Real-World Applications of Ratios and Rates

This pre-algebra lesson covers the concepts of ratios, rates, and unit rates. It includes practical examples such as comparing basketball free throw records, lifeguard earnings, dog food consumption, animal jumps, and water faucet flow rates. The lesson emphasizes using mathematical reasoning and equivalent ratios to solve multi-step problems.

What is the main focus of the lesson on connecting ratios, rates, and unit rates?

• Understanding algebraic expressions

• Learning about geometric shapes

• Exploring historical math concepts

• Solving multi-step problems using ratios

In the basketball contest, who had a better free throw record based on percentage?

• Elizabeth with 36%

• Alex with 40%

• Both had the same percentage

• Neither had a good record

Why is it important to compare the same number of free throws in the basketball contest?

• To ensure fairness in comparison

• To make the contest more exciting

• To confuse the participants

• To increase the number of attempts

Which mathematical model was used to justify reasoning in the basketball contest scenario?

• Geometric shapes

• Fractions and proportions

• Statistical analysis

• Algebraic equations

How do you calculate a unit rate?

• By adding the numerator and denominator

• By subtracting the denominator from the numerator

• By dividing the numerator by the denominator

• By multiplying the numerator and denominator

Who earns more per hour, Nathan or Dan?

• Nathan earns more

• Neither earns anything

• Dan earns more

• They earn the same

What is Jennifer's hourly rate as a lifeguard?

• $8.75

• $9.15

• $9.25

• $10.00

Does Brian have enough dog food for seven days?

• Yes, he has just enough

• No, he has less than needed

• No, he needs more

• Yes, he has more than enough

How many jumps does the rabbit need to cover the same distance as the kangaroo rat?

• 9 jumps

• 10 jumps

• 12 jumps

• 8 jumps

Which faucet fills a three-gallon container faster?

• Neither can fill the container

• Bathroom sink faucet

• Kitchen sink faucet

• Both fill at the same rate