Download presentation
Presentation is loading. Please wait.
Published bySuzan Horton Modified over 9 years ago
2
Today’s Agenda E – E – How do you rewrite equations from standard form to slope-intercept form? A - A - Warm-up: Writing systems equations Journal: Describe 2 ways to graph a line Review: Looking at y=mx+b T - T - New: Rewriting equations from standard to slope- intercept form (graphic organizer) Classwork: Racing Game S – S – Journal writing to answer LEQ Homework: Rewriting Equations worksheet 1 10/13/2015Geometry CP
3
JOURNAL TIME (8 mins) Directions: Write down the journal prompt and then answer Describe the 2 different ways to graph a line that we have learned in class so far (Be specific) Which way do you prefer and why? 10/13/2015Geometry CP 2
4
Rewriting Equations Rewriting Equations LEQ L esson E ssential Q uestion: How do you rewrite equations from standard form to graphing form? 10/13/2015 3 Geometry CP
5
2 Forms of Linear Equations 2 Forms of Linear Equations The forms of linear equations are the formats in which the information is written in. These two forms are the most commonly used ways to write linear equations. 1. Standard Form: Ax + By =C 2. Slope Intercept Form: y=mx+b 10/13/2015Geometry CP 4
6
Important!!! Important!!! This is one of the BIG concepts you learned in Algebra I. You need to thoroughly understand this! Slope – Intercept Form y = mx + b m represents the slope b represents the y-intercept 10/13/2015 Geometry CP 5
7
Write the equation of a line that has a y-intercept of - 3 and a slope of - 4. y = -3x – 4 y = -4x – 3 y = -3x + 4 y = -4x + 3 Review: - Writing Equations Given Slope & Y-intercept 10/13/2015Geometry CP 6
8
Review: Find the slope and y-intercept of y = 4 – 2x m = 2; b = 4 m = 4; b = 2 m = -2; b = 4 m = 4; b = -2 10/13/2015Geometry CP 7
9
Standard Form to Slope Intercept Form Ax + By = C to y = mx + b 10/13/2015Geometry CP 8
10
What is Standard Form Standard Form is Ax + By = C Basically, if your x and y are on the same side of the equation, then it is in standard form. 10/13/2015Geometry CP 9
11
Identify the equations in standard form A. 2x – 4y = 6 B. y = 3x + 1 C. x – y = 1 D. 4y = 5x + 8 E. -x + 2y = 6 F. y = 1/3x + 2.5 G. 2y +7 = 3x 10/13/2015Geometry CP 10
12
Converting from standard form (Ax + By = C) to slope-intercept form (y = mx + b) 10/13/2015Geometry CP 11
13
Converting Standard to Slope-Intercept form 2x + 3y = 6 ax + by = c -2x-2x 3y = 6 - 2x 333 y = 2 - 23 x y = - + 2 23 x y = mx + b WE WANT THIS FORM!!! (Standard Form) (Slope- Intercept) 10/13/2015Geometry CP 12
14
3 Powerful Moves to get your equation into y= 1.MOVE X 2.DROP ALL 3.DIVIDE ALL 6X + 4Y = 12 10/13/2015Geometry CP 13
15
1.MOVE X Add or Subtract the x term to the other side of equals. 6X + 4Y = 12 -6x -6x 3 Powerful Moves to get your equation into y= 10/13/2015Geometry CP 14
16
2. DROP ALL Bring all terms down in order. Do not add or subtract unlike terms!!! 6X + 4Y = 12 -6x -6x 4y = 12 -6x 3 Powerful Moves to get your equation into y= 10/13/2015Geometry CP 15
17
3. DIVIDE ALL Divide each term by the number attached to y keep slope a fraction! 6X + 4Y = 12 -6x -6x 4y = 12 -6x 4 4 4 y= 3 – 3/2 x 3 Powerful Moves to get your equation into y= 10/13/2015Geometry CP 16
18
1.MOVE X 2.DROP ALL 3.DIVIDE ALL -4X + 3Y = 12 3 Powerful Moves to get your equation into y= 10/13/2015Geometry CP 17
19
1.MOVE X Add or Subtract the x term to the other side of equals. -4X + 3Y = 12 +4x +4x 3 Powerful Moves to get your equation into y= 10/13/2015Geometry CP 18
