Maths In Minutes

SATs Masterclass

Maths Masterclass

Developing Greater Depth in KS2

Addition and Subtraction: from Informal to Formal

Greater Depth for Year 6 Specific Topics

Teaching Algebra in Year 6

Bar Model Essentials

Bar Models in KS2 Part 1: Multi-Step Problems

Division Part 1 : Lower KS2

Division Part 2: Upper KS2

Shape and Angles

Introduction to Fractions: All Years

Fractions Part 2: Upper KS2

Fractions Part 1: Lower KS2

Top Tips for Times Tables

Multiplication Part 1: Lower KS2

Multiplication Part 2: Upper KS2

Place Value Essentials

Bar models in KS2 Part 2: Solving Complex Problems

Strategies for Mental Calculations

Bar Modelling for Year 6

Fractions, Decimals & Percentages Conversion

CPD Support

SATs

Assessment and Diagnostics

Division

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Once pupils are secure with informal approaches, they should move on to the bus stop method for dividing 2 and 3 digit numbers by one digit. Watch this video for a quick summary of this method.

How to Use the Bus Stop Method for Division of 2 and 3 Digit Numbers

This video shows a second example of how you can use place value counters alongside the bus stop method to reinforce pupils' understanding of division.

How to Introduce the Bus Stop Method of Division Using Place Value Counters

In this video you'll see how pupils can use counters alongside the bus stop method to build a really solid conceptual understanding of division. 


How to Model Division of 2 Digit Numbers Using Place Value Counters

Watch this video to see how pupils can divide numbers informally by repeatedly subtracting larger chunks. They'll need to have secure knowledge of their times tables for this.

How to Divide 2 and 3 Digit Numbers with Grouping and Repeated Subtraction

Base ten are a useful resource for reinforcing what is happening when pupils are asked to divide a two digit number by a one digit number. See an example here.

How to Model Division Using Base Ten

The number line method is an invaluable approach when building children's conceptual understanding of division in lower year groups, before moving on to more formal methods.

How to Model Division of 2-Digit Numbers on a Number Line

Multiplication

Watch this video to see how your pupils can move from the "expanded" method of written multiplication (a useful stepping stone to help pupils understand what is happening) to the shorter, more compact method.

How to Teach Long Multiplication for Two Digit by One Digit Multiplication

When you move from the concrete to the pictorial with multiplication of large numbers, the grid method can be a more efficient and helpful approach. See how to multiply two digit numbers by two digit numbers this example. 

How to Teach the Grid Method for Multiplication of Two Digit Numbers by Two Digit Numbers

Whilst the 2014 curriculum emphasises formal written methods, informal methods remain a useful stepping stone to help reinforce pupils' understanding. In this video we'll look at how the grid method can help pupils understand the process of multiplying two digit numbers by one digit numbers. 

How to Teach the Grid Method for Multiplication of Two Digit Numbers by One Digit Numbers

Demonstrating the relationship between multiplication and division using arrays helps pupils to understand commutativity. See how pupils can explore this using counters in this video.


How to Use Arrays to Explore Multiplication and Division Facts

Subtraction

Once pupils are confident with lining up and subtracting the digits in the formal written method without exchanging, you can introduce the concept of exchanging. Remember not to refer to this as borrowing! Watch this video to see how to model the steps alongside your place value chart. 

How to Teach Formal Written Subtraction (With Exchanging)

When you start introducing column subtraction, you'll want to begin with simple problems which don't involve any exchanging. In this clip you'll see how to model the written method alongside the steps on a place value chart, to help reinforce pupils' conceptual understanding. 

How to Teach Formal Written Subtraction (Without Exchanging)

Pupils need to be able to use a range of informal methods to solve subtraction problems. In this video, we'll look at using a number line and counting back in hundreds, tens and ones -  a useful method for developing pupils' number sense and fluency.

How to Teach Subtraction by Counting Back in Hundreds, Tens, and Ones

Addition

With column addition, regrouping can be a tricky step for your pupils. See how to help them understand exactly what is happening when they regroup, using base ten and a place value chart. 

How to Teach Column Addition of Two Digit Numbers (With Regrouping)

Find out how to model the process of addition using base ten resources and a PV chart to help pupils build a secure understanding of the steps they need to take with written column addition. This video looks at an example without any regrouping.

How to Teach Column Addition of Two Digit Numbers (No Regrouping)

It's important that your pupils are able to employ a variety of informal methods to solve addition questions. Here, we look two methods: partitioning and counting on on a number line. This example looks at TO + TO but can be applied to calculations with larger numbers.

Division

Division

Division

Division

Division

Division

Multiplication

Multiplication

Multiplication

Multiplication

Subtraction

Subtraction

Subtraction

Addition

Addition

Addition

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