It is time to review GRAPHING LINEAR EQUATIONS

1. It is time to review�GRAPHING LINEAR EQUATIONS Lovingly created by: your math teacher Ms. C. Chaboyer Objective of this MajorStAIR: While students are taught to graph linear equations in Pre-Algebra and Algebra, it seems to be a concept that causes difficulty and students often �forget� how to graph linear equations. This MajorStAIR is meant to be a remedial tutorial, not the initial teaching device. Relevant Standards (NCTM): Instructional programs should enable students to represent and analyze mathematical situations and structures using algebraic symbols. Objective of this MajorStAIR: While students are taught to graph linear equations in Pre-Algebra and Algebra, it seems to be a concept that causes difficulty and students often �forget� how to graph linear equations. This MajorStAIR is meant to be a remedial tutorial, not the initial teaching device. Relevant Standards (NCTM): Instructional programs should enable students to represent and analyze mathematical situations and structures using algebraic symbols.

2. What do I need?

3. How do I use this StAIR?

4. Yeah but�what will I learn? To identify slope and y-intercept when given an equation in slope-intercept form 2) To graph a linear equation when given an equation in slope-intercept form 3) To convert a linear equation from standard form to slope-intercept form 4) To graph a linear equation when given the equation in standard form.

5. We are scaffolding on their previous knowledge of concepts of coordinate planes and definitions learned in class. We are scaffolding on their previous knowledge of concepts of coordinate planes and definitions learned in class.

6. What is the slope-intercept form? We are using the Rule � Example format, which is a characteristic of deductive reasoning. Relevant Benchmarks (NCTM): All students should explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope.We are using the Rule � Example format, which is a characteristic of deductive reasoning. Relevant Benchmarks (NCTM): All students should explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope.

7. Need a Reminder about Slope and Y-Intercept?

8. What is the slope of a line? You can think of slope of a measure of the steepness of a line

9. 1. Slope is� Rise is the change in the vertical direction (y-direction) Run is the change in the horizontal direction (x-direction)

10. 2. Slope is� m in Therefore the slope of

11. Test your slope knowledge! Identify the slope of the line described by Immediate feedback will be given to students after each question asked.Immediate feedback will be given to students after each question asked.

12. Wow, too bad.

13. CONGRATULATIONS!!!

14. What is the y-intercept? The red point on the graph IS the y-intercept.

15. 1. y-intercept is� The point where the graph crosses the y-axis The coordinates of the y-intercept are always (0,y-value)

16. 2. y-intercept is� b in the equation Therefore the y-intercept of is 2

17. A quick review of y-intercept What is the y-intercept of the line shown?

18. Yikes! Too bad.

19. You got it right! Excellent!

20. Quiz So�you think that you know all about slope and y-intercept? Well, prove it! Take the 3 question quiz!

21. Question 1

22. Don�t get frazzled.

23. CONGRATULATIONS!!!

24. Question 2 What is the slope of the line that is expressed by

25. Wow, too bad. Let�s try that problem again, shall we?

26. Excellent work!

27. Question 3 What is the y-intercept of the graph shown?

28. Oops! Not quite right.

29. Hallelujah!!! You got it right!

31. Steps to follow

32. Lets try it together! Get out your graph paper, pencil and ruler We are going to try to graph a line together Ready? Lets GO!

38. Add my voice, �It is your turn to try it all on your own. Graph the line that you are given and compare it to the graph that you see on the next screen. Take your time.�Add my voice, �It is your turn to try it all on your own. Graph the line that you are given and compare it to the graph that you see on the next screen. Take your time.�

48. Forms of equations of lines Slope-intercept form Note: y is isolated Standard form Note: A, B and C are integers

49. Converting from  to Step 1: Isolate the y-term by subtracting the x term from both sides of the = sign. Step 2: Isolate the variable y by dividing all terms by the coefficient of y.

50. Example 1

55. Question 1

61. What we learned 1) To identify slope and y-intercept when given the equation of a line in slope-intercept form. 2) To graph a line when given the equation in slope-intercept form. 3) To convert from standard form to slope intercept form.

62. Reason it out! -You will be given three equations of lines in standard form. -Put together all the knowledge that you gained and graph the three lines on a fresh sheet of graph paper. Be sure to show all your work. -Give me your graph paper so I may check it.

63. Final Quiz On separate coordinate planes, graph each of the three lines that are described by the equations below. Students are required to take a further step in their learning and to scaffold their knowledge from earlier this StAIR. Students are required to take a further step in their learning and to scaffold their knowledge from earlier this StAIR.