Unit Rates and Ratios in Context

The video tutorial by Mrs. Arms covers lesson 2-2, focusing on determining unit rates with ratios of fractions. It includes various activities such as comparing plant growth, cupcake prices, cycling speed, lawn mowing times, and distance calculations. The lesson emphasizes the importance of unit rates and conversions for solving real-world problems. Students are guided through each activity with step-by-step instructions and encouraged to practice using equations and conversions.

Why is it important to convert units when comparing two different measurements?

• To make the numbers look bigger

• To ensure a fair comparison

• To avoid using calculators

• To confuse the students

What is the unit rate for the bakery selling 12 cupcakes for $10?

• $1.00 per cupcake

• $0.83 per cupcake

• $1.20 per cupcake

• $0.75 per cupcake

Which store offers a better deal on cupcakes based on the unit rate?

• The bakery

• Neither offers a good deal

• The supermarket

• Both offer the same deal

How many miles per hour did Sergio achieve if he traveled 7 miles in 15 minutes?

• 20 miles per hour

• 28 miles per hour

• 30 miles per hour

• 25 miles per hour

If Bronwyn mows 12,000 square feet in 2/3 of an hour, what is her mowing rate in square feet per hour?

• 18,000 square feet per hour

• 24,000 square feet per hour

• 12,000 square feet per hour

• 36,000 square feet per hour

What is the first step in solving a problem involving exponents and speed comparison?

• Choose the power and put the fit

• Divide the base by the exponent

• Add the exponents together

• Multiply the base by itself

How do you find the equivalent ratio when calculating distances between Omar and Chris?

• Multiply both fractions directly

• Subtract the smaller fraction from the larger one

• Use the multiplicative inverse

• Add the numerators and denominators

What is the result of converting an improper fraction to a mixed number in the context of Omar's school distance?

• 2 and one-fifth miles

• 4 and one-fifth miles

• 1 and three-fifths miles

• 3 and two-fifths miles

When calculating actual distances using maps, what is the first step?

• Divide the map distance by the actual distance

• Convert all measurements to inches

• Multiply the map distance by the actual distance

• Use the given map scale to find the actual distance

Why is it beneficial to write a ratio as a unit rate?

• It makes the ratio more complex

• It simplifies understanding and problem-solving

• It increases the number of calculations needed

• It provides a larger number to work with