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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.

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Presentation on theme: "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."— Presentation transcript:

1 GRAPHING DATA

2 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.

3 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?

4 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?

5 The point is (1, 2). The x-coordinate of 1 means 1 apple The y-coordinate of 2 means 2 dollars This means 1 apple costs 2 dollars. The Point is (4, 5). This means 4 apples cost 5 dollars. Explain the meaning of each point.

6 The point is (2, 6). The x-coordinate of 2 means 2 triangles The y-coordinate of 6 means 6 sides This 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

7 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 mile x stands for hours, so since it took 5 hours, x = 5 Since y stands for miles, y = 1 since it went 1 mile Graph the point (5, 1) How do we graph data?

8 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

9 Graph: It takes 2 people to lift 1 box. OR

10 Socrative Open up Safari or Chrome in your iPad Go to www.m.socrative.comwww.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”

11 x (number of shots) = 5 y (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?

12 x (number of workers) = 4 y (hours) = 3 We want the point (4, 3) If there are 4 workers, it will take 3 hours to complete the job. Which point would represent this?

13 x (number of books) = 3 y (dollars) = 5 We 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?

14 x (number of apples) = 2 y (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.

15 Direct Station We will use whiteboards/Educreations to work with graphing multiple data points for a situation

16 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.

17 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.


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