nrich
enriching mathematics
Skip over navigation
Home
Home
Students
Guide and features
Teachers
Guide and features
STEM
Science, Technology, Engineering and Mathematics
AskNRICH
Forum
early years
Featured Early Years Foundation Stage; US Kindergarten
Early years
primary
Featured UK Key Stage 1&2; US Grades 1-4
Primary teachers
secondary
Featured UK Key Stage 3-5; US Grades 5-12
Secondary teachers
primary lower
Featured UK Key Stage 1, US Grade 1 & 2
primary
primary
Featured UK Key Stage 2; US Grade 3 & 4
secondary lower
Featured UK Key Stages 3 & 4; US Grade 5-10
secondary
secondary upper
Featured UK Key Stage 4 & 5; US Grade 11 & 12
Topics
translate
Problem
Getting Started
Solution
Teachers' Resources
Printable page
For Richer for Poorer
Stage: 3
Challenge Level:
Try starting with a specific example.
e.g.
Group A is composed of people aged 2, 8, 10, 14 and 16 (average 10)
Group B is composed of people aged 5, 11, 12, 13 and 19 (average 12)
Investigate what happens to the averages when different members move from one group to the other.
Mean
.
Factors and multiples
.
Questioning
.
Creating expressions/formulae
.
smartphone
.
Mathematical reasoning & proof
.
Moving averages
.
Generalising
.
Interactivities
.
Visualising
.