbor. Make sure you have a pencil, calculator and eraser Make sure you have a pencil, calculator and eraser

to take the quiz.to take the quiz.

If you received an A then you may do If you received an A then you may do anything you want that is a quiet anything you want that is a quiet activity.activity.

Entry Task 10/03/2012

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