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Engage in Lesson 2.1 and Lesson 2.2 A-D, examining linear relationships through tasks, worksheets, and tracking sheets. Analyze graphs, tables, and equations to determine line steepness and predict outcomes.
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Math CC8 – Be Prepared Quick Start Expectations On Desk: • Pencil • Calculator • Math Journal • MSA 2.2 Classwork Worksheet Homework Tracking Sheet • HW: p. 38, #2, 4, 6, #37 • Warm Up: • 2(8X + 4) • 5 + 2(8X + 4)
Tasks for Today • Complete Lesson 2.1 • Lesson 2.2 A-D • Begin HW?
Do the tables below represent a linear relationship? Why or why not? As x increases by one, the value of y increases at a constant rate. LINEARand NOT Proportional. LINEARand Proportional. Ex: 1/6 ≠ 2/9 ≠3/12 Ex: 1/4
50 m; d = 2.5 (20) After 20 sec, Henri is d = 45 + 20, so d = 65 65m – 50m = 15m apart after 20 sec No. Substitute 26 for t, and Henri will be 71m, and Emile will be 65m. Graph isn’t always exact, check table or equation! Emile will overtake Henri sometime after 75m, or after 30 seconds.
Table – The line is steeper if its rate of change is greater (if it is negative, greater means a greater absolute value). Equation – The line is steeper if the coefficient, or the number you multiply x by, has a greater absolute value.
Emile – (0, 0) Henri – (0, 45) These points represent each brother’s starting point in relation to the starting line. (y-intercept) Table – when x (time) is 0, you find y (distance) Equation – the value of y when x = 0 The starting point = y-intercept (0, __ )