Grade 8 Illustrative math Function mid-unit

Front

What is the rate of change in a graph?

Back

The rate of change in a graph represents how much one quantity changes in relation to another quantity. It is often expressed as a ratio or a slope.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the rate of change from a graph?

Back

To calculate the rate of change, select two points on the graph, find the difference in the y-values (rise) and the difference in the x-values (run), and divide the rise by the run.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a slope of 40 miles per hour indicate?

Back

A slope of 40 miles per hour indicates that for every hour, the distance traveled is 40 miles.

Tags

CCSS.HSF.LE.B.5

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the meaning of a slope of 0.5 boys for every 1 girl?

Back

This means that for every girl, there are half a boy, indicating a ratio of boys to girls.

Tags

CCSS.8.EE.B.5

Front

How do you interpret the equation y = 0.5x + 1?

Back

In this equation, the slope is 0.5, meaning for every increase of 1 in x, y increases by 0.5, and the y-intercept is 1, meaning the line crosses the y-axis at (0,1).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does a graph with a positive slope indicate?

Back

A graph with a positive slope indicates that as one variable increases, the other variable also increases.

Tags

CCSS.8.EE.B.5

Front

What does a graph with a negative slope indicate?

Back

A graph with a negative slope indicates that as one variable increases, the other variable decreases.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of y when x is 0.

Front

How can you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope and the y-intercept, then use the slope-intercept form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2