Midpoint and Distance Formula

Midpoint and Distance Formula

by JadeAnthony Dosdos

​Midpoint Formula

​Lesson Objectives:

​At the end of the lesson students should be able to:

​

• Define midpoint.​

- Use the midpoint formula.

​Warm-up:

​Find the midpoint/center in the given number sequence.

​

​1. 1, 2, 3, 4, 5

​2. 2, 4, 6, 8, 10, 12, 14

​3. 3, 6, 9, 12, 15, 18, 21, 24, 27

​4. 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75

​5. 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190

​Core concepts:

Multiple Choice

The endpoints of segment AB are A(-8, 7) and B(5, 1). Find the coordinates of the midpoint M.

• (4, -1.5)

• (-1.5, 4)

• (1.5, 4)

• (-4, -1.5)

Multiple Choice

The endpoints of segment AB are A(1,2) and B(7,8). Find the coordinates of the midpoint M.

• (4, 5)

• (3, 15)

• (9, 9)

• None of the above

Multiple Choice

The midpoint of segment TU is M(2, 4). One endpoint is T(1, 1). Find the coordinates of endpoint U.

• (-3, -7)

• (-3, -5)

• (3,5)

• (3,7)

Poll

Do you have any questions?

• YES

• NO

​Distance Formula

​Lesson Objectives:

​At the end of the lesson, students should be able to:

​

​- Define distance.

​- Use distance formula.

​Core concepts:

Multiple Choice

Find the distance between the two points A(13, 2) and B(7, 10).

• 9

• 10

• 11

• 12

Multiple Choice

Find the distance between this two endpoints.

• -5

• 5

• 1.5

• 10

​Group Activity:

​Directions or Mechanics of the activity:

​

*I will group you into 4 groups.

*Each group will pick a folded paper.

*The folded paper has a question in which you need to answer in a group.

*Write your solutions/work in a printed paper.

*You have 3 minutes to answer the activity.​

*The group which has a correct answer will received a price.​

​Independent Practice:

​Printed copy of worksheets will be given.

Poll

Do you have any questions?

• YES

• NO