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1 OBJ: SWBAT Solve a system of equations by graphing on a coordinate plane.

2 DOL: Given 4 systems of equations, students will find the solution by graphing 3 times (75%)

3 Thursday, Jan 1/22 Pick it up at the door and complete independently.

4 Thursday, Jan 1/22 Pick it up at the door and complete independently. Y = distance from Dallas X = number of hours. Mr. Dearing: y = 50 + 30x Mr. Minor: y = 10 + 40x

5 Systems of Equation Notes two or more equations that you solve at the same time. the two lines intercept. (-4, 3) Same solution:

6 Systems of Equation Types of Solutions Same slope Same y-intercept Same slope

7 Whiteboards How many solutions? y = 2x + 4 y = 2x + 1 No solutions

8 Whiteboards How many solutions? y = 2x + 4 -4x + 2y = 8 Divide by 2 2 2 -2x + y = 4 +2x Same equation y = 2x + 4 Infinite solutions

9 Whiteboards How many solutions? y = -3x + 4 y = 2x + 3 One solution

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11 This Week in Work (TWIW) Homework due TODAY Systems of Equations unit test Wednesday, Jan 28 th

12 Tutoring Morning (8:05 – 8:40 AM) Afternoon (4:15 – 5 PM) Monday Tuesday Wednesday Thursday Friday Saturday9:00 – 12pm

13 Goal SWBAT solve a system of equations by graphing (A.8B) Why This Matters Over the past 2 days, we have started to learn how write systems of equations to help us solve real world equations. Today we will explore one method to solve systems of equations. This all matters because many things in our world have multiple constraints on them (meaning you need to use system of equations). Our Goals This Week: DOL75%

14 White board Practice On your white board, graph the following y = 2x + 3 Y= -1/2x –4

15 White board Practice On your white board, graph the following X + y = 9 2y = 10 + 4x

16 White board Practice On your white board, graph the following -2y + 3x = 8 Y= x + -2

17 Key Point: The solution to a system of equations on a graph is where the lines INTERSECT!

18 Key Point: The solution to a system of equations on a graph is where the lines INTERSECT!

19 Let’s Recall….. There are three types of solutions: ___________________________________ - the lines intersect in ONE place. ___________________________________ - the two line NEVER intercept. ___________________________________ - the two lines are the SAME line One Solution Parallel Lines Infinite Solutions Graph the following graphs

20 Independent practice Directions Complete at least 5 problems If you have a question, ASK!

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