Vocabulary STAARVocabulary STAAR

REMEMBERREMEMBER

Remember to use Remember to use CUBES CUBES Remember to use your Remember to use your STRATEGIESSTRATEGIES exampleexample: : (make a table, make a (make a table, make a

list, draw a picture, work list, draw a picture, work backwards, think logical reason, backwards, think logical reason, act it out)act it out)

REMEMBERREMEMBER

Remember the Remember the answer choices answer choices tells you want to dotells you want to do

Read the problem twice. Read the Read the problem twice. Read the question twice. question twice.

Remember you are Remember you are answering the answering the question. question.

Remember

Half means divide by 2One-third means divide by 3One-fourth means divide by 4Be careful of numbers written in

wordsExample: two (2), twenty-five (25)John and five (5) friends means 6 people

Remember

33% does not equal 33-1/3%

66% does not equal 66-2/3%

Fraction/Decimal/PercentFraction/Decimal/Percent

Remember think Remember think equivalentequivalentWhen you see a fraction at any time, When you see a fraction at any time,

think of its decimal, and its percentthink of its decimal, and its percentExample: 1/8---.125-----12.5%Example: 1/8---.125-----12.5%1/3----.3333------33 1/3%1/3----.3333------33 1/3%2/3-----.6666-----66 2/3%2/3-----.6666-----66 2/3%1 whole equals 100%1 whole equals 100%2 whole equals 200%2 whole equals 200%

Fraction/Decimal/PercentFraction/Decimal/Percent

When you see a combination of When you see a combination of fraction, decimal, percent in a table:fraction, decimal, percent in a table:

(1) Look at the answer choices….this (1) Look at the answer choices….this will tell you if to convert the problem will tell you if to convert the problem in the table into all fractions, in the table into all fractions, decimals, or percentsdecimals, or percents

Be careful of least to greatest or Be careful of least to greatest or greatest to least greatest to least (circle this very (circle this very dark so you won’t miss it)dark so you won’t miss it)

Fraction/Decimal/PercentFraction/Decimal/Percent

Watch out for the Watch out for the “NOT” “NOT” in the in the questionquestion

5/8 is found between which pair 5/8 is found between which pair Note: 5/8 must be between Note: 5/8 must be between (fall in (fall in

the middle) the middle) in each pair (not equal in each pair (not equal to)to)

Note: this 5/8 can be a decimal or Note: this 5/8 can be a decimal or percent but it is done the same waypercent but it is done the same way

REMEMBERREMEMBERPERCENT think PROPORTIONPERCENT think PROPORTIONRATIO think FRACTION then RATIO think FRACTION then

PROPORTIONPROPORTION““OF” SOMETHING MEANS MULTIPLYOF” SOMETHING MEANS MULTIPLY““AT this rate,….THINK PROPORTIONAT this rate,….THINK PROPORTIONAT the same rate….THINK AT the same rate….THINK

PROPORTIONPROPORTIONPer something….think unit rate (for Per something….think unit rate (for

one)one)

Calculate sale priceCalculate sale price

Multiply by a decimal, fraction, or Multiply by a decimal, fraction, or percentpercent

Model equationModel equation3x + 2 = 173x + 2 = 17

First step: add or subtract on both First step: add or subtract on both sidessides

Second step: multiply or divide on Second step: multiply or divide on both sidesboth sides

Note: do the Note: do the opposite operation opposite operation from from the equation giventhe equation given

Model equationModel equationxxxxx 111 = xxx 1111111xxxxx 111 = xxx 1111111

I will cross out x on left with x on right I will cross out x on left with x on right until there are no moreuntil there are no more

I will cross out 1 on left with 1 on right I will cross out 1 on left with 1 on right until there are no moreuntil there are no more

The x that are left on the left side and The x that are left on the left side and the 1 that are left on right side group x the 1 that are left on right side group x and 1 together equally (as a pair)and 1 together equally (as a pair)

The answer is how many 1’s are paired The answer is how many 1’s are paired with x in each group with x in each group

Model equation using x’s or Model equation using x’s or +, -+, -

If there are positive and negatives on If there are positive and negatives on both sides of the equal sign:both sides of the equal sign:

