1. What lies behind us and what lies before us are tiny matters compared to what lies within us. Ralph Waldo Emerson Today: Return C3 Tests Progress Reports Goal Evaluations 4.1 Instruction - Notes Practice Algebra

2. The Coordinate Plane Objectives: 1. Plot points in the coordinate plane. 2. Plot points in Real World problems. Vocabulary: coordinate plane, origin, x-axis, y-axis, ordered pair, x-coordinate, y-coordinate, quadrant, scatter plot 4.1

3. horizontal or x-axis vertical or y-axis origin (0, 0) 12 34567 1 2 3 5 6 4 7 -6 -2 -4 -6 -4-2 Vocabulary: coordinate plane – a plane with an x-axis and a y-axis that intersect at the origin. ordered pair – the location of any point on a coordinate plane using two numbers ( x-coordinate, y-coordinate ) Vocabulary: coordinate plane ordered pair A(4, 3) B(3, -1) C(-3, 3) D(-6, -3) AC B D The Coordinate Plane 4.1

4. Vocabulary: coordinate plane – a plane with an x-axis and a y-axis that intersect at the origin. ordered pair – the location of a any point on a coordinate plane using two numbers ( x-coordinate, y-coordinate ) quadrant – the 4 regions of the coordinate plane 12 34567 1 2 3 5 6 4 7 -6 -4-2 Vocabulary: coordinate plane ordered pair quadrant III IVIII (–,+) (+,+) (+,–) (–,–) -6 -2 -4 The Coordinate Plane 4.1

5. Identify Coordinates 1 Example Find the ordered pair of the points. (2, 2) (-4, 5) (7, -4) (-3, -2) (7, 0) 12 34567 1 2 3 5 6 4 7 -6 -4-2 -6 -2 -4 (1, -6) (-5, -6) (-7, 2) (6, 7) (4, -3) I II IV III None IV III II I IV

6. Plot Coordinates 2 Example Plot the ordered pair on the coordinate plane (3, 5) (-1, -5) (7, 4) (-3, 2) 12 34567 1 2 3 5 6 4 7 -6 -4-2 -6 -2 -4 (3, -6) (-5, -2) (3, -4) (-6, 0) I III I II IV III IV none

7. The Coordinate Plane Steps to Make a Scatter Plot: 1.Determine what will be x and y. I.x – is in charge, it changes automatically II.y – depends on x, is not automatic 2.Determine units of each axis and label. I.Find range of variable II.Divide range by number of squares III.Always round up to “nice” unit 3.Plot points. 4.1

8. Make a Scatter Plot 3 Example The age (in years) of seven used cars and the price (in thousands of dollars) paid $8,800 0123456789101112131415 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 age of car price in $1,000 Age4535647 Price6.96.17.55.24.27.13.0 for the cars are recorded in the table. Make a scatter plot and explain what it indicates. How much would a 2-year old car cost?

9. Make a Scatter Plot 4 Example The age (in years) of seven used cars and the price (in thousands of dollars) paid $1,500 0123456789101112131415 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Age4535647 Price69617552427130 for the cars are recorded in the table. Make a scatter plot and explain what it indicates. How much would a 9-year old car cost? price in $1,000 age of car

10. Make a Scatter Plot 3 Example The amount (in millions of dollars) spend in the United States on snowmobiles is shown in the table. Make a scatter plot and explain what it indicates. Year90919293949596 Spent322362391515715924970 0 100 500 1000 1500 Amount spent (millions $) 90950005 year

11. Make a Scatter Plot 3 Example What do you predict was spent in the year 2000? $1,600,000,000 0 100 500 1000 1500 Amount spent (millions $) 90950005 year Year90919293949596 Spent322362391515715924970

12. Assignment 4.1 Assignment: 4.1 p206 #10-29, 35- 37 - USE GRAPH PAPER C3 Progress Report What lies behind us and what lies before us are tiny matters compared to what lies within us. Ralph Waldo Emerson

13. Assignment 4.1 Assignment: 4.1 p206 #10-29, 35- 37 - USE GRAPH PAPER Graph Picture C3 Progress Report What lies behind us and what lies before us are tiny matters compared to what lies within us. Ralph Waldo Emerson

14. Graph a Picture 5 Example Plot the points to graph a picture.