This download helps children understand and explore the flexibility and power of bar models for multiplication and division, fractions and ratio.
Set A (Pages 2 – 14) contains part-whole bar models that show all 6 possible multiplication and division problems that could be asked based on a class of 18 girls and 12 boys. Includes versions of each model with no data. Note: each problem could be phrased with respect to fractions.
Set B (Pages 15 – 45) contains comparison bar models that show all 15 possible multiplication and division problems that could be asked based on a class of 18 girls and 12 boys. Note: each problem could be phrased in terms of fractions or ratio.
Ideas for Use:
1) Here’s the model! What’s the question? – each child is given a card (either one with data or without data) and encouraged to move around the room, reasoning with other children about their cards – each time asking what the question might be.
2) Here’s the model, what’s different? – children are given a set of cards and encouraged to explore the similarities between the cards.
3) If my question is this, what’s your problem? – children create a problem based on their card, and their partner has to use the data from that problem to create their own version based on their particular bar model.
4) How many steps? – solving the problems represented by these bar models involves either one, two or three steps. Challenge your children to sort the problems according to the number of steps they’ll take.