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Warm Up Problem of the Day Lesson Presentation Lesson Quizzes
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Warm Up Graph each integer and its opposite on a number line. – –2 –8–7–6 –5–4 –3 –2 –1 0 Graph the integers on a number line. 4. 7, –2, 0, 3, –5 –8–7–6 –5–4 –3 –2 –1 0
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Problem of the Day What number am I? I am less than 50. When divided by 5 my remainder is 4. The sum of my digits is 11. 29
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Sunshine State Standards
MA.7.G.4.3 Identify and plot ordered pairs in all four quadrants of the coordinate plane.
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Vocabulary coordinate plane x-axis y-axis origin quadrant ordered pair
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x y A coordinate plane is a plane containing a horizontal number line, the x-axis, and a vertical number line, the y-axis. The intersection of these axes is called the origin. 5 y-axis 4 Quadrant II 3 Quadrant I 2 x-axis 1 –5 –4 –3 –2 –1 Origin 1 2 3 4 5 –1 –2 Quadrant III –3 Quadrant IV –4 –5 The axes divide the coordinate-plane into four regions called quadrants, which are numbered I, II, III, and IV.
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Additional Example 1: Identifying Quadrants on a Coordinate Plane
Identify the quadrant that contains each point. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. S W S lies in quadrant IV. T B. T T lies in quadrant I. C. W S W lies on the y-axis between Quadrants I and II
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X lies in Quadrant III. Check It Out: Example 1
Identify the quadrant that contains each point. x y –2 2 –4 4 A. X N X lies in Quadrant III. B. N Y N lies in Quadrant I. p C. P P lies in Quadrant IV. x
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x y –2 2 –4 4 –1 –3 –5 5 3 1 Points on a coordinate plane are identified by ordered pairs. An ordered pair consists of two numbers in a certain order. The origin is the point (0,0). 2 units up 3 units right Ordered pair (3, 2) x-coordinate y-coordinate Units right or left from 0 Units up or down from 0
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Additional Example 2: Plotting Points on a Coordinate Plane
Plot each point on a coordinate plane. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. D (3, 3) D Start at the origin. Move 3 units right and 3 units up. B. E (–2, –3) Start at the origin. Move 2 units left and 3 units down. E F C. F (3, –5) Start at the origin. Move 3 units right and 5 units down.
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Plot each point on the coordinate plane.
Check It Out: Example 2 Plot each point on the coordinate plane. x y –2 2 –4 4 A. E (–2, 3) E H B. F (4, –2) C. G (–1, –5) F G
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Additional Example 3: Identifying Points on a Coordinate Plane
Give the coordinates of each point. x y –2 2 –4 4 –1 –3 –5 5 3 1 A. X (–2, 5) X Start at the origin. Point X is 2 units left and 5 units up. Y B. Y (–1, 0) Start at the origin. Point Y is one unit left on the x-axis. Z C. Z (3, –3) Start at the origin. Point Z is 3 units right and 3 units down.
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Give the coordinates of each point.
Check It Out: Example 3 Give the coordinates of each point. x y –2 2 –4 4 A. J (–4, 0) L K B. K (1, 2) J M C. L (–3, 4) D. M (5, –3)
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Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems
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Lesson Quiz: Part I Give the coordinates of each point and identify the quadrant that contains each point x y –2 2 –4 4 –1 –3 –5 5 3 1 1. A (–2, 4); II A C 2. B (3, –2); IV 3. C (2, 3); I Plot each point on a coordinate plane. E B 4. D (2, –3) D 5. E (–4, –2)
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Lesson Quiz: Part II 6. To plot (7, –2) a student started at (0, 0) and moved 7 units left and 2 units down. What did the student do wrong? He should have moved 7 units right.
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Lesson Quiz for Student Response Systems
1. Identify the correct coordinates and the quadrant of point A. A. (–3, 4); I B. (–3, 4); II C. (3, 4); I D. (3, 4); II
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Lesson Quiz for Student Response Systems
2. Identify the correct coordinates and the quadrant of point C. A. (2, –2); IV B. (2, –2); III C. (–2, 2); IV D. (–2, 2); III
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Lesson Quiz for Student Response Systems
3. Which of the following represents the point C(4, 1) plotted on a coordinate plane? A B.
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Lesson Quiz for Student Response Systems
4. Which of the following represents the point A(–2, –3) plotted on a coordinate plane? A B.
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Lesson Quiz for Student Response Systems
5. To plot (8, –3) a student started at (0, 0) and moved 8 units left and 3 units down. What did the student do wrong? A. He should have moved 3 units up, not down. B. He should have moved 8 units right, not left. C. He should have moved 8 units up, not left. D. He should have moved 3 units left, not down.
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