Max Maths, Year 4, Learn together, Word problems (3)

In a practical application of fractions and division, Year 4 students encounter a word problem involving Simon's 12 km run. The problem is designed to help them understand how to calculate distances covered before taking breaks, based on fractions of the total distance. Simon takes his first break after completing one-sixth of his run, and his second break after two-thirds of the distance. To solve this, students are encouraged to use a number line to visually represent Simon's progress and calculate the distances.

Using the number line and division, students find that one-sixth of 12 km is 2 km, because when you divide 12 by 6, the result is 2. Similarly, they learn that one-third of 12 km is 4 km, so two-thirds must be twice that amount, which is 8 km. With this approach, the students can clearly see that Simon stopped for his first drink after running 2 km and for his second drink after 8 km. This exercise not only reinforces their understanding of fractions and division but also shows how these mathematical concepts can be applied to real-life situations.