| 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
Graph the triangle (0,0), (4,0), (4,3). What is the distance from (0,0) to (4,3)?
Graph the triangle:
(-3,0), (2,0), (2,6). What is the distance from (-3,0) to (2,6)?
Date: 2015-12-24; view: 833
|