Transcript Chapter 2 Power Point

Entry Task 10/03/2012
5.)
6.)
7.)
Algebra 1
Section 2.1
Objective: Graph and compare
real numbers using a number line.
Vocabulary
Real Number- all numbers except imaginary numbers
 Real Number Line- a horizontal line used to picture real
numbers
 Origin- the point labeled zero on the number line
 Integers- whole numbers plus the opposite of each whole
number and zero
 The opposite of a number is the number that is the same
distance from zero on the other side of the number line.
 Ex. The opposite of 2.5 is -2.5
 The absolute value of a number is the distance that number
is from zero on the number line. Absolute value of x is
notated x
 the absolute value of -2.3 is 2.3 and the absolute value of 4
is 4.

Graphing Real Numbers

Graph the numbers 2 and -4 on the number line
Opposite of a Number
The opposite of a number is the number that is
the same distance from zero on the other side of
the number line.
 Ex. Find the opposite of 2.5

The opposite of 2.5 is -2.5
Absolute Value
The absolute value of a number is the
distance that number is from zero on the
number line. Absolute value of x is notated
 Find the absolute value of -2.3 and 4.

The absolute value of -2.3 is 2.3 and the absolute
value of 4 is 4.
x
Entry Task 10/04/2011
Get out your notebook.
 You may use:

– A calculator
– Your notebook
– Your knowledge folder

When you are done work on finishing 1.7 and
2.1
Entry Task 10/09/2012
Entry Task 10/06/2011
1.) write the statement as an expression “3 more than
the product of 4 and a number n.”

write the sentence as an equation or inequality
2.) “Fourteen plus the product of twelve and a
number y is less than or equal to fifty.”
3.) A number x squared plus forty-four is equal to the
number x to the fourth power times three.

Describe the domain and range of the function
y=2x-4
Algebra 1
Section 2.2 and 2.3
Objectives: Add real numbers and
subtract real numbers.
Properties of Addition
write these down and then come up with an
example for each
Commutative Property- The order in which two
numbers are added does not change the sum.
i.e. a+b = b+a
 Associative Property- The way you group
addition does not change the sum. i.e. (a+b)+c
= a+(b+c)
 Identity Property- The sum of a number and 0
is the number. i.e. a+0 = a
 Inverse Property- the sum of a number and
the opposite of the number is 0. i.e. a+(-a) = 0

Subtraction Rule

To subtract b from a, add the opposite of b to a.
i.e. a - b = a + (-b)

Example: 3 – 5 = 3 + (-5) = -2
Using a number line to add or
subtract
To add a positive number move right on the
number line
 To add a negative number move left.
 To subtract turn the expression into an addtion
expression.


Find -2 + 5 using a number line
-2 + 5 = 3
Another Example

find the difference: 4 - 3
First turn it into an addition problem: 4 + (-3)
Then use the number line to do the addition
Home Fun

Worksheet 2.2 and
worksheet 2.3
Quiz Retake
Get out your math notebook
 Get out your knowledge folder
 Make sure there is at lease 1 foot between
you and your neighbor.
 Make sure you have a pencil, calculator
and eraser to take the quiz.

Home Fun

Worksheet 2.2 and worksheet 2.3

If finished do real numbers worksheet
Entry Task 10/10/2011
Section 2.5
Objective: Multiply real numbers
Multiplication Patterns

Negative times a Negative is positive

Positive times Positive is positive

Positive times Negative is negative

Negative times Positive is negative
Multiplication Properties

Multiplication is Associative and
Commutative (see definitions in last
section).

The Multiplicative Identity is 1, so
anything times 1 is that number back

Property of Zero: the product of any
number and zero is zero
Examples

(16)(-x) = -16x

(4)(v)(v)(v)(-v) = -4v4

(-8)(n)4(-n)3 = 8n7
Homework
Worksheet
2.5
Chapter 1 test
Get out your math notebook
 Get out your knowledge folder
 Make sure there is at lease 1 foot between
you and your neighbor.
 Make sure you have a pencil, calculator
and eraser to take the quiz.

Entry Task 10/13/2011
Distributive Property

The distributive property is a way to
multiply numbers even when there are
parenthesis and we can’t do the stuff
inside. It is as follows.
a(c+b)= a(c)+a(b)
Or
a(c-b)= a(c)-a(b)
For example:
2(4-x) = 2(4)-2(x)= 8-2x
Home Fun
2.6
practice B
Entry Task 10/22/2012
Vocabulary
Reciprocal- The product of a number and
its reciprocal is 1
 Example:


so
is the reciprocal of 3

To divide a number a by a nonzero
number b, multiply the reciprocal of b
Examples
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5.)
Entry Task 10/18/2011
If you are retaking the Chapter 1 test:
Get out your math notebook
 Get out your knowledge folder
 Make sure there is at lease 1 foot between you and
your neighbor.
 Make sure you have a pencil, calculator and eraser to
take the quiz.

If you received an A then you may do
anything you want that is a quiet activity.