July 21, 2023July 21, 2023 0 Comments
MAB- Problem Solving Task
Problem-solving
Modelling numbers
Show base 10 place-value pieces: flats (100), longs (10) and units (1). Include blocks (1000) if students are ready for numbers up to 10 000.
Use the digital resource Hundreds, tens and units to explore models of numbers up to 1000. Discuss regrouping; for example, when the units column has 9 and another unit is added.
True or false? Each number has only one way of making it using MAB pieces. For example, to make the number 345 you always use 12 MAB pieces: 3 x 100, 4 x 10 and 5 x 1.
Look for ways to model 345 in different ways. Try to identify a pattern by recording the different models in a table.
| 345 | 3 x 100, 4 x 10 and 5 x 1 | 12 MAB pieces |
| 345 | 2 x 100, 14 x 10 and 5 x 1 | 21 MAB pieces |
| 345 | 1 x 100, 24 x 10 and 5 x 1 | 30 MAB pieces |
| 345 | 34 x 10 and 5 x 1 | 39 MAB pieces |
| 345 | ? | ? |
| 345 | 345 x 1 | 345 MAB pieces |
How many ways can you make 100? How many pieces each time? What about 200? 300? 201? 210? 301? 310?