You can cross out one on the left You can cross out one on the left then one on the right continue the then one on the right continue the pattern until you can not match a pattern until you can not match a positive with a negativepositive with a negative

Whatever is left is your answerWhatever is left is your answer

Model integer additionModel integer addition+++++++-----+++++++-----

write an expressionwrite an expressionYou will write what you see You will write what you see Example: if you see 7 positives and 5 Example: if you see 7 positives and 5

negatives, you will make zero pairs negatives, you will make zero pairs and whatever is left over is your and whatever is left over is your equal to equal to

Answer: Answer: 7 + (-5) = 27 + (-5) = 2

Model equationModel equation

If confusing, then guess and check If confusing, then guess and check Substitute each choice and solveSubstitute each choice and solve

Equation match situationEquation match situation

As you read the choices write the As you read the choices write the operation for each situation operation for each situation

Order of operationOrder of operation

Parenthesis or [ ] Parenthesis or [ ] ExponentExponentMultiply/divide whichever one comes Multiply/divide whichever one comes

first from left to rightfirst from left to rightAdd/subtract whichever one comes Add/subtract whichever one comes

first from left to rightfirst from left to right

Parenthesis or [ ] means to multiplyParenthesis or [ ] means to multiply

INTEGERSINTEGERS + x + = ++ x + = +- x - = +- x - = ++ x - = -+ x - = -- x + = -- x + = --(-6) = +6-(-6) = +6-(7) = -7-(7) = -7Absolute value Absolute value | -3 | | -3 | is always is always ++33Absolute value Absolute value -| -3 |-| -3 |is always is always --33

Integers vocabularyIntegers vocabularyWithdrawal means negativeWithdrawal means negativeDeposit means positiveDeposit means positiveCancellation means negativeCancellation means negativeSubscribe means positiveSubscribe means positiveGain means positiveGain means positiveLoss means negativeLoss means negativeDebt means negativeDebt means negativeCredit means negativeCredit means negativeProfit means positiveProfit means positive

Integers vocabularyIntegers vocabularyElevation means positiveElevation means positiveAscending means positiveAscending means positiveDescending means negativeDescending means negativeBelow sea level means negativeBelow sea level means negativeAbove sea level means positiveAbove sea level means positiveAt the surface means zeroAt the surface means zero

Integers Integers Temperature problems----draw a Temperature problems----draw a

vertical number linevertical number lineArrow pointing up means positiveArrow pointing up means positiveArrow pointing down means negativeArrow pointing down means negative

Integers Integers Remember----move left means Remember----move left means

negative; arrow pointing left; negative; arrow pointing left; numbers getting smallernumbers getting smaller

Remember----move right means Remember----move right means positive; arrow pointing right; positive; arrow pointing right; numbers getting biggernumbers getting bigger

Remember----zero is neither positive Remember----zero is neither positive nor negativenor negative

integers:integers: positive and positive and negative numbers negative numbers

absolute value: absolute value: a number’s a number’s distance from “0” on a distance from “0” on a number line; always positivenumber line; always positive

proportionproportion - An equation that - An equation that states that two ratios are states that two ratios are equivalent.equivalent.

Key words for MultiplicationKey words for Multiplicationof …..somethingof …..somethingfactorfactorhow manyhow manytimes as manytimes as manyin allin alltwicetwiceof …..somethingof …..somethingdoubledoubleproductproduct

Multiply mixed numbers Multiply mixed numbers 3 and 1/23 and 1/2

Change mixed numbers to improper Change mixed numbers to improper fraction (around the world) then fraction (around the world) then multiply across numerator then multiply across numerator then multiply across denominatormultiply across denominator

Key words of DivisionKey words of Division

Per something (think unit rate)Per something (think unit rate)““best buy” (think best buy” (think unit rate unit rate and and do not do not

round decimals)round decimals)Which is cheaper? (think Which is cheaper? (think unit rateunit rate

and and do not round decimals)do not round decimals)

