british grade 3 math

Welcome! I am so excited to help you dive into Year 3 maths, where we will explore everything from numbers up to 1,000 to fun shapes and fractions.

To help me tailor our sessions, are you a parent looking to help your child, or are you a student working through this curriculum yourself?

I'm a parent helping my child.

It is wonderful to have you here! Supporting your child at home is one of the most powerful ways to build their confidence, and Year 3 is a fantastic year where math really starts coming to life.

To give us a roadmap for our sessions, let's take a look at the five main mathematical destinations we'll be travelling through together.

Your path

Addition and Subtraction

Multiplication and Division

Fractions

Geometry and Measurement

Our very first stop is Number and Place Value, where we help children master numbers up to 1,000. Think of as the 'address' of a digit. It tells us exactly how much a digit is worth depending on where it sits. For example, in the number 352, the '5' isn't just a 5—it lives in the tens house, so it actually represents 50! When children truly grab this concept, it makes big numbers feel much less intimidating.

Show me a diagram of place value columns

You have got it! Visualising how numbers are built is the absolute best way to help children see that maths isn't just about memorising rules—it's about seeing how quantities actually fit together.

A three-column base-ten block representation of the number 146.

This kind of layout helps children instantly connect the symbol (like the digit '4') with the physical size of what it represents (40 small individual units).

Our next key step is showing how we can break these numbers apart into their individual values, which we call . For example, showing that 146 is made of a 100, a 40, and a 6.

Let's continue to partitioning numbers

Partitioning is such a satisfying breakthrough moment for children because it suddenly makes big, scary numbers feel completely manageable!

When we teach this, we want to help them see that a number like 146 isn't just a single block of digits; it is actually a team of smaller values working together. We can use a visual trick called a part-whole model to show how a whole number can be split up into its component 'parts'.

Part-whole tree structure for 146 decomposed into 100, 40, and 6 above a three-column place value grid.

By physically splitting the number into its 100, 40, and 6, your child can see how the values combine to make the whole. Once they are comfortable breaking numbers down this way, the next step in the Year 3 curriculum is to practice , specifically focusing on how numbers change when we count in 1s, 10s, and 100s. This is where they start to notice patterns, like how counting in 10s only changes the middle digit of their number!

Make a worksheet about partitioning

I've put together a specialized worksheet to give your child some excellent, hands-on practice with partitioning three-digit numbers.

This will help reinforce the idea of breaking numbers down into hundreds, tens, and ones, using both standard partitioning and some fun part-whole puzzle models.

SHEET

Worksheet

You can print this out or write the questions down on a piece of paper for them to solve.

Once they have mastered breaking these numbers apart, we are ready to move on to counting in 1s, 10s, and 100s, where they will start spotting some really cool patterns in how the digits change.

what other lessons are there?

Because we are following the National Curriculum for England, the Year 3 maths journey is structured into five big destinations that build solid mathematical foundations. Here is how they break down:

Destination	What Your Child Will Learn
1. Number & Place Value	Master numbers up to 1,000, counting in 1s, 10s, 100s, and comparing values
2. Addition & Subtraction	Adding and subtracting 3-digit numbers, using mental strategies and column methods
3. Multiplication & Division	Learning the 3, 4, and 8 times tables, and connecting them to division
4. Fractions	Finding fractions of shapes or amounts (like 1/3 of 12 sweets) and ordering them
5. Geometry & Measurement	Measuring lengths, telling the time, and exploring 2D and 3D shapes

Right now, we are in the middle of our first destination, Number and Place Value. We have looked at place value columns and partitioning. Next up is counting in 1s, 10s, and 100s, where we help children spot patterns in how numbers change as we skip-count up and down!

talk to me about Geometry & Measurement

It is so natural to want to peek ahead at geometry and measurement! Those topics are incredibly hands-on and visual, involving everything from classifying shapes to learning how to read and measuring perimeter.

We will absolutely explore all of those fun concepts when we get to Destination 5.

To make sure your child has the strongest possible foundation for geometry, it is best if we finish our current step first.

Let's jump back into Number and Place Value and look at counting in 1s, 10s, and 100s. When counting up and down from any 3-digit number, kids start to notice some really neat patterns in how the digits change!

Let's continue to counting in 1s, 10s, and 100s

Counting in 1s, 10s, and 100s is where your child starts to build real with numbers up to 1,000. Instead of treating addition or subtraction as a slow process of counting on their fingers, they will learn to see how changing a specific value (like adding 10) acts like a shortcut that only alters one single digit in their number. Let's look at how this works in practice. If we start with the number 352, watch what happens to the digits as we count up by 10s: 352 362 372 382 Do you see how the 'hundreds' digit (3) and the 'ones' digit (2) stay completely still, while only the 'tens' digit in the middle is ticking upward like a clock?

This pattern is incredibly reliable until we hit a specific boundary, like going from 392 to 402, where two digits have to change at once!

To help your child visualize these shifts clearly, let's look at how a three-digit number changes physically when we skip-count using base-ten blocks.

A base-ten block representation of the number 352 showing 3 hundreds flats, 5 tens rods, and 2 ones units above the written number 352 with active controls.

Using a visual like this helps children bridge the gap between abstract numbers and physical quantities. Once they notice that counting in 10s only changes the tens column, we can challenge them with 'boundary crossings'—such as counting backward by 10s from 205, or counting forward by 100s from 850.