B2.6 Represent division of up to 12 items as the equal sharing of a quantity, and solve related problems, using various tools and drawings.
Activity 1: What's Missing?
Use Appendix 3Rel.3 (a) to create number combinations related to equal-sharing (partitive division) and equal-grouping (quotative division). Ensure that there are 12 or fewer elements in the combinations. Give a copy to each student.
Ask students to determine the missing number and justify their choice. Encourage them to find as many solutions as possible, for each set of two numbers.
Example of possible solutions:
If I have 8 counters and I make 4 groups, there are 2 counters in each group.
If there are 8 counters and 4 counters in each group, then there are 2 groups.
Source: adapted from Guide d'enseignement efficace des mathématiques de la 1re à la 3e année, Numération et sens du nombre, p. 208.
Activity 2: Quotative/Measurement and Partitive Division Problems
Ask students to solve a variety of partitive and quotative/measurement division problems using various strategies (manipulatives, number line, diagram, number chart, etc.).
The meaning of quotative/measurement - The number of groups is unknown.
The clown has 14 balloons and wants to tie them in groups of 2. How many groups of 2 will he have?
Yoko has 24 pumpkins. She gives 3 to each of her friends. How many friends does she have?
Ashraf bought 28 yogurts. He puts 7 yogurts on each tray. How many trays does he have?
I have $12. If a pair of mittens costs $3, how many pairs of mittens can I buy?
There are 20 tangerines and each child is given 5. How many children receive tangerines?
The meaning of partitive - The size of the groups is unknown.
The clown has 14 balloons and wants to distribute them equally between 2 children. How many balloons will each child receive?
Yoko has 24 pumpkins that she wants to share equally among each of her 8 friends. How many pumpkins will each of her friends receive?
Ashraf has bought 28 yogurts. He wants to put them in equal quantities on 7 trays. How many yogurts will be on each tray?
I can buy 3 pairs of mittens for $12. What a bargain! How much is each pair of mittens?
Twenty tangerines are divided equally among five children. How many tangerines does each child get?
Source: translated from L'@telier - Ressources pédagogiques en ligne (atelier.on.ca).