The Year 4 Add up to Two 4-Digit Numbers – No 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.
placeholder: 0 is used to hold a place in a number and maintain its place value.
exchange: When a digit is taken from one place value column and placed in another.
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, a place value chart and sentence stems to complete a column addition.
Support
• Q1: add two 4-digit numbers with counters; digits already in the grid.
• Q2: complete a column addition with two 4-digit numbers, with prompts.
• Q3: complete a part-whole model with the parts already written in the grid.
Core
• Q1: add two 4-digit numbers with counters, using a blank grid.
• Q2: complete a column addition with a 4-digit and a 3-digit number, including a placeholder.
• Q3: complete a part-whole model, using a blank grid for the written method.
Stretch
• Q1: add with counters where a column is empty or has no thousands.
• Q2: line up a linear addition where a 3-digit number is written first.
• Q3: complete a part-whole model, including placeholders, with no working grid given.
Reasoning and Problem Solving
Support
• Q1: Reasoning - checking a two-step worked answer to a "more than" problem, with a tip.
• Q2: Reasoning - explaining whether a character has added correctly, with a tip.
• Q3: Problem Solving - filling missing digits in an addition with most digits given, with a tip.
Core
• Q1: Reasoning - checking a two-step worked answer to a "more than" problem.
• Q2: Reasoning - explaining whether a character has lined up and added correctly.
• Q3: Problem Solving - filling missing digits so an addition needs no exchange.
Stretch
• Q1: Reasoning - checking a two-step worked answer with a 3-digit difference.
• Q2: Reasoning - judging a claim about the order of adding or lining up digits.
• Q3: Problem Solving - filling missing digits with an extra condition on the total.
Deeper Reasoning
The question in this set focuses on a problem solving with a place value chart and missing number problems deepen understanding in adding numbers with up to 4 digits using the formal written methods of columnar addition where appropriate.
