Idea 6of 22Builds onThe order of a ratio matters
Equal groups keep the ratio
Why do 6 orange and 9 blue still make 2 for every 3?
Today you'll discover
- how to pack counters into equal groups
- what equivalent ratios are
- why the difference does not matter
Think first6 orange and 9 blue on a tray
Can these counters be packed into groups of 2 orange and 3 blue?
Decide first, then press Next. Watch the counters slide into boxes.
6 orange circles and 9 blue squares in two loose rows slide into three dashed boxes, each with 2 orange and 3 blue; the line under it says orange to blue equals 6 to 9, the same as 2 to 3. Then 3 orange and 12 blue pack into three boxes of 1 and 4. The last step shows 12 orange and 4 blue.
See the whole ideathe big idea and the key word, in one place
The big idea
Equivalent ratios are the same equal groups, just more or fewer of them.
More groups, same mix
1 group: 2 : 3. 2 groups: 4 : 6. 3 groups: 6 : 9. Every one is 2 orange for every 3 blue.
- 1 group2 : 3
- 2 groups4 : 6
- 3 groups6 : 9
Easy to get wrongThe difference changes as groups are added: 1 more blue, then 2 more, then 3 more. The ratio does not change.
Key word
- equivalent ratios
- ratios that describe the same relationship, like 2 : 3 and 6 : 9
Ready to use it?
- Pack counters into equal groups of a ratio.
- Say whether two ratios are the same equal groups.