## What is a Ratio

#### Aligned To Common Core Standard:

**Grade 6 Proportional Relationships** - 6.RP.A.1

**How to Determine a Ratio of a Group **- Ratios are mathematical expressions that help students in comparing multiple numbers with each other. Ratio allows comparison of absolute amounts and quantities of a larger whole. Ratios are calculated and written in multiple ways, but their rules are universal.
We can easily determine the ratio in a group for unknown variables using basic mathematical rules. The most common principle for finding unknown ratios is using cross-multiplication method which is fairly simple.
The method involves writing ration in the form of a fraction then set two rations equal to one another and then cross-multiplying them.
Let's take an example. A small group of students with 5 girls and 2 boys. If this ratio is to be maintained. How many boys are there in a class where number of girls is 20.
Solution: to solve this problem, we need to make two ratios including our unknown variables: 2 boys : 5 girls = x boys : 20 girls
Converting these ratios into fractions: 2/5 and x/20
Now, cross-multiplication will give us: 5x = 40 or X = 8 Hence, there will be 8 boys in a class of 20 girls.

### Printable Worksheets And Lessons

- Picnic Step-by-step Lesson-
Compare the number of students that are staying home versus going
on a picnic.

- Guided Lesson - We
create ratios for everything. Yellow to pink dogs, people at the
beach, and chocolate cake or truffles.

- Guided Lesson Explanation
- I don't do everything for them in this one. They must do a little
bit of thinking.

- Practice Worksheet - A
whole bunch of word problems that you are to pull proportions from.

- Missing Proportions Five
Pack- Fill in the missing part of each proportion / ratio.

- Ratio Tables Five Pack
- Complete each table. It's all the same ration (top and bottom).

- Matching Worksheet - A visual proportion match set for you.

#### Homework Sheets

I really ran with different types of problems here. They are all in word problem form.

- Homework 1 - 4 children are watching T.V. 2 children are not watching T.V. What is the ratio of the number of children who are watching T.V. to the number of children who are not watching T.V.?
- Homework 2 - 7 people are going to a wedding and 4 people are staying at home. What is the ratio of the number of people who are staying at home to the number of people who are going to the wedding?
- Homework 3 - At a party, 9 couples are dancing. 5 couples are not dancing. What is the ratio of the number of couples that are dancing to the number of couples that are not dancing?

#### Practice Worksheets

We start with some visual ratios and then it's back to word problems.

- Practice 1 - What is the ratio of flowers to chocolate cones?
- Practice 2 - 10 students want to use laptops and 6 students want to use tablets. What is the ratio of the number of students that want to use laptops to the number of students that want to use tablets?
- Practice 3 - 9 boys and 5 girls took part in the music competition. What is the ratio of the number of girls to the number of boys who participate in the competition?