Grade 6: Coordinates

Warm up with a quick recall on the board. Plot and read points as (across, up), x before y, starting from the origin. Extend to four quadrants and describe moves and reflections.

Coordinates pinpoint a location on a grid using an ordered pair of numbers, such as (3, 2). The first number is how far across (the x axis), the second is how far up (the y axis). The two axes cross at the origin, (0, 0). Getting the order right, across before up, is the whole skill at this level. Model the method clearly, thinking aloud:

• Start with a grid where only the lines are numbered, and plot points where lines cross, not in the squares.
• Teach the order with a phrase like 'along the corridor, then up the stairs': the x value first, then the y.
• Always begin counting from the origin (0, 0) for every point.
• Practise both directions: read the coordinates of a marked point, and plot a point from a given pair.
• Extend to all four quadrants with negative coordinates, and to simple shapes and reflections, once the first quadrant is secure.

Do the first few questions of the practice worksheet together, one child explaining each step. Check for understanding before releasing the class to work alone.

Students complete the worksheet independently. Hand out the three difficulty levels below so every child works at the right stretch.

Circulate and look for these, they are the usual sticking points:

• Reversing the pair and plotting (3, 2) as 2 across and 3 up.
• Counting the squares instead of the grid lines.
• Starting the count from somewhere other than the origin.
• Muddling which axis is x and which is y.
• Reversing the coordinates (up before across) and mis-signing points in the negative quadrants.

Pull the class back together. Ask one child to explain coordinates in their own words, pose a single check question everyone answers on a mini whiteboard, and name what you will build on next lesson.

Use the independent worksheet as the evidence. A child who can complete it accurately and explain one answer has met the objective; anyone who cannot needs the easier level and a short reteach next session.