Algebra I Chapter 4

Warm Up Directions: Plot and label the following points.

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

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

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

Complete the following work on the given worksheet. Warm Up

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

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

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

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

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

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

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

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

Re-teach

Re-teach

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

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

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

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

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

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

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

13. y= 6x + 4 21. 12x +4y – 2 = 0 Practice

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

Functions: Is it or isn’t it? Practice

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

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 = -3 27. 2/5x + 7 Practice

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

Directions: Grab a flashcard split into two groups 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