Exploring Rates and Ratios in Mathematics

This video lesson introduces the concepts of ratios, rates, and unit rates, highlighting their real-life applications such as speed limits and gas prices. It guides students on preparing Cornell notes and explains how to express ratios in different forms. The lesson covers rates and unit rates with examples, including common unit rates like miles per hour and dollars per pound. Problem-solving strategies using the UPSC method are discussed, followed by instructions for independent practice on creating and analyzing ratios.

What are some examples of where we use ratios, rates, and unit rates in everyday life?

• Cooking recipes and ingredients

• Speed limits and gas prices

• Weather forecasts and climate data

• Movie ratings and reviews

How can ratios be written?

• As a fraction, using a colon, and in word form

• As a decimal, using a semicolon, and in word form

• As a percentage, using a colon, and in word form

• As a fraction, using a semicolon, and in word form

What is the ratio of 3 ovals to 2 rectangles?

• 2:3

• 3 to 2

• 3:2

• 2 to 3

What does a rate compare?

• Three quantities measured in different units

• Two quantities measured in the same units

• Two quantities measured in different units

• Three quantities measured in the same units

How is a unit rate written?

• As a percentage

• As a decimal

• As a whole number

• As a fraction

What is the unit rate if there are 120 students in 4 classrooms?

• 20 students per classroom

• 40 students per classroom

• 10 students per classroom

• 30 students per classroom

Which of the following is an example of a common unit rate?

• Number of weeks per month

• Number of miles per hour

• Number of days per week

• Number of hours per day

What is the minimum wage mentioned in the video?

• $10.00 per hour

• $8.50 per hour

• $7.25 per hour

• $9.75 per hour

What does the 'U' in UPSC problem-solving strategy stand for?

• Utilize

• Understand

• Unify

• Update

Which of the following is a part-to-whole ratio?

• Boys to students

• Students to girls

• Girls to boys

• Boys to girls