# Alternative Number Systems

Students investigate alternative number systems including the Roman and Egyptian systems.  Less able students create a system similar to the Romans that counts numbers above one.  More able students are challenges to use a different base.  This lesson links well with history and human development.At the start  students recap how to multiply and divide by a power of ten.  In the development phase they compare and critique number systems to our own decimal system.  Later on students are create their own number system and teach it to their peers.
##### Differentiated Learning Objectives
• All students should be able to convert to and from Roman and Egyptian Numerals.
• Most students should be able to compare and critique alternative number systems to our own decimal system.
• Some students should be able to recognise the importance of zero in creating an effective number system that includes proportionate amounts.

### Mr Mathematics Blog

#### Calculating a Reverse Percentage

How to teach calculating the original amount after a percentage change.

#### Two-Way Tables and Frequency Trees

Problem solving lesson on two-way tables and frequency trees.

#### Plotting Curved Graphs

Three typical exam questions to revise on plotting quadratic, cubic and reciprocal graphs.