Composite
Composite Numbers
Prime
Prime numbers
Integers
Adding
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Subtracting
Adding inverse: KCC or Keep Change ChangeImages
Multiplying/ Dividing
Same sign gives you a positive answerDifferent sign gives you a negative answerImages
Fractions
*Do not teach to solve using improper fractions*Top number is how many pieces we haveBottom number is the size of the piecesShowing Fractions
Comparing Fractions
Less than symbol looks like an L <Greater than symbol >Reasoning for comparing fractions:same denominatornumerator the same so went with (bigger/ smaller) piecesanchor fractions ( bigger/ smaller than half)Bigger or smaller pieces (number) away Image
Adding/ Subtracting Fractions
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Multiplying/ Dividing Fractions
*Do not say cancel out* say "funky 1" insteadImage
Decimals
Decimals are fractionsDo not say line up your decimals, Say line up your whole numbers. 1.0 Ones0.1 Tenths0.01 Hundreths0.001 ThousandthsImage
Add/Subtract
Multiply/ Divide
PEMDAS can be confusingUse this instead:GroupingExponentsM/D Divide or Multiply (Left to Right)S/A Add or Subtract (Left to Right)ImageImage
aAddition
Combining numbers
Subtraction
Finding a difference
Multiplication
Multiplying two numbers is finding the area all the time.
Area Model
Reinforces prior understandingIs repeatableIs efficient enoughImage
Expanded Form
Reinforces prior understandingIs repeatableIs efficient-ishImage
Left-to-right
Reinforces prior understandingIs repeatableIs efficient enoughImage
Lattice
Reinforces prior understandingIs repeatableIs efficientImage
Division
15/515 into 5 groups is 3Finding out how many things are inside a groupTraditional is long division
Prime Factorization
Factor Trees
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Downwards division
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Video
Repeated Subtraction
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Upwards division
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Video
Divisibility Rules
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Base 10 blocksFlats are hundredsLongs are tensunits are ones