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Lesson 8: Distance Lesson Plan

Lesson Component Description of Component For This Lesson
Lesson Opening   (10 minutes)     Introduction of New Material (15 - 20 minutes)   Objective: To compute distances in a coordinate plane. SWBAT: (1) Plot points and connect them with line segments (2) Given two points in a coordinate plane compute the distance between them/the length of the line segment connecting them using the distance formula.   Use a “Do Now” to review square roots: (1) Mini-lesson I will plot an example on graph chart paper that shows a right triangle using the x and y axis and starting at the origin to show that from the origin to a point the Pythagorean Theorem may be used. distance from to is I will then show that a right triangle may be drawn with a point other than the origin as one of the vertices and use the complete distance formula. Distance from to is (2) Engagement I will talk about how many times in the city, we can’t use a straight line because of buildings in the way but when we can cut across it cuts down on the distance we have to travel.
    Student Practice of New Material   (30 minutes)   (9) Exploration/Application Students will graph various points and determine how far away they are from the origin. Students will then progress to determining the distance between points in the first quadrant. I will introduce a challenge question that requires finding the distance between points in different quadrants. (4) Assessment The assessment will be ongoing as I walk around the room while students plot their points and determine distance. As part of the assessment, I will have the students complete a quick exit ticket to be handed in at the end of class.  
Summary (5 minutes) I will summarize the formula for distance and remind students that we are using the Pythagorean Theorem to find the hypotenuse.
Exit Ticket   Hand out graph paper sheet. Students plot pairs of points and use the distance formula to determine how far apart the two points are. 1. (0, 0) and (-3, -4) 2. (-4, -6) and (1, 6)

Homework

Fill in the table using the Pythagorean Theorem

 

to 4 decimals
 
         
         
         
         

y
y
x

 

 

Graph the triangle (0,0), (4,0), (4,3). What is the distance from (0,0) to (4,3)?

 

 

 
 
x


 

 

 

Graph the triangle:

(-3,0), (2,0), (2,6). What is the distance from (-3,0) to (2,6)?

 

 


Date: 2015-12-24; view: 762


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