Mz. H: 2014

Orbit Integers
Click Play
Type 'NG Your Name'
Click Private
Find the first person in your row and click join
The password is 1111

Integer Fruit Shooter

Integer Basket

PARCC

ALGEBRA NOTES

LESSON 1.1 EVALUATING EXPRESSIONS

ALGEBRAIC DEFINITION OF SUBTRACTION: (add-op)

a - b = a + -b ex) 5 - 2 = 5 + -2 = 3 4 - -10 = 4 + 10 = 14

ALGEBRAIC DEFINITION OF DIVISION:

a divided by b = a/b = a * 1/b

ASSOCIATIVE PROPERTY (addition and multiplication): move the groupings

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

(ab)c = a(bc) ex) (1.735 * 25) *4 = 1.735 * (25 * 4) = 173.5

TRANSITIVE PROPERTY

If a = b and b = c then a = c ex) if .5 = 50% and 50% = 1/2 then .5 = 1/2

PEMDAS- Order of operations

LESSON 1.2 PATTERNS

INSTANCE- Example *numbers*

PATTERN- general idea *variable*

instance

ex1) (5 + 8) + 10 = 5 + (8 + 10) ex2) 2 * 5 = 5 + 5

(2 + 7) + 9 = 2 + (7 + 9) 2 * 3 = 3 + 3

(4 + 2 ) + 6 = 4 + ( 2 + 6) 2 * .7 = .7 + .7

pattern

(x + y) + n = x + (y + n) 2 * a = a + a

pattern

ex3) wp = pw

instances

7*4 = 4*7

5*6 = 6*5

.8* 7 = 7*.8

COMMUTATIVE PROPERTY (addition and multiplication)

switch the order

LESSON 1.3 PATTERNS

sequence- a collection of numbers/objects in a specific order

terms- objects of the sequence

*if 2 expressions yield the same results they are equivalent

counterexample- an instance that proves the pattern is not true

LESSON 1.4 PICTURING EXPRESSIONS

scatterplot- graph with individual points not connected

connected graph use when there is a measure being graphed (length, time, area, or weight)

domain all the values that may be meaningfully substituted for the variable

set grouping numbers or objects {use the brackets}

roster {list}

set builder notation {x: x < 7}

name of set (domain)	description	elements
whole numbers	{0, 1, 2, 3, ...}	5, 16/2, 7 million, 0
integers	{...-2, -1, 0, 1, 2 ...} whole #’s and their opposites (no parts/pcs)	-21/3, -17.00, 50
real numbers	set of all numbers	0, .3, -3.001, 4, ∏
non-negative real numbers	pos set of numbers and 0 {x: x > 0}	0, 3.2, 6000