Exploring Rates and Ratios

The video tutorial covers lesson 5.1 on ratios and rates, introducing key vocabulary such as ratio, rate, and unit rate. It provides examples of finding ratios and rates, including a practical example involving a subway car. The lesson also demonstrates how to use a ratio table to find unit rates and explains complex fractions with a focus on calculating speed. The tutorial concludes with an exit ticket for students to complete.

What is a ratio?

• A comparison of two quantities using subtraction

• A comparison of two quantities using multiplication

• A comparison of two quantities using division

• A comparison of two quantities using addition

How can a ratio be written?

• As a decimal, in words, or using a semicolon

• As a fraction, in words, or using a semicolon

• As a decimal, in words, or using a colon

• As a fraction, in words, or using a colon

What is a unit rate?

• A rate with the numerator of one

• A rate with the denominator of one

• A rate with both numerator and denominator of one

• A rate with neither numerator nor denominator of one

What is the reduced ratio of 45 males to 60 females?

• 4 to 5

• 3 to 5

• 5 to 4

• 3 to 4

What is the speed of the subway car in miles per minute?

• 0.5 miles per minute

• 1 mile per minute

• 2 miles per minute

• 0.25 miles per minute

What is the unit rate in dollars per square foot for 25 square feet costing $100?

• $4 per square foot

• $3 per square foot

• $2 per square foot

• $5 per square foot

What is a complex fraction?

• A fraction with a numerator and denominator that are both whole numbers

• A fraction with at least one fraction in the numerator, denominator, or both

• A fraction with a numerator that is a fraction and a denominator that is a whole number

• A fraction with a numerator that is a whole number and a denominator that is a fraction

What is the speed of the subway car in miles per minute using the point (1/2, 1/4)?

• 0.5 miles per minute

• 0.25 miles per minute

• 1 mile per minute

• 0.75 miles per minute

What is the first step in finding the speed of the subway car using a graph?

• Find the y-intercept of the line

• Draw a tangent to the line

• Calculate the slope of the line

• Choose a point and interpret it on the line

How do you divide fractions?

• Keep the first fraction the same, change division to multiplication, and multiply by the reciprocal of the second fraction

• Keep the first fraction the same, change division to addition, and add the reciprocal of the second fraction

• Keep the first fraction the same, change division to subtraction, and subtract the reciprocal of the second fraction

• Keep the first fraction the same, change division to multiplication, and multiply by the second fraction