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What do you notice? What do you wonder?
Here is a recipe for luo bo gao (LUOH-boe-gow) or radish cake. It is also called lo bak go (law-buhk-GAW) or Chinese turnip cake.
INGREDIENTS
INSTRUCTIONS
How much of each of these 3 ingredients would be needed to make:
Twice the amount of radish cake?
Half the amount of radish cake?
Five times the amount of radish cake?
One-fourth the amount of radish cake?
How many batches of radish cake would you make if you used the following amounts of ingredients?
The ratios and are equivalent ratios.
Write a definition of equivalent ratios.
Pause here so your teacher can review your work and assign you a ratio to use for your visual display.
Create a visual display that includes:
Be prepared to share your display with the class.
All ratios that are equivalent to can be made by multiplying both and by the same number.
For example, the ratio is equivalent to because both 9 and 6 are multiplied by the same number: 2.
is also equivalent to , because both 9 and 6 are multiplied by the same number: .
Is equivalent to ?
No, because 18 is , but 15 is not .
Two ratios are equivalent if each of the numbers in the first ratio can be multiplied by the same factor to get the numbers in the second ratio. For example, is equivalent to , because and .
A recipe for lemonade says to use 8 cups of water and 6 lemons. If 4 cups of water and 3 lemons are used, it will make half as much lemonade. Both recipes taste the same, because and are equivalent ratios.
| cups of water | number of lemons |
|---|---|
| 8 | 6 |
| 4 | 3 |