Order of Operations w/ Parentheses [CCSS.5.OA.A.1]
Example: 2 + 3 x 5 = ____ ; ( 2 + 3 ) x 5 = _____
Order of Operations 1 Order of Operations 2 Order of Operations 3 Order of Operations 4 Order of Operations 5
Example: ( 1 + 6 ) + (1 + 3 ) x 9 = ________
Parentheses 1 Parentheses 2 Parentheses 3 Parentheses 4 Parentheses 5
Write Variable Equations [CCSS.5.OA.A.2]
Example: 345 less than n => n – 345
write the equation 1 write the equation 2 write the equation 3 write the equation 4 write the equation 5
Word Problems – algebraic expressions [CCSS.5.OA.A.2]
Word problems
Example: Amanda made fifteen snow balls. She threw n of them at her brother. How many does she have left?
a) n + 15 b) n – 15 c) 15 -n d) n
variable expressions 1 variable expressions 2 variable expressions 3 variable expressions 4 variable expressions 5
Convert word problems into expressions
Example: A troop of moneys was collecting bananas. They collected fifteen bananas on Tuesday and on Wednesday they collected ten times as many. How many bananas did the monkeys collect on Wednesday?
Algebra Variable 1 Algebra Variable 2 Algebra Variable 3 Algebra Variable 4 Algebra Variable 5
Solve basic algebraic expressions
Example: n x 5 = 25, n = ______
Basic Algebra1 Basic Algebra2 Basic Algebra3 Basic Algebra4 Basic Algebra5
Solve basic algebraic expressions using a calculator
Bigger numbers, use your calculator!
Example: (1+c) x (11+12) + 7 = 283
Calculator Algebra 1 Calculator Algebra 2 Calculator Algebra 3 Calculator Algebra 4 Calculator Algebra 5
Function Tables [CCSS.5.OA.B.3]
Example: There are twice as many squirrels as chipmunks in the yard. Complete a table showing how the number of squirrels, s, depends on the number of chipmunks, c.
function table 1 function table 2 function table 3 function table 4 function table 5
Convert a graph into a function table
InputOutputGraph1 InputOutputGraph2 InputOutputGraph3 InputOutputGraph4 InputOutputGraph5
Decimals
Convert from expanded to standard format [CCS.5.NBT.A.3]
example: 4 x 10 + 5 x 1 + 7 x .1 = _____________
Convert decimals to standard: Standard Decimal 1 Standard Decimal 2 Standard Decimal 3 Standard Decimal 4 Standard Decimal 5
Compare decimals (CCSS.5.NBT.A.3]
Example: 1.432 __1.423 < , > , or =
Compare Decimals: Compare Decimals 1 Compare Decimals 2 Compare Decimals 3 Compare Decimals 4 Compare Decimals 5
Put decimals in order [CCSS.5.NBT.A.3]
Example: Put the following numbers in order – 2.34 2.63 2.14 3.23
2 Decimal Places: Order Decimals 2 places 1 Order Decimals 2 places 2 Order Decimals 2 places 3 Order Decimals 2 places 4 Order Decimals 2 places 5
3 Decimal Places: Order Decimals 3 places 1 Order Decimals 3 places 2 Order Decimals 3 places 3 Order Decimals 3 places 4 Order Decimals 3 places 5
4 Decimal Places: Order Decimals 4 places 1 Order Decimals 4 places 2 Order Decimals 4 places 3 Order Decimals 4 places 4 Order Decimals 4 places 5
Rounding decimals [CCS.5.NBT.A.4]
Example: Round 3.465 to the nearest hundreth
Nearest tenth: round to tenth 1 round to tenth 2 round to tenth 3 round to tenth 4 round to tenth 5
Nearest hundredth: round to hundredth 1 round to hundredth 2 round to hundredth 3 round to hundredth 4 round to hundredth 5
Mixed: mixed rounding 1 mixed rounding 2 mixed rounding 3 mixed rounding 4 mixed rounding 5
Identify mathematical properties [CCS.5.NBT.B.6]
Example: What property does x + 2 = 2 + x demonstrate: commutative property of addition, property of zero, or identity property of addition?
