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Work with a partner within your group.
Organize the yellow cards.
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Open Youtube.com and watch…
How Do I Model and Solve Pairs of Linear Equations? You’ll need your journal and pencil! Song about Slope Graphing a linear function
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MSA Quiz – Parent Sig, due Friday! Test Monday 1/8 and Tues 1/9
Math CC7/8 – Be Prepared Learning Log: HW: MSA p. 100, #17-19, 26, 28, 31 MSA Quiz – Parent Sig, due Friday! Test Monday 1/8 and Tues 1/9 Title your Journal MSA 4.3 Below the Title write the Focus Question. FQ: How can you predict whether two lines are parallel or perpendicular from their equations??
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HW: Solving Equations WS #2 - Finish the EVEN
Math CC7/8 – Be Prepared Moving Straight Ahead (MSA) On Desk: Journal: Date: Title: MSA 4.3 Below the Title write the Focus Question: How can you predict whether two lines are parallel or perpendicular from their equations? Warm Up: Have someone check your homework with a PEN! Golden Tracking Sheet and Tuesday’s homework In Your Planner: HW: Solving Equations WS #2 - Finish the EVEN
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Warm Up - MSA p. 110 #48 48. Solve each equation. Check your answers.
b. 2(x + 5) = x – 8 c. 2(x + 5) = x X = -18 X = -10
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Tasks for Today Lesson 4.2 Part B
Lesson 4.3 – Exploring Patterns with Lines
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-1 (4, 4) (5, 3) (6, 2) Make a table? Graph the points?
Or calculate the change in y divided by the change in x Slope = Rise = change in Y = Run change in X (4, 4) (5, 3) (6, 2) Use the table to find 2 more points? Find the y-intercept , write the equation, use substitution?
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A graph? Rise (vertical change)
Run (horizontal change) A table? As x goes up by 1, what happens to y? Or the change in y divided by the change in x An equation? It is the coefficient (the number next to the variable)
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Each group has the same slope (the same coefficient)
Group 1 : has a slope of 3, but different y-intercepts Group 2 : has a slope of -2, but different y-intercepts
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Group 1 Group 2
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Same Slope + different y-intercepts = PARALLEL LINES!
Positive slope Negative slope Group 1 Group 2 Same Slope + different y-intercepts = PARALLEL LINES!
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Tons of possible answers!
Example: y = -x + 7 y = -x + 3 y = -2 – x y = -x They all have a slope of -1.
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The slopes (coefficient of x) are
negative reciprocals of each other. (Opposite and inverse)
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The lines meet at right angles, so they are PERPENDICULAR lines!
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Tons of possible answers! y = -2 - x and y = x
Possible Set: Tons of possible answers! y = -2 - x and y = x y = 5 - 3x and y = 1 x + 5 3 All lines have slopes that are negative reciprocals of each other! (opposite and inverse) They do NOT have to have the same y-intercept!
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The equations in each pair are equivalent, so their graphs will be the same!
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