L10 Problem-Solving with Place Value

This Year 4 maths lesson plan focuses on developing problem-solving skills using place value knowledge. The lesson begins with a starter activity that recaps previous learning in place value, addition, and subtraction. Children match representations to numbers and write the numbers shown, giving teachers an assessment opportunity to identify gaps in understanding before tackling more complex problems. During the introduction, pupils explore a range of problem-solving tasks that build on their place value knowledge. They identify the odd one out in a set of numbers, order mountain heights from shortest to tallest, and round stadium capacities to the nearest thousand. Children also use base 10, place value counters, and visual representations to explore different possible answers, promoting flexibility and reasoning. They consider scenarios such as balancing scales and think critically about numbers Malachi could be imagining, connecting abstract numbers to visual models. The main activity involves a set of structured problem-solving questions that children stick into their books and solve step by step. Pupils are encouraged to show all their workings and may use drawings, place value charts, counters, or base 10 materials to support their reasoning. This hands-on approach helps consolidate understanding and encourages independent thinking. In the plenary, pupils reflect on the strategies they used, discuss which questions were most challenging, and create problem-solving questions for their partners. Sharing and discussing solutions encourages deeper understanding and communication of mathematical thinking. Key questions throughout the lesson support learning, including “What is the value of the ___ in this number?”, “Which operation do you need to use?”, and “How could you represent this number?” This lesson plan offers a structured, interactive, and flexible approach to developing Year 4 pupils’ problem-solving skills using place value knowledge in real-life and cl