1. 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)

2. Midpoint Formula

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

4. 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?

5. 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

6. How do we determine the
midpoint of this segment?

7. How do we determine the
midpoint of this segment?

8. How do we determine the
midpoint of this segment?

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

10. 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!

11. 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).

12. (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?

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

14. (5, -1), (0, -5)
Find the midpoint of:

15. 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

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

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

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

19. GPS Page 32

20. Coach Guide pages