1. Name __________________________________ Date ____________________
Mrs. Labuski / Mrs. Portsmore Period ________ Unit 11 Lesson 3 Distance Coordinate Plane
OC 2-5
Coordinate 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 B
The 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 distance
from 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 unit
equals 5 miles. How far will Mrs. Labuski travel by the time she gets to the ball field?
Store Location Units Traveled Distance Traveled
Home (0,0) - -
Stop & Shop (0,6)
Plaza Sports (-7,6)
Baseball Field (-7,-8)
Total Distance Traveled
What 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 Plane
OC 2-5
Coordinate 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 B
The 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 distance
from zero on a number line? absolute value
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? (-3,1) 2. What are the coordinates of H? (4,1)
3. Which coordinates are different? The x or the y? x
4. 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 = 7
A 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. 4
2. 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. 13
3. 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. 15
Mrs. Labuski has a lot of errands to run before going to her son’s baseball game. Each unit
equals 5 miles. How far will Mrs. Labuski travel by the time she gets to the ball field?
Store Location Units Traveled Distance Traveled
Home (0,0) - -
Stop & Shop (0,6) 6 units 30 miles
Plaza Sports (-7,6) -7 7 units 35 miles
Baseball Field (-7,-8) 6 + -8
14 units
70 miles
Total Distance Traveled 135 miles
What two stops were the furthest apart? Plaza sports and baseball field
What two stops were closest together? home and Stop & Shop