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Grade 7:  The Learning Equation Math

12.08 Rate and Ratio

Number Operations

Refresher pp 38-9
Learning Outcomes:

The student will:

Review

Concept

Explanation

Example

Unit Rate/Ratio
Ratio

"the relationship in quantity, amount, or size between two or more things"

source: http://mathforum.org/library/drmath/view/58042.html

To simplify (find the unit ratio) use GCF.  There are three ways to write ratios:

Match the Equivalent Ratio

 

3:9

4/12

5 to 20

 1:3

<1/3

1 to 4

Rate

"a fixed ratio between two things"

source: http://mathforum.org/library/drmath/view/58042.html

To simplify (find the unit rate) use GCF.

10 km per 2 h

$6 per 3 h

 5 km per h

<$2/h

 

Unit Ratio Calculator

Enter a ratio on the right hand side.  Click Calculate to find the unit ratio.   The first example has been entered for you for each type of ratio.  Explore unit ratios further.  Click Reset and enter your own numbers.
---------

=

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     1
:

=

: 1
to

=

to 1
 

Webmath:   Problems Dealing with Ratios - lots of interactive examples to place here

Problems Dealing with Rates - lots of interactive examples to place here

Scientific Calculator

 

Review:

Practice Quiz - a few questions with imperial instead of metric.

Ratios

 

Enrichment:

Applet of Ratio

 
Key Terms: A-E F-J K-O P-R S-Z

rate, ratio, equivalent factor, greatest common factor (GCF), lowest terms, simplified form, term

 

Prerequisite Skills:

Ratio and Proportion

Integer Bars (Cusenaire Rods): Learning Fractions

Equivalent Fractions using Cuisenaire Rods

Pattern Blocks: Exploring Fractions with Shapes

 

Factor Calculator

Quia! Matching - Factors

Greatest Common Factor Calculator

 

Least Common Multiple (LCM) Calculator

Greatest Common Divisor (GCD) corresponds to Greatest Common Factor (GCF)

source:  common.java

 

Least Common Multiple

 

 

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