Idea 8of 22Builds onA ratio table, group by group
Scale up: multiply both terms
How do you make a bigger batch that tastes the same?
Today you'll discover
- how many times bigger the batch is
- why both terms get multiplied
- what goes wrong when you add
Think first2 scoops of mix for every 3 cups of water
For 8 scoops of mix, how many cups of water keep the same taste?
Decide first, then press Next. Find the × that turns the first term into the new one.
A ratio table: scoops of mix on top, cups of water below. First 2 and 3 filled and 8 scoops given with its water blank. Then curved arrows marked times 4 over the top and under the bottom; then the table filled, 2 and 3, 4 and 6, 6 and 9, 8 and 12, with the last column ringed and 2 : 3 = 8 : 12 under it. The last step asks about cans of red and white paint.
See the whole ideathe big idea and the key word, in one place
The big idea
To scale up a ratio, multiply both terms by the same number.
Easy to get wrongAdding the same amount to both terms does not scale a ratio. 2 : 3 plus 6 each is 8 : 9, a much stronger lemonade than 8 : 12.
DoublingDoubling is scaling up by 2. Lemonade at 2 : 3, doubled, is 4 : 6.
Key word
- scale up
- make an equivalent ratio with bigger terms by multiplying both terms by the same number
Ready to use it?
- Scale a ratio up by multiplying both terms.
- Find the water for a bigger batch.