Videos and solutions to help Grade 6 students use absolute value to determine distance between integers on the coordinate plane in order to find
side lengths of polygons.

New York State Common Core Math Module 5, Grade 6, Lesson 7

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Common Core For Grade 6

• Students use absolute value to determine distance between integers on the coordinate plane in order to find side lengths of polygons.

Lesson 7 Classwork

Example 1

Determine the lengths of the given line segments by determining the distance between the two endpoints.

Exercises

Complete the table using the diagram on the coordinate plane.**Problem Set**

1. Given the pairs of points, determine whether the segment that joins them is horizontal, vertical, or neither.

a. X(3,5) and Y(-2,5)

b. M(-4,9) and N(4,-9)

c. E(-7,1) and F(-7,4)

2. Complete the table using absolute value to determine the lengths of the line segments

Points: (-3,5), (7,5)

Points: (1,-3), (-6,-3)

Points: (2,-9), (2,-3)

Points: (6,1), (6,16)

Points: (-3,0), (-3,12)

3. Complete the table using the diagram and absolute value to determine the lengths of the line segments.

4. Complete the table using the diagram and absolute value to determine the lengths of the line segments.

5. Name two points in different quadrants that form a vertical line segment that is 8 units in length.

6. Name two points in the same quadrant that form a horizontal line segment that is 5 units in length.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

New York State Common Core Math Module 5, Grade 6, Lesson 7

Related Topics:

Lesson Plans and Worksheets for Grade 6

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 6

Common Core For Grade 6

Lesson 7 Student Outcomes

• Students use absolute value to determine distance between integers on the coordinate plane in order to find side lengths of polygons.

Lesson 7 Classwork

Example 1

Determine the lengths of the given line segments by determining the distance between the two endpoints.

Exercises

Complete the table using the diagram on the coordinate plane.

1. Given the pairs of points, determine whether the segment that joins them is horizontal, vertical, or neither.

a. X(3,5) and Y(-2,5)

b. M(-4,9) and N(4,-9)

c. E(-7,1) and F(-7,4)

2. Complete the table using absolute value to determine the lengths of the line segments

Points: (-3,5), (7,5)

Points: (1,-3), (-6,-3)

Points: (2,-9), (2,-3)

Points: (6,1), (6,16)

Points: (-3,0), (-3,12)

3. Complete the table using the diagram and absolute value to determine the lengths of the line segments.

4. Complete the table using the diagram and absolute value to determine the lengths of the line segments.

5. Name two points in different quadrants that form a vertical line segment that is 8 units in length.

6. Name two points in the same quadrant that form a horizontal line segment that is 5 units in length.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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