3.1.1 On a Slippery Slope

On the next slide we are going to consider the following:

Using your personal sledding experience or observation,
1. When does a sled move the fastest?
2. When does a sled move the slowest?
3. At what point does the sled stop?

Open Ended

Based on your personal experience or observation, when does a sled move the fastest and when does it move the slowest? At what point does the sled stop?

Match

Match the following types of lines with their descriptions.

Horizontal

Slanting upward

Slanting downward

Vertical

• Horizontal

• Slanting upward

• Slanting downward

• Vertical

Multiple Choice

Imagine that the lines shown are hills or ramps. Which one would be the hardest to climb?

• A

• B

• C

• D

Multiple Choice

Which type of slope does a horizontal line have?

• Positive

• Negative

• Zero

• Undefined

Match

Match each graph (A, B, C, D) with the correct type of slope: Positive, Negative, Zero, or Undefined.

Positive

Negative

Zero

Undefined

• Positive

• Negative

• Zero

• Undefined

Categorize

Options (8)

Climbing a ramp.

Riding an escalator at the mall from one floor down to the next floor.

Riding an escalator at the mall from one floor up to the next floor.

Descending a ramp.

Walking around the first floor of a mall.

A window washer scaling the side of a building.

A bowling ball moving down the lane.

An ant climbing a vertical tree.

Organize these real life scenarios into the slope category that best describes them.

Positive Slope

Negative Slope

Zero Slope

Undefined Slope

Multiple Choice

What happens to the direction of a line on a graph when the slope is negative?

• The line goes up from left to right

• The line goes down from left to right

• The line stays horizontal

• The line becomes vertical

Multiple Choice

Which steps are necessary to find the slope of a line on a graph?

• Find a starting and ending point, count the vertical distance, count the horizontal distance

• Find the midpoint, count the vertical distance, count the horizontal distance

• Find the starting point, count the horizontal distance, count the diagonal distance

• Find the ending point, count the vertical distance, count the diagonal distance

Multiple Choice

You Try!

What is the slope of this line shown?

• -3/2

• -2/3

• 2/3

• 3/2

​Show what you know!

Multiple Choice

Which of the following scenarios is a real-world example of negative slope?

• a caterpillar crawling along a flat sidewalk

• a rock climber climbing a vertical rock wall

• a biker biking up a hill

• a child sliding down a slide at a park

Hotspot

Which of the following graphs is an example of positive slope?

Math Response

What is the slope of this line?

Type answer here

Correct Answer: 5

Deg^°

Rad

Open Ended

How would you define a line with an undefined slope?

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Which of the following statements about slope is correct?

• A line with a positive slope rises from left to right.

• A line with a negative slope rises from left to right.

• A line with zero slope is vertical.

• A line with undefined slope is horizontal.