Construct a Coordinate System on a Plane

Videos, solutions and examples to help grade 5 students learn how to construct a coordinate system on a plane.

New York State Common Core Math Module 6, Grade 5, Lesson 2

Worksheets for Grade 5

Lesson 2 Concept Development

Problem 1: Construct a second number line, perpendicular to the x-axis, to give the coordinates of points that do not fall directly on the x- or y-axis.

Problem 2: Name the coordinate pairs of shapes on the coordinate plane.

Lesson 2 Problem Set

1. a. Use a set square to draw a line perpendicular to the x-axes through points P, Q, and R. Label the new line as the y-axis.
   b. Choose one of the sets of perpendicular lines above and create a coordinate plane. Mark 7 units on each axis and label as whole numbers.
2. Use the coordinate plane to answer.
   a. Tell the shape at each location.
   b. Which shape is 2 units from the y-axis?
   c. Which shape has an x-coordinate of 0?
   d. Which shape is 4 units from the y-axis and 3 units from the x-axis?
3. Use the coordinate plane to answer.
   a. Fill in the blanks.
   b. Name the shape whose x-coordinate is 1/2 unit more than the heart’s x-coordinate.
   c. Plot a triangle at (3, 4).
   d. Plot a square at (4 3/4, 5).
   e. Plot an X at (1/2, 3/4).
4. The pirate’s treasure is buried at the X on the map. How could a coordinate plane make describing its location easier?

• Show Step-by-step Solutions

Lesson 2 Homework

1. a. Use a set-square to draw a line perpendicular to the x-axis through point P. Label the new line as the y-axis.
   
2. Mr. Palmer plans to bury a time capsule 10 yards behind the school. What else should he do to make naming the location of the time capsule more accurate?

• Show Step-by-step Solutions

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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