20
2. DROP ALL Bring all terms down in order. Do not add or subtract unlike terms!!! -4X + 3Y = 12 +4x +4x 3y = 12 +4x 3 Powerful Moves to get your equation into y= 10/13/2015Geometry CP 19
21
3. DIVIDE ALL Divide each term by the number attached to y keep slope a fraction! -4X + 3Y = 12 +4x +4x 3y = 12 +4x 3 3 3 y= 4 + 4/3 x 3 Powerful Moves to get your equation into y= 10/13/2015Geometry CP 20
22
The 3 Power Moves to getting lines into y = form. 1. 2. 3. MOVE the x term by Adding/Subtracting! Drop ALL! Divide ALL! 10/13/2015Geometry CP 21
23
Pair Race Directions Equations are going to flash on the screen. The first one to step forward and describe the first step to converting the equation will earn the point. First person to answer correctly wins! Everyone….Please pay attention 10/13/2015Geometry CP 22
24
Example 3x + 2y = 18 The first step is: Subtract 3x from both sides That would look like: 3x + 2y = 18 -3x -3x 2y = 18 – 3x 10/13/2015Geometry CP 23
25
Example -7x + 14y = 28 The first step is: Add 7x to both sides That would look like: -7x + 14y = 28 +7x +7x 14y = 28 + 7x 10/13/2015Geometry CP 24
26
Let’s Race! As quickly and quietly as possible line up please! No hitting, touching, pushing, poking…just get in line! Ready, Set, GO!! 10/13/2015Geometry CP 25
27
4x + 5y = 10 Correct! Subtract 4x from both sides!! Great Job! 4x + 5y = 10 -4x -4x 5y = 10 – 4x 10/13/2015Geometry CP 26
28
-6x + 3y = 12 Correct! Add 6x to both sides!! Great Job! -6x + 3y = 12 +6x +6x 3y = 12 + 6x 10/13/2015Geometry CP 27
29
9x - y = -8 Correct! Subtract 9x from both sides!! Great Job! 9x - y = -8 -9x -9x - y = -8 – 9x 10/13/2015Geometry CP 28
30
10x - 20y = 20 Correct! Subtract 10x from both sides!! Great Job! 10x - 20y = 20 -10x -10x -20y = 20 – 10x 10/13/2015Geometry CP 29
31
-11x + 11y = 33 Correct! Add 11x to both sides!! Great Job! -11x + 11y = 33 +11x +11x 11y = 33 + 11x 10/13/2015Geometry CP 30
32
-4x + 2y = 8 Correct! Add 4x to both sides!! Great Job! -4x + 2y = 8 +4x +4x 2y = 8 + 4x 10/13/2015Geometry CP 31
33
-8x - 4y = -16 Correct! Add 8x to both sides!! Great Job! -8x - 4y = -16 +8x +8x -4y = -16 + 8x 10/13/2015Geometry CP 32
34
7x + y = -2 Correct! Subtract 7x from both sides!! Great Job! 7x + y = -2 -7x -7x y = -2 – 7x 10/13/2015Geometry CP 33
35
2x + 2y = 10 Correct! Subtract 2x from both sides!! Great Job! 2x + 2y = 10 -2x -2x 2y = 10 – 2x 10/13/2015Geometry CP 34
36
-5x + 3y = -9 Correct! Add 5x to both sides!! Great Job! -5x + 3y = -9 +5x +5x 3y = -9 + 5x 10/13/2015Geometry CP 35
37
-8x - 4y = 24 Correct! Add 8x to both sides!! Great Job! -8x - 4y = 24 +8x +8x -4y = 24 + 8x 10/13/2015Geometry CP 36
38
6x – 12y = -36 Correct! Subtract 6x from both sides!! Great Job! 6x – 12y = -36 -6x -6x -12y = -36 – 6x 10/13/2015Geometry CP 37
39
-2x – 2y = -14 Correct! Add 2x to both sides!! Great Job! -2x – 2y = -14 +2x +2x -2y = -14 + 2x 10/13/2015Geometry CP 38
40
GREAT GAME!!!! Please go back to your seats, we are going to return to our notes and get this first step written down and committed to memory 10/13/2015Geometry CP 39
41
First Step Example Problem 1 6x + 3y = 9 10/13/2015Geometry CP 40
42
First Step Example Problem 2 -10x + 2y = 8 10/13/2015Geometry CP 41
43
First Step Example Problem 3 x - 2y = 4 10/13/2015Geometry CP 42
44
First Step Example Problem 4 -x + y = -2 10/13/2015Geometry CP 43
45
First Step Example Problem 5 -8x – 2y = -2 10/13/2015Geometry CP 44
46
