Writing a Mathematical Explanation
Write a mathematical explanation that justifies a method or relationship, not only its answer.
Worked model: Writing a Mathematical Explanation
View the illustrated activity card
- 1Write a mathematical explanation that justifies a method or relationship, not only its answer
- 2Read again to mark quantities, units and relationships
- 3Represent the relationship with a sketch, table or equation
- 4Choose a method and check the result against the original question
A recipe for four people uses 300 g of rice. For six people, identify the scale factor 6/4 before calculating 450 g. The story context does not change the proportional relationship.
Teach the move
Prepare · 5 minutes
Select a word problem with relevant and incidental information.
- 1
Write a mathematical explanation that justifies a method or relationship, not only its answer.
- 2
Read again to mark quantities, units and relationships.
- 3
Represent the relationship with a sketch, table or equation.
- 4
Choose a method and check the result against the original question.
EAL upgrade
Remove supplied highlights and let learners choose their own representation.
Keep the subject challenge. Offer one model, visual or language prompt where needed, then check a fresh independent response.
Try it tomorrow
Select a word problem with relevant and incidental information.
Write a mathematical explanation that justifies a method or relationship, not only its answer. Read again to mark quantities, units and relationships.
Give a new problem or flawed step and ask for the relevant relationship and justification before accepting the numerical result.
Remove supplied highlights and let learners choose their own representation.
What to look for
Give a new problem or flawed step and ask for the relevant relationship and justification before accepting the numerical result.
Teacher language
Adapt these prompts to the task and your learners.
Our purpose is: Write a mathematical explanation that justifies a method or relationship, not only its answer.
Show the relationship and explain the choice you made.
Try the new case on your own. Show the detail or reasoning that supports your answer.
Which support do you still need, and which part can you now do independently?
Across subjects
Science: quantities and units in a practical question. Humanities: extract relevant evidence from a dense prompt.
Adjust language support
Use a small word bank, visuals and partner rehearsal when needed. Extend with precise explanations and qualifications. Judge the support from the response to this task.