Drawing and completing on the square grid

A square grid provides reference points for drawing, but your child still has to preserve the properties of the requested figure. This page applies the Primary 4 outcome on drawing rectangles and squares. Counting grid intervals helps locate endpoints, while equal opposite sides and right angles determine whether the finished shape is valid, including when its sides do not follow the page edges.

• Use the given side or vertices as fixed information when completing a rectangle or square, rather than shifting them to easier grid positions.
• Count the intervals between grid lines to place a horizontal or vertical side of the stated length accurately.
• Complete the opposite sides so that they match in length and direction, with neighbouring sides meeting at right angles.
• Check all four corners and the required equal lengths after joining points; a closed four-sided outline alone is not enough.

For a rectangle whose sides follow the grid lines, count the intervals along each pair of opposite sides. The two horizontal counts must agree and the two vertical counts must agree, with four square corners; if the question asks for a square, all four counts must match.

The Basic questions give three vertices and ask your child to complete an upright or tilted rectangle or square. Intermediate questions use a length-and-breadth relationship or a given side to complete a rectangle or square. Challenge tasks find a missing dimension from area or choose which side of a given edge allows a square to avoid a shaded flag. Keep the supplied vertices in place and check the requested lettering after completing each figure. These are drawing tasks, so use the question's grid and compare the construction with the solution. A successful review should account for the side lengths and corners together, including figures whose sides do not follow the horizontal grid lines.

Should my child count grid lines or the spaces between them? Count the spaces, because they measure the distance travelled from one line to the next. Two adjacent grid lines enclose one interval. Your child can begin at the first point and count each move to a neighbouring line, rather than counting the starting line as one unit. This keeps the drawing's lengths consistent with the stated grid scale.

Can a square be tilted on the grid? Yes, turning a square does not change its equal sides or right angles. A tilted drawing needs those same properties even though its edges cross the grid squares. Ask your child to check the corners and matching side movements rather than trying to make every side horizontal or vertical. The orientation of the page does not define the shape.

Why should my child use a ruler when the grid is already there? The grid helps locate points, while a ruler joins them with straight sides. A freehand line may hide whether an endpoint or corner has been placed accurately. Once the figure is complete, your child should compare it with the question's given information and the solution, including the original fixed points and any required labels.