GRAPHING DATA

• 6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable

• Objective: Understand how to graph two related amounts on the Cartesian Coordinate Plane

• Learning target: Answer at least 3 out of 4 coordinate plane questions on the exit ticket.

• It lets us compare two amounts and see how they are related. For example, you could find the distance traveled in a certain amount of time.

• Review: Why is the coordinate plane useful?

• The point is (3, 2).• The x-coordinate of 3 means 3

hours.• The y-coordinate of 2 means 2

miles.• This means in 3 hours I went 2

miles.

• In 1 hour I went 2 miles.

• What does this mean?

• What does the point (1, 2) mean?

• The point is (1, 2).The x-coordinate of 1 means 1 appleThe y-coordinate of 2 means 2 dollarsThis means 1 apple costs 2 dollars.

• The Point is (4, 5).This means 4 apples cost 5 dollars.

• Explain the meaning of each point.

• The point is (2, 6).The x-coordinate of 2 means 2 trianglesThe y-coordinate of 6 means 6 sidesThis means 2 triangles have 6 sides

• The Point is (5, 15).This means 5 triangles have 15 sides.

• Explain the meaning of each point.

Warning: look at the numbers on the y-axis

• First, label the x and y-axis with numbers and what they stand for.

Put points on the graph by matching the x and y coordinates.Example: If something took 5 hours to go 1 milex stands for hours, so since it took 5 hours, x = 5Since y stands for miles, y = 1 since it went 1 mileGraph the point (5, 1)

• How do we graph data?

• Label the axes• Place a point at Game 1, 4 Points

• Place a point at Game 5, 2 points

• Graph: In Game 1 I scored 4 points.

• Graph: In Game 5 I scored 2 points

• Graph: It takes 2 people to lift 1 box.

OR

Socrative• Open up Safari or Chrome in your iPad• Go to www.m.socrative.com• For the Room Number, type in: MrPMath• Click “Join Room”• If you did it correctly, your screen should say,

“Waiting for teacher to start next activity”

• x (number of shots) = 5y (points) = 4

We want the point (5, 4), which is D

• It took me 5 shots to score 4 points. Which letter should I put a point at?

• x (number of workers) = 4y (hours) = 3We want the point (4, 3)

• If there are 4 workers, it will take 3 hours to complete the job. Which point would represent this?

• x (number of books) = 3y (dollars) = 5We want the point (3, 5) which is A

If you put D (5, 3), chances are you did not check the label of the x and y axes to see what amount each of them represented.

• It would cost 5 dollars to buy 3 books. Which letter should I put a point at?

• x (number of apples) = 2y (number of dollars) = 4

You needed to relate 2 apples and 4 dollars in some way.

• Example answers:• 2 apples cost 4 dollars• I sold 2 apples for 4 dollars• 2 apples weigh the same as 4

dollars• If there are 2 apples in a box,

there will also be 4 dollars.

• Explain in a sentence what this point means.

Direct Station• We will use whiteboards/Educreations to work with

graphing multiple data points for a situation

Collaborative/Skill-Building Station• You will be given a series of graphs.

• For each graph, you must write a sentence explaining the meaning of the point(s). To do this, look at what the x and y-axes stand for.

• Example:

You write: This shows that 2 apples cost 4 dollars.

Independent Station• No computers today because they are being used for the

Common Core Test.

• Use your iPads to log onto Pearson.• Make sure you are set to Math, not ELA.• Click Unit 5 Equations and Inequalities.• You may do Lessons 8-11.

• If you do not have your iPad/do not remember your password/are not logged in within 2 minutes, I will give you a worksheet to do instead that must be completed before you leave class.