1. The Four Seasons - December, 1963 (Oh, What a Night)
Elementary Algebra Lesson 9: Rate of Work
Get The Math

6. Ingredients
1 ½ cups each of Corn, Wheat, & Rice Chex
1 1/4 cups  Pretzel Sticks
1 1/4 cups Mixed Nuts
1 ½ Sticks Butter
3 Tablespoons Worcestershire Sauce
6 dashes Tabasco Sauce
3 cloves Garlic, Mashed
1 ½ teaspoon Lawry's Seasoned Salt
1/4 teaspoon Onion Powder

7. Chex Party Mix

8. Help Wanted
We have an opening for QA/Lab Technician role. This is a temporary contract position with the initial duration of 8 months. If you are interested in applying please send your resumes ASAP. Job Description:  Tests materials or products using laboratory materials.  Follows generally prescribed procedures.  Uses proper laboratory techniques.  Maintains equipment.  Keeps records of tests associated with batches or units.  Notifies appropriate production and management staff when failure conditions are observed. Performs general laboratory cleaning duties including washing equipment, sweeping, mopping, wiping down counters, and other cleaning duties as assigned.  Required Skills:  Must be able to repeatedly lift up to 50 pounds.  Accuracy and attention to detail.  The ability to meet deadlines. A methodical approach to work assignments.  Good math skills.  Ability to follow oral and written instructions, short correspondence and memos.  Ability to effectively communicate in one-on-one and in group situations.  Ability to understand, record, and verbalize detailed information accurately.  Ability to be observant, accurate, and capable of following directions. 

10. Objectives: Discover formula for finding the midpoint of a segment.
Midpoint Conjecture
Objectives:
Discover formula for finding the midpoint of a segment.

11. Unit 6 – Coordinate Geometry
Word Wall

12. Unit 5 Review

13. midpoint of a segment:. a point that divides the
midpoint of a segment: a point that divides the segment into two equal halves (point right in the middle of the segment)
10 ft.
10 ft.
“P” is the midpoint. P

14. You can calculate the midpoint on a coordinate plane as long as you know the coordinates of the endpoints!

15. Look at this segment…..can you guess the coordinates of the midpoint?X
You will now learn the Midpoint Formula…remember your guess (above).

16. Steps for Finding MidpointY X

17. 1. Label the endpoints as (x1,y1) and (x2,y2).
(-4,2)
(4,2) X
(x1,y1)
(x2,y2)
So….x1=-4 y1=2 x2=4 y2=2

18. We are going to find the average of the x & y coordinates using……
(-4,2)
(4,2) X

19. The Midpoint Formula
…where (x1,y1) & (x2,y2) are coordinates of endpoint of segment.

20. 2. Plug “x” & “y” values into the Midpoint Formula:
(-4,2)
(4,2) X
(x1,y1)
(x2,y2)
So….x1=-4 y1=2 x2=4 y2=2

21. Plug the numbers into the formula:
x1=-4 y1=2 x2=4 y2=2

22. Plug the numbers into the formula:
x1=-4 y1=2 x2=4 y2=2

23. Plug the numbers into the formula:
x1=-4 y1=2 x2=4 y2=2

24. Plug the numbers into the formula:
x1=-4 y1=2 x2=4 y2=2

25. 3. Simplify. = =

26. The coordinates of the midpoint are:

27. Plot the calculated midpoint….was this what you guessed earlier?X
This is the midpoint!!!

28. Calculate the midpoint of the segment.
(2,3) X
(12,-7)

29. Plug the values into equation.
(x1,y1) (x2,y2).
(2,3)
(12,-7)
Plug the values into equation.

30. (x1,y1) (x2,y2).
(2,3)
(12,-7)
Simplify.

31. (x1,y1) (x2,y2).
(2,3)
(12,-7)
Simplify.

32. Plot the calculated midpoint.Y
(2,3) X
(12,-7)

33. Calculate the midpoint of the segment that has endpoints at (-17,8) and (-1,11).

34. The Distance Formula
What is it?
How do we use it?
Click to Continue

35. The distance between two points, x1 and x2,
The Distance Between any Two Points
x x2
first point
second point
The distance between two points, x1 and x2,
on a number line is:
|x1 – x2| OR |x2 – x1|
Click to Continue
Click to Continue

36. The Distance Between any Two Points
first point
second point

37. We are looking for the distance represented by the red line.
There are two values for each point (x, y).
|x2 – x1| = |6 – 1| = 5
|y2 – y1| = |5 – 2| = 3
We are looking for the distance represented by the red line.
Find the Distance between
Points A and B.
Click to Continue
Click to Continue

38. Right Triangle c b 90º hypotenuse a legs Click to Continue
Pythagorean Theorem
c2 = a2 + b2
Click to Continue

39. Right Triangle c b
= |5 – 2| = 3 a
= |6 – 1| = 5
Pythagorean Theorem
c2 = a2 + b2
Click to Continue

40. x
B (x2, y2) y
|y2 – y1|
A (x1, y1)
|x2 – x1|
Click to Continue

41. Find the Distance between
Points A and B.
Distance Formula
Click to Continue

42. Practice Time!
Substitute
Simplify.
Square the numbers.
Simplify
Click to Continue

43. Practice:
Given: Q (3, 8) and R (-4, 6)
Find: the length of segment QR.
Formula:
Substitute:
Simplify Parentheses:
Square Numbers:
Click to Continue
Solution:

44. The End