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January 9 Ms. Wu says … follow the instructions below! 1) Find your new seat. 2)Get out HW 3.2 (don’t have to tear out). 3)Get started on the warm up quietly.

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Presentation on theme: "January 9 Ms. Wu says … follow the instructions below! 1) Find your new seat. 2)Get out HW 3.2 (don’t have to tear out). 3)Get started on the warm up quietly."— Presentation transcript:

1 January 9 Ms. Wu says … follow the instructions below! 1) Find your new seat. 2)Get out HW 3.2 (don’t have to tear out). 3)Get started on the warm up quietly. 4)Grade HW 3.2. _______________________________________________ 4.(-3, 29) 7.(5, 7) 10.(-2, 2) 13.(4, 5) 16.(-15, -62) 20.(5, 3) 23. The two equations should be subtracted rather than added; 6x – 8; x = 4/3 27.(-4, 12) 32.(10, 6) 34. a. 2 = m + b; 12 = -4m + b b. m = -2, b = 4 c. y = -2x + 4 35. L = 4.5 ft; w = 2.5 ft.

2 New stuff for 2 nd semester: Warm ups – Will not be turned in; grade in class; 10% final grade; points deducted for talking/not doing it/being off-task Quicky quizzes – Every class period; worth 5 – 10 pts; drop 2 lowest scores; if absent, counts as dropped score Late homework – Name on door for a week; if not crossed off, mandatory tutorials (call home) Homework quizzes – Worth 10 pts.; can use homework; cannot drop or make up; if absent, grade homework as quiz

3 The Elimination Method, pt. 2 Ex1: 3x – 4y = 14 2x + 2y = 21

4 The Elimination Method, pt. 2 Ex 2: 5x – 6y = 12 3x – 5y = 24

5 The Elimination Method Process: 1)Pick the variable you want to eliminate. 2)Multiply one, or both, equations by a value to make sure the coefficients of the chosen variable are the same (for subtraction) or opposite (for addition). 3)Subtract/Add and Solve the resulting equation. 4)Go back to one of the original equations and solve for the other variable.

6 Group Activity Study the following Linear Inequalities and determine at least 5 different points (x, y) that make each inequality true. Plot the points on the board. You cannot plot the same point as another group! What do you notice about the points that make each linear inequality true? A)x ≤ 4B) y > -2 C) y < ½ x – 2D) 2x – y ≥ 4

7 Graphs from the activity. A B C D

8 Steps to Graphing 1)Graph the boundary line 2)Determine if the boundary is inclusive (solid line) or exclusive (dotted/dashed line) 3)Test a point and shade the appropriate half plane.

9 Graphing Linear Inequalities The graphs consist of 1) Boundary Line (graph of corresponding equation) ---- for exclusive ___ for inclusive 2) Half-Plane (shaded to indicate included points) Half-Plane: The points on a plane that fall on one side of a boundary line.

10 Sample Problems 1)Determine if (4, 5) is a point that satisfies 4x + 2y < 12 2)Write inequalities that describes the graphs below.

11 SIGMA #3 10 pt class work grade 30 minutes, calculators allowed SIGMA ScoreClasswork Grade 813 712 611 510 49 38 27 16 05

12 Quicky Quiz 5 minutes Worth 5 points No notes allowed

13 HW 3.3 Pgs 454 – 455: 5, 7, 11, 13, 21, 23, 27, 31, 33, 37


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