EQ: What is the midpoint and formula?

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Presentation transcript:

EQ: What is the midpoint and formula? Agenda: Warm Up Quiz Finish Constructions Activity Reflection Review of XY Coordinate Plane All the ways to find the midpoint Midpoint Formula Homework: Midpoint Worksheet

WARM UP List the coordinates (ordered pair) for each point:

December 1, 2018 Quiz Time When you are finished place your quiz in your folder and finish your Construction Activity Reflection Sheet

Activity Reflection Sheet Topic: (1 sentence) Tools: Steps: (at least 3 steps) Difficulty: (easy, medium, difficult and why) Rating: (1-5 stars and draw them) What I learned: (at least 4 sentences)

December 1, 2018 Midpoint Activity

Things to remember about a coordinate grid… Notes Things to remember about a coordinate grid… Y This is the x-axis It is “left to right” This is the y-axis It is “top to bottom: Ordered pairs: (x, y) X

Plot the following points (-6, -2) (-7, -5) (0, -2) (-5, -11) (4, 1) (9, 6) (4, -7) (1, -8) (-4, 5) (-2, 0) (2, 11) (5, 12) Connect the pairs with a line segment Record the coordinates in the charts to the right. Find the midpoint for each line and identify the pattern for calculating the midpoint.

Questions to ask myself… December 1, 2018 Questions to ask myself… Is there a relationship between the x coordinates? Is there a relationship between the y coordinates? Is there a pattern that works for the x coordinates of line segment AB that also works for the x coordinates for line segment CD? What are possible patterns? What happens if I add two x’s or two y’s? Subtract them? Multiply them? Divide them? A combination of 2 or 3 operations?

( , )= ( , ) Find Line Segment AB: A(-6, -2) B(0, -2) Midpoint Formula: ( , )= ( , ) Plot points S(-4, 0) and T(-7, 4) Let’s find the midpoint of 𝑆𝑇 :

Midpoint What is a midpoint? December 1, 2018 Midpoint What is a midpoint? How many different ways can you come up with to find the midpoint of: A line on your paper? A line on Miss W’s white board? A line on a map? A line in a coordinate grid in your textbook?

December 1, 2018 Practice

December 1, 2018

Activity Reflection Sheet ***Don’t forget to re-copy/type onto “official” Activity Sheet*** Activity Reflection Sheet Topic: (1 sentence) Tools: Steps: (at least 3 steps) Difficulty: (easy, medium, difficult and why) Rating: (1-5 stars and draw them) What I learned: (at least 4 sentences)

December 1, 2018 Homework Front and back: ALL EVENS OMIT #’S 18 & 20

T.O.D. Find the midpoint of the line segment with the given endpoints: December 1, 2018 T.O.D. Find the midpoint of the line segment with the given endpoints: (-4, 4) (5, -1) (-5.1, -2)