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Algebra I Chapter 4

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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  1. Algebra I Chapter 4

  2. Directions: Plot and label the following points. 4. A(4, -1) B (5, 0) 5. A (-2, -3) B (-3, -2) Warm Up

  3. 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. 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

  5. Directions: Without plotting, identify the quadrant. 19. (5, -3) 21. (6, 17) 23. (-4, -2) 25. (-5, -2) Practice

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

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

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

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

  10. 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

  11. 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

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

  13. 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

  14. 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

  15. Re-teach

  16. Re-teach

  17. 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

  18. 45. 4b = 26 – 9b 51. 3x + 12 = 5(x + y) Closure---REPEAT

  19. 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.

  20. 12. y=3x 13. -2/5x 15. y=-3x Practice

  21. 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

  22. Graph the equation:13. y=2x - 115. y = 2/3x33. y = 2 Warm Up

  23. Slope-Intercept Form: y = mx + bSlope is mY intercept is b *** Y IS DIFFERENT THAN THE Y INTERCEPT*** Re-teach

  24. 13. y= 6x + 421. 12x +4y – 2 = 0 Practice

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

  26. Functions: Is it or isn’t it? Practice

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

  28. 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

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

  30. Directions: Grab a flashcard split into two groups. Solve problems 56-58 on flashcard. Practice

  31. 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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