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- Grade 6 McGraw Hill Glencoe - Answer Keys
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| D ( | , | ) | Quadrant | |||||||||||
Explanation:
| S ( | , | ) | Quadrant: |
| P ( | , | ) | Quadrant: |
| J ( | , | ) | Quadrant: |
| M ( | , | ) | Quadrant: |
Identify the name of each point. Then identify the quadrant in which it is located
\((-1\frac{1}{2} ,\frac{1}{2})\)
| Point: | Quadrant: |
\((1,1\frac{1}{2})\)
\((\frac{1}{2}, -1)\)
\((1\frac{1}{2},0)\)
\((-1\frac{1}{4},-1\frac{1}{2})\)
\((-1, 1\frac{1}{2})\)
Model with Mathematics Luke is making a model of a park. He has the basketball court drawn on his model.
a. The swing set is located at the reflection of point B across the x -axis. What ordered pair describes the location of the swing set?
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b. The slide is located at the reflection of point C across the x -axis. What ordered pair describes the location of the slide?
c. A water fountain is located at the reflection of point D across the y -axis. What ordered pair describes the location of the water fountain?
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Problem Solving on the Coordinate Plane
Videos and solutions to help Grade 6 students learn how solve problems related to the distance between points that lie on the same horizontal or vertical line and the coordinate plane.
New York State Common Core Math Module 3, Grade 6, Lessons 19
Students use the coordinate plane to graph points, line segments and geometric shapes in the various quadrants and then use the absolute value to find the related distances.
Opening Exercise
In the coordinate plane, find the distance between the points using absolute value. Exercises
1. Locate and label (4, 5) and 4, –3 ) Draw the line segment between the endpoints given on the coordinate plane. How long is the line segment that you drew? Explain.
2. Draw a horizontal line segment starting at (4, -3) that has a length of units. What are the possible coordinates of the other endpoint of the line segment? (There is more than one answer.)
Which point do you choose to be the other endpoint of the horizontal line segment? Explain how and why you chose that point. Locate and label the point on the coordinate grid.
- Each of the vertices lies in a different quadrant.
- Its sides are either vertical or horizontal.
- The perimeter of the rectangle is 28 units.
Using absolute value, show how the lengths of the sides of your rectangle provide a perimeter of 28 units.
Lesson Summary
The length of a line segment on the coordinate plane can be determined by finding the distance between its endpoints.
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Module 6 - Problem Solving with the Coordinate Plane
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Our resource for enVision Geometry includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence.
Interpret the meanings of points with positive and negative coordinates plotted on a coordinate plane.
Coordinate Plane. GettING the IDeA. You can use coordinates and absolute value to find the distance between two points on a coordinate grid. To find the distance between the points A(25, 4) and B(21, 4), plot the ordered pairs and draw a line segment between the points.
LESSON Practice A 1-6 Midpoint and Distance in the Coordinate Plane Complete the statements. 1. A coordinate plane is a plane that is divided into four regions by a horizontal number line, the x-axis, and a vertical number line, the y-axis. 2. The location, or coordinates, of a point are given by an ordered pair (x, y). Use the figure for ...
Lesson 5 Problem Set 5•6 Name Date 1. Use the coordinate plane to the right to answer the following questions. a. Use a straightedge to construct a line that goes through points # and $. Label the line . b. Line is parallel to the _____-axis and is perpendicular to the _____-axis.
Grade 6 McGraw Hill Glencoe - Answer Keys. Chapter 5: Integers and the Coordinate Plane;Lesson 6: The Coordinate Plane. Please share this page with your friends on FaceBook. Identify the ordered pair that names each point. Then identify the quadrant in which it is located.
Examples, solutions, videos, and lessons to help Grade 6 students learn to solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
How to solve problems related to the distance between points that lie on the same horizontal or vertical line and the coordinate plane, examples with step by step solutions, use the coordinate plane to graph points, line segments and geometric shapes in the various quadrants and then use the absolute value to find the related distances, Common ...
Module 6 - Problem Solving with the Coordinate Plane. ... Homework Answers. ... Lesson 2. Lesson 3. Lesson 4. Lesson 5. Lesson 6. Lesson 7. Lesson 8. Lesson 9. Lesson 10
T428 Mathematics Success – Grade 6 Lesson 19: Solving Problems in the Coordinate Plane [Objective] The student will plot ordered pairs containing rational values to identify vertical and horizontal lengths between two points in order to solve real-world problems. [Prerequisite skills] plotting points [Materials] Student pages S218-S232 ...