Lesson 3Recipes
Learning Goal
Let’s explore how ratios affect the way a recipe tastes.
Learning Targets
I can explain the meaning of equivalent ratios using a recipe as an example.
I can use a diagram to represent a recipe, a double batch, and a triple batch of a recipe.
I know what it means to double or triple a recipe.
Lesson Terms
- ratio
Warm Up: Flower Pattern
Problem 1
This flower is made up of yellow hexagons, red trapezoids, and green triangles.
Write sentences to describe the ratios of the shapes that make up this pattern.
How many of each shape would be in two copies of this flower pattern?
Activity 1: Powdered Drink Mix
Here are diagrams representing three mixtures of powdered drink mix and water:
Problem 1
How would the taste of Mixture A compare to the taste of Mixture B?
Problem 2
Use the diagrams to complete each statement:
Mixture B uses cups of water and teaspoons of drink mix. The ratio of cups of water to teaspoons of drink mix in Mixture B is .
Mixture C uses cups of water and teaspoons of drink mix. The ratio of cups of water to teaspoons of drink mix in Mixture C is .
Problem 3
How would the taste of Mixture B compare to the taste of Mixture C?
Are you ready for more?
Problem 1
Sports drinks use sodium (better known as salt) to help people replenish electrolytes. Here are the nutrition labels of two sports drinks.
Which of these drinks is saltier? Explain how you know.
If you wanted to make sure a sports drink was less salty than both of the ones given, what ratio of sodium to water would you use?
Activity 2: Batches of Cookies
Problem 1
A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.
Draw a diagram that shows the amount of flour and vanilla needed for two batches of cookies.
How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla? Indicate the additional batches by adding more ingredients to your diagram.
How much flour and vanilla would you need for 5 batches of cookies?
Problem 2
Whether the ratio of cups of flour to teaspoons of vanilla is
Find another ratio of cups of flour to teaspoons of vanilla that is equivalent to these ratios.
How many batches can you make using this new ratio of ingredients?
Lesson Summary
A recipe for fizzy juice says, “Mix 5 cups of cranberry juice with 2 cups of soda water.”
To double this recipe, we would use 10 cups of cranberry juice with 4 cups of soda water. To triple this recipe, we would use 15 cups of cranberry juice with 6 cups of soda water.
This diagram shows a single batch of the recipe, a double batch, and a triple batch:
We say that the ratios