We will plot ordered pairs. Learning Objective We will plot ordered pairs. What are we going to do? CFU Activate Prior Knowledge Plot the points onto the number line below. A. 7 Students, you already know how to identify positive and negative numbers on a number line. Now, we will use that skill to plot ordered pairs. Make Connection B. -7 B A 5 10 -5 -10

Points on the Coordinate Plane (4, 5) x y Concept Development Coordinate Plane x y Q1 (+,+) Q2 (–,+) Q4 (+, –) Q3 (–,–) The coordinate plane is a flat surface made by the intersection1 of two perpendicular2 number lines (axes). An ordered pair describes3 the location of a point on the coordinate plane using x- and y-coordinates. The x-coordinate is the position of the point along the x-axis. The y-coordinate is the position of the point along the y-axis. Points on the Coordinate Plane (4, 5) x y Identify the x-coordinate in the ordered pair below. Identify the y-coordinate in the ordered pair below. (6, -9) “The x-coordinate is ______________.” “The y-coordinate is ______________.” (6, 2) and (2, 6) do not describe the same point on the coordinate plane. Explain why not. In your own words, what is an ordered pair? “An ordered pair is ______________.” CFU 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 x-axis y-axis (-4, 5) (4, 5) (5, -4) 1 crossing (synonym) 2 crossing at a 90 degree angle 3 shows (synonym) Vocabulary (-4, -5)

The x-coordinate is the position of the point along the x-axis. Skill Development/Guided Practice Coordinate Plane x y Q1 (+,+) Q2 (–,+) Q4 (+, –) Q3 (–,–) An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. The x-coordinate is the position of the point along the x-axis. The y-coordinate is the position of the point along the y-axis. Locate4 the x-coordinate of the ordered pair. Hint: The distance along the x-axis. Locate the y-coordinate of the ordered pair. Hint: The distance along the y-axis. Plot and label the point at the correct coordinates. Plot ordered pairs. 1 2 3 How did I/you locate the x-coordinate? How did I/you locate the y-coordinate? How did I/you plot and label the point? CFU 1 2 3 y D 2 10 4 5 6 7 8 9 3 1 H 1. Point A ( 3, -10 ) 2. Point B ( 2, -7 ) 3. Point C ( -4, 6 ) 4. Point D ( -5, 9 ) 5. Point E ( -8, -4 ) 6. Point F ( -4, -3 ) 7. Point G ( 7, 4 ) 8. Point H ( 8, 9 ) 9. Point J ( 6, -6 ) 10. Point K ( -6, 6 ) K C G x -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -9 -1 -7 -6 -5 -4 -3 -2 -8 -10 F E J B 4 find (synonym) Vocabulary A

y x Skill Development/Guided Practice (continued) 2 1 3 4 5 A B A B C How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU 2 1 3 4 5 x y A B 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 A B C Juan is drawing this shape onto the coordinate plane. He plotted point A at (-1, 4) and point B at (2, 7). The length of the base is 8 units. Plot point C and connect the points together to form the shape. 8 C

y x Skill Development/Guided Practice (continued) 2 1 3 4 5 A B D A B How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU 2 1 3 4 5 x y A B 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 D A B C Elise is drawing this shape onto the coordinate plane. She plotted point A at (-7, 3), point B at (-5, 6), and point D at (5, 6). The length of the base is 14 units. Plot point C and connect the points together to form the shape. 14 D C

Relevance An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. The x-coordinate is the position of the point along the x-axis. The y-coordinate is the position of the point along the y-axis. 1 Plotting ordered pairs will help you understand information in real life. Information in real life is often presented in graphs on a coordinate plane. 2 Plotting ordered pairs will help you tell where things are located. Most maps use a grid system that works like a coordinate plane. 3 Plotting ordered pairs will help you do well on tests. Sample Test Question: 20. Which of the following describes the point M on the graph? The point is at (6, -4). The distance of the point from the y-axis is 6. The point is at (-6, 4). The distance of the point along the y-axis is -6. Yes No M Does anyone else have another reason why it is relevant to plot ordered pairs? (Pair-Share) Why is it relevant to plot ordered pairs? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU

ordered pair coordinate position point axis plot y Word Bank x Coordinate Plane x y Q1 (+,+) Q2 (–,+) Q4 (+, –) Q3 (–,–) An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. The x-coordinate is the position of the point along the x-axis. The y-coordinate is the position of the point along the y-axis. Word Bank Skill Closure Locate the x-coordinate of the ordered pair. (write) Hint: The distance along the x-axis. Locate the y-coordinate of the ordered pair. (write) Hint: The distance along the y-axis. Plot and label the point at the correct coordinates. Plot ordered pairs. 1 2 3 1. Point A ( 6, -5 ) 2. Point B ( -6, 5 ) 2 10 4 5 6 7 8 9 3 1 B Access Common Core Arianna thinks that the ordered pair for Point C is (4, 8). Do you agree with her? Why or why not? No, Point C is at (-4, -8). Arianna only counted the distance from the x- and y-axis. x -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -9 -1 -7 -6 -5 -4 -3 -2 -8 -10 Word Bank ordered pair coordinate position point axis plot A Summary Closure C What did you learn today about plotting ordered pairs? (Pair-Share) Use words from the word bank. y

