Maths
Bar models: books for the class library
Compare book quantities with a bar model, calculate the total and remaining books, and explain how each step changes the library count.

Primary mathematics lead
I use concrete materials before moving to pictures and then notation, and I do not skip the hands-on stage just because pupils appear ready.
Explore the collectionI teach Year 3 and lead primary mathematics. I use concrete materials before moving to pictures and then notation, and I do not skip the hands-on stage just because pupils appear ready. Working with something they can arrange gives the class a shared way to talk about the mathematical idea before we represent it in another form.
Pupils may arrive with different methods and prior experiences. I want to understand what a method is showing before asking anyone to replace it with another approach. Comparing strategies can help us notice what remains constant, what changes and which representation makes a relationship easier to see.
I look for resources that help pupils explain their thinking, not just produce an answer. A diagram is useful when each part has a clear meaning; notation is useful when pupils can connect it to the quantities they have represented. I prefer a careful discussion of one example to a fast sequence that leaves the reasoning hidden.
Begin with objects pupils can handle and discuss.
Connect one idea across concrete, pictorial and symbolic forms.
Ask pupils to explain a method before comparing it with another.
Explore these templates and decide what fits your own setting.
Maths
Compare book quantities with a bar model, calculate the total and remaining books, and explain how each step changes the library count.
Maths
Represent three-digit numbers in hundreds, tens and ones, partition them and calculate addition or subtraction in columns, exchanging when required.
Maths
Explain a mathematical claim using an example, representation or calculation, then listen to a partner’s reasoning, compare approaches and explain why.
Maths
Draw the quantities in a word problem, connect the bar model to a number sentence and explain the answer with units.