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1.4 Midpoint Formula Period 4.notebook 1 September 01, 2016 Aug 2910:23 PM warm up 1. 2. Aug 2910:23 PM warm up 1.
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1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

Sep 26, 2020

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Page 1: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

1

September 01, 2016

Aug 29­10:23 PM

warm up

1.

2.

Aug 29­10:23 PM

warm up

1.

Page 2: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

2

September 01, 2016

Aug 30­2:40 PM

2. Multiplyboth sides by Common denominator

Aug 29­10:21 PM

1.4 midpoint and distance formulas

Learning Targets:1. I can apply undefined terms to coordinate geometry2. I can calculate distance and midpoint using coordinate

geometry and Segment Addition.

Page 3: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

3

September 01, 2016

Aug 29­10:32 PM

What is Geometry?

A branch of mathematics that studies the shape and size of objects.

Aug 29­10:33 PM

What do these animals have in common?

Page 4: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

4

September 01, 2016

Aug 29­10:42 PM

What do these shapes have in common?

Aug 29­10:45 PM

Attribute:

A characteristic or quality of something

Used in geometry to recognize patterns, classify objects, identify relationships

Page 5: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

5

September 01, 2016

Aug 29­10:48 PM

Midpoint Formula:

*The midpoint bisects the segment into two shorter segments of equal length.

Aug 29­11:05 PM

Midpoint Formula Cheer

Page 6: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

6

September 01, 2016

Aug 29­11:07 PM

Example 1: Use the Midpoint Formula to find the coordinates, x and y, of point B.

Aug 29­11:15 PM

Example 2: Use the Midpoint Formula to find the coordinates, x and y, of the endpoint C.

Page 7: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

7

September 01, 2016

Aug 29­11:22 PM

Distance Formula:The distance between and is given by

y

x

Aug 29­11:51 PM

Distance Formula Face

Page 8: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

8

September 01, 2016

Aug 29­11:29 PM

Example 3:

Aug 29­11:34 PM

Example 4: Find the distance between the given set of points.

Page 9: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

9

September 01, 2016

Aug 29­11:35 PM

Example 5: Find the distance between the given set of points.

Aug 29­11:38 PM

Example 6:

Page 10: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

10

September 01, 2016

Aug 29­11:46 PM

Distance Formula Partner Worksheet

Midpoint Formula Worksheet

Aug 29­11:39 PM

Recap:• Geometry is a branch of mathematics that studies the shape and size of

objects.• An attribute is a characteristic or quality of something. It is used in geometry to

recognize patterns, classify objects, and identify relationships. • Midpoint Formula:

• Distance Formula:

Page 11: 1.4 Midpoint Formula Period 4.notebook · 2016. 9. 1. · 1.4 Midpoint Formula Period 4.notebook 11 September 01, 2016 Sep 13:05 PM homework Finish other column of Distance Formula

1.4 Midpoint Formula Period 4.notebook

11

September 01, 2016

Sep 1­3:05 PM

homework

Finish other column of Distance Formula Partner Worksheet, as well as the 2 problems

on the back

Aug 30­12:18 AM

Exit Ticket

1. Find the point that is one­fourth of the way from (2, 4) to (10, 8).

2. How could the Midpoint and Distance formulas be used in real life?