Develop and use written methods to record, support and explain multiplication and division of two-digit numbers by a one-digit number, including division with remainders

View all Year 4 Block D objectives.

 
Division by chunking up (repeated addition) Division by chunking up (repeated addition)

Use repeated addition (represented on a number line) to solve division problems.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

The Calculations app is available on Google Play and the App Store.

Division by chunking down (repeated subtraction) Division by chunking down (repeated subtraction)

Use repeated subtraction (represented on a number line) to solve division problems.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

The Calculations app is available on Google Play and the App Store.

Representing Multiplication - arrays and number lines Representing Multiplication - arrays and number lines

Represents multiplication using an array and by jumping on a number line. Great for developing an understanding of multiplication by partitioning.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

The Calculations app is available on Google Play and the App Store.

Round up or down after division Round up or down after division

Answer division word problems using a calculator and decide whether the answer needs to be rounded up or down depending on the context of the question

For more calculator resources click here.

Grid Method Multiplication Grid Method Multiplication

Multiply partitioned numbers using the grid method. Lots of choice of levels, inculding decimals and money. 

For more multiplication and division resources click here.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

The Calculations app is available on Google Play and the App Store.

Multiplication - Written Method Multiplication - Written Method

Working towards a more formal written method. 

For more multiplication and division resources click here.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

 

The Calculations app is available on Google Play (£1.25) and will be available in the App Store in July.

ITP Remainders ITP Remainders

View full screen in your browser.  This ITP sets up an empty grid into which you can place counters. Counters can be added singly, working from the first empty top left-hand corner cell, or in bulk clicking on a cell in the final row. As each column is completed it is numbered. The division calculation representing the number of highlighted counters divided by the number of rows can be revealed and hidden using the equals sign button. The answer appears when the equals sign in the calculation is clicked. Any remainder can also be shown as a fraction. In the example, below, there are 17 counters in a grid with 5 rows. Three columns are completed and there are 2 counters in the incomplete column. The displayed result will be:
17÷ 5 = 3r2 or 17÷ 5 = 3 2/5
Removing or highlighting extra counters will change the calculation displayed.
The ITP can be used to demonstrate division as grouping, and to develop children’s understanding of remainders and the notation for division. Keeping the number of counters fixed but changing the number of rows demonstrates the effect of changing the divisor in the calculation. Children can explore the effect different divisors has on the remainder and they can look for division calculations whose remainders satisfy particular properties.

This resource is freely available to download from the archived Primary Framework site.

For more multiplication and division resources click here.

ITP Multiplication Array ITP Multiplication Array

October 2012 - I have added a new game which represents multiplication on a number line and using a dotty array. It is ideal as an introduction to the grid method, as it provides a concrete image of how and why we partition numbers to multiply. Click here to play.

This resource is freely available to download from the archived Primary Framework site.

For more multiplication and division resources click here.