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.
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?
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?