## Ratio and Rates Word Problems

#### Aligned To Common Core Standard:

**Grade 6 Proportional Relationships** - 6.RP.A.3a

**What Is the Difference Between a Ratio and a Rate?**-
It is mathematics where we learn the concept of 'ratio' or 'rate'. This term is very common in statistics and businesses too. While both the terminologies specify the relationship between two or more quantities, they are poles apart from each other. Let's discuss both of these in detail to identify the difference between the two.
"Rate" - used to express amount, quantity or frequency with which a certain event occurs or happen. It is commonly expressed as the number of times it has happened for every thousand of the total population. It compares two measurements of different units and signifies how much time it takes to accomplish something. For example, the distance per unit time; 40 miles/hour.
"Ratio," on the other hand, is the relationship or a connection between quantities such as their number, amount, size, or the extent or degree of those two or more similar quantities. It is the proportion of one thing in comparison with the other. A ratio explains the correlation of one thing with another, things, people or units.
Consider this example: "Emma has five apples while Tom has ten."
The ratio of Emma's apples to Tom's is 5:10. It can also be expressed as 2:1. This rate can be applied to future situations and help you predict future outcomes.

### Printable Worksheets And Lessons

- On the Hunt Step-by-step Lesson- I use the subtle words "catching" rather than "hunting" just in case younger students are very advanced.
- Guided Lesson - Hello ratio tables! We meet again! We also look into equivalent ratios.
- Guided Lesson
Explanation - Ratio tables seem to help out in all of these
problems.

- Practice Worksheet - A three pronged approach. Ratio tables, word problems, and we get the tri-fecta with equivalent proportions.
- Ratio Word Problems 5 Pack - Relatively straight lined questions are found in this pack.
- Ratio Word Problem Five Pack (Harder) - Slightly more difficult problems in this pack.
- Matching Worksheet - We match equivalent ratios.

#### Homework Sheets

Complete with word problems, ratio tables, and numeric fixed ratios.

- Homework 1 - Liam and Noah went for a tour. On the first day Liam ate 3 burgers and Noah ate 5 slices of pizza. One the second day Liam ate 4 burgers and Noah ate 3 slices of pizza. One which day of the tour did Liam and Noah eat a higher ratio of burgers to pizza?
- Homework 2 - Complete the ratio tables in section b.
- Homework 3 - Circle the two ratios that are equal. We can see that the numbers can easily be reduced. Let's reduce them all to see which pair is equal.

#### Practice Worksheets

I focus this section on getting students to master the use of cross multiplication.

- Practice 1 - Are these ratios equivalent? You will review a number of different scenarios.
- Practice 2 - Find the equal ratios. You will have to choose between four groups.
- Practice 3 - Complete the ratio tables. You have three given values that leads you to determine the missing value.

#### Math Skill Quizzes

We test all forms of the skill to give students a complete picture of where they are at.

- Quiz 1 - Are these ratios equivalent? It is a simple Yes or No activity for you. 9 boxes to 9 students 12 boxes to 24 students
- Quiz 2 - Complete the missing values for each ratio table. This one has the value jump around.
- Quiz 3 - A mixed review. This will have you determine the unit rate to complete the remainder of the exercise.