Introduction to Slope

​Introduction to Slope

​LET'S REVIEW

Multiple Choice

Does the graph represent a proportional relationship?

• Yes, it is proportional.

• No, it is NOT proportional.

Multiple Choice

Is the graph proportional or non-proportional?

• Proportional
• Non-Proportional

Multiple Choice

In the equation y = 14x, what is the constant of proportionality?

• y
• x
• 14

Multiple Choice

Is the given table a proportional relationship? If so, what is the constant?

• Yes; 3
• Yes; 5
• No

​NEW INFORMATION

Slope is the STEEPNESS of a line.

​

It helps us make predictions and understand proportional relationships.​

​

​What is slope?

​

Multiple Choice

Which line appears steepest?

• Blue

• Green

• Yellow

• Red

• Purple

Identifying Slope of a Line

• Slope can tell us the direction of the line!

• Refresh yourself of the 4 types of slope using the picture to the right:

Multiple Choice

What type of slope?

• zero slope
• undefined
• negative
• positive

Multiple Choice

What type of slope?

• positive

• negative

• zero

• undefined

Multiple Choice

What type of slope?

• undefined
• positive slope
• negative slope
• zero slope

Multiple Choice

What type of slope?

• negative
• steep
• undefined
• zero slope

Finding the Slope of a Line

• Slope can tell us how steep a line is!

• Slope is written as a ratio (rise/run)

• Always make sure to simplify your answer!

One way to calculate a number value for slope is to count the rise (vertical change) and run (horizontal change) between any two points on the line

​

m=​

Rise over run

rise

run

rise

run

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

• 3

• $$\frac{1}{3}$$

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{5}{3}$$  

• $$\frac{3}{5}$$  

• 5

• $$\frac{5}{4}$$  

Multiple Choice

Find the slope of the line below using rise/run.

• 3

• $$\frac{1}{3}$$  

• 2

• 1

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{1}{2}$$  

• $$\frac{2}{1}$$  

• 2

• 1

CHALLENGE MODE

Multiple Choice

The slope "m" of this line is...

• $$\frac{-3}{4}$$  

• $$\frac{-2}{5}$$  

• $$\frac{1}{1}$$  

• $$\frac{-4}{3}$$  

Independent Work:

• Identify similar quadrilaterals​

• Identify Similar Triangles

​Some text here about the topic of discussion.

Independent Work