unit 4: linear relations unit 4: linear relations

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