Your Turn With your shoulder buddy, complete the 10 problems on the next page. Remember, you are only showing the first step! You have 5 minutes to get this completed 10/13/2015Geometry CP 45
47
Pair Race Directions Equations are going to flash on the screen. The first one to step forward and show the first AND second steps to converting the equation will win. Circle the slope and square on y-intercept What ever side of the room has the most points wins! EVERYONE….Please pay attention 10/13/2015Geometry CP 46
48
Example 4x + 2y = 18 The first step is: Subtract 4x from both sides That would look like: 4x + 2y = 18 -4x -4x 2y = 18 – 4x The second step is: Divide everything by 2 2y = 18 – 4x 222 Final Result: y = 9 – 2x 10/13/2015 Geometry CP 47
49
Example -14x + 7y = 28 The first step is: Add 14x to both sides That would look like: -14x + 7y = 28 +14x +14x 7y = 28 + 14x The second step is: Divide everything by 7 7y = 28 + 14x 77 7 Final Result: y = 4 + 2x 10/13/2015Geometry CP 48
50
Example -8x – 2y = -10 The first step is: Add 8x to both sides That would look like: -8x – 2y = -10 +8x +8x -2y = -10 + 8x The second step is: Divide everything by -2 -2y = -10 + 8x -2 Final Result: y = 5 – 4x 10/13/2015Geometry CP 49
51
Example 12x – 6y = 18 The first step is: Subtract 12x from both sides That would look like: 12x – 6y = 18 -12x -12x -6y = 18 – 12x The second step is: Divide everything by -6 -6y = 18 – 12x -6 Final Result: y = -3 + 2x 10/13/2015Geometry CP 50
52
Let’s Race Again! Ready Set GO!! 10/13/2015Geometry CP 51
53
4x + 5y = 10 First Step? Correct! Subtract 4x from both sides!! 4x + 5y = 10 -4x -4x 5y = 10 – 4x Second Step? Correct! Divide everything by 5!! 10/13/2015Geometry CP 52
54
10/13/2015Geometry CP 53 5y = 10 – 4x y = 2 – 4/5x
55
-6x + 3y = 12 Correct! Add 6x to both sides!! -6x + 3y = 12 +6x +6x 3y = 12 + 6x Second Step? Correct! Divide everything by 3!! 10/13/2015Geometry CP 54
56
10/13/2015Geometry CP 55 3y = 12 + 6x y = 4 +2x
57
9x - y = -8 Correct! Subtract 9x from both sides!! 9x - y = -8 -9x -9x - y = -8 – 9x What’s in front of the y…that is always there…we just don’t write it (because mathematicians are lazy )? - 1y = -8 – 9x Second Step? Correct! Divide everything by -1!! 10/13/2015Geometry CP 56
58
10/13/2015Geometry CP 57 -y = -8 – 9x y = 8 +9x
59
10x - 20y = 20 Correct! Subtract 10x from both sides!! 10x - 20y = 20 -10x -10x -20y = 20 – 10x Second Step? Correct! Divide everything by -20 10/13/2015Geometry CP 58
60
10/13/2015Geometry CP 59 -20y = 20 – 10x y = -1 +1/2x
61
-11x + 11y = 33 Correct! Add 11x to both sides!! -11x + 11y = 33 +11x +11x 11y = 33 + 11x Second Step? Correct! Divide everything by 11 10/13/2015Geometry CP 60
62
10/13/2015Geometry CP 61 11y = 33 + 11x y = 3 +x
63
-4x + 2y = 8 Correct! Add 4x to both sides!! -4x + 2y = 8 +4x +4x 2y = 8 + 4x Second Step? Correct! Divide everything by 2 10/13/2015Geometry CP 62
64
10/13/2015Geometry CP 63 2y = 8 + 4x y = 4 +2x
65
-8x - 4y = -16 Correct! Add 8x to both sides!! -8x - 4y = -16 +8x +8x -4y = -16 + 8x Second Step? Correct! Divide everything by -4!! 10/13/2015Geometry CP 64
66
10/13/2015Geometry CP 65 -4y = -16 + 8x y = 4 - 2x
67
7x + y = -2 Correct! Subtract 7x from both sides!! 7x + y = -2 -7x -7x y = -2 – 7x Second Step? Correct! There is no second step! It’s already solved for y 10/13/2015Geometry CP 66
68
10/13/2015Geometry CP 67 y = -2 - 7x
69
2x + 2y = 10 Correct! Subtract 2x from both sides!! 2x + 2y = 10 -2x -2x 2y = 10 – 2x Second Step? Correct! Divide everything by 2!! 10/13/2015Geometry CP 68
70
