Lesson 6: ratios and proportions
I Can...
...use linear equations to represent situations involving a constant rate of change.
...distinguish between proportional and non-proportional relationships.
...distinguish between proportional and non-proportional relationships.
Words to Know
Ratio: a comparison of two numbers by division, written x to y, or x:y, or x/y
Proportion: an equation stating two ratios are equal
Means: the middle terms of the proportion
Extremes: the first and last terms of the proportion
Rate: a ratio of two measurements have different units of measure
Unit Rate: a rate telling how many of one items is compared to 1 of another item
Scale: a model that is used when something is too large or small to be shown at its actual size
Scale Model: a 3-d reproduction of an item that has been reduced or increased in size proportionally
Proportion: an equation stating two ratios are equal
Means: the middle terms of the proportion
Extremes: the first and last terms of the proportion
Rate: a ratio of two measurements have different units of measure
Unit Rate: a rate telling how many of one items is compared to 1 of another item
Scale: a model that is used when something is too large or small to be shown at its actual size
Scale Model: a 3-d reproduction of an item that has been reduced or increased in size proportionally
Examples
1. Determine Whether Ratios are Equivalent
Video
Video
Tips
The product of the extremes are equal to the product of the means in a proportion.
The numerator and denominator of a ratio must be in the same unit, if applicable.
The numerator and denominator of a ratio must be in the same unit, if applicable.
Extra Examples
Click here for additional examples and self check quizzes
Problems of the Day
1. Solve: t/0.3 = 1.7/0.9
2. Solve: (2n - 4)/5 = (3n + 3)/10
2. Solve: (2n - 4)/5 = (3n + 3)/10