Calculating Area and Unit Rates

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 this lesson?

• Understanding the concept of fractions

• Learning about ratios of fractions and their unit rates

• Exploring the history of mathematics

• Studying algebraic equations

What is the first step in solving the bathroom remodeling problem?

• Calculating the cost of tiles

• Measuring the height of the walls

• Finding the area of the floor

• Choosing the tile design

How do you calculate the area of the floor?

• By adding the length and width

• By multiplying the length by the width

• By subtracting the width from the length

• By dividing the length by the width

What is the area of the floor in square feet?

• 80 and 2/3

• 100 and 3/4

• 90 and 1/2

• 75 and 1/4

How many tiles are needed to cover the floor?

• 20 tiles

• 15 tiles

• 18 tiles

• 22 tiles

What is the total cost of the tiles?

• $95

• $90

• $85

• $80

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

• Yes, you have enough

• No, you need more money

• Yes, but only if you buy fewer tiles

• No, you need to choose cheaper tiles

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

• 30 miles per gallon

• 25 miles per gallon

• 23 miles per gallon

• 20 miles per gallon

Which car travels further on one gallon of gas?

• Both travel the same distance

• The blue car

• The red car

• Neither car travels far

What is the key takeaway from this lesson?

• Understanding how to write a ratio as a fraction

• Studying the history of unit rates

• Exploring different types of fractions

• Learning to calculate unit rates for ratios with fractions