Unit Rates and Area Calculations

Mrs. Zapia introduces Lesson 12 on ratios of fractions and unit rates, focusing on real-world applications. The lesson includes a practical example of remodeling a bathroom, where students calculate the cost of tiles needed based on area and budget constraints. An exercise follows, comparing the mileage of two cars using unit rates. The lesson concludes with a recap of key concepts, emphasizing the calculation and application of unit rates in various contexts.

What is the main focus of the lesson introduced by Mrs. Zapia?

• Studying the history of mathematics

• Exploring ratios of fractions and their unit rates

• Understanding algebraic expressions

• Learning about geometric shapes

In the bathroom remodeling example, what is the first step in solving the problem?

• Calculating the cost of tiles

• Determining the shape of the bathroom

• Finding the area of the floor

• Choosing the color of the tiles

How do you calculate the area of the floor in the example?

• By subtracting the width from the length

• By multiplying the length by the width

• By adding the length and width

• By dividing the length by the width

What is the size of each tile used in the bathroom example?

• 6 square feet

• 4 and 2/3 square feet

• 5 square feet

• 3 and 1/2 square feet

How many tiles are needed to cover the bathroom floor?

• 16 tiles

• 18 tiles

• 20 tiles

• 15 tiles

What is the total cost of the tiles if each tile costs $5?

• $100

• $95

• $90

• $85

Do you have enough money to buy the tiles if you have a budget of $100?

• No, you need more money

• Yes, you have enough

• No, you need to find cheaper tiles

• Yes, but only if you buy fewer tiles

What is the unit rate of the blue car in terms of miles per gallon?

• 22 miles per gallon

• 23 miles per gallon

• 20 miles per gallon

• 25 miles per gallon

Which car travels further on one gallon of gas?

• Neither car travels far

• The blue car

• The red car

• Both travel the same distance

What concept did you learn about unit rates in this lesson?

• Unit rates are always less than one

• Unit rates are not useful in real life

• Unit rates can include fractions

• Unit rates are only applicable to whole numbers