unit 4: linear relations unit 4: linear relations
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Unit 4: Linear Relations
Unit 4:Linear
Relations
Learning Goals:• I can label a graph and plot
an ordered pair on the Cartesian plane• I can divide the Cartesian
plane into four quadrants
Lesson 1: Understanding the Graph
Unit 4: Linear Relations
What is a Graph?• A Graph is a visual way of showing
the relationship between data
Unit 4: Linear Relations
Lesson 1: Understanding the Graph
Unit 4: Linear Relations
TitleLabe
led Axis
Labeled AxisOrigin
Lesson 1: Understanding the Graph
• Often known as the Cartesian Plane• The Origin is the point where the axes
intersect. It occurs at (0,0)• The Horizontal Axis is the x-axis• The Vertical Axis is the y-axis• Individual coordinates are called Ordered
Pairs. They are written in brackets like this: (Horizontal Value, Vertical Value) or ( x-value, y-value)
Unit 4: Linear Relations
Lesson 1: Understanding the Graph
Unit 4: Linear Relations
Lets find the values for some of these points:
A( )E( )F( )H( )
Lesson 1: Understanding the Graph
• Have you ever played Battleship?
• Battleship uses coordinates… AKA ordered pairs!
• Try playing a quick game with your desk partner.
Unit 4: Linear Relations
Lesson 1: Understanding the Graph
• Draw two grids on graph paper. Mark off a scale from 0 to 10 on both the horizontal and vertical axes.
Unit 4: Linear Relations
Lesson 1: Understanding the Graph
• On one grid draw four ships. Draw them using only horizontal and vertical lines. Each ship consists of several points joined by a straight line.
• Aircraft Carrier: 5 points on the grid• Destroyer: 4 points on the grid• Submarine: 3 points on the grid• Battleship: 2 points on the grid
Unit 4: Linear Relations
Lesson 1: Understanding the Graph
• Take turns calling out pairs of numbers such as (2,3) where 2 is a number on the horizontal axis and 3 is the number on the vertical axis.
• If you call out a point that lands on one of your opponent’s ships, they must tell you. Record the location of the boat on your second grid, and go again.
• If you miss your opponent gets the next turn.
Unit 4: Linear Relations
Lesson 1: Understanding the Graph
What happens if the data we are graphing has negative numbers?
Unit 4: Linear Relations
Lesson 1: Understanding the Graph
We need more quadrants!
Unit 4: Linear Relations
The quadrant with (+ #, + #)is called quadrant 1 (or I). The quadrant with (- #, + #)is called quadrant 2 (or II). The quadrant with (- #, - #)is called quadrant 3 (or III). The quadrant with (+ #, - #)is called quadrant 4 (or IV).
Lesson 1: Understanding the Graph
• Play another game of Battleship, but this time using negative numbers.
• Draw two grids on graph paper. Mark off a scale from -5 to 5 on both the horizontal and vertical axes.
Unit 4: Linear Relations
Lesson 1: Understanding the Graph
• On one grid draw four ships. Draw them using only horizontal and vertical lines. Each ship consists of several points joined by a straight line.
• Aircraft Carrier: 5 points on the grid• Destroyer: 4 points on the grid• Submarine: 3 points on the grid• Battleship: 2 points on the grid
Unit 4: Linear Relations
Lesson 1: Understanding the Graph
Practice
Pg. 121 Q. 1-15Handout
Unit 4: Linear Relations
Lesson 1: Understanding the Graph