Ratios and Rates: Modeling Ratios

The video tutorial introduces the concept of models and ratios, using visual examples like squares and circles to illustrate a 5 to 3 ratio. It then challenges viewers to represent a 2 to 1 ratio using fingers and thumbs. The tutorial further explores ratios through a practical example of making lemonade, explaining how to scale a recipe using a table of ratios. By the end, viewers understand how to apply ratios in both theoretical and practical scenarios.

How can you visually represent a ratio of 5 to 3?

• Three circles and five squares

• Three squares and five circles

• Five squares and three circles

• Five circles and three squares

What is a simple way to show a ratio of 2 to 1 using your hands?

• Two fingers on one hand and a thumb on the other

• One finger on each hand

• Two thumbs on one hand and one finger on the other

• Two fingers on each hand

What is the basic ratio of lemonade mix to water in the recipe?

• One cup of mix to one quart of water

• Half a cup of mix to one quart of water

• One cup of mix to two quarts of water

• Half a cup of mix to two quarts of water

If you want to make five quarts of lemonade, how much lemonade mix is needed?

• One cup

• Three cups

• Two and a half cups

• Two cups

How do you fill in the top row of the table when scaling the lemonade recipe?

• Add one cup of lemonade mix in each cell

• Add a quarter cup of lemonade mix in each cell

• Add two cups of lemonade mix in each cell

• Add a half cup of lemonade mix in each cell