Mathematics·Mathematical Thinking·meta
Reasoning with Equivalences
Recognise and use repeated reasoning to generalise: extend patterns in equivalent fractions and percentage conversions, derive unknown facts from known facts, describe general rules for sequences and predict terms
Suggested ages 9–10
Learning journey
Your child is developing advanced problem-solving skills, learning to choose the best mathematical tools and methods for complex problems, and communicating their mathematical reasoning clearly.
Evidence of understanding
- Notice that multiplying any number by 25 can be done by multiplying by 100 then dividing by 4, and explain why
- Describe the general rule for a sequence and predict the 20th term
- Generalise: to find 10% divide by 10, to find 5% halve 10%, and use this to find 35% of any number
Assessment prompt
When Reasoning with Equivalences sees a sequence of equivalent fractions — like 1/2, 2/4, 3/6… — can they describe the rule and use it to find the next few terms, or to quickly convert between fractions and percentages?
Standards alignment
No external standards are linked to this topic.