92 terms

ADDING AND SUBTRACTING FRACTIONS

1) Must have COMMON DENOMINATOR

2) SIMPLIFY

2) SIMPLIFY

MULTIPLYING FRACTIONS

1) Multiply straight across

2) SIMPLIFY

2) SIMPLIFY

DIVIDING FRACTIONS

1) KEEP, CHANGE, FLIP

2) Multiply straight across

3) SIMPLIFY

2) Multiply straight across

3) SIMPLIFY

PERCENT OF A NUMBER

1) Change percent to decimal

2) Multiply

2) Multiply

TIP

Use percent of a number to find tip

ADD tip to original price for final price

ADD tip to original price for final price

SALES TAX

Use percent of a number to find sales tax

ADD tax to original price for final price

ADD tax to original price for final price

DISCOUNT

Use percent of a number to find amount of discount

SUBTRACT discount from original price for final price

SUBTRACT discount from original price for final price

SIMPLE INTEREST

I=PRT

P - Principal

R - Interest Rate

T - Time (must be in years)

P - Principal

R - Interest Rate

T - Time (must be in years)

ABSOLUTE VALUE

the distance a number is from zero

ALWAYS positive

ALWAYS positive

ADDING INTEGERS

3 Methods

1) number line

2) t chart

3) color chips

1) number line

2) t chart

3) color chips

ZERO PAIRS

positive + negative

SUBTRACTING INTEGERS

1) KEEP, CHANGE, CHANGE (add the opposite)

2) Use addition method

2) Use addition method

MULTIPLYING AND DIVIDING INTEGERS

1) SAME sign = POSITIVE

2) DIFFERENT sign - NEGATIVE

2) DIFFERENT sign - NEGATIVE

POSITIVE WORDS

above, rise, increase, up, over, deposit, higher

NEGATIVE WORDS

below, fall, dropped, decrease, down, under, withdraw, lower

PROPORTIONS

a statement that two ratios are equiavalent

*solving - set up rations (label)

cross multiply and solve

*solving - set up rations (label)

cross multiply and solve

RATIO

a comparison of two different numbers

SCALE

a ratio comparing two different units

QUADRILATERALS

4 sided polygon

PARALLELOGRAM

opposite sides parallel and congruent

RECTANGLE

parallelogram with four right angles

RHOMBUS

parallelogram with four congruent sides

SQUARE

paralelogram with 4 right angles and 4 congruent sides

TRAPEZOID

exactly one pair of parallel sides

POLYGON

simple closed figure

regular - all sides and angles are equal

irregular - sides and angles are NOT equal

regular - all sides and angles are equal

irregular - sides and angles are NOT equal

PENTAGON

5 sides and angles

HEXAGON

6 sides and angles

HEPTAGON

7 sides and angles

OCTAGON

8 sides and angles

NONGAON

9 sides and angles

DECAGON

10 sides and angles

CONGRUENT

same size and shape

SIMILAR

same shape, different size

SIMILAR FIGURES

corresponding sides are proportional

CORRESPONDING

matching

COORDINATE PLANE

X and Y axis

4 Quadrants

4 Quadrants

ORDERED PAIR

address

(X, Y)

(X, Y)

ORIGIN

(0, 0)

TRANSLATION

slide

VERTEX

point where 2 line segments intersect

ROTATION

turn

REFLECTION

mirror image

DILATION

enlaregement or reduction

FRACTION TO DECIMAL

divide

DECIMAL TO PERCENT

move the decimal point TWO places to the RIGHT

PERCENT TO DECIMAL

move the decimal point TWO places to the LEFT

DECIMAL TO FRACTION

write it like you say it (place values)

SIMPLIFY

SIMPLIFY

PERCENT TO FRACTION

put percent over 100

SIMPLIFY

SIMPLIFY

SCIENTIFIC NOTATION

3 parts

1) number - (less than 10, greater than 1)

2) base - (ALWAYS 10)

3) exponent - (positive for numbers greater than 1, negative for numbers less than 1)

1) number - (less than 10, greater than 1)

2) base - (ALWAYS 10)

3) exponent - (positive for numbers greater than 1, negative for numbers less than 1)

ORDER OF OPERATIONS

KING G - grouping symbols

QUEEN E - exponents

PRINCE M & D - multiplication and division (whoever is 1st in line)

PRINCESS A & S - addition and subtraction (whoever is 1st in line)

QUEEN E - exponents

PRINCE M & D - multiplication and division (whoever is 1st in line)

