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Algebra I Chapter 4.

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Presentation on theme: "Algebra I Chapter 4."— Presentation transcript:

1 Algebra I Chapter 4

2 Warm Up Directions: Plot and label the following points.

3 Re-teach How do you plot an ordered pair?
How do you write an ordered pair? What are quadrants? How do we name them? What is the origin? What is the vertical axis? What is the horizontal axis? Re-teach

4

5 Directions: Plot and label the ordered pairs in a coordinate plane. 13
Directions: Plot and label the ordered pairs in a coordinate plane. 13. A (0,3) B (-2, 1) C (2, 0) 15. A (4, 1) B (0, -3) C (3, 3) 17. A (-4, 1) B (-1, 5) C (0, -4) Practice

6 Directions: Without plotting, identify the quadrant. 19. (5, -3) 21
Practice

7 Complete the following work on the given worksheet.
Warm Up

8 Re-teach What is equation form?
How do we rewrite a function to equation form? -3x + y= 12 2x + 3y = 6 x + 4y = 48 Re-teach

9 Directions: Partner with another person and complete the questions on the flashcard.
Practice

10 81. 5 + 2 + (-3) 83. -18 + (-10) + (-1) 91. 9x= 3 94. 24 = 8c 97. n/15 = 3/5
Closure ---REPEAT

11 Finding x- intercepts and y-intercepts of the graph
Finding x- intercepts and y-intercepts of the graph. 2x + 3y = 6 Solving for x. Step 1- Write the original equation. Step 2 – Substitute 0 in for y. Step 3- Solve for x. Re-teach

12 Finding x- intercepts and y-intercepts of the graph
Finding x- intercepts and y-intercepts of the graph. 2x + 3y = 6 Solving for y. Step 1- Write the original equation. Step 2- Substitute 0 for x. Step 3- Solve for y. Re-teach

13 Step 4- After you solve for x and y plot your points
Step 4- After you solve for x and y plot your points. Step 5- Draw a quick line Re-teach

14 Directions: Partner up and get a piece of construction paper
Directions: Partner up and get a piece of construction paper. Solve the problems for your group and create a poster of the steps on how to solve. Group 1 Group 2 Group 3 x + 3y = 5 x – 2y = 6 2x + 6y=-24 3x + 4y = 12 5x – y = 45 -x + 3y = 27 Practice

15 Directions: Plot the points, and draw a line through them
Directions: Plot the points, and draw a line through them. Explain whether the slope is positive, negative or undefined. 12. (6, 9) (4, 3) 17. (0, 0) (-5, 3) 19. (2, -2) (2, -6) Warm Up

16 Re-teach

17 Re-teach

18 Directions: Use the slope formula to find the slope and graph the line
Practice

19 45. 4b = 26 – 9b 51. 3x + 12 = 5(x + y) Closure---REPEAT

20 Re-teach y= kx (model for direct variation)
To Find the constant of variation and the slope. Ex: y=-5x (0,0) (1,2) Step 1- Plug the number (-5) in for k. The constant of variation is k=-5 Step 2- Use the slope formula to find the slope. Re-teach

21 12. y=3x /5x 15. y=-3x Practice

22 Re-teach Examples: Variables x and y vary directly. x=5; y =20
Write an equation that relates x and y. Find the value of y when x = 10 Step 1- Write the model for direct variation. Step 2- Substitute 5 in for x and 20 in for y. Step 3- Solve. Step 4- Substitute 10 in for the value of x. Re-teach

23 Graph the equation: 13. y=2x - 1 15. y = 2/3x 33. y = 2
Warm Up

24 Slope-Intercept Form: y = mx + b Slope is m Y intercept is b
Slope-Intercept Form: y = mx + b Slope is m Y intercept is b *** Y IS DIFFERENT THAN THE Y INTERCEPT*** Re-teach

25 13. y= 6x x +4y – 2 = 0 Practice

26 Graphing Equations- Parallel lines- have the same slope Perpendicular lines- have a different slope but the same y intercept Re-teach

27 Functions: Is it or isn’t it?
Practice

28 f(x) g(x) h(x) What do they mean. 21
f(x) g(x) h(x) What do they mean? 21. g(x) = 8x -2 ; x =2, 2 = 0, x = -3 Re-teach

29 f(x) g(x) h(x) Directions: Solve the function. 23. g(x) = 1
f(x) g(x) h(x) Directions: Solve the function. 23. g(x) = 1.25x; x =2, 2 = 0, x = /5x + 7 Practice

30 Directions: Graph the function. 32. f(x) = -2x + 5 34. h(x) = 5x – 6 38. f(x) 4x + 1
Review--Functions

31 Directions: Grab a flashcard split into two groups
Directions: Grab a flashcard split into two groups. Solve problems on flashcard. Practice

32 Review Chapter Test Scatter Plots Linear Equations
Quick graphs with intercepts Graphs using slope-intercept form Solving linear equations Slope of a line Direct Variation Functions Review Chapter Test


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