Several equal groups: multiplication
Distinguish objects per group from the number of groups.
Start with the objects ↓An idea to revisit first: A bundle of ten: place value →
Think with objects in front of you
Say how many per row and how many rows. The total combines all rows.
Two bags each contain three marbles. One bag has three; combining both gives 3+3, or six.
Multiplication records repeated equal groups compactly. Here we write three objects in each of two groups as 3×2=6. The sign × means multiplication.
Rearranging the same six objects into three groups of two still gives six. The total is the same, while group size and group count change. Describe each role.
A bag of three and a bag of four are not two equal groups. Use 3+4 for their total. Before using an equal-groups model, check that each group has the same size.
Listen one paragraph at a time
Now move the objects yourself
Change the group size and group count. Count objects one by one, then check by repeated addition.
Tap objects to mark what you have counted. There is no time limit.
Group 1
Group 2
You may use small toys or blocks instead of the screen. Explain what stayed the same and what changed.
Check your idea with different examples
Why are group size and number of groups different questions?
You may speak or draw on paper. Look for these ideas in your explanation.
Continue reading, or pause here
What if we know the total and want equal shares? Continue to division.