Exploring Rate, Ratio, and Unit Rate Concepts

This video tutorial covers the concepts of ratios, rates, and unit rates. It begins with an introduction to the materials needed for the lesson, followed by a detailed explanation of how to write and reduce ratios. The tutorial then distinguishes between ratios and rates, providing examples of each. It also explains how to calculate unit rates and apply this knowledge to find the best buy when shopping. The lesson includes interactive pauses for students to practice the concepts discussed.

What are the three ways to express a ratio?

• Colon, word 'to', and fraction

• Multiplication, division, and subtraction

• Addition, subtraction, and division

• Fraction, decimal, and percentage

Why is it important to reduce ratios?

• To simplify the comparison

• To make them more complex

• To increase their value

• To change their meaning

What distinguishes a rate from a ratio?

• A rate compares similar quantities

• A rate cannot be simplified

• A rate compares different units

• A rate is always written as a fraction

How do you calculate a unit rate?

• Add the numerator to the denominator

• Subtract the denominator from the numerator

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

What is the unit rate of Jeff typing if he types 30 words in half a minute?

• 15 words per minute

• 60 words per minute

• 120 words per minute

• 30 words per minute

What is the unit rate of a car that drives 200 miles in 4 hours?

• 50 miles per hour

• 25 miles per hour

• 200 miles per hour

• 100 miles per hour

What does 'Best Buy' refer to in the context of shopping?

• The item with the highest quantity

• The item with the best packaging

• The item with the lowest cost per unit

• The most expensive item

How many calories per ounce are there in a yogurt that has 192 calories in 6 ounces?

• 32 calories per ounce

• 30 calories per ounce

• 34 calories per ounce

• 28 calories per ounce

Which size is the better buy if one size costs 12 cents per ounce and another costs 13 cents per ounce?

• Both are equally good

• The one costing 12 cents per ounce

• Cannot determine with the given information

• The one costing 13 cents per ounce

Why should money always be on top when calculating unit price?

• It does not matter which is on top

• To follow convention

• To ensure accuracy

• To simplify calculations