Key words for DivisionKey words for Divisionquotientquotient ratio of ratio ofeach…each… percent percenteach dayeach day cut into cut intohow many pieces how many pieces out of…. out of….per….per…. cut from cut fromaverageaverageseparatedseparatedreducereducedivide or shared equallydivide or shared equally

Divide FractionDivide Fraction

½ ÷ 3/4½ ÷ 3/4 K C FK C F½ x 4/3½ x 4/3Multiply across numerator Multiply across numerator Multiply across denominatorMultiply across denominator

REMEMBERREMEMBERSomething is TO Something….Think Something is TO Something….Think

PROPORTIONPROPORTION

Measure of Data means medium, Measure of Data means medium, mean, mode and rangemean, mode and range

mean: mean: (average) found by (average) found by adding a list of numbers and then adding a list of numbers and then dividing by how many objects are dividing by how many objects are involved involved

median:median: the middle number in a the middle number in a list that is least to greatest (if list that is least to greatest (if there are 2 in the middle, there are 2 in the middle, average them)average them)

Variation means rangeVariation means range

mode: mode: in a list, the number in a list, the number or numbers (if any) that or numbers (if any) that occur the MOST or Most occur the MOST or Most commonly…..commonly…..

range: range: in a list, the highest in a list, the highest minus the lowest number (is minus the lowest number (is ALWAYS positive!)ALWAYS positive!)

Find the mean of missing Find the mean of missing numbernumber

Take the mean grade from the Take the mean grade from the problem and multiply it by the problem and multiply it by the number of grades in the problemnumber of grades in the problem

Take that answer and subtract each Take that answer and subtract each grade grade

After you have subtracted the last After you have subtracted the last grade find that answer in the grade find that answer in the choice…You Got it!choice…You Got it!

Sample space Sample space – all the – all the possible outcomes of an possible outcomes of an experiment. (make a list)experiment. (make a list)

complementary:complementary: 2 or 2 or more angles that add up to more angles that add up to 90 degrees90 degrees

supplementary:supplementary: 2 or 2 or more angles that add up more angles that add up to 180 degrees (130to 180 degrees (130 and and 5050, or 90, or 90 and 90 and 90) s/s) s/s

similar:similar: ( (~) ~) congruent congruent angles, proportional sidesangles, proportional sides

FIND IF SHAPE IS SIMILARFIND IF SHAPE IS SIMILARMAKE SURE YOU MAKE SURE YOU MATCHMATCH THE SIDES OF THE SIDES OF

EACH SHAPE CORRECTLYEACH SHAPE CORRECTLYSET UP PROPORTION AND SOLVESET UP PROPORTION AND SOLVENOTE:NOTE: THE ANSWER CAN BE THE ANSWER CAN BE

PROPORTIONAL OR CAN NOT BE PROPORTIONAL OR CAN NOT BE PROPORTIONALPROPORTIONAL

REMEMBERREMEMBER: WITHIN (MEANS THE : WITHIN (MEANS THE PROPORTION SETUP IS WITHIN THE SHAPE PROPORTION SETUP IS WITHIN THE SHAPE OR BETWEEN (MEANS THE SETUP IS OR BETWEEN (MEANS THE SETUP IS ACROSS THE TWO SHAPESACROSS THE TWO SHAPES

perimeter: perimeter: the distance the distance around the outside; ADD all around the outside; ADD all OUTSIDE pieces be careful of OUTSIDE pieces be careful of irregular figures (irregular figures (do not do not leave leave any sides blank)any sides blank)

area:area: FORMULAS!! the space FORMULAS!! the space inside a 2-d shapeinside a 2-d shape

FFormula ormula SubstituteSubstitute S Solve olve

PERIMETER OF IRREGULAR PERIMETER OF IRREGULAR FIGURESFIGURES

MAKE SURE MAKE SURE ALL SIDES ALL SIDES ON THE ON THE OUTSIDE OF THE FIGURES HAVE A OUTSIDE OF THE FIGURES HAVE A MEASUREMENTMEASUREMENT

THEN ADD UP THEN ADD UP ALLALL SIDES SIDES

AREA OF FIGURE INSIDE A AREA OF FIGURE INSIDE A SHADED REGIONSHADED REGION

(1) focus on the non-shaded region and (1) focus on the non-shaded region and identify shape or shapes that is located identify shape or shapes that is located on math formula charton math formula chart

(2) if there are two shapes in one big (2) if there are two shapes in one big shape, you must find the area of both shape, you must find the area of both shapes then add them togethershapes then add them together

Example:( shapes are rectangle and a Example:( shapes are rectangle and a trapezoid) find the area of rectangle and trapezoid) find the area of rectangle and then the trapezoid and the two together.then the trapezoid and the two together.

