MTE 280
Elementary Math
Numbers
Integers
Add/Subtract
Multiply/ Divide
Order of operations
Methods
Addition
Subtraction
Multiplication
Division
Prime Factorization
Integers
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
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.
Division
15/515 into 5 groups is 3Finding out how many things are inside a groupTraditional is long division
Prime Factorization
Base 10 blocksFlats are hundredsLongs are tensunits are ones