Unit 5 Test 2 MCC5.G.1 StudyGuide/Homework Sheet Tuesday, February 19, 2013 (Crosswalk Coach Page 221) GETTING THE IDEA! An ordered pair is a pair of numbers used to locate a point on a coordinate plane. The left-right or horizontal number line on the coordinate plane is the x-axis. The up-down vertical number line is the y-axis. The x-axis and y-axis are perpendicular to each other. The point where the axes meet is called the origin and is named by the ordered pair (0, 0). The first number in an ordered pair is the x-coordinate. The x-coordinate tells the distance from the origin along the x- axis. The second number in an ordered pair is the y-coordinate. The y-coordinate tells the distance from the origin along the y-axis. For example, the ordered pair 93, 5) is shown on the coordinate plane above. The x-coordinate is 3 and the y- coordinate is 5. (Ready Common Core page 254) Explore It! A coordinate plane is used to represent ordered pairs of numbers with points. The origin is point (0,0). Ordered pair for point D (x, y) (, ) 1. The first number in an ordered pair is the x-coordinate. Starting at the y-axis, point D is how many units to the right? Write this as the first number in the ordered pair. 2. The second number in an ordered pair is the y-coordinate. Starting at the x-axis, point D is how many units up? Write this as the second number in the ordered pair. 3. Locate point A. Starting at the y-axis, point A is how many units to the right? unit(s). Starting at the x-axis, point A is how many units up? unit(s). the ordered pair for point A is (, ). 4. Locate point B. Identify the ordered pair for point B. (, ) 5. Identify the ordered pair for point C. (, ) 6. How did you determine the numbers for the ordered pairs? Ordered Pairs (On Core page 187)
A coordinate grid is like a sheet of graph paper bordered at the left and at the bottom by two perpendicular number lines. The x-axis is the horizontal number line at the bottom of the grid. The y-axis is the vertical number on the left side of the grid. An ordered pair is a pair of numbers that describes the location of a point on the grid. An ordered pair contains two coordinates, x and y. The x-coordinate is the first number in the ordered pair, and the y-coordinate is the second number. (x, y) (10, 4) Plot and label (10, 4) on the coordinate grid. To graph an ordered pair: Start at the origin (0, 0) Think: The letter x comes before y in the alphabet. Move across the x-axis first. The x-coordinate is 10, so move 10 units right The y-coordinate is 4, so move 4 units up Plot and label the ordered pair (10, 4) Tuesday s Classwork Practice I. Use the coordinate grid to write an ordered pair for the given point. (1) G (, ) (2) H (, ) II. Plot and label the points on the coordinate grid. (3) A (1, 6) (4) B (1, 9) (5) C (3, 7) Tuesday s Homework: Parent Signature: Use the coordinate grid to write an ordered pair for the given point. (1) J (, ) (2) K (, ) Plot and label the points on the coordinate grid. (1) D (5, 5) (2) E (9, 3) (3) F (6, 2)
Wednesday, February 20, 2013 Ordered Pairs (Crosswalk Coach page 227) An ordered pair is used to name a point on a coordinate plane. The first number in an ordered pair is the x-coordinate. The second number is the y-coordinate. The point where the two axes meet is the origin (0,0). To locate a point on the part of the coordinate plane that is shown in Example 1 you follow these steps: Start at the origin For the x-coordinate, move to the right For the y-coordinate, move up Example 1: What is the location of point B shown on the coordinate plane? Strategy: Start at the origin. Find the distance from 0 on each axis. Step 1: Start at the origin (the place where the x-axis and y-axis meet). Count the number of units needed to move along the x-axis to be directly below point B. You must move units, so the x-coordinate is 6. Step 2: Start at 6 on the y-axis. Count the numbers of units needed to move up to point B. You must move up 7 units, so the y-coordinate is 7. Step 3: Write the ordered pair. (x-coordinate, y-coordinate) (6, 7) Solution: The location of point B is (6, 7) You can plot a point on a coordinate plane using an ordered pair. Example 2: Plot a point at (5, 8) on the coordinate plane. Strategy: Use each number in the ordered pair to find the exact location on the coordinate plane. Step 1: Start at the origin. Step 2: Look at the x-coordinate and the y-coordinate. The x-coordinate is 5, so move 5 units to the right of the origin. The y-coordinate is 8, so move 8 units up.
