graphing data. 6.ee.9 use variables to represent two quantities in a real- world problem that change...
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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.