3311479
Description
Flashcards by Jordyn Pitman, updated more than 1 year ago
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Created by Jordyn Pitman
about 10 years ago
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| Question | Answer |
| Partitive/Sharing Division Definition | You know the number of groups and you are trying to find the amount inside each group. Number of shares are known. |
| Partitive/Sharing Division Example | 20 biscuits altogether. They are equally shared between 5 dogs, how many biscuits does each dog get? 20/5 = 4 biscuits each. |
| Quotative/Measuring Division Definition | You know the amount in each group, you are trying to find out how many groups there are. Size of the share is known. |
| Quotative/Measuring Division Example | 20 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. |
| Multiplication/Division Properties | Commutative Associative Distributive Inverse/Reversibility |
| Commutative Definition | Change the order of factors. |
| Associative Definition | Doubling, halving, thirding and trebling. Division: Factorising Multiplication: Proportional adjustment |
| Distributive Definition | Splitting factors and using tidy numbers. Division: Chunking Multiplication: Place value partitioning Both: Rounding and compensating |
| Inverse Definition | Doing and undoing. Reversing. |
| Counting All (CA) Features | Counting 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. |
| Advanced Counting (AC) - Early Additive (EA) Stage 4 - Stage 5 | Composite counting. Multiplication: skip counting or repeated addition. Division: sharing or subtraction by skip counting. |
| Advanced Additive (AA) Stage 6 | Known 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). |
| Problem Types | Equal groups Rate Comparison Part-Whole Cartesian Product Rectangular area |
| Equal Groups | Sharing and forming of equal groups. |
| Rate | Use of measurable units such as time. |
| Comparison | Comparing a quantity to find another. |
| Part-Whole | Uses more than one method to find whole answer e.g ratio andmultiplication |
| Cartesian Product | Combinations made from two different quantities |
| Rectangular Area | Two factors combined to make a product. Changing the order of factors doesn't change the product. |
| Factorisation | Division proportional adjustment: 136/8 = 136/2/2/2 = 68/2 = 34/2 = 17 |
| Number Knowledge | Division: 130/5 = 130/10 x2 = 13x2 = 26 |
| Chunking | Division place value partitioning: 136/8 = 80/8 + 56/8 = 10+7 = 17 |
| Rounding and Compensating Division | Division: 136/8 = 160/8 -24/8 = 20-3 = 17 |
| Place Value Partioning | Multiplication: 38x5 = 30x5 +8x5 = 150+40 = 190 |
| Proportional Adjustment | Multiplication: 38x5 = 19x10 = 190 |
| Rounding and Compensating | Multiplication: 38x5 = 40x5 - 2x5 = 200-10 = 190 |
| Division is | The inverse of multiplication and repeated subtraction. |
| Multiplication is | The inverse of division and repeated addition. |
| Place value partitioning extra examples | 3x37= 3x30 + 3x7 5x42= 5x40 + 5x2 4x29= 4x20 + 4x9 |
| Rounding and Compensating extra examples | 6x24= 6x25 - 6x1 3x29= 3x30 - 3x1 7x19= 7x20 - 7x1 |
| Proportional Adjustment extra examples | 8x12= 4x24 = 2x48 |
| Young-Loveridge (2005) key points | _____________________________________________ |
| Young-Loveridge (2005) Implications | _____________________________________________ |
| Neill (2008) key points | _____________________________________________ |
| Neill (2008) Implications | _____________________________________________ |
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