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6th Grade Math STAAR REVIEW This booklet belongs to:
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Pg. 1 Pg. 14 Deposit—credit (+) putting money in
Withdrawal— take money out (-) payment/fee (-) Transfer - take money out and put in another account Important because it shows your financial responsibility and: Lenders will decide whether you can get a loan and the terms of the loan For insurance (whether you can get insurance and the rates you will pay Employment (employers may use your credit report) to see if they would like to hire you Telephone and utility companies may use the information to determine if they should provide services to you Landlords may use information to determine whether or not to rent an apartment to you What’s in a credit report? Identification information (address, social, date of birth and employment history) Credit accounts Credit inquiries Public record and collections Factors that affect your credit: Types of credit New credit Length of credit history Amounts owed Payment history Negative information remains on your credit report for 7 years and bankruptcies can be reported for 10 years. Important factors to consider when choosing a career path: Salary (pay per year) Level of education or training required (skills needed, college, trade school, on the job training) Job outlook in the future and personal job interests Grants Scholarships Work-study Savings Loans Free money Need-based Free money Merit-based Part-time jobs for undergrad students Your own money you saved Money bor- rowed, paid back with interest * ALWAYS POSITIVE!
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Pg. 13 Pg. 2 6 > 4 2 > -3 -3 > -5 -12.50 < -10.35
Be sure to convert all #s in to the same form (ex: change all #s to decimal form) In order to choose the most appropriate bank, you need to compare the features and costs of the accounts offered by different financial institutions. You must also consider the way you are going to use the account i.e. which fea- tures and fees would accommodate you best. Some things to look at are as follows: Do they offer a checking and/or savings account? Automatic deposit and payment ATM fees Debit card fees Online banking Money transfers Overdraft protection * The bigger the negative #, the smaller the value 6 > 4 2 > -3 -3 > -5 < Pacman eats the bigger # Debit card– deducts money from your own account from money that you have available. You use a pin. Credit card– is not your own money, you will owe the money you spend in the future, you are required to pay back what you use at a later date. Credit cards are only interest free if you pay the entire balance prior to the Dividing by 2 is the same as multiplying by Dividing by 3 is the same as multiplying by Dividing by 4 is the same as multiply by When multiplying by a fraction GREATER than 1, the # will INCREASE When multiplying by a fraction LESS than 1, the # will DECREASE
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Pg. 3 Pg. 12 Dividing Decimals Multiplying Decimals -2 +5 = 3
ALWAYS START AT 0 +5 Zero Pairs -2 -2 +5 = 3 +2 -5 -5 +2 = -3 = -7 Solution is where the line stops 2(4) = 8 LEFT POSITIVE MOVES RIGHT NEGATIVE/SUBTRACT MOVE Dividing Decimals Step 1: If the divisor is not a whole #, move the decimal pt to the right as many times necessary to make it a whole #. Move the decimal pt in the dividend the same # of places 9.75 ÷ 0.65= Step 2: Divide as usual... Step 3: Put decimal pt directly above decimal pt in dividend 15. Step 4: Check your answer (by multiplying) 0.65 x 15 = 9.75 Multiplying Decimals Step 1: Multiply normally, ignoring the decimal points 1.85 x 0.5 = 4 2 185 x 5 Step 2: Put the decimal point in the answer—as many decimal places as the two original #s combined places x place places total
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Pg. 11 Pg. 4 Multiplying Fractions Dividing Fractions Fraction
x Fraction Whole # Mixed # x Fraction x Fraction NORTH Step 1: Make sure you have a numerator and denominator with both numbers. Whole #s—put a one as the denominator Mixed #s—change into improper fraction (around the world) 8 + x Step 2: Multiply the numerators. numerator x numerator Step 3: Multiply the denominators. denominator x denominator Step 4: Simplify, if possible. SOUTH *cluster *outliers *symmetrical WEST EAST Dividing Fractions *peak Fraction ÷ Whole # Mixed # ÷ Fraction ÷ Fraction Step 1: Make sure you have a numerator and denominator with both numbers. Whole #s—put a one as the denominator Mixed #s—change into improper fraction (around the world) 8+ x Step 2: K-C-F (Keep, Change, Flip) Multiply by the Reciprocal K C F K C F K C F Step 3: Multiply the numerators. numerator x numerator Step 4: Multiply the denominators. denominator x denominator Step 5: Simplify, if possible.
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Isolate variable by performing the opposite operation!
Pg. 5 Pg. 10 RECTANGLE PARALLELOGRAM x y 1 + 2 3 2 + 2 4 3 + 2 5 4 + 2 6 y results from 2 being added to x, y = x +2 x y 1 x 2 2 2 x 2 4 3 x 2 6 4 x 2 8 y results from 2 being multiplied to x, y = 2x h h b b TRAPEZIOD b1 TRIANGLE h h h b2 b b RECTANGULAR PRISM V = area of base x height V = (b x h) x h V = l x w x h *surveys *Pay attention to the order the question wants the ratio When predicting, setup a proportion *scales *traveling On map, the scale is 1 inch to 12 miles. How many inches represent 60 miles on the map? *expectations Mark had $27. He spent 2/3 of his money at the store. Then he spent 1/4 of the remaining money on a drink. How much money does he have left? X - 4 = 10 $2.25 = 1/4 Isolate variable by performing the opposite operation! $27 = 100% $9 x - - = + Check $18 = 2/3 $9 solution by He has 3/4 of the remaining money left = $6.75 - - substituting! + $9 X = 14 + +
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Pg. 9 Pg. 6 Find the whole given a part and percent
How many ounces are in 20 pounds? 320 Find the whole given a part and percent Mary spent $12 on a ticket to the county fair. She now has 60% of her original amount of money remaining. How much money did Mary originally have? Find the part given the whole and percent At an animal shelter, 12% of the dogs are Chihuahuas. If there are 75 dogs at the shel- ter, how many Find the percent given the part and the whole Dan has 250 songs on his MPS player. Ninety- five of the songs are by the same singer. What percent of Dan’s songs are by that one singer? * move decimal point two times to the right (x 100)
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Pg. 7 Pg. 8 EX: The amount of money you make depends on the amount of time you work Dependent variable (y): amount of money you make Independent variable (x): amount of time worked Verbal: Sam has x apples and 3 more oranges. Table: Apples (x) 1 2 Oranges (y) 3 4 5 Equation: y = x + 5 SUBSTITUTE Graph: Y 5 4 3 2 1 Oranges Commutative: 3 + 4 = 4 + 3 2 x 4 = 4 x 2 X 1 2 Apples 3 Associative: (3 + 4) + 5 = 3 + (4 +5) (2 x 4) x 3 = 2 x (4 x 3) 132 2 66 2 33 10 + ( ) ÷ 5 - 6 10 + ( ) ÷ 5 - 6 ÷ 5 - 6 8 *Prime Factorization— finding the factors of a number that are all prime. Distributive: 6(2 + 4) = 6(2) + 6(4) 3(4 - 2) = 3(4) - 3(2) 3 11 2 132 = 2 2 3 11 same as 2 3 11 Identity: 7 + 0 = 7 7 x 1 = 7 Inverse: = 0 = 0
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