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Exam Prep Mult/DIv

Jordyn Pitman Mathematics unknown Englisch 35 Karten

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  1. 1Partitive/Sharing Division DefinitionYou know the number of groups and you are trying to find the amount inside each group. Number of shares are known.
  2. 2Partitive/Sharing Division Example20 biscuits altogether. They are equally shared between 5 dogs, how many biscuits does each dog get?
    20/5 = 4 biscuits each.
  3. 3Quotative/Measuring Division DefinitionYou know the amount in each group, you are trying to find out how many groups there are. Size of the share is known.
  4. 4Quotative/Measuring Division Example20 biscuits altogether. Each dog gets an equal amount of 4 biscuits each. How many dogs get a share of the biscuits?
    20/4 = 5 dogs.
  5. 5Multiplication/Division PropertiesCommutative
    Associative
    Distributive
    Inverse/Reversibility
  6. 6Commutative DefinitionChange the order of factors.
  7. 7Associative DefinitionDoubling, halving, thirding and trebling.
    Division: Factorising
    Multiplication: Proportional adjustment
  8. 8Distributive DefinitionSplitting factors and using tidy numbers.
    Division: Chunking
    Multiplication: Place value partitioning
    Both: Rounding and compensating
  9. 9Inverse DefinitionDoing and undoing.
    Reversing.
  10. 10Counting All (CA) FeaturesCounting using units of one.
    Multiplication: forming sets and counting objects by one
    Division: Sharing objects one by one or forming sets and counting by one.
  11. 11Advanced Counting (AC) - Early Additive (EA) Stage 4 - Stage 5Composite counting.
    Multiplication: skip counting or repeated addition.
    Division: sharing or subtraction by skip counting.
  12. 12Advanced Additive (AA) Stage 6Known facts and deriving.
    Multiplication: knowing facts and using commutative, associative and distributive properties to find unknown facts.
    Division: sharing, repeated subtraction through reverse multiplication (inverse).
  13. 13Problem TypesEqual groups
    Rate
    Comparison
    Part-Whole
    Cartesian Product
    Rectangular area
  14. 14Equal GroupsSharing and forming of equal groups.
  15. 15RateUse of measurable units such as time.
  16. 16ComparisonComparing a quantity to find another.
  17. 17Part-WholeUses more than one method to find whole answer e.g ratio andmultiplication
  18. 18Cartesian ProductCombinations made from two different quantities
  19. 19Rectangular AreaTwo factors combined to make a product. Changing the order of factors doesn't change the product.
  20. 20FactorisationDivision proportional adjustment:
    136/8 = 136/2/2/2 = 68/2 = 34/2 = 17
  21. 21Number KnowledgeDivision:
    130/5 = 130/10 x2 = 13x2 = 26
  22. 22ChunkingDivision place value partitioning:
    136/8 = 80/8 + 56/8 = 10+7 = 17
  23. 23Rounding and Compensating DivisionDivision:
    136/8 = 160/8 -24/8 = 20-3 = 17
  24. 24Place Value PartioningMultiplication:
    38x5 = 30x5 +8x5 = 150+40 = 190
  25. 25Proportional AdjustmentMultiplication:
    38x5 = 19x10 = 190
  26. 26Rounding and CompensatingMultiplication:
    38x5 = 40x5 - 2x5 = 200-10 = 190
  27. 27Division isThe inverse of multiplication and repeated subtraction.
  28. 28Multiplication isThe inverse of division and repeated addition.
  29. 29Place value partitioning extra examples3x37= 3x30 + 3x7
    5x42= 5x40 + 5x2
    4x29= 4x20 + 4x9
  30. 30Rounding and Compensating extra examples6x24= 6x25 - 6x1
    3x29= 3x30 - 3x1
    7x19= 7x20 - 7x1
  31. 31Proportional Adjustment extra examples8x12= 4x24 = 2x48
  32. 32Young-Loveridge (2005) key points_____________________________________________
  33. 33Young-Loveridge (2005) Implications_____________________________________________
  34. 34Neill (2008) key points_____________________________________________
  35. 35Neill (2008) Implications_____________________________________________

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Beschreibung
EDCURRIC 204 Exam Prep
Erstellt von
Jordyn Pitman · Aug 2015
Aktualisiert
6 Apr 2018
Aufrufe
55
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