Algebra 1 Online!
Henrico County Public Schools, Virginia
 
Home
Modules
SOL
Resources
FAQ Search
Module - Linear Equations
Lesson 1 - Slope

Lessons

1-

Slope

2-

Point-Slope and Standard Form

3-

X- and Y-intercepts

4-

Slope-Intercept Form

5-

Graphing Linear Equations

6-

Graphing Linear Inequalities

7-

Module Review

 

 
SOL

A.6a -The student will graph linear equations and linear inequalities in two variables, including determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined.

Concept of Slope

The following construction shows a line that runs through the origin of the coordinate system and a moveable point M.

On the left, you can also see the corresponding linear equation.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)
Click to view the Geogebra lesson


Practice with Slope

To move the red line you may click on and move Points A and B. Stop each point at an intersection point on the grid. Slope is the ratio of the vertical change to the horizontal change between two points.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)
Click to view the Geogebra lesson

Finding Slope Given 2 Points

To move the red line click on point A or B and use the up and down arrow keys.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)
Click to view the Geogebra lesson

Common Core Standards
8.EE.5 8.EE.6 8.F.3 8.F.4 8.SP.3 A-CED.2 A-REI.10 A-REI.12 F-IF.6 F-BF.3 F-LE.2 S-ID.7
Warm-up
  1. Warm-up: Graphing Ordered Pairs (doc)
Lessons
  1. Notes: Finding Slope (ppt) | Student Notes (doc)
  2. Notes #2: Slope for the Mathematically Inclined (ppt) | Teacher Notes (pdf)
Videos
  1. Video: PH Finding slope using rise/run
  2. Video: PH Finding slope using coordinates
  3. Video: PH Finding the slope of horizontal or vertical line
Explore Learning
  1. Slope - Activity B: Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes.
Geogebra

 

Internet Sites
  1. Notes: Using Slope to Graph Lines - notes on graphing using slope at Purplemath.com
  2. Notes: Slope of Lines - notes on finding slope at Purplemath.com
  3. Interactive: Geoboard - Interactive math manipulative at matti.usu.edu that uses a virtual geoboard to find the slope between two points. Select Geoboard from the list.
  4. Interactive: Slope Activity - adjust the line on a graph to identify the correct slope.
Tasks
  1. ExploreLearning: Distance-Time and Velocity-Time Graphs: Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time

 

Homework
  1. Finding Slope Worksheet (doc)
  2. Project Graduation Quotable Puzzle (doc) | (pdf)
  3. Slope for the Mathematically Inclined worksheet (doc) | (pdf) | Slope Application video (mov)
  4. Lab Activity - Finding Slope with Stairs (pdf)
  5. Slope Exploration worksheet (doc) | (pdf)
  6. Geoboard Slope worksheet (pdf)
  7. Glencoe PWS (pdf)
  8. Glencoe SG (pdf)
Journal
  1. Road Sign: Explain what is meant by the road sign below..
Study Guide
  1. ExamView Quiz: Slope
  2. Prentice Hall Quiz
Other
HCPS 2002-