what is a proportional relationship?. in this lesson you will learn to how to create proportional...
TRANSCRIPT
What is a proportional relationship?
In this lesson you will learn to how to create proportional relationships by expanding
ratios.
Let’s Review
A ratio is a comparison between two quantities that are related.
A Common Mistake
Since the ratio of pineapples to apples is 2 to 3, there must be just 2 pineapples and three apples.
Core Lesson Ratios express a constant pattern of a relationship
hamburger:
The ratio of buns to patties is 2 : 1.
For every two buns, there is one patty.
Core Lesson
4 : 2 6 : 3
6 : 3 reduces to 2 : 1
4 : 2 reduces to 2 : 1
2 : 1 means a pattern of two buns for every
patty
2 : 1
Core Lesson
A ratio can have larger equivalent ratios just like a fraction can have
larger equivalent fractions.
1 : 4x2 x2
2 : 8
In this lesson, you learned how to create proportional
relationships by expanding ratios.
Guided Practice
The ratio of orange to green candy in a bowl is 1 to 2. Draw a picture of how a
bowl with 12 pieces would look.
Extension Activities
Select a different groups of students in your class and record their liking of the following hobbies. Do any of these ratios have a
proportional relationship? If so, which ones? : students like sports.
: students like to play video games. : students like to cook. : students like to dance. : students like to sing.
Quick Quiz
Proportional relationships can be difficult to understand.
Describe what you would say if you were going to explain this concept to a fellow classmate who doesn’t get it.