Understanding Ratios and Proportions

The video tutorial covers the concept of proportional relationships using double and triple number lines. It begins with a warm-up on double number lines, followed by an activity involving drink mix ratios to identify which mixture tastes different. The lesson progresses to using a triple number line to compare mixtures, emphasizing the importance of equivalent ratios. The session concludes with a summary of proportional relationships and a cool down exercise.

What is the relationship between the numbers on a double number line if the bottom number is 1 and the top number is 2?

• The top number is triple the bottom number.

• The top number is double the bottom number.

• The top number is half of the bottom number.

• The top number is the same as the bottom number.

In a recipe, if 2 eggs require 4 cups of flour, how many cups of flour are needed for 1 egg?

• 3 cups

• 2 cups

• 4 cups

• 1 cup

Which recipe uses four times the amount of drink mix than it should, making it taste stronger?

• All recipes

• Recipe C

• Recipe B

• Recipe A

In the drink mix activity, what is the correct ratio of water to drink mix for Recipe B?

• 1 cup of water to 1/4 teaspoon of drink mix

• 2 cups of water to 1/2 teaspoon of drink mix

• 2 cups of water to 1/4 teaspoon of drink mix

• 1 cup of water to 1/2 teaspoon of drink mix

In the triple number line diagram, which mixture was found to be sweeter due to more sugar content?

• Mixture A

• Mixture C

• Mixture B

• All mixtures

What is the decimal approximation of 1/8 when converted from a fraction?

• 0.0625

• 0.1875

• 0.125

• 0.25

Which Crescent Moon shape is not a scaled copy of the others?

• Shape A

• Shape B

• Shape C

• Shape D

How can you describe the difference in Shape D compared to Shapes A, B, and C?

• Shape D is a scaled copy.

• Shape D is stretched horizontally.

• Shape D is squished vertically.

• Shape D is identical to the others.

What is the term used to describe two situations that can be represented by equivalent ratios?

• Identical ratios

• Similar figures

• Proportional relationships

• Equivalent fractions

In the context of the lesson, what does it mean if two recipes have equivalent ratios?

• They have the same volume.

• They taste the same.

• They use the same ingredients.

• They are cooked at the same temperature.