The x-coordinate is the position of the point along the x-axis. Independent Practice Coordinate Plane x y Q1 (+,+) Q2 (–,+) Q4 (+, –) Q3 (–,–) An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. The x-coordinate is the position of the point along the x-axis. The y-coordinate is the position of the point along the y-axis. Locate the x-coordinate of the ordered pair. (write) Hint: The distance along the x-axis. Locate the y-coordinate of the ordered pair. (write) Hint: The distance along the y-axis. Plot and label the point at the correct coordinates. Plot ordered pairs. 1 2 3 y E 2 10 4 5 6 7 8 9 3 1 A 1. Point A ( 0, 8 ) 2. Point B ( 8, -4 ) 3. Point C ( 1, -5 ) 4. Point D ( -7, 1 ) 5. Point E ( -6, 10 ) 6. Point F ( 7, -2 ) 7. Point G ( -3, -7 ) 8. Point H ( -8, 3 ) 9. Point J ( -5, -10 ) 10. Point K ( -7, 7 ) K H D x -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -9 -1 -7 -6 -5 -4 -3 -2 -8 -10 F B C G J

Periodic Review 1 Plot ordered pairs. 2 10 4 5 6 7 8 9 3 1 1. Point A ( 7, -9 ) 2. Point B ( 3, -5 ) 3. Point C ( -10, 4 ) 4. Point D ( -4, 3 ) 5. Point E ( -1, -6 ) 6. Point F ( -5, 1 ) 7. Point G ( -9, -2 ) 8. Point H ( 0, 0 ) 9. Point J ( 8, -7 ) 10. Point K ( -7, 3 ) C K D F H -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -9 -1 -7 -6 -5 -4 -3 -2 -8 -10 G B E J A Access Common Core Which of the following sentences is true about the points plotted on the graph? The coordinates of point A are (-3, 5). The coordinates of point B are (6, -4). The distance of point C from the y-axis is -8. The distance of point B from the x-axis is 4. Yes No A B C D

Periodic Review 2 Plot ordered pairs. 2 10 4 5 6 7 8 9 3 1 1. Point A ( 3, -9 ) 2. Point B ( -5, -9 ) 3. Point C ( 4, -4 ) 4. Point D ( -4, 0 ) 5. Point E ( -1, -1 ) 6. Point F ( -4, 4 ) 7. Point G ( 6, 5 ) 8. Point H ( -1, -3 ) 9. Point J ( 10, 0 ) 10. Point K ( -5, 5 ) K G F D J -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 E 1 2 3 4 5 6 7 8 9 10 -9 -1 -7 -6 -5 -4 -3 -2 -8 -10 Q H C S B A Access Common Core No, Point Q is at (4, -2). Jamie should have gone up along the y-axis. Jamie thinks that the coordinates of point Q on the coordinate plane are (4, 2). Do you agree with her? Why or why not? Silvia wanted to plot the point S at (-6, 7) above. Do you agree with her answer? Why or why not? No, Point A is at (-6, -7). Silvia should have gone up along the y-axis.

Periodic Review 3 Plot ordered pairs. C 2 10 4 5 6 7 8 9 3 1 G 1. Point A ( -8, -3 ) 2. Point B ( 6, -3 ) 3. Point C ( 3, 10 ) 4. Point D ( 0, -8 ) 5. Point E ( 2, 4 ) 6. Point F ( -9, 1 ) 7. Point G ( 5, 8 ) 8. Point H ( -3, -6 ) 9. Point J ( -1, 7 ) 10. Point K ( 0, 2 ) J E K F -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -9 -1 -7 -6 -5 -4 -3 -2 -8 -10 A H D Access Common Core Draw your own coordinate plane using the blank grid. Be sure to label the x-axis, the y-axis, and the origin. Graph the following points: (-3, 2) (-2, -4) (5, -1) (-3, 2) (5, -1) (-2, -4)

zero X value 2 vertical horizontal Y value 3.5 4 (2, 3.5) 1st 2nd

(0,0) 3 Left Up 2.75 J’ (-3,2.75) (0,0) 4 Right Down 1.25 Coordinate Plane x y Q1 (+,+) Q2 (–,+) Q4 (+, –) Q3 (–,–) (0,0) 3 Left Up 2.75 J’ (-3,2.75) If you move LEFT on the X axis, your value is ________ If you move RIGHT on the X axis, your value is ________ If you move UP on the y axis, your value is ________ If you move DOWN on the y axis, your value is ________ CFU decreasing increasing increasing decreasing (0,0) 4 Right Down 1.25 K’ (4, -1.25)

5 5 52 52 5 5 50 25 25 50 50 hypotenuse 7 7 UNITS Pythagorean Theorem leg2 + leg2 = hyp2 52 52 5 5 50 25 25 50 50 hypotenuse 7 7 UNITS