MathProperties1 MathProperties2 MathProperties3 MathProperties4 MathProperties5
Properties of multiplication [CCSS.5.NBT.B.6]
Distributive property
Example: 4 x (5 + 6) = 4 x 5 ) 4 x 6
distributive property 1 distributive property 2 distributive property 3 distributive property 4 distributive property 5
Multiply multi-digit whole numbers [CCSS.5.NBT.B.5]
Two digits times two digits
Set 1: multiplication 1 multiplication 2 multiplication 3 multiplication 4 multiplication 5
Set 2: multiplication 6 multiplication 7 multiplication 8 multiplication 9 multiplication 10
Multiply a number ending in zero [CCS.5.NBT.A.2]
One digit times multiple digits Example 4 x 4,000 = __________________
Multiply ending in zero 1 Multiply ending in zero 2 Multiply ending in zero 3 Multiply ending in zero 4 Multiply ending in zero 5
Multiple digits times multiple digits Example 400 x 2,000 = __________________
Multiply ending in zero 6 Multiply ending in zero 7 Multiply ending in zero 8 Multiply ending in zero 9 Multiply ending in zero 10
Divide a number ending in zero [CCS.5.NBT.B.6]
Example: 120 ÷ 60 = ________
Set 1 (smaller numbers): Division 1 Division 2 Division 3 Division 4 Division 5
Set 2 (bigger numbers): Division 6 Division 7 Division 8 Division 9 Division 10
Long Division: Divide a number and express the result as a fraction [CCS.5.NBT.B.7]
Example: 697 ÷ 5 = 139 2/5
Set 1: Long Division Fraction 1 Long Division Fraction 2 Long Division Fraction 3 Long Division Fraction 4 Long Division Fraction 5
Set 2: Long Division Fraction 6 Long Division Fraction 7 Long Division Fraction 8 Long Division Fraction 9 Long Division Fraction 10
Long Division: Divide a number and express the result as a decimal [CCS.5.NBT.B.7]
Example: 160 ÷ 4 = 26.5
Set 1: Long Division Decimal 1 Long Division Decimal 2 Long Division Decimal 3 Long Division Decimal 4 Long Division Decimal 5
Set 2: Long Division Decimal 6 Long Division Decimal 7 Long Division Decimal 8 Long Division Decimal 9 Long Division Decimal 10
Add and subtract fractions with unlike denominators: [CCSS.5.NF.A.1]
Chose the equivalent fraction
2/8 = 4/6 ; 1/2 ; 1/4 ; 2/4
Equivalent Fraction 1 Equivalent Fraction 2 Equivalent Fraction 3 Equivalent Fraction 4 Equivalent Fraction 5
Reduce fractions to the simplest terms
Maximum denominator 8: Reduce Fraction 1 Reduce Fraction 2 Reduce Fraction 3 Reduce Fraction 4 Reduce Fraction 5
Maximum denominator 12: Reduce Fraction 1 Version2 Reduce Fraction 3 Reduce Fraction 4 Reduce Fraction 5
Multiply a fraction and an integer, and simplify [CCS.5.NF.B.4a]
Example: what is one third of four?
Basic multiplication: multiply fractions basic 1 multiply fractions basic 2 multiply fractions basic 3 multiply fractions basic 4 multiply fractions basic 5
Max denominator 6, max integer 3: multiply fractions 1 multiply fractions 2 multiply fractions 3 multiply fractions 4 multiply fractions 5
Max denominator 12, max integer 3: multiply fractions 6 multiply fractions 7 multiply fractions 8 multiply fractions 9 multiply fractions 10
Max denominator 12, max integer 6: multiply fractions 11 multiply fractions 12 multiply fractions 13 multiply fractions 14 multiply fractions 15
Input and output tables:
Easy: FractionTableEasy1 FractionTableEasy2 FractionTableEasy3 FractionTableEasy4 FractionTableEasy5
A little harder: FractionTableMedium1 FractionTableMedium2 FractionTableMedium3 FractionTableMedium4 FractionTableMedium5
Multiply a mixed fraction and an integer, and simplify [CCS.5.NF.B.6]
Example: 3 ½ x 4 = _______________
MixedByWhole1 MixedByWhole2 MixedByWhole3 MixedByWhole4 MixedByWhole5
Multiply a mixed fraction and a mixed fraction, and simplify [CCS.5.NF.B.6]
Example: 3 ½ x 4¾ = _______________
MixedByMixed1 MixedByMixed2 MixedByMixed3 MixedByMixed4 MixedByMixed5
Divide a mixed fraction and an integer, and simplify [CCS.5.NF.B.7]
Example: 3 ½ ÷ 4 = _______________
DivideMixedByWhole1 DivideMixedByWhole2 DivideMixedByWhole3 DivideMixedByWhole4 DivideMixedByWhole5
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