# Lesson Plan: Types of Slope

## Lesson Objectives

- Identify and distinguish between positive, negative, zero, and undefined slopes
- Interpret the meaning of different slope types in real-world contexts
- Recognize slope types from graphs and equations

## Florida BEST Standards

- MA.8.AR.2.1: Given a table, graph or written description of a linear relationship, determine the slope.
- MA.912.AR.2.4: Given a table, graph or written description of a linear function, determine the slope and interpret it as a rate of change in real-world situations.

## Prerequisite Skills

- Familiarity with the coordinate plane and plotting points
- Understanding of the concept of slope as the ratio of the vertical change (rise) to the horizontal change (run) between two points
- Experience with using interactive graphing tools or online resources (a Desmos activity is provided in this lesson)

## Engage (5 minutes)

- Use these math clip art pieces to show different types of slopes:
__https://www.media4math.com/library/75389/asset-preview__ - Ask students to observe the directions of the lines and describe what they notice about the slopes.
- Encourage students to share their observations and discuss the differences in line directions.

## Explore (15 minutes)

- Play the following video, which describes the different types of slopes:
__https://www.media4math.com/library/75390/asset-preview__ - Review the following vocabulary terms:
- Positive Slope:
__https://www.media4math.com/library/42968/asset-preview__ - Negative Slope:
__https://www.media4math.com/library/42969/asset-preview__ - Zero Slope:
__https://www.media4math.com/library/42970/asset-preview__ - Undefined Slope:
__https://www.media4math.com/library/42970/asset-preview__

- Positive Slope:
- Have students use this Desmos activity:
. Students can change the slope of the line in two ways:__https://www.media4math.com/library/75388/asset-preview__- Clicking and dragging on one of the points
- Changing the values for a, b, c, and d to modify the coordinates.

- Have students use the Desmos activity to show examples of these types of slopes:
- Positive Slope
- Negative Slope
- Zero Slope
- Undefined Slope

**Evaluate (10 minutes)**

- Facilitate a class discussion by asking students to share their observations and findings from the previous activity.
- Address any misconceptions or clarify any confusions that may arise.
- Provide individual practice problems or a short quiz to reinforce the concepts of positive, negative, zero, and undefined slopes.

**Quiz**

- What type of slope does a line have if it is slanting upwards from left to right?

A. Positive slope

B. Negative slope

C. Zero slope

D. Undefined slope

- If a line is horizontal, what is its slope?

A. Positive slope

B. Negative slope

C. Zero slope

D. Undefined slope

- A vertical line has what type of slope?

A. Positive slope

B. Negative slope

C. Zero slope

D. Undefined slope

- Which type of slope would a line have if it is slanting downwards from left to right?

A. Positive slope

B. Negative slope

C. Zero slope

D. Undefined slope

- If the slope of a line is 0, what can you say about its direction?

A. It is slanting upwards

B. It is slanting downwards

C. It is a horizontal line

D. It is a vertical line

## Answers Key

1. A

2. C

3. D

4. B

5. C

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