Number Bases
A resource package to support the teaching of number bases in schools.
- ALL
- STEM Club
- Textbook
- External link
STEM Club
Algebra on the Planet Zog!
Teacher notes containing inspirational ideas as to how work with number bases and modular arithmetic can be incorporated into lessons.
Textbook
Base Arithmetic
The text book contains good exercises using binary arithmetic, adding, subtracting and multiplying binary numbers. There follows a further section exploring different number bases.
The activity sheet has nice actiities looking at binary codes and ASCII codes
Place Value and Number Systems
This SMILE resource contains three packs to support the teaching and learning of place value and the number system, from identifying simple numbers to working with different number bases.
Place value and the number system pack one contains thirteen work cards with a wide variety of activities requiring students to solve basic number puzzles, order numbers, work with Egyptian numbers, calculate using simple clock arithmetic, and follow a flowchart to produce numbers.
Place value and the number system pack two contains six work cards with activities about Roman numerals, Bengali numbers, Urdu multiples and a Chinese number puzzle.
Place value and the number system pack three contains seven work cards covering Hindi additions, Panjabi numbers, Cuneiform numbers, binary fractions, and working in different number bases.
Task Maths 2
Chapter 12 Painting By Numbers
page 84 of the book (p.85 of the pdf)
A nice exercise using modulo arithmetic to make coloured patterns. The activity leads on to investigating patterns made on Pascal's triangle when the triangle is formed using arithmetic to different moduli.
External link
Numberphile Video: Base 12
In this Numberphile video, Dr James Grime explains how to work in base 12 and makes the case for its wider use.
Modulo arithmetic calculator
A link to the Modular Arithmetic Calculator, which performs arithmetic modulo an integer (also known as "clock arithmetic"). Modular arithmetic is essential to many aspects of communication in today's world, including:
Public key cryptography, which keeps your personal information secure when you make purchases over the Web.
Error-correcting codes, which enable you to make calls on your cell phone despite interference to the call signal.
To use the Modular Arithmetic Calculator, enter a non-zero integer for the modulus m, and integers a and b below. Then press one of the operation buttons. The answer is displayed next to Result.
NRich modulo Arithmetic
A link to the NRich website containing teacher notes suggesting a method for introducing modular arithmetic using a clock face.
