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# Unit 11 lesson 5 distance in coordinate plane

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• 1. Name __________________________________ Date ____________________Mrs. Labuski / Mrs. Portsmore Period ________ Unit 11 Lesson 3 Distance Coordinate PlaneOC 2-5Coordinate plane can be used to find the distance between two points.If you wanted to find the distance from A to B you can count the units between A and BThe distance is __________ units.This can also be done on coordinate grid.1. What is the distance from point S to point G? _________2. What is the distance from point S to point A? _________What term represents the value of an integer’s distancefrom zero on a number line? __________________How can you use absolute value to represent the distance between two points?Look at the cut out of the coordinate grid below.1. What are the coordinates of D? ___________ 2. What are the coordinates of H? ________3. Which coordinates are different? The x or the y? _________________4. How can you represent the distance from D to the y-axis using absolute value? ___________5. How can you represent the distance from the y-axis to H using absolute value? ___________6. Write an expression using absolute value to represent the distance from D to H._______________________7. Solve the expression to find the distance from D to H. _____________________A B
• 2. Let’s try some more:1. What is the distance between (-2,6) and (2,6)?a. Write an expression using absolute value _______________________b. Solve the expression to find the distance. _____________________2. What is the distance between (-8,-5) and (-8,7)? ____________________a. Write an expression using absolute value _______________________b. Solve the expression to find the distance. _____________________3. What is the distance between (-6,12) and (9,12)? ____________________a. Write an expression using absolute value _______________________b. Solve the expression to find the distance. _____________________Mrs. Labuski has a lot of errands to run before going to her son’s baseball game. Each unitequals 5 miles. How far will Mrs. Labuski travel by the time she gets to the ball field?Store Location Units Traveled Distance TraveledHome (0,0) - -Stop & Shop (0,6)Plaza Sports (-7,6)Baseball Field (-7,-8)Total Distance TraveledWhat two stops were the furthest apart? ___________________________________________What two stops were closest together? _____________________________________________
• 3. Name __________________________________ Date ____________________Mrs. Labuski / Mrs. Portsmore Period ________ Unit 11 Lesson 3 Distance Coordinate PlaneOC 2-5Coordinate plane can be used to find the distance between two points.If you wanted to find the distance from A to B you can count the units between A and BThe distance is __8_______ units.This can also be done on coordinate grid.1. What is the distance from point S to point G? __6______2. What is the distance from point S to point A? ___7_____What term represents the value of an integer’s distancefrom zero on a number line? absolute valueHow can you use absolute value to represent the distance between two points?Look at the cut out of the coordinate grid below.1. What are the coordinates of D? (-3,1) 2. What are the coordinates of H? (4,1)3. Which coordinates are different? The x or the y? x4. How can you represent the distance from D to the y-axis using absolute value? -35. How can you represent the distance from the y-axis to H using absolute value? 46. Write an expression using absolute value to represent the distance from D to H.-3 + 47. Solve the expression to find the distance from D to H. 3 + 4 = 7A B
• 4. Let’s try some more:1. What is the distance between (-2,6) and (2,6)?Write an expression using absolute value -2 + 2Solve the expression to find the distance. 42. What is the distance between (-8,-5) and (-8,7)?Write an expression using absolute value -5 + 7Solve the expression to find the distance. 133. What is the distance between (-6,12) and (9,12)?Write an expression using absolute value -6 + 9Solve the expression to find the distance. 15Mrs. Labuski has a lot of errands to run before going to her son’s baseball game. Each unitequals 5 miles. How far will Mrs. Labuski travel by the time she gets to the ball field?Store Location Units Traveled Distance TraveledHome (0,0) - -Stop & Shop (0,6) 6 units 30 milesPlaza Sports (-7,6) -7 7 units 35 milesBaseball Field (-7,-8) 6 + -814 units70 milesTotal Distance Traveled 135 milesWhat two stops were the furthest apart? Plaza sports and baseball fieldWhat two stops were closest together? home and Stop & Shop