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12.1.notebook
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February 13, 2017
Feb 168:55 AM
Module 12
Lesson 1: Graphing on the coordinate plane
Lesson 2: Independent and dependent variables in tables and graphs
Lesson 3: Writing equations from tables
Lesson 4: Representing Algebraic relationships in tables and graphs
Feb 168:55 AM
Module 12
Lesson 1: Graphing on the coordinate plane
Objective: find and position pairs of integers and other rational numbers on a coordinate plane
Feb 168:55 AM
Coordinate Plane
formed by two number lines that intersect at right angles. The point of intersection is 0 on each number line
Feb 168:55 AM
Axes: the two number lines
x axis: the horizontal axis
y axis: the vertical axis
origin: the point where the axes intersect
quadrants: the two axis are divided into 4 quadrants
Feb 168:55 AM
Ordered Pair
is a pair of numbers that gives the location of a point on a coordinate plane. The first number tells how far to the right (positive) or left (negative) the point is located from the origin. The second number tells how far up (positive) or down (negative) the point is located from the origin
Feb 169:10 AM
Coordinates:
the numbers in an ordered pair
xcoordinate:
the first number
ycoordinate
the second number
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February 13, 2017
Feb 1112:40 PM
Identify the coordinates of each point. Name the quadrant where each point is located.
1/6
Feb 169:15 AM
Complete numbers 4 and 5 on page 332
Feb 1112:40 PM
Graph and label each point on the coordinate plane. P(0, –2), Q(–4, 1.5), R(3.5, 0)
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Feb 169:16 AM
Complete numbers 6 10 on page 333
Feb 169:17 AM
Reading Scales on Axes
The scale of an axis is the number of units that each grid line represents.
Lets take a look at example 3 on page 333
Feb 1112:40 PM
The graph shows the location of a fountain, a slide, and a sandbox in a park. The scale on each axis represents yards. Give the coordinates for the sandbox and use them to describe the location of the sandbox relative to the fountain.
3/6
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February 13, 2017
Feb 169:24 AM
Complete numbers 1 8 on page 334
Feb 1112:40 PM
Write the ordered pairs that represent Henry and the library.
Use the coordinate plane shown. Each unit represents 1 city block.
4/6
Feb 1112:40 PM
Lesson Quiz
2.
Describe Henry's location relative to the library.
5/6
Feb 1112:40 PM
Determine whether each relationship is a function.
Henry wants to meet his friend Emma at an ice cream shop before they go to the library. The ice cream shop is 7 blocks west of the library. Plot and label a point representing the ice cream shop. What are the coordinates of the point?
Emma describes her current location: "I'm directly west of the library, halfway to the ice cream shop." Plot and label a point representing Emma's location. What are the coordinates of the point?
6/6
Feb 1112:40 PM
Point A: (3, –2), Quadrant IV;Point B: (– 4, 1), Quadrant II
1/6
Identify the coordinates of each point. Name the quadrant where each point is located.
Additional Example 1
Graphing on the Coordinate Plane
Feb 1112:40 PM
2/6
Additional Example 2
Graph and label each point on the coordinate plane. P(0, –2), Q(–4, 1.5), R(3.5, 0)
Graphing on the Coordinate Plane
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February 13, 2017
Feb 1112:40 PM
The sandbox is at (10, –15). This is 10 yards east and 15 yards south of the fountain.
3/6
The graph shows the location of a fountain, a slide, and a sandbox in a park. The scale on each axis represents yards. Give the coordinates for the sandbox and use them to describe the location of the sandbox relative to the fountain.
Additional Example 3
Graphing on the Coordinate Plane
Feb 1112:40 PM
Lesson Quiz
1. Write the ordered pairs that represent Henry and the library.
Use the coordinate plane shown. Each unit represents 1 city block.
Henry (–3, 4), Library (2, –3)
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Graphing on the Coordinate Plane
Feb 1112:40 PM
Lesson Quiz
2. Describe Henry's location relative to the library.
Henry is 5 blocks west and 7 blocks north of the library.
5/6
Graphing on the Coordinate Plane
Feb 1112:40 PM
(–1.5, –3)
Lesson Quiz
4.
Determine whether each relationship is a function.
(–5, –3)
3. Henry wants to meet his friend Emma at an ice cream shop before they go to the library. The ice cream shop is 7 blocks west of the library. Plot and label a point representing the ice cream shop. What are the coordinates of the point?
Emma describes her current location: "I'm directly west of the library, halfway to the ice cream shop." Plot and label a point representing Emma's location. What are the coordinates of the point?
6/6
Graphing on the Coordinate Plane
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