Finding Area or Finding Area or Circumference with missing Circumference with missing

part of the formulapart of the formula If the formula is multiply, then to find the If the formula is multiply, then to find the

missing part of the formula you will dividemissing part of the formula you will divide

If the formula is divide, then to find the If the formula is divide, then to find the missing part of the formula you will missing part of the formula you will multiplymultiply

Note: Watch out for unit conversionsNote: Watch out for unit conversionsExample: feet to inches, pints to ouncesExample: feet to inches, pints to ounces

Unit ConversionsUnit Conversions

Watch out for unit conversionsWatch out for unit conversionsExample: quarts to ounces, weeks to Example: quarts to ounces, weeks to

days, hours to minutes, liters to days, hours to minutes, liters to milliliters, etc.milliliters, etc.

volume: volume: FORMULAS!! the FORMULAS!! the space inside a 3-d shapespace inside a 3-d shape

radius: radius: distance from the distance from the center to the edge of a center to the edge of a circle circle

FFormula ormula SubstituteSubstitute S Solve olve

diameterdiameter: distance all the : distance all the way across a circleway across a circle

FFormula ormula SubstituteSubstitute S Solve olve

circumference: circumference: FORMULA!! FORMULA!! distance around the distance around the outside of a circleoutside of a circle

VOLUME PROBLEMSVOLUME PROBLEMSALWAYS ALWAYS ACT IT OUTACT IT OUTALWAYS REFER TO ALWAYS REFER TO MATH FORMULA MATH FORMULA

CHARTCHARTALWAYS ALWAYS LABEL YOUR PARTS LABEL YOUR PARTS THEN THEN

SUBSTITUTESUBSTITUTEWork backwardsWork backwardsVolume of Triangular Prism V=Volume of Triangular Prism V=b.hb.h (h) (h)

2 2

Remember

Volume of Rectangular Prism

V= (l · w)h

corresponding angles/sidescorresponding angles/sides: in the : in the same place same place

pattern/sequencepattern/sequence: a predictable series : a predictable series of numbers or pictures that follow a rule of numbers or pictures that follow a rule (think of position and value of term)(think of position and value of term)

Adjacent: Adjacent: Two anTwo angles are Adjacent if they have gles are Adjacent if they have a common side and a a common side and a common vertex (corner point) and don't overlap.common vertex (corner point) and don't overlap.

Adjacent anglesAdjacent angles

Know all Triangles DefinitionsKnow all Triangles DefinitionsEquilateral triangleEquilateral triangle Isosceles triangleIsosceles triangleRight scalene triangleRight scalene triangleScalene triangleScalene triangleObtuse Isosceles triangleObtuse Isosceles triangleObtuse triangleObtuse triangleNote: when you read in the problem Note: when you read in the problem

about a triangle….think about all about a triangle….think about all triangles above before making a choice.triangles above before making a choice.

prism: prism: 3-d shape (polyhedron) 3-d shape (polyhedron) with 2 bases and all other with 2 bases and all other faces that are rectanglesfaces that are rectangles

pyramid: pyramid: 3-d shape 3-d shape (polyhedron) with 1 base and (polyhedron) with 1 base and all other faces that are all other faces that are trianglestriangles

transformations: transformations: changes in changes in a figure’s positiona figure’s position

translation: translation: (slide) use one (slide) use one of the point (x, y) to move a of the point (x, y) to move a figure up/down and/or figure up/down and/or left/right in a coordinate left/right in a coordinate planeplane

reflection: reflection: (flip) a mirror (flip) a mirror image of a figure image of a figure over y-axisover y-axis; ; “Y” like a “Y” like a butterflybutterfly – a mirror – a mirror image of a figure image of a figure over x-axisover x-axis; ; “X” like a “X” like a laptoplaptop..