PRINCESS A & S - addition and subtraction (whoever is 1st in line)

COMMUTATIVE

order

ASSOCIATIVE

grouping

IDENTIFY

same

INVERSE

opposite

recirpocal - flip the fraction

recirpocal - flip the fraction

DISTRIBUTIVE

share

MULTIPLICATIVE PROPERTY OF ZERO

any number multiplied by zero is zero

PERIMTER

distance around - add up all the sides

*fence, border

*fence, border

AREA

number of square units need to cover

*USE CORRECT FORMULA

*USE CORRECT FORMULA

AREA OF IRREGULAR FIGURES

1) identify the shape

2) divide into shapes we know

3) find the missings sides

4) find the area of each shape

5) add the areas

2) divide into shapes we know

3) find the missings sides

4) find the area of each shape

5) add the areas

PERIMETER OF IRREGULAR FIGURES

1) identify the shape (number of sides)

2) find missing sides

3) ADD up ALL sides

2) find missing sides

3) ADD up ALL sides

ARITHMETIC SEQUENCE

add or subtract the SAME number

that number is the COMMON DIFFERENCE

that number is the COMMON DIFFERENCE

GEOMETRIC SEQUENCE

multiply or divide the SAME number

that number is the COMMON RATIO

that number is the COMMON RATIO

FUNCTION

rule used to generate numbers of a sequence

input/output

input/output

EQUATION

must have an equal sign

EXPRESSION

no equal sign

INEQUALITY

a statement that one quantity is greater than or less than another

COEFFICIENT

number in front of a variable

VARIABLE

an unknown quantity

X, Y, N

X, Y, N

ADDITION WORDS

plus, more than, increase, sum

SUBTRACTION WORDS

minus decrease, decrease, difference, LESS THAN, SUBTRACTED FROM

MULTIPLICATION WORDS

times, product, of, each

DIVISION WORDS

quotient, into, groups, split, cut, euqal parts

EQUAL SIGN

is, equal to, totals

SOLVING EQUATIONS

1) box in your variable

2) inverse operations (on variable side first)

3) do the SAME THING to the other side (STAY BALANCED)

4) CHECK your answer

2) inverse operations (on variable side first)

3) do the SAME THING to the other side (STAY BALANCED)

4) CHECK your answer

SOLVING INEQUALITIES

1) box in your variables

2) inverse operations (on the variable side first)

3) do the SAME THING to the other side (STAY BALANCED)

4) *If you multiply or divide by a NEGATIVE number, you must FLIP THE SIGN for it to remain true

5) CHECK your answer

2) inverse operations (on the variable side first)

3) do the SAME THING to the other side (STAY BALANCED)

4) *If you multiply or divide by a NEGATIVE number, you must FLIP THE SIGN for it to remain true

5) CHECK your answer

SURFACE AREA

total area of the faces - USE FORMULA

*completely cover, wrap, all the way around

*completely cover, wrap, all the way around

VOLUME

number of cubic units needed to fill a figure - USE FORMULA

*capacity, fill, hold, full, how much inside

*capacity, fill, hold, full, how much inside

THEORECTICAL PROBABILITY

what we expect to happen

formula -

formula -

EXPERIMENTAL PROBABILITY

what actually happens

formula -

formula -

LAW OF LARGE NUMBERS

as the number of trials increase, the experimental probability gets closer to the theorectical

FUNDAMENTAL COUNTING PRINCIPLE

multiply the number of choices

TREE DIAGRAMS

shows possibly combinations

MEAN

average - add all numbers and divide

MEDIAN

middle

if there are two, add them and divide by two

if there are two, add them and divide by two

MODE

mose frequent

can be one, more than one, or no mode

can be one, more than one, or no mode

RANGE

difference between highest and lowest number

FREQUENCY DISTRIBUTION

show how often something occurs using talley marks

LINE PLOT

shows frequency of data on a number line

*can easily find range, mode, and outlies

*can easily find range, mode, and outlies

HISTOGRAM

has consecutive and equal intervals

*bars must touch

*bars must touch

SCATTERPLOT

shows trens/relationships

positive

negative

no trend

stays the same

positive

negative

no trend

stays the same

BOX AND WHISKER

4 sections - each 25% of data

5 labels - lower extreme, lower quartile, median, upper quartile, upper extreme

5 labels - lower extreme, lower quartile, median, upper quartile, upper extreme

INTERQUARTILE RANGE

difference between upper quartile and lower quartile