Mixed practice, Revision 2 (Chapters 5 to 7)

This revision page asks your child to bring a shape's properties into the decision about how to answer. A named rectangle gives information about opposite sides and corners; a named square adds equality of all four sides. The aim is to use those facts deliberately, whether the question asks for a missing measurement, a reason or a completed figure.

• Translate the words rectangle and square into usable information about equal lengths, parallel sides and 90° corners.
• Distinguish a measurement supplied by the question from a length or angle that must first be found using a shape property.
• Interpret a completed construction or grid figure using rectangle and square properties, then use its outer side lengths when a perimeter is required.
• Explain a conclusion with the particular side pair or corner involved, keeping the reasoning connected to the labelled figure.

If your child concludes that an unknown side belongs to a square, it must have the same length as each known side of that square. Substitute the proposed length into that equality and check it against the original label, rather than comparing it with an unrelated nearby segment.

All questions in this mixed rectangle and square set are Intermediate. One kind asks for an angle remaining inside a drawn square's corner, another reads a completed rectangle on a grid before finding its perimeter, and another uses a rectangle's perimeter to establish the side of a new square. Ask your child to state what the construction tells them before calculating the requested measurement. The set has no separate Basic or Challenge section, so return to a focused properties or drawing page if one connection needs more time. When reviewing an answer, check the transition between the figures: a side length may be carried into a new shape even though its whole perimeter is different.

What should my child say before choosing a calculation? A useful opening is the relevant fact about the figure, such as opposite sides of this rectangle are equal or this corner is a right angle. Your child can then name the labelled sides or angles involved. This makes the calculation traceable and helps you see whether the difficulty lies in recognising the property or carrying out the arithmetic.

Should we measure a printed side to find a missing length? Only when the instruction asks for measurement. Many property questions expect the answer to follow from the named shape, labels and side marks, and the picture may not be drawn to scale. Encourage your child to search for an equal opposite side or another stated relation before using a ruler to estimate the missing number.

How can revision show whether my child understands the properties? Ask for a reason that would still hold if the page were turned. A statement based on right angles or equal opposite sides survives that change; a statement based only on which side looks longest may not. Your child does not need a long explanation, but should be able to connect the answer to a known fact about the shape.