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DO Now (3 mins) PKB (Prior Knowledge Box) Topic: Systems of Linear Equations Misconceptions Complete this side only. List anything that you know about.

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Presentation on theme: "DO Now (3 mins) PKB (Prior Knowledge Box) Topic: Systems of Linear Equations Misconceptions Complete this side only. List anything that you know about."— Presentation transcript:

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2 DO Now (3 mins) PKB (Prior Knowledge Box) Topic: Systems of Linear Equations Misconceptions Complete this side only. List anything that you know about the above topic.

3 Standard Algebra 1-9.0: Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

4 Objective 1.Huskies will be able to predict the solutions to a system of two linear equations by graphing and solving. 2.Students will show a mastery by earning a 3 out of 4 (proficiency) on the exit slip.

5 Solve x + y = 7 x - y = 3 BY GRAPHING

6 Solve x + y = 7 x - y = 3 BY GRAPHING

7 Solve y = -x + 7 x - y = 3 BY GRAPHING

8 Solve y = -x + 7 y = x - 3 BY GRAPHING

9 Solve y = -x + 7 y = x - 3 BY GRAPHING

10 Solve y = -x + 7 y = x - 3 BY GRAPHING

11 Solve y = -x + 7 y = x - 3 BY GRAPHING

12 Solve y = -x + 7 y = x - 3 (5,2) BY GRAPHING

13 Solve y = -x + 7 y = x - 3 (5,2) BY GRAPHING

14 Solve y = -x + 7 y = x - 3 (5,2) BY GRAPHING

15 Solve x + y = 7 x - y = 3 BY SUBSTITUTION

16 Solve x + y = 7 x - y = 3 +y +y BY SUBSTITUTION

17 Solve x + y = 7 x = y + 3 BY SUBSTITUTION

18 Solve x + y = 7 x = y + 3 BY SUBSTITUTION

19 (y + 3) + y = 7 Solve x + y = 7 x = y + 3 BY SUBSTITUTION

20 (y + 3) + y = 7 2y + 3 = 7 Solve x + y = 7 x = y + 3 BY SUBSTITUTION

21 (y + 3) + y = 7 2y + 3 = 7 2y = 4 Solve x + y = 7 x = y + 3 BY SUBSTITUTION

22 (y + 3) + y = 7 2y + 3 = 7 2y = 4 y = 2 Solve x + y = 7 x = y + 3 BY SUBSTITUTION

23 (y + 3) + y = 7 2y + 3 = 7 2y = 4 y = 2 x = 5 Solve x + y = 7 x = y + 3 BY SUBSTITUTION

24 (y + 3) + y = 7 2y + 3 = 7 2y = 4 y = 2 x = 5 Solve x + y = 7 x = y + 3 BY SUBSTITUTION