Step 3: Label the point (5, 8). To find the distance between two points count the number of units to the left or right (west and east) and the number of units up or down (north or south). Solution: The coordinate plane with a point plotted at (5, 8) is shown. Example 3: Emile made the map below. What is the difference from the post office to the library? You can only go right and left and up and down. Strategy: Name the ordered pairs. Then use subtraction. Step 1: Find the location of the post office and the library. The post office is located at (4, 8) The library is located at (4, 1) Step 2: Find the distance between the post office and the library. Both the post office and the library have the same x- coordinate. They have different y-coordinates. Step 3: Subtract the y-coordinates of each ordered pair 8 1 = 7 The post office is 7 city blocks from the library. Solution: The distance from the post office to the library is 7 city blocks. Wednesday, February 20, 2013 Practice Classwork Rectangle JKLM is shown on the grid.
What is the length of side JK? Look for point J. Point J is located at (, ). Look for point K. Point K is located at (, ). Count the number of units between points J and K. There are units between points J and K. The length of side JK is centimeters. Wednesday s Homework: Parent Signature: A) What is located at (2, 7)? Explain your answer? B) What is the distance between the school and baseball field? Explain your answer. Thursday, February 21, 2013 (On Core page 189) Graph Data: Graph the data on the coordinate grid. Plant Growth End of Week 1 2 3 4 Height (in inches) 4 7 10 11 Choose a title for your graph and label it. You can use the data categories to name The x-and y-axis. Write the related pairs of data as ordered Pairs. (, ), (, ), (, ), (, ) Plot the point for each ordered pair. (Students draw grid) Line Graph: A Line graph uses a series of line segments to show how a set of data changes over time. The scale of a line graph measures and labels the data along the axes. An interval is the distance between the numbers on an axis. Use the table to make a line graph. (Students draw grid) Write a title for your graph. In this example, use Average Monthly High Temperature in Sacramento. Draw and label the axes of the line graph. Label the horizontal axis Month. Write the months. Label the vertical axis Temperature (⁰F). Choose a scale and an interval. The range is 53-80, so a possible scale is 0-80, with intervals of 20. Write the related pairs of data as ordered pairs: (Jan, 53); (Feb, 60); (Mar, 65); (April, 71); (May, 80) Make a line graph of the data above.
Average Monthly High Temperatures in Sacramento (Students draw grid) Use the graph to determine between which two months the least change in average high temperatures occurs. Thursday s Classwork Practice 1. Graph the data on the coordinate grid. Label the points. Distance of Bike Ride Time (in minutes 30 60 90 120 Distance (in miles) 9 16 21 27 Write the ordered pairs for each point: (, ); (, ); (, ); (, ) 2. Make a line graph of the data in the table. Average Low Temperature in San Diego, California Month Mar Apr May June July Temperature (⁰F) 51 51 60 62 66
Average Low Temperature in San Diego (Students Draw) Use the graph to determine between which two months the greatest change in average low temperature occurs? Thursday s Homework: Parent Signature: 1. Graph the data on the coordinate grid. Label the points. Bianca s Writing Progress Time (in minutes) 15 30 45 60 Total pages 1 3 9 11 Write the ordered pairs for each point. (, ); (, ); (, ); (, ) Bianca s Writing Progress Use the tale for 2 8 Hourly Temperature Time 10 A.M. 11 A.M. 12 noon 1 P.M. 2 P.M. 3 P.M. 4 P.M. Temperature (⁰F) 8 11 16 27 31 38 41 2. Write the related number pairs for the hourly temperature as ordered pairs.
3. What scale would be appropriate to graph the data? 4. What interval would be appropriate to graph the data? 5. Make a line graph of the data. 6. Use the graph to find the difference in temperature between 11 a.m. and 1 p.m. 7. Between which two hours did the least change in temperature occur? 8. What was the change in temperature between 12 noon and 4 p.m? Hourly Temperature