5 Question Mixed Review Combine the following polynomials:

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Presentation transcript:

5 Question Mixed Review Combine the following polynomials: (2a + 2ab -3b) + (-7a –ab + 6b) Solve for x: 3x – 4 = 20 Identify the slope and y-intercept: y = 7x – 4 What is the maximum or minimum values of this equation? y = 2(x-4) + 6 What quadrant do the following points fall into? (-6, 3) and (-7, 7)

Midpoint Formula

Georgia Performance Standard MM1G1.c Determine the midpoint of a segment. Essential Question How do we determine the midpoint of a segment?

What does “averaging” numbers have to do with finding the midpoint? Activator Average these numbers. Answers are on the next page when you are ready. 1) 3, 4, 5 2) 6, 3, 9, 14 3) 4, 9 4) 45, 97 5) 89, 92 6) 14, 76, 64 What does “averaging” numbers have to do with finding the midpoint?

Activator Trade Papers and Check Answers 1) 3, 4, 5 2) 6, 3, 9, 14 3) 4, 9 4) 45, 97 5) 89, 92 6) 14, 76, 64 1) 4 2) 8 3) 6.5 4) 71 5) 90.5 6) 51.3

How do we determine the midpoint of this segment?

How do we determine the midpoint of this segment?

How do we determine the midpoint of this segment?

How does it help to be given the coordinate points? (-6, 5) (5, 1)

This formula is actually 2 formulas in 1! Midpoint Formula Average of y's (xm,ym) = ( , ) x1 + x2 y1 + y2 2 2 Average of x's This is an unusual formula. Ordered pair = Ordered pair This formula is actually 2 formulas in 1!

This formula is actually 2 formulas in 1! Midpoint Formula This formula is actually 2 formulas in 1! (xm,ym) = ( , ) Y 1 + Y2 2 X 1 + X2 2 Use the midpoint formula to find the midpoint between (2, 4) and (-5, 7).

(xm, ym) = (-1.5, 5.5) Midpoint Formula Use the midpoint formula to find the midpoint between (2, 4) and (-5, 7). (xm, ym) = (-1.5, 5.5) ordered pair = ordered pair Question: Does it matter that the numbers have decimal points? Would it matter if they were Written as fractions?

Find the midpoint of: (-3, -2), (7, 9) Students turn (use the formula)... Find the midpoint of: (-3, -2), (7, 9)

(5, -1), (0, -5) Find the midpoint of:

Practice before Quiz. Find the midpoint of the following. 1) (-1, 3) and (-7, -9) 2) (0, -7) and (-2, 4) 3) (-2, -8) and (5, -5) 4) Find the midpoint of segment m. m

Answers 1) (- 15, - 3) 2) (- 10.5, 3.5) 3) (- 8.5, - 25) 4) (- 1, 3)

Summary 1) State the essential question for this concept in your own words. 2) State two things you learned about the midpoint formula.

Quiz Time! Note taking Guide P. 211 - 212 after quiz. Teacher, use GPS p 32 for quiz. Note taking Guide P. 211 - 212 after quiz.

GPS Page 32

Coach Guide pages 211-212