10/13/2015Geometry CP 69 2y = 10 – 2x y = 5 -x
71
-5x + 3y = -9 Correct! Add 5x to both sides!! -5x + 3y = -9 +5x +5x 3y = -9 + 5x Second Step? Correct! Divide everything by 3 10/13/2015Geometry CP 70
72
10/13/2015Geometry CP 71 3y = -9 + 5x y = -3 +5/3x
73
-8x - 4y = 24 Correct! Add 8x to both sides!! -8x - 4y = 24 +8x +8x -4y = 24 + 8x Second Step? Correct! Divide everything by -4 10/13/2015Geometry CP 72
74
10/13/2015Geometry CP 73 -4y = 24 + 8x y = -6 - 2x
75
6x – 12y = -36 Correct! Subtract 6x from both sides!! 6x – 12y = -36 -6x -6x -12y = -36 – 6x Second Step? Correct! Divide everything by -12 10/13/2015Geometry CP 74
76
10/13/2015Geometry CP 75 -12y = -36 – 6x y = 3 +1/2x
77
-2x – 2y = -14 Correct! Add 2x to both sides!! -2x – 2y = -14 +2x +2x -2y = -14 + 2x Second Step? Correct! Divide everything by -2 10/13/2015Geometry CP 76
78
10/13/2015Geometry CP 77 -2y = -14 + 2x y = 7 - x
79
Putting it all Together First & Second Step Example Problem 1 35x + 7y = 49 10/13/2015Geometry CP 78
80
Putting it all Together First & Second Step Example Problem 2 -20x – 5y = -30 10/13/2015Geometry CP 79
81
Putting it all Together First & Second Step Example Problem 3 -6x + 3y = 24 10/13/2015Geometry CP 80
82
Putting it all Together First & Second Step Example Problem 4 -x + 2y = 4 10/13/2015Geometry CP 81
83
Putting it all Together First & Second Step Example Problem 5 x + y = 8 10/13/2015Geometry CP 82
84
Putting it all Together First & Second Step Example Problem 6 x + 4y = 8 10/13/2015Geometry CP 83
85
Your Turn With your shoulder buddy, complete the 10 problems on the next page. Remember, you are completing the entire problem to solve for y. You have 10 minutes to get this completed 10/13/2015Geometry CP 84
86
ERROR ANALYSIS JARED 12x + 3y = 9 3y = 9 – 12x y = 3 – 4x Ali 12x + 3y = 9 4x + y = 3 y = -4x + 3 Four students rewrote the equation 12x + 3y = 9 into slope-intercept form. Determine who did it correctly. If the student did it incorrectly, explain the mistake. Molly 12x + 3y = 9 3y = 9 – 12x y = 3 – 12x Mia 12x + 3y = 9 3y = 9 – 12x y = 3 – 4x y = 4x - 3 10/13/2015Geometry CP 85
87
JOURNAL TIME!! What are the three power moves that get any standard form equation into slope- intercept form? Write an example problem and rewrite it from standard form into slope-intercept form! 10/13/2015Geometry CP 86
88
HOMEWORK! Complete the Slope Intercept and Standard Form wsht 10/13/2015Geometry CP 87
89
Pick a partner activity (10 mins) Pick a partner within your color group to work on the problem Make sure that you work TOGETHER and CHECK EACH OTHER’S WORK. This will be a graded assignment to earn bonus points on your quiz 10/13/2015Geometry CP 88
90
You have 2 minutes to find your partner! 10/13/2015Geometry CP 89 Purple Group Colette Dan Kayla Sydni Jonathan Phil Pink Group Megan Tyheim Tiyana Alisa Courtney Orange Group Daysia Taylor Chris M Shiela Andy Chris N Ashley Steven
91
Purple Group Directions: For the following problems find the x & y intercepts. Show work! Don’t forget that the x intercept happens when y=0 and the y intercept happens when x=0 Write all intercepts as an ordered pair (x,y) Finding X & Y intercepts a. 2x – 3y = 12 b. 2x + 3y = 12 c. 3x – y = 6 d. y – x = 5 10/13/2015Geometry CP 90
92
Orange Group Directions: Rewrite each equation into slope-intercept form (y =mx+b) Identify the slope and y-intercept Show all work! Rewriting Equations a)3x + 2y = 28 b) 5y = 15 – 2x c) 3y + 9 = 2x 10/13/2015Geometry CP 91
93
