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Intro to Ratios
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What you will learn from this videoWhat you will learn
- That a ratio describes the relationship between two quantities.
- How to make equivalent ratios and show them on a graph.
- That this knowledge can help us learn about pets, volunteer at an animal shelter, and find great deals when shopping.
- Discussion Questions
Before Video
When you hear the phrase “10% fruit,” what part of the juice is fruit and what part is water?ANSWER10% is fruit and 90% is water.
15.
ANSWERThere are 10 cats and 30 dogs.
A whole is split into 5 equal parts, and 3 of the parts are shaded.
3 parts are shaded, and 2 parts are not shaded.
After Video
Give an example of a part-to-whole ratio in words and in symbols.ANSWEROrange juice is 2 parts fruit concentrate out of 5 parts total. [ggfrac]2/5[/ggfrac] of the juice is fruit concentrate.
There are 3 pink carnations for every 2 red roses. 3 : 2
[ggfrac]8/40[/ggfrac] are teachers. 8 teachers : 32 students. 32 students : 8 teachers. [ggfrac]32/40[/ggfrac] are students.
10 : 20. 25 : 50. 300 : 600. 1,000 : 2,000. (The goal is to get past multiplying and dividing by 2.)
Use one row of data for the x-coordinates and the other row for the y-coordinates. Place a point for each ratio and draw a line between the points.
- Vocabulary
- Ratio DEFINE
A comparison of two amounts.
- Colon DEFINE
The math symbol used for the word “to.”
- Fraction DEFINE
A numerator over a denominator, separated by a fraction bar.
- Equivalent fractions DEFINE
Fractions that have the same value even though they contain different numbers.
- Part-to-part ratio DEFINE
A comparison of two parts from the same whole.
- Part-to-whole ratio DEFINE
A comparison of one of the parts of a whole to the total amount in the whole.
- Simplify DEFINE
To make as simple as possible (for example, converting a ratio of 20 : 48 to a ratio of 5 : 12).
- Coordinate Grid DEFINE
A two-dimensional space for graphing points and lines, set up with a horizontal x-axis and a vertical y-axis.
- Ratio DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide