Understanding Ratios and Unit Rates

Understanding Ratios and Unit Rates

Learning Objective

Understand the concept of ratios and unit rates and solve problems using them.

What do you already know about ratios and unit rates?

Slide 1: Introduction to Ratios

A ratio compares two quantities. It can be written in three ways: using the word 'to', using a colon, or as a fraction.

Slide 2: Understanding Unit Rates

A unit rate compares a quantity to one unit of another quantity. It is expressed as a ratio with a denominator of 1.

Slide 3: Calculating Unit Rates

To calculate a unit rate, divide the quantity by the total number of units. For example, miles per hour, cost per item, etc.

Slide 4: Solving Ratio Problems

Problems involving ratios can be solved by setting up proportions or using equivalent ratios.

Slide 5: Applications of Ratios and Unit Rates

Ratios and unit rates are used in various real-world scenarios such as cooking, shopping, and sports.

Slide 6: Practice Problems - Part 1

Solve the following ratio problems: 1) A recipe calls for 2 cups of flour and 3 cups of sugar. What is the ratio of flour to sugar? 2) If a car travels 240 miles in 4 hours, what is the unit rate of miles per hour?

Slide 7: Practice Problems - Part 2

Solve the following problems: 1) If 5 pounds of apples cost $10, what is the unit price per pound? 2) If a printer can print 120 pages in 5 minutes, what is the unit rate of pages per minute?

Slide 8: Conclusion and Recap

Summarize the key concepts of ratios and unit rates. Emphasize the importance of applying these concepts in real-life situations.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.