Warm-up: Can we use quadratics to represent projectile motion? Varies... You will use prior knowledge of distance and rate problems to build new functions with three terms: constant term - initial height linear term - rate*velocity quadratic term - effect of gravity on projectile

M1 7.9 Giant Parthenon Wheel Objectives: Identify and interpret parts of a linear, exponential, or quadratic expression, including terms, factors, coefficients, and exponents. Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.

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No. It will take Sam 30 seconds to make it to the bottom, but the sunglasses will fall to the ground in less than 3 seconds.

The sunglasses would be going down faster, so the x-intercept on the graph would be smaller (closer to zero) but the glasses are still falling from the same height, so the y-intercept would be the same. The first differences in the table would increase by 5, but the second differences remain the same. The equation adds a linear term to account for the velocity of the downward throw.

About 10 ¼ feet. (Vertex is (0.375, 10.25)) No. The hat will hit the ground in about 1.2 seconds. (x-intercept is 1.175) OR No. The hat would reach 8 feet again in about 0.7 seconds.

Exit ticket… Think about motion …How would it look?

Classwork: p. 1-3 HOMEWORK: p. 4-6 RSG