Module 3 Lesson 18 Distance on the Coordinate Plane.notebook

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February 23, 2015

Jan 29­8:43 AM

Homework Review Lesson 17

Module 3 Lesson 18 Distance on the Coordinate Plane.notebook

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February 23, 2015

Mar 3­9:24 AM

Module 3 Lesson 18 Distance on the Coordinate Plane.notebook

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February 23, 2015

Oct 8­8:53 AM

Monday Problem Set Lesson 18 & Crossword

Tuesday Problem Set Lesson 19Wednesday Study Module 3Thursday End of Module 3 AssessmentFriday Mod 4 Problem Set Lesson 1

Module 3 Lesson 18 Distance on the Coordinate Plane.notebook

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February 23, 2015

Aug 26­5:45 PM

MODULE 3 Rational NumbersTopic C: Rational Numbers & the Coordinate PlaneLesson 18: Distance on the Coordinate Plane

Student Outcomes§ Students compute the length of horizontal and vertical line segments with integer coordinates for endpoints in the coordinate plane by counting the number of units between end points and using absolute value.

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February 23, 2015

Feb 23­7:21 AM

Module 3 Lesson 18 Distance on the Coordinate Plane.notebook

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February 23, 2015

Jan 29­8:44 AM

Opening ExerciseFour friends are touring on motorcycles. They come to an intersection of two roads; the road they are on continues straight, and the other is perpendicular to it. The sign at the intersection shows the distances to several towns. Draw a map/diagram of the roads and use it and the information on the sign to answer the following questions:

What is the distance between Albertsville and Dewey Falls?

What is the distance between Blossville and Cheyenne?

On the coordinate plane, what represents the intersection of the two roads?

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Example 1: The Distance Between Points on an Axis

What is the distance between (‐4,0) and (5,0)?

What do the ordered pairs have in common and what does that mean about their location in the coordinate plane?

How did we find the distance between two numbers on the number line?

Use the same method to find the distance between (‐4,0) and (5,0)?

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February 23, 2015

Jan 29­8:44 AM

Example 2: The Length of a Line Segment on an AxisWhat is the length of the line segment with endpoints (0,‐6) and (0,‐11)?What do the ordered pairs of the endpoints have in common and what does that mean about the line segment’s location in the coordinate plane?

Find the length of the line segment described by finding the distance between its endpoints (0,‐6) and (0,‐11)

1­ identify the line

2 ­ identify the distances

3 ­ identify the locations

4 ­ calculate

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February 23, 2015

Mar 3­9:52 AM

Example 3: Length of a Horizontal or Vertical Line Segment that does Not Lie on an Axis

Find the length of the line segment with endpoints (‐3, 3) and (‐3, ‐5)

What do the endpoints, which are represented by the ordered pairs, have in common? What does that tell us about the location of the line segment on the coordinate plane?

Find the length of the line segment by finding the distance between its endpoints.

1­ identify the line

2 ­ identify the distances

3 ­ identify the locations

4 ­ calculate

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February 23, 2015

Feb 23­10:31 AM

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February 23, 2015

Mar 3­9:52 AM

Exercises1. Find the lengths of the line segments whose endpoints are given below. Explain how you determined that the line segments are horizontal or vertical.

a. (‐3, 4) and (‐3, 9)

b. (2, ‐2) and (‐8, ‐2)

1­ identify the line

2 ­ identify the distances

3 ­ identify the locations

4 ­ calculate

same x­coordinate­vertical linesame y­coordinate­horizontal line

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February 23, 2015

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c. (‐6, ‐6) and (‐6, 1)

d. (‐9,4) and (‐4,4)

e. (0,‐11) and (0, 8)

1­ identify the line

2 ­ identify the distances

3 ­ identify the locations

4 ­ calculate

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February 23, 2015

Nov 17­2:29 PM

Closing

Please take out your exit ticket for Lesson 18, close your binder, and complete the exit ticket. This will be collected.

§ Why can we find the length of a horizontal or vertical line segment even if it’s not on the x or y ‐axis?

§ Can you think of a real‐world situation where this might be useful?

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February 23, 2015

Mar 3­10:00 AM