estimate, best representation, estimate, best representation, most reasonable, approximate most reasonable, approximate and about: a close guessand about: a close guess

TRANSFORMATIONTRANSFORMATION

THINK….X-coordinate is the first THINK….X-coordinate is the first number in the ordered pairnumber in the ordered pair

Y-coordinate is the second number in Y-coordinate is the second number in the ordered pairthe ordered pair

X-coordinate is plotted always X-coordinate is plotted always horizontal (left or right; right or left)horizontal (left or right; right or left)

Y-coordinate is plotted always Y-coordinate is plotted always vertical (up or down; down or up)vertical (up or down; down or up)

SuccessiveSuccessive – next to or – next to or one after another.one after another.

percent proportionpercent proportion: %/100 : %/100 = is part/of the whole; tips, = is part/of the whole; tips, tax, discounts, part of a tax, discounts, part of a number or special groupnumber or special group

exponentexponent: a number : a number (base) raised to a power (base) raised to a power

3333 = 3 x 3 x 3 = 27 = 3 x 3 x 3 = 27square number/perfect square number/perfect

squaresquare: model is ALWAYS a : model is ALWAYS a square!! 3square!! 322 = 3 x 3 = 9, so = 3 x 3 = 9, so the square root of 9 is 3the square root of 9 is 3

RememberRememberSquare Root is side lengthSquare Root is side lengthSquare root Square root is never with the radical signis never with the radical sign169 square root is 13 because 13 x 13 = 169169 square root is 13 because 13 x 13 = 169

225 square root is 15 because 15 x 15 = 225225 square root is 15 because 15 x 15 = 225

196 square root is 14 because 14 x 14 = 196196 square root is 14 because 14 x 14 = 196

Multiply Fraction ArraysMultiply Fraction Arrays

Think of rows and columnsThink of rows and columnsYou write the two fractions from rows You write the two fractions from rows

and columns then multiply across and columns then multiply across numerator and multiply across numerator and multiply across denominatordenominator

Simplify if you canSimplify if you canDraw your own Draw your own

prime: prime: numbers with only numbers with only 2 factors: 1 and itself (2, 2 factors: 1 and itself (2, 3, 5, 7, 11, 13, 17, 19, etc)3, 5, 7, 11, 13, 17, 19, etc)

compositecomposite: numbers with : numbers with more than 2 factors (4, 6, more than 2 factors (4, 6, 8, 9, 10, 12, etc.) 8, 9, 10, 12, etc.)

Remember multiplesRemember multiples

Multiples of 6: 6, 12, 18, 24, 30, ….Multiples of 6: 6, 12, 18, 24, 30, ….

Multiples of 4: 4, 8, 12, 16, 20,…..Multiples of 4: 4, 8, 12, 16, 20,…..

Remember FactorsRemember Factors

GCF of 12 and 48: 12GCF of 12 and 48: 12GCF of 30 and 45: 15GCF of 30 and 45: 15

Sequence (position and value Sequence (position and value of terms)of terms)

If answers are in a list and the If answers are in a list and the question ask for the nth term do: question ask for the nth term do:

(1) go to the answers and write 1, 2, (1) go to the answers and write 1, 2, 3, 4, …..on top of each answer 3, 4, …..on top of each answer choices for the positionchoices for the position

(2) go to the rule in the problem and (2) go to the rule in the problem and substitute the n for 1,2,3,4,…to see if substitute the n for 1,2,3,4,…to see if you get the numbers in the answer you get the numbers in the answer choiceschoices

Types of graphs:Types of graphs:Bar graph Bar graph – used to count and compare – used to count and compare

informationinformationLine graph Line graph – shows change (increase and – shows change (increase and

decrease) over timedecrease) over timeCircle (pie) graph Circle (pie) graph – used to show how a – used to show how a

“ “whole” gets divided into smaller whole” gets divided into smaller groups, often percentagesgroups, often percentages

Venn diagram Venn diagram – shows how groups overlap– shows how groups overlap