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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Algebra I Chapter 4

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Algebra i chapter 4

Algebra I Chapter 4


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.

19. (5, -3)

21. (6, 17)

23. (-4, -2)

25. (-5, -2)

Practice


Warm up1

Complete the following work on the given worksheet.

Warm Up


Re teach1

  • What is equation form?

  • How do we rewrite a function to equation form?

    -3x + y= 12

    2x + 3y = 6

    x + 4y = 48

Re-teach


Practice2

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

Practice


Closure repeat

81. 5 + 2 + (-3)

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.

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.

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.

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 1Group 2Group 3

x + 3y = 5x – 2y = 62x + 6y=-24

3x + 4y = 125x – 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


Re teach6

Re-teach


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

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

Closure---REPEAT


Re teach7

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.


Practice5

12. y=3x

13. -2/5x

15. y=-3x

Practice


Re teach8

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


Graph the equation 13 y 2x 1 15 y 2 3x 33 y 2

Graph the equation: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: 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 + 421. 12x +4y – 2 = 0

Practice


Re teach9

Graphing Equations-

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?

Practice


Re teach10

f(x)

g(x)

h(x)

What do they mean?

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

Re-teach


Practice7

f(x)

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.

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.

Solve problems 56-58 on flashcard.

Practice


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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