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Features

  • Read the coordinates of ten points in all four quadrants
  • Plot and label ten points from their coordinates
  • Find the fourth vertex of a rectangle or a square, one of them tilted
  • Translate shapes from one quadrant to another and write the new vertices
  • Reflect shapes in the x-axis or the y-axis and write the new vertices
  • Axes from −6 to 6 or −5 to 5, every line numbered
  • A worked example on every page
  • Answer keys included

Skills Covered

  • Read the coordinates of a point in any of the four quadrants
  • Plot points with negative coordinates, such as (−3, 2)
  • Find the missing vertex of a rectangle or square
  • Translate a shape and give the coordinates of its new vertices
  • Reflect a shape in the x-axis or the y-axis
  • Use the signs of the coordinates to tell which quadrant a point is in

How to Use This Pack

Five pages for Year 6 on the full coordinate grid, with the x-axis and the y-axis crossing at the origin. Page 1 asks children to read the coordinates of ten points spread over all four quadrants. Page 2 works the other way: children plot and label ten points from their coordinates. Page 3 gives three corners of a rectangle or square, one of them tilted, and children plot them, find the fourth corner and write its coordinates. Page 4 translates shapes from one quadrant into another, and page 5 reflects shapes in the x-axis or the y-axis; on both, children draw the new shape and write the coordinates of each vertex.

In the Classroom

Draw the axes on the board and mark the origin. Walk along the x-axis first, then up or down: "along the corridor, then up the stairs". Ask children what is the same about every point in the bottom left quadrant, and what happens to the coordinates when a point is reflected in the y-axis.

At Home

Draw a large grid with both axes on squared paper and take turns calling out coordinates, such as (−4, 3), for the other person to plot. Join the points to make a shape, then reflect it in one of the axes together.

Tips for Success

  • Read across the x-axis first, then up or down the y-axis
  • Left of the y-axis, x is negative; below the x-axis, y is negative
  • A translation adds the same amount to every x and the same to every y
  • Reflecting in the y-axis changes the sign of x; in the x-axis, the sign of y
  • Opposite sides of a rectangle move the same way: D = A + C − B

Coordinates in Four Quadrants

5th Grade

Reading, plotting and moving points on a coordinate grid with all four quadrants and negative numbers. Students read and plot coordinates such as (−3, 2), find the missing vertex of a rectangle or square, and translate and reflect shapes in the axes, giving the new coordinates of each vertex.

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What’s Included

  • 5 worksheets with answer keys (10 pages)
  • Read and plot points in four quadrants
  • Find the missing vertex of a rectangle or square
  • Translate and reflect shapes, with new coordinates
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