Pink Group Directions: Rewrite each equation into slope-intercept form (y =mx+b) Identify the slope and y-intercept Don’t forget the 3 POWER steps..Use your notes if needed! Show all work! Rewriting Equations a) x + y = 20 b) 5x + 4y = 24 c) 3x – 2y = 12 10/13/2015Geometry CP 92
94
10/13/2015Geometry CP 93
95
Solve Systems of Equations by the Graphing Method LEQ L esson E ssential Q uestion: Describe the types of solutions a system of equations can have? 10/13/2015 94 Geometry CP
96
What is a system of equations? A system of equations is when you have two or more equations using the same variables. The solution to the system is the point that satisfies ALL of the equations. This point will be an ordered pair. When graphing, you will encounter three possibilities. 10/13/2015 95 Geometry CP
97
Intersecting Lines (One Solution) The point where the lines intersect is your solution. What is the solution? The solution of this graph is (1, 2) (1,2) 10/13/2015 96 Geometry CP
98
Find the solution to the following system using the Graphing Method y = -2x + 4 y = x - 2 Graph both equations. I will graph using slope-intercept form. Graph the y-intercept, then the slope. y = -2x + 4 y –int. = (0, 4) and Slope = -2/1 or 2/-1 y = x - 2 y – int. = (0, -2) and Slope = 1/1 or -1/-1 10/13/2015 97 Geometry CP
99
Step 2: Graph the equations. y = -2x + 4 y = x - 2 Where do the lines intersect? (2, 0) 2x + y = 4 x – y = 2 10/13/2015 98 Geometry CP
100
Step 3: Check your answer! To check your answer, plug the point back in for x and y into both equations and simplify. y = -2x + 4 (0) = -2(2) + 4 0 = -4 + 4 0 = 0 y = -x + 2 (0) = -(2) + 2 0 = 0 Nice job…let’s look how to solve it using the graphing calculator ! 10/13/2015 99 Geometry CP
101
100 Quick Stop & Jot DO ALL LINES ALWAYS HAVE A POINT OF INTERSECTION? WHAT OTHER TYPES OF SOLUTIONS CAN SYSTEMS OF EQUATIONS HAVE? 10/13/2015
102
Geometry CP 101 Another type of solution How would you describe these lines? Y = 3x + 2 Y = 3x - 4 What do you think the solution, or point of intersection, is? 10/13/2015
103
Parallel Lines (No Solution) These lines never intersect! NO SOLUTION Since the lines never cross, there is NO SOLUTION! Parallel lines have the same slope with different y-intercepts. 10/13/2015 102 Geometry CP
104
Find the solution to the following system by the Graphing Method y = 2x – 3 y = 2x + 1 Graph both equations using slope and y-intercept. 10/13/2015 103 Geometry CP
105
Step 2: Graph the equations. y = 2x – 3 m = 2 and b = -3 y = 2x + 1 m = 2 and b = 1 Where do the lines intersect? No solution! Notice that the slopes are the same with different y-intercepts. If you recognize this early, you don’t have to graph them! 10/13/2015 104 Geometry CP
106
Step 3: Check your answer! Not a lot to check…Just make sure you set up your equations correctly. I double-checked it and I did it right… 10/13/2015 105 Geometry CP
107
Geometry Honors106 Another type of solution What do you notice about the graphs and equations? y = -3x + 4 3x + y = 4 What do you think the solution, or point of intersection is? 10/13/2015
108
Infinitely Many Solutions SAME LINE
109
Coinciding Lines (Infinitely Many Solutions) These lines are the same! INFINITELY MANY SOLUTIONS Since the lines are on top of each other, there are INFINITELY MANY SOLUTIONS! Coinciding lines have the same slope and y-intercepts. 10/13/2015 108 Geometry CP
110
109 Find the solution to the following system by the Graphing Method Graph 6x + 4y = 12 and 3x + 2y = 6 10/13/2015
111
