Algebra i chapter 4
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Algebra I Chapter 4. Directions: Plot and label the following points. 4. A(4, -1) B (5, 0) 5. A (-2, -3) B (-3, -2). Warm Up . 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?

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Warm up

Directions: Plot and label the following points.

4. A(4, -1) B (5, 0)

5. A (-2, -3) B (-3, -2)

Warm Up


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


Practice

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


Practice1

Directions: Without plotting, identify the quadrant. plane.

19. (5, -3)

21. (6, 17)

23. (-4, -2)

25. (-5, -2)

Practice



Re teach1

Re-teach


Practice2

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

Practice


Closure repeat

81. 5 + 2 + (-3) questions on the flashcard.

83. -18 + (-10) + (-1)

91. 9x= 3

94. 24 = 8c

97. n/15 = 3/5

Closure ---REPEAT


Re teach2

Finding x- intercepts and y-intercepts of the graph. questions on the flashcard.

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


Re teach3

Finding x- intercepts and y-intercepts of the graph. questions on the flashcard.

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


Re teach4

Step 4- After you solve for x and y plot your points. questions on the flashcard.

Step 5- Draw a quick line

Re-teach


Practice3

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


Warm up2

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


Re teach5
Re-teach Explain whether the slope is positive, negative or undefined.


Re teach6
Re-teach Explain whether the slope is positive, negative or undefined.


Practice4

Directions: Use the slope formula to find the slope and graph the line.

21. (1, 5) (5, 2)

23. (0, -6) (8, 0)

29. (3, 6) (3, 0)

Practice


Closure repeat1

45. 4b = 26 – 9b graph the line.

51. 3x + 12 = 5(x + y)

Closure---REPEAT


Re teach7
Re-teach graph the line.

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.


Practice5

12. y=3x graph the line.

13. -2/5x

15. y=-3x

Practice


Re teach8

Examples: Variables x and y vary directly. graph the line.

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


Graph the equation 13 y 2x 1 15 y 2 3x 33 y 2
Graph the equation: graph the line. 13. y=2x - 115. y = 2/3x33. y = 2

Warm Up


Slope intercept form y mx b slope is m y intercept is b y is different than the y intercept
Slope-Intercept Form: graph the line. y = mx + bSlope is mY intercept is b *** Y IS DIFFERENT THAN THE Y INTERCEPT***

Re-teach


13 y 6x 4 21 12x 4y 2 0
13. y= 6x + 4 graph the line. 21. 12x +4y – 2 = 0

Practice


Re teach9

Graphing Equations- graph the line.

Parallel lines- have the same slope

Perpendicular lines- have a different slope but the same y intercept

Re-teach


Practice6

Functions: Is it or isn’t it? graph the line.

Practice


Re teach10

f(x) graph the line.

g(x)

h(x)

What do they mean?

21. g(x) = 8x -2 ; x =2, 2 = 0, x = -3

Re-teach


Practice7

f(x) graph the line.

g(x)

h(x)

Directions: Solve the function.

23. g(x) = 1.25x; x =2, 2 = 0, x = -3

27. 2/5x + 7

Practice


Review functions

Directions: Graph the function. graph the line.

32. f(x) = -2x + 5

34. h(x) = 5x – 6

38. f(x) 4x + 1

Review--Functions


Practice8

Directions: Grab a flashcard split into two groups. graph the line.

Solve problems 56-58 on flashcard.

Practice


Review chapter test

  • Scatter Plots graph the line.

  • 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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