Number properties vocabulary can become a guessing game if students only memorise labels. The aim is for students to connect the word to a reason: even numbers can be shared into two equal groups, factors divide without a remainder and prime numbers have exactly two factors.
The Daily Maths Review number properties app keeps those ideas in short practice sets. Teachers can choose odd/even, prime/composite, factors, multiples, HCF, LCM, powers of 10 or mixed practice, then set the level.
Start with the property and the proof
Before students answer, ask what would prove their choice. For prime and composite questions, students should think about factors. For multiples, they should connect the number to skip counting or multiplication facts.
- Use odd/even when students need fast vocabulary practice.
- Use prime/composite when students are learning factor counts.
- Use factors before asking students to find HCF.
- Use multiples before asking students to find LCM.
Build from lists to common properties
HCF and LCM questions make more sense after students can list factors and multiples accurately. Run a few listing questions first, then switch to HCF or LCM and ask students which lists they compared.
Run three factors questions, pause to circle shared factors on a whiteboard, then switch to HCF with the same level.
Use answers to choose the next model
If students confuse factors and multiples, return to arrays or skip counting. If prime/composite is shaky, list factor pairs. If HCF or LCM is difficult, model two lists side by side before returning to the app.