Write the Midpoint formula TWO times. Find the midpoint ... · PO1. Determine how to find the...

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1I_MidpointFormula.notebook 1 August 27, 2012 Geometry Lesson 1I Midpoint Formula TLW calculate midpoints in the coordinate plane. High School Math Standards Strand 4: Geometry and Measurement Concept 3: Coordinate Geometry PO1. Determine how to find the midpoint between two points in the coordinate plane. 2008 Given two points (x1 ,y1 ) and (x2 ,y2 ), the midpoint between the points can be found using the formula Write the Midpoint formula TWO times. Find the midpoint between (6, 8) and (2,11)

Transcript of Write the Midpoint formula TWO times. Find the midpoint ... · PO1. Determine how to find the...

  • 1I_MidpointFormula.notebook

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    August 27, 2012

    GeometryLesson 1IMidpoint Formula

    TLW calculate midpoints in the coordinate plane.

    High School Math Standards

    Strand 4:  Geometry and MeasurementConcept 3:  Coordinate Geometry

    PO1.  Determine how to find the midpoint between two points in the coordinate plane.

    2008

    Given two points (x1 , y1 ) and (x2 , y2 ), the midpoint between the points can be found using the formula

    Write the Midpoint formula TWO times. Find the midpoint between (6, 8) and (2,11)

  • 1I_MidpointFormula.notebook

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    August 27, 2012

    What is the midpoint between the given points?  

    example: and(      ,    ) (      ,      )5 108 14

    5 10 8 14

    What is the midpoint between the given points?  

    example: (      ,      ) (       ,      )4 1020 15and

    4 10 20 15

    New situation You are given one endpoint and the midpoint.  Where is the other endpoint located?

    BM

    A

    How do you find the endpoint graphically?

    M (3, 4) is the midpoint of       .  The coordinates of A are ( 5, 3 ).  What are the coordinates of B?

    B

    A

    M

    graphically

    M (3, 4) is the midpoint of       .  The coordinates of A are ( 5, 3 ).  What are the coordinates of B?

    algebraically

  • 1I_MidpointFormula.notebook

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    August 27, 2012

    M (3, 1) is the midpoint of       .  The coordinates of A are ( 4, 2 ).  What are the coordinates of B?

    B

    A

    M

    graphically

    M (3, 1) is the midpoint of       .  The coordinates of A are ( 4, 2 ).  What are the coordinates of B?

    algebraically

    algorithmAlgorithm for finding endpoint given one endpoint and a midpoint

  • Attachments

    MidptCoordPlane.tns

    SMART Notebook

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