The Year 4 Add Two 4-Digit Numbers – More than One Exchange PowerPoint guides both teachers and children through the lesson, including use of the varied fluency, reasoning and problem solving, deeper reasoning and scaffolded resources. Key learning information about this step:
Key Vocabulary
formal written method: This is also known as the column method for addition, subtraction and multiplication. For division, this may also be known as the bus stop method.
place value chart: Used to identify the value of the digits that make up a number.
exchange: When a digit is taken from one place value column and placed in another.
placeholder: 0 is used to hold a place in a number and maintain its place value.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
For the purple sections of the four levels, copy and paste these from the first sheet of the varied fluency resource.
Scaffolded Examples
• Using counters with a step-by-step guide; completing a column addition with the exchanged digits given; completing a bar model with the parts already in the grid.
Support
• Q1: add two 4-digit numbers with counters; the exchanged digits are given.
• Q2: complete column additions with the numbers and exchanged digits already in the place value grids.
• Q3: solve a bar model word problem with the parts already in a place value grid.
Core
• Q1: add two 4-digit numbers with counters, using a blank chart.
• Q2: transfer two linear additions into grids and solve them.
• Q3: solve a bar model word problem with a blank grid for the written method.
Stretch
• Q1: draw the counters, where three exchanges are needed.
• Q2: transfer two linear additions into grids and find the totals, which include one or two placeholders.
• Q3: predict the number of exchanges then solve a bar model word problem with a blank grid for the written method.
Reasoning and Problem Solving
Support
• Q1: Reasoning - judging a character’s claim about how many exchanges are needed, with place value counters.
• Q2: Problem Solving - finding pairs of 4-digit numbers that make a target code or total with two exchanges, within a given range.
• Q3: Problem Solving - choosing one missing digit so that an addition needs two exchanges.
Core
• Q1: Reasoning - judging a character’s claim about how many exchanges are needed.
• Q2: Problem Solving - finding pairs of 4-digit numbers that make a target code or total with two exchanges.
• Q3: Problem Solving - choosing two missing digits so that an addition needs two exchanges.
Stretch
• Q1: Reasoning - judging a character’s claim about which columns exchange.
• Q2: Problem Solving - finding pairs of 4-digit numbers that make a target code or total with three exchanges.
• Q3: Problem Solving - choosing two missing digits so that an addition needs three exchanges and the total has a zero placeholder. Calculation is written in linear form.
Deeper Reasoning
The questions in this set focus on problem solving to identify two numbers to reach a given 4-digit total to deepen understanding in adding numbers with up to 4 digits using the formal written methods of columnar addition where appropriate.
