OML Search

Interpret Points on the Plane as Distances from the Axes




 

Video Solutions to help grade 5 students learn how to investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes.

Related Topics:
Lesson Plans and Worksheets for Grade 5

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 5

Common Core For Grade 5

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



Lesson 6 Concept Development

Problem 1: Refer to locations as distances from the axes.
Problem 2: Construct horizontal and vertical lines on the coordinate plane.
Problem 3: Identify regions of the plane created by intersecting lines.



Lesson 6 Problem Set

1. Plot the following points, and label them on the coordinate plane.
A: (0.3, 0.1)
B: (0.3, 0.7)
C: (0.2, 0.9)
D: (0.4, 0.9)
a. Use a straightedge to construct line segments AB and CD.
b. Line segment _________ is parallel to the x-axis and is perpendicular to the y-axis.
c. Line segment _________ is parallel to the y-axis and is perpendicular to the x-axis.
d. Plot a point on line segment AB that is not at the endpoints, and name it U.
Write the coordinates. U( _____ , _____ )
e. Plot a point on line segment CD and name it V. Write the coordinates. V( _____ , _____ )

2. Construct line f such that the y-coordinate of every point is 3 1/2, and construct line g such that the x-coordinate of every point is 4 1/2.
a. Line f is ________ units from the x-axis.
b. Give the coordinates of the point on line f that is 1/2 unit from the y-axis. ________
c. With a blue pencil, shade the portion of the grid that is less than 3 1/2 units from the x-axis.
d. Line g is _________ units from the y-axis.
e. Give the coordinates of the point on line g that is 5 units from the x-axis. ________
f. With a red pencil, shade the portion of the grid that is more than 4 1/2 units from the y-axis.



 
3. Complete the following tasks on the plane below.
a. Construct a line m that is perpendicular to the x-axis and 3.2 units from the y-axis.
b. Construct a line a that is 0.8 units from the x-axis.
c. Construct a line t that is parallel to line m and is halfway between line m and the y-axis.
d. Construct a line h that is perpendicular to line t and passes through the point (1.2, 2.4).
e. Using a blue pencil, shade the region that contains points that are more than 1.6 units and less than 3.2 units from the y-axis.
f. Using a red pencil, shade the region that contains points that are more than 0.8 units and less than 2.4 units from the x-axis.
g. Give the coordinates of a point that lies in the double-shaded region.


Lesson 6 Homework

2. Construct line m such that the y-coordinate of every point is 1 1/2 and construct line n such that the x-coordinate of every point is 5 1/2.
a. Line m is ________ units from the x-axis.
b. Give the coordinates of the point on line m that is 2 units from the y-axis. ________
c. With a blue pencil, shade the portion of the grid that is less than 1 1/2 units from the x-axis.
d. Line n is _________ units from the y-axis.
e. Give the coordinates of the point on line n that is 3 1/2 units from the x-axis. ________
f. With a red pencil, shade the portion of the grid that is less than 5 1/2 units from the y-axis.
4. Complete the following tasks on the plane.
a. Using a blue pencil, shade the region that contains points that are more than 2 1/2 units and less than 3 1/4 units from the y-axis.
b. Using a red pencil, shade the region that contains points that are more than 3 3/4 units and less than 4 1/2 units from the -axis.
c. Plot a point that lies in the double shaded region, and label its coordinates.



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.



OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


[?] Subscribe To This Site

XML RSS
follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines