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
Typical age: 9–10 years
“When your child 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?”
0 / 3 mastered
Explore graph
Needs first
- Shape patterns
Generating patterns from rules exercises repeated reasoning and generalisation
- Times tables (age 8+)REQUIRED
Age 8-9 repeated reasoning is prerequisite to age 9-10 level
- Equivalent fractions (age 9+)
Equivalent fraction patterns exercise generalisation
- Describing Rules & Patterns
Describing general rules for sequences and predicting terms applies the universal generalisation habit in a mathematical context