Big Ideas Chapter 5

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 4:3), as a fraction (e.g., 4/3), or in words (e.g., '4 to 3').

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the point (0,0) in proportional relationships?

Back

The point (0,0) indicates that when the independent variable is zero, the dependent variable is also zero, which is a key characteristic of proportional relationships.

Tags

CCSS.7.RP.A.2D

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is a constant.

Tags

CCSS.7.RP.A.2C

Front

How can you determine if an equation is proportional?

Back

An equation is proportional if it can be rearranged to the form y = kx, indicating a constant ratio between y and x.

Tags

CCSS.7.RP.A.2C

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A

Front

What is the ratio of water to flour in the recipe that uses 3/4 cup of water and 3 cups of flour?

Back

The ratio of water to flour is 3/4 : 3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if a graph trends upward but does not pass through (0,0)?

Back

It means the relationship is not proportional, as it does not maintain a constant ratio starting from the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio and pass through (0,0), while non-proportional relationships do not.

Tags

CCSS.7.RP.A.2D