August 15, 2013 1) Sit. 2) Materials out. 3) Backpacks away. 4) Do Now SILENTLY. Learning Goal:  IWBAT calculate the distance and midpoint of line segments.

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Presentation transcript:

August 15, ) Sit. 2) Materials out. 3) Backpacks away. 4) Do Now SILENTLY. Learning Goal:  IWBAT calculate the distance and midpoint of line segments using the midpoint and distance formula. Homework :  Determine the distance and midpoint between ESAT and given landmarks Do Now:  Write the converse, inverse, and contrapositive of the following statement. Determine the truth value of each conditional statement.  If the shape is a trapezoid, then the shape is a quadrilateral.

Agenda: 1.Do Now (10 min) 2.Review Homework (10 min) 3.Distance Formula (25 min) 4.Distance Maps (20 min) 5.Midpoint Construction and Formula (25 min) 6.Midpoint Maps (20 min) 7.Closure (10 min)

Distance Formula

B. I do example: Julie lives at (9,-3) and her school is at (1,4). How far is her school from her house if she walked in a straight line to school? (1 unit = 1 block).

Distance Formula C. We do example: 3 students wrote their first step to the problem. Which student do you think has the correct approach? Question: Jamie’s bike ride this morning was 42 miles (there and back). If she started at her house (5,18) and she rode all the way to the edge of town at (-4,y). What is y? (1 unit = 1 mile)

Distance Formula D. You do example: If a rope’s one end is at (5,7) and the other end is at (1,0), how long is the rope?

Distance Map Activity  You will get a map of ESAT and surrounding community.  Plot the listed key landmarks on the coordinate plane.  Identify two given landmarks and construct a segment that connects both landmarks.  Find the distance between landmarks using either the Pythagorean Theorem or Distance Formula.

Midpoint Formula

Midpoint Map Activity  Refer to the map of ESAT and surrounding community.  Identify the segments you have already constructed.  Construct the midpoint of these segments using a compass and straightedge.  Find the midpoint between landmarks using either the midpoint formula.  Verify that the midpoint is the same for the geometric and algebraic method.

Homework  Dodger Stadium is on (0, -7). Calculate the distance between ESAT (-1, 5) and Dodger Stadium.  What are the coordinates of the midpoint between ESAT and Dodger Stadium?  Calculate the distance between ESAT and another landmark of your choice.  What are the coordinates of the midpoint between ESAT and your landmark? Any landmarks near the midpoint?

Closure Journal Entry  Write a response to the following question on a separate sheet of paper.  Why is the distance and midpoint formula beneficial to our understanding of the environment?  “The distance formula is beneficial to our understanding of the environment because _________.  “The midpoint formula is beneficial to our understanding of the environment because _________.