The Year 5 Compare Calculations 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
calculation: Determines an amount. It may involve addition, subtraction, multiplication or division, or a combination of these.
>, < and =: Comparison symbols used to represent more than (>), less than (<) and equal to (=).
bar models: Show how numbers can be split into different parts, by splitting them into bars or boxes. Bar models can be used to solve a wide variety of calculations, showing the relationship between the whole model and the parts.
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
• Comparing two additions by finding the number that is the same in both.
Support
• Q1: Compare two additions with bar models; identify the part that changes.
• Q2: Use >, < or = to compare calculations; one number changes; with prompt.
• Q3: Order four calculations by size of answer; common number given.
Core
• Q1: Compare two additions with bar models; identify what changes and what stays the same; bar not scaled.
• Q2: Use >, < or = to compare calculations; numbers may change or be reordered.
• Q3: Order four calculations by size of answer; compare how the numbers change.
Stretch
• Q1: Compare two additions with bar models; numbers are reordered or more than one part changes; bar not scaled.
• Q2: Use >, < or = to compare calculations; number changes balance or affect the answer.
• Q3: Order four calculations by size of answer; both numbers change.
Reasoning and Problem Solving
Support
• Q1: Reasoning - explain a misconception when comparing two additions; one addend stays the same and the other changes.
• Q2: Reasoning - explain about a missing digit; comparison has a common addend and clear boundaries.
• Q3: Problem Solving - find three possible addends to place a calculation between two others; one stays the same.
Core
• Q1: Reasoning - explain a misconception where both addends change; consider the combined effect of the changes.
• Q2: Reasoning - explain about possible missing digits; consider boundaries and when calculations are equal.
• Q3: Problem Solving - find three missing addends that meet different criteria; addend stays the same.
Stretch
• Q1: Reasoning - explain a misconception where both addends change; consider the effects of the changes; changes do not cancel out.
• Q2: Reasoning - explain about possible missing digits; second addend different.
• Q3: Problem Solving - three pairs of addends to place a calculation between two others; both addends can change.
Deeper Reasoning
The question in this set focuses on problem solving with digit cards to complete comparison statements to deepen understanding in adding and subtracting numbers mentally with increasingly large numbers.
