Middle School Math

Unit E: Analyzing Linear Equations

Unit Objectives:
  • Identify a pattern
  • Write an equation to represent a pattern and describe its rate of change
  • Find the slope of a line
  • Use rate of change to solve problems
  • Write and graph direct variation equations
  • Solve problems involving direct variation
  • Write and graph linear equations in slope-intercept form
  • Model real-world data with an equation in slope-intercept form
  • Write an equation of a line given the slope and one point on a line
  • Write an equation of a line given two points on the line
  • Write the equation of a line in point-slope form
  • Write linear equations in different forms
  • Write an equation of the line that passes through a given point, parallel to a given line
  • Write an equation of the line that passes through a given point, perpendicular to a given line
  • Interpret points on a scatter plot
  • Write equations for lines of best fit
Online Textbook Help

 

Defining Slope
Slope Calculation - a demonstration of the formula
Slope Calculation - an interactive graph (Earth Math)
Slope Calculation - an interactive graph
Slope and Intercepts
Slope, Equation, and y-intercept
The role of m and b in y = mx + b - an interactive graph
Interactive graph with Slope Intercept Form

Interactive Graph in Slope Intercept Form or Point Slope Form

Point Slope Form
Exploring Rate of Change - constant cost per minute
Exploring Rate of Change - changing cost per minute
Exploring Rate of Change - distance vs. speed
Scatter Plots
Line of Best Fit Investigation
Calculating the Line of Best Fit - an interactive graph
Graphing Calculator Help:
How to enter an equation and see the graph
How to enter an equation and see the table
How to change the x value in the table
How to enter data to construct a scatterplot
How to construct a scatterplot
How to find the line of best fit for a scatterplot

 

 

Practice HSA Release Items

Directions: Click on the links below to view HSA prototype items.

Write your answer on a sheet of paper.

You must use the back arrow of your browser to get back to this page.

Use the table at the bottom of this page to check your answers.

1. 2004 - item 31

CLG 1.1.2

2. 2004 - item 33

CLG 1.1.2

3. 2005 - item 3

CLG 1.1.2

4. 2005 - item 12

CLG 1.1.2

5. 2005 - item 18

CLG 1.1.2

6. 2006 - item 8

CLG 1.1.2

7. 2006 - item 12

CLG 1.1.2

8. 2006 - item 18

CLG 1.1.2

9. 2007 - item 10

CLG 1.1.2

10. 2007 - item 27

CLG 1.1.2

11. 2007 - item 28

CLG 1.1.2

12. 2008 - item 3

CLG 1.1.2

13. 2008 - item 14

CLG 1.1.2

14. 2008 - item 32

CLG 1.1.2

15. 2004 - item 19

CLG 1.2.1

16. 2004 - item 23

CLG 1.2.1

17. 2004 - item 29

CLG 1.2.1

18. 2004 - item 34

CLG 1.2.1

19. 2005 - item 14

CLG 1.2.1

20. 2005 - item 21

CLG 1.2.1

21. 2005 - item 23

CLG 1.2.1

22. 2005 - item 33

CLG 1.2.1

23. 2006 - item 13

CLG 1.2.1

24. 2006 - item 17

CLG 1.2.1

25. 2006 - item 21

CLG 1.2.1

26. 2007 - item 7

CLG 1.2.1

27. 2007 - item 22

CLG 1.2.1

28. 2007 - item 25

CLG 1.2.1

29. 2007 - item 31

CLG 1.2.1

30. 2008 - item 8

CLG 1.2.1

31. 2008 - item 11

CLG 1.2.1

32. 2008 - item 21

CLG 1.2.1

33. 2008 - item 34

CLG 1.2.1

34. 2004 - item 18

CLG. 3.2.2

35. 2004 - item 27

CLG. 3.2.2

36. 2005 - item 16

CLG 3.2.2

37. 2005 - item 29

CLG 3.2.2

38. 2006 - item 3

CLG 3.2.2

39. 2006 - item 16

CLG 3.2.2

40. 2006 - item 24

CLG 3.2.2

41. 2007 - item 6

CLG 3.2.2

42. 2007 - item 12

CLG 3.2.2

43. 2007 - item 21

CLG 3.2.2

44. 2008 - item 15

CLG 3.2.2

45. 2008 - item 31

CLG 3.2.2

 

 

 

 

Practice HSA Release Answers

Directions:

Adjust your browswer window to hide these answers while you answer the questions above.

Click on the links below to view sample answers for the BCR and ECR questions. Keep in mind that these pages show both good and not so good answers. Look at them carefully to determine what information the student included to get the better score.

You must use the back arrow of your browser to get back to this page.

1. G 2. BCR 3. A 4. ECR 5. G
6. C 7. ECR 8. D 9. D 10. C
11. ECR 12. B 13. ECR 14. C 15. ECR and ECR
16. H 17. J 18. 2250 19. 14 20. ECR
21. B 22. B 23. 40 24. D 25. A
26. D 27. ECR 28. B 29. 19 30. ECR
31. 240 32. A 33.D 34. G 35. BCR and BCR
36. BCR 37. A 38. C 39. BCR 40. ECR
41. BCR 42. ECR 43. C 44. D 45. ECR

Last update November 4, 2008