Exit Ticket. NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 14: Ordered Pairs
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1 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 14: Ordered Pairs 1. On the map below, the fire department and the hospital have one matching coordinate. Determine the proper order of the ordered pairs in the map, and write the correct ordered pairs for the locations of the fire department and hospital. Indicate which of their coordinates are the same. 2. On the map above, locate and label the locations of each description below: a. The local bank has the same first coordinate as the fire department, but its second coordinate is half of the fire department s second coordinate. What ordered pair describes the location of the bank? Locate and label the bank on the map using point. b. The Village Police Department has the same second coordinate as the bank, but its first coordinate is 2. What ordered pair describes the location of the Village Police Department? Locate and label the Village Police Department on the map using point. Lesson 14: Ordered Pairs 24
2 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 15: Locating Ordered Pairs on the Coordinate Plane 1. Label the second quadrant on the coordinate plane, and then answer the following questions: a. Write the coordinates of one point that lies in the second quadrant of the coordinate plane. b. What must be true about the coordinates of any point that lies in the second quadrant? 2. Label the third quadrant on the coordinate plane, and then answer the following questions: a. Write the coordinates of one point that lies in the third quadrant of the coordinate plane. b. What must be true about the coordinates of any point that lies in the third quadrant? 3. An ordered pair has coordinates that have the same sign. In which quadrant(s) could the point lie? Explain. 4. Another ordered pair has coordinates that are opposites. In which quadrant(s) could the point lie? Explain. Lesson 15: Locating Ordered Pairs on the Coordinate Plane 25
3 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 16: Symmetry in the Coordinate Plane 1. How are the ordered pairs (4, 9) and (4, 9) similar, and how are they different? Are the two points related by a reflection over an axis in the coordinate plane? If so, indicate which axis is the line of symmetry between the points. If they are not related by a reflection over an axis in the coordinate plane, explain how you know. 2. Given the point ( 5, 2), write the coordinates of a point that is related by a reflection over the - or -axis. Specify which axis is the line of symmetry. Lesson 16: Symmetry in the Coordinate Plane 26
4 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 17: Drawing the Coordinate Plane and Points on the Plane Determine an appropriate scale for the set of points given below. Draw and label the coordinate plane, and then locate and label the set of points. {(10, 0.2), ( 25, 0.8), (0, 0.4), (20,1), ( 5, 0.8)} Lesson 17: Drawing the Coordinate Plane and Points on the Plane 27
5 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 18: Distance on the Coordinate Plane Determine whether each given pair of end points lies on the same horizontal or vertical line. If so, find the length of the line segment that joins the pair of points. If not, explain how you know the points are not on the same horizontal or vertical line. a. (0, 2) and (0, 9) b. (11,4) and (2, 11) c. (3, 8) and (3, 1) d. ( 4, 4) and (5, 4) Lesson 18: Distance on the Coordinate Plane 28
6 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 19: Problem Solving and the Coordinate Plane 1. The coordinates of one end point of a line segment are ( 2, 7). The line segment is 12 units long. Give three possible coordinates of the line segment s other end point. 2. Graph a rectangle with an area of 12 units 2 such that its vertices lie in at least two of the four quadrants in the coordinate plane. State the lengths of each of the sides, and use absolute value to show how you determined the lengths of the sides. Lesson 19: Problem Solving and the Coordinate Plane 29
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TRANSFORMATIONS. The original figure is called the pre-image; the new (copied) picture is called the image of the transformation.
Quiz Review Sheet A transformation is a correspondence that maps a point. TRANSFORMATIONS The original figure is called the pre-image; the new (copied) picture is called the image of the transformation.
CCM6+/7+ - Unit 13 - Page 1 UNIT 13. Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date:
CCM6+/7+ - Unit 13 - Page 1 UNIT 13 Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date: Main Idea Pages Unit 9 Vocabulary 2 Translations 3 10 Rotations 11 17 Reflections 18 22 Transformations