Geometry CP 110 JOURNAL: Does it have a solution? 1) Determine whether the following have one, none, or infinite solutions by looking at the slope and y-intercept. Explain your reasoning. y = 4 -1/2 x y = 2x + 4 3) 2) y = -3/4x + 6 y = -3/4x - 6 y = -6x + 8 y + 6x = 8 10/13/2015
112
Geometry CP 111 Does it have a solution? 1) Determine whether the following have one, none, or infinite solutions by just looking at the slope and y-intercepts. 3)2) ANS: One Solution ANS: No Solution ANS: Infinite Solutions 10/13/2015 y = -3/4x + 6 y = -3/4x - 6 y = -6x + 8 y + 6x = 8 y = 4 -1/2 x y = 2x + 4
113
What is the solution of the system graphed below? 1. (2, -2) 2. (-2, 2) 3. No solution 4. Infinitely many solutions 10/13/2015 112 Geometry CP
114
What is the solution of this system using the Graphing Method? y = 2x - 2 y = 2x + 1 1. (2, -2) 2. (2, 1) 3. No solution 4. Infinitely many solutions 10/13/2015 113 Geometry CP
115
What is the solution of this system using the Graphing Method? y = 2x - 2 y = 1/2x + 4 1. (4, 6) 2. (6, 4) 3. No solution 4. Infinitely many solutions 10/13/2015 114 Geometry CP
116
What is the solution of this system using the Graphing Method? y = 3x - 8 1. (3, 1) 2. (4, 4) 3. No solution 4. Infinitely many solutions 10/13/2015 115 Geometry CP
117
What is the solution of this system using the Graphing Method? y = 4x - 2 -4x + y = -2 1. (4, -2) 2. (-2, 4) 3. No solution 4. Infinitely many solutions 10/13/2015 116 Geometry CP
118
Solving a system of equations by the Graphing Method Solving a system of equations by the Graphing Method Let's summarize! There are 3 steps to solving a system using a graph. Step 1: Graph both equations. Step 2: Do the graphs intersect? Step 3: Check your solution. Graph using slope and y – intercept. Be sure to use a ruler and graph paper! This is the solution! LABEL the solution (x, y)! Substitute the x and y values into both equations to verify the point is a solution to both equations. 10/13/2015 117 Geometry CP
119
Summarize Time In your journals, write today’s date and the question below. Describe systems of equations that have one solution, no solution, and infinitely many solutions? Include a graph and equations as examples. Answer the question in complete sentences with lots of details. 10/13/2015Geometry CP 118
120
Geometry CP 119 GRAPHING CALCULATOR Rewrite equation in y = form Use the INTERSECT function to find the intersection point 10/13/2015
121
Geometry CP 120
122
Geometry CP 121 Your turn: GRAPHING EXAMPLES y = - 3x and y = 2 – 4x x + y = 1 and 2x + y = 4 3x + y = 1 and y = 8 +1/2x 2x + y = 1 and 5x + 4y = 10 y = 2x + 3 and y = -4 + 2x 6x + 4y = 12 and 3x + 2y = 6 10/13/2015
123
Geometry CP 122 GRAPHING CALCULATOR EXAMPLES y = - 3x and y = 2 – 4x x + y = 1 and 2x + y = 4 3x + y = 1 and y = 8 +1/2x 2x + y = 1 and 5x + 4y = 10 y = 2x + 3 and y = -4 + 2x 6x + 4y = 12 and 3x + 2y = 6 10/13/2015 (2, - 6) (3, -2) (-2, 7) (-2, 5) No solution Infinitely Many
124
“All I Do Is Solve” (Part I) http://www.youtube.com/watch?v=qxHCEwrpMw0&NR=1 10/13/2015 123 Geometry CP
125
Check Your Understanding Solve the system of equations using the Graphing Method. Check your solution. y = 3x – 3 y = -x + 1 10/13/2015Geometry CP 124
126
Group Self-Evaluation Form Read each statement and rate your partner by circling one response for each statement. 10/13/2015Geometry CP 125
127
Homework Assignment Worksheet - Solve each system of equations by the Graphing Method. 10/13/2015Geometry CP 126
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.