Ratios and Rates in Real Life

This video tutorial for sixth-graders covers the Big Ideas Math seventh-grade section on ratios and rates. It begins with an introduction and lesson objectives, followed by definitions of key terms like ratios and rates. The video includes four examples: finding ratios and rates, using a ratio table, interpreting a graph, and solving a ratio problem with two methods. Each example is explained step-by-step, emphasizing the importance of understanding unit rates and complex fractions. The tutorial concludes with instructions for completing assignments and encourages students to seek help if needed.

What is a unit rate?

• A rate with a denominator of one

• A division of two similar quantities

• A comparison of two quantities using multiplication

• A ratio of two quantities with the same units

How do you express the ratio of 45 males to 60 females in simplest form?

• 45:60

• 4:3

• 1:2

• 3:4

If a subway car travels 2.5 miles in 5 minutes, what is its speed in miles per minute?

• 5 miles per minute

• 0.5 miles per minute

• 1 mile per minute

• 2 miles per minute

In a ratio table, what should you do if the units are not in the correct order?

• Ignore the order and proceed

• Rearrange the table to have the correct order

• Multiply all values by 10

• Divide all values by 2

What is the unit rate of artificial turf cost if 100 square feet cost $400?

• $5 per square foot

• $4 per square foot

• $3 per square foot

• $2 per square foot

How do you find the speed of a subway car from a graph?

• By measuring the slope of the line

• By counting the number of data points

• By adding the distances and times

• By multiplying the distances and times

What is a complex fraction?

• A fraction with a decimal

• A fraction with a negative number

• A fraction within another fraction

• A fraction with a numerator greater than the denominator

In the paint mixing problem, what is the ratio of yellow to blue paint?

• 1:1.5

• 1:1

• 1:2

• 1:1.25

How many cups of yellow paint are needed to make 15 cups of green paint?

• 3 cups

• 6 cups

• 9 cups

• 12 cups

What is the total amount of blue paint needed to make 15 cups of green paint?

• 5 cups

• 11 cups

• 9 cups

• 7 cups