25 Solve x + y = 7 x - y = 3

26 Solve x + y = 7 x - y = 3

27 Solve x + y = 7 x - y = 3

28 Solve x + y = 7 x - y = 3 BY ELIMINATION

29 Solve x + y = 7 x - y = 3 + BY ELIMINATION

30 Solve x + y = 7 x - y = 3 + 2x = 10 BY ELIMINATION

31 Solve x + y = 7 x - y = 3 + 2x = 10 x = 5 BY ELIMINATION

32 Solve x + y = 7 x - y = 3 + 2x = 10 x = 5 y = 2 BY ELIMINATION

33 Solve x + y = 7 x - y = 3 + 2x = 10 x = 5 y = 2 BY ELIMINATION

34 Solve 4x + 3y = 16 2x - 3y = 8

35 Solve 4x + 3y = 16 2x - 3y = 8 +

36 Solve 4x + 3y = 16 2x - 3y = 8 + 6x = 24

37 Solve 4x + 3y = 16 2x - 3y = 8 + 6x = 24 x = 4

38 Solve 4x + 3y = 16 2x - 3y = 8 + 6x = 24 x = 4 y = 0

39 Solve 4x + 3y = 16 2x - 3y = 8 + 6x = 24 x = 4 y = 0

40 Solve x + 2y = 5 5x - y = 3

41 Solve x + 2y = 5 5x - y = 3

42 Solve x + 2y = 5 5x - y = 3

43 Solve x + 2y = 5 5x - y = 3 2 ( )

44 Solve x + 2y = 5 5x - y = 3 2 ( ) x + 2y = 5 10x - 2y = 6

45 Solve x + 2y = 5 5x - y = 3 2 ( ) x + 2y = 5 10x - 2y = 6 +

46 Solve x + 2y = 5 5x - y = 3 2 ( ) x + 2y = 5 10x - 2y = 6 11x = 11 +

47 Solve x + 2y = 5 5x - y = 3 2 ( ) x + 2y = 5 10x - 2y = 6 11x = 11 x = 1 +

48 Solve x + 2y = 5 5x - y = 3 2 ( ) x + 2y = 5 10x - 2y = 6 11x = 11 x = 1 y = 2 +

49 Solve x + 2y = 5 5x - y = 3 2 ( ) x + 2y = 5 10x - 2y = 6 11x = 11 x = 1 y = 2 +

50 Solve x + 2y = 5 5x - y = 3

51 Solve x + 2y = 5 5x - y = 3 -5 ( )

52 Solve x + 2y = 5 5x - y = 3 -5 ( ) -5x – 10y = - 25 5x – y = 3

53 Solve x + 2y = 5 5x - y = 3 -5 ( ) -5x – 10y = - 25 5x – y = 3 +

54 Solve x + 2y = 5 5x - y = 3 -5 ( ) -5x – 10y = - 25 5x – y = 3 -11y = -22 +

55 Solve x + 2y = 5 5x - y = 3 -5 ( ) -5x – 10y = - 25 5x – y = 3 -11y = -22 y = 2 +

56 Solve x + 2y = 5 5x - y = 3 -5 ( ) -5x – 10y = - 25 5x – y = 3 -11y = -22 y = 2 x = 1 +

57 Solve x + 2y = 5 5x - y = 3 -5 ( ) -5x – 10y = - 25 5x – y = 3 -11y = -22 y = 2 x = 1 +

58 Solve 3b + 2c = 46 b + 5c = 11

59 Solve 3b + 2c = 46 b + 5c = 11 -3 ( )

60 Solve 3b + 2c = 46 b + 5c = 11 -3 ( ) 3b + 2c = 46 -3b – 15c = - 33

61 Solve 3b + 2c = 46 b + 5c = 11 -3 ( ) 3b + 2c = 46 -3b – 15c = - 33 +

62 Solve 3b + 2c = 46 b + 5c = 11 -3 ( ) 3b + 2c = 46 -3b – 15c = - 33 -13c = 13 +

63 Solve 3b + 2c = 46 b + 5c = 11 -3 ( ) 3b + 2c = 46 -3b – 15c = - 33 -13c = 13 c = -1 +

64 Solve 3b + 2c = 46 b + 5c = 11 -3 ( ) 3b + 2c = 46 -3b – 15c = - 33 -13c = 13 c = -1 b = 16 +

65 Solve 3b + 2c = 46 b + 5c = 11 -3 ( ) 3b + 2c = 46 -3b – 15c = - 33 -13c = 13 c = -1 b = 16 +

66 Solve 3j + 5k = 19 4j - 8k = -4

67 Solve 3j + 5k = 19 4j - 8k = -4

68 Solve 3j + 5k = 19 4j - 8k = -4 8 ( ) 5 ( )

69 Solve 3j + 5k = 19 4j - 8k = -4 8 ( ) 5 ( ) 24j + 40k = 152 20j – 40k = - 20

70 Solve 3j + 5k = 19 4j - 8k = -4 8 ( ) 5 ( ) 24j + 40k = 152 20j – 40k = - 20 +

71 Solve 3j + 5k = 19 4j - 8k = -4 8 ( ) 5 ( ) 24j + 40k = 152 20j – 40k = - 20 44j = 132 +

72 Solve 3j + 5k = 19 4j - 8k = -4 8 ( ) 5 ( ) 24j + 40k = 152 20j – 40k = - 20 44j = 132 j = 3 +

73 Solve 3j + 5k = 19 4j - 8k = -4 8 ( ) 5 ( ) 24j + 40k = 152 20j – 40k = - 20 44j = 132 j = 3 k = 2 +

74 Solve 3j + 5k = 19 4j - 8k = -4 8 ( ) 5 ( ) 24j + 40k = 152 20j – 40k = - 20 44j = 132 j = 3 k = 2 +

75

76

77 SOLVE: 1] a + b = 7 2] 2c + 3d = 6 a - b = -3 2c + 5d = 14 3] 2e + f = 10 e - 3f = -2

78 SOLVE: 1] 2] 3] 4] (2,5) (-3,4) (4,2)

79 (1 min) PKB (Prior Knowledge Box) Topic: Systems of Linear Equations Misconceptions What do you think you knew but you found was misconception? If you didn’t have any prior knowledge, what did you learn/review today?

80 Exit Slip-Systems Name Date Period Find your test key under Week 26. Click on Alg1_9.0exit slipkey. Make sure you show your work!!!!


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