Max Maths, Year 4, Learn together, Addition and subtraction with 3-digit numbers using number lines (1)

In the Max Maths programme for Year 4, students are introduced to the concept of using number lines for addition and subtraction with 3-digit numbers. This method encourages mental arithmetic by utilising the proximity of numbers to multiples of ten. For instance, when adding 742 and 32, a student can recognise that 32 is just 2 more than 30. By first adding 30 to 742 and then the remaining 2, the calculation becomes simpler, and the answer is 774. This technique breaks down the addition process into more manageable steps and reinforces the understanding of place value and number relationships.

Another example provided in the lesson is the calculation of 337 + 49. Here, students learn to see 49 as one less than 50, which can be mentally added to 337 more swiftly, followed by subtracting 1 to find the precise sum of 386. Similarly, when adding 263 and 29, the number 29 is perceived as one less than 30. Students are taught to count on 30 from 263 and then subtract 1 to arrive at the correct total of 292. These strategies not only simplify the calculations but also help students to develop mental maths skills and confidence in handling larger numbers without the need for written methods or calculators.