L5 Represent Equivalence on a Number Line

Support Year 3 pupils in developing a deeper understanding of equivalent fractions with this engaging lesson using number lines. Designed for the Spring Fractions unit, this practical maths resource helps children recognise that different fractions can represent the same value by exploring their positions on a number line. The lesson begins by revisiting prior learning on fractions, numerators and denominators before introducing equivalent fractions through clear visual models and carefully structured number lines. Pupils learn how fractions that appear different can occupy the same point on a number line, helping them build strong conceptual understanding of equivalence. Using guided questioning, discussion activities and practical tasks, children compare fractions, identify equivalent values and explain their mathematical reasoning using appropriate vocabulary. The use of number lines encourages pupils to view fractions as numbers rather than simply parts of shapes, strengthening their fluency and confidence with fraction concepts. Interactive activities provide opportunities for children to label number lines, match equivalent fractions and spot patterns between fractions with different denominators. The lesson also addresses common misconceptions, such as believing larger denominators always represent larger values, and supports pupils in understanding the importance of equal intervals on a number line. Ideal for whole-class teaching, intervention sessions and mastery-based learning, this Year 3 fractions resource includes opportunities for assessment, reasoning and mathematical discussion. Fully aligned with the UK National Curriculum, the lesson supports pupils in recognising and showing equivalent fractions using visual representations and number lines.