Week 4

Topic(s)

  • Numbering Systems

Objective(s)
  • You should be able to explain the principles of any given numbering system.
    • You should be able to identify the elements of a numbering system.
    • You should be able to count up to any given number in any given numbering system.
  • You should be able to convert numbers between systems
    • You should be able to convert numbers from decimal system into any other system. (binary, hexadecimal, octal being the main focus)
    • You should be able to convert numbers from any system to decimal system. (binary, hexadecimal, octal being the main focus)

Activities / Strategies
Name
Level
Description - Instructions
Type
Handout / File
Converting decimal to other system
S
You will convert the given decimal numbers to other base number using the division method.
Individual

Converting numbers from any system to decimal
S
You will convert the given numbers from their respective numbering system into decimal using the multiplication and power method.
Individual


Level Key
H .
Higher achiever
S
Standard achiever
L
Lower achiever

Type Key
Individual .
Activity performed completely by the student himself.
Pairs
Acitivty performed in pairs to either to share, check or generate results.
Group
Activity performed in groups, strongly recommended in groups of 3 or 4 and assigned by the teacher.
Peer-Assess .
Activity that will be marked by peers. mark scheme should be provided before hand and explained.
Self Assess .
Activity that will be marked by one self. Mark scheme should be provided before hand and explained.

Assessment
Name
Description
Link / File
Mark scheme
Example











Homework

Objective
You will demonstrate your skills to learn yourself by watching videos about numeric systems.
Outcome
Hand written document with diagrams.
Instructions
You will watch the video from the link until minute 9. While watching the video solve the following questions and draw the required diagrams.
  • Describe the rules used to write a decimal number.
  • Create 3 clock counters like the ones in the video for a base 6 system.
  • Count the first 20 numbers in a base 6 system. (write them down)
  • Use fbinary clock counters, like the ones in the video, to represent number 7 in binary.
Example

Link / File
http://www.youtube.com/watch?v=5sS7w-CMHkU

Objective
You will demonstrate you can learn how to add binary numbers and solve the given exercises.
Outcome
Outline and answers to exercises.
Instructions
You will watch the video from the link until minute 9. While watching the video solve the following questions and draw the required diagrams.
  • Describe the rules used to write a decimal number.
  • Create 3 clock counters like the ones in the video for a base 6 system.
  • Count the first 20 numbers in a base 6 system. (write them down)
  • Use fbinary clock counters, like the ones in the video, to represent number 7 in binary.
Example

Link / File
http://www.youtube.com/watch?v=5sS7w-CMHkU

Objective
You will prove that you can convert any number from one numbering system into any other numbering system.
Outcome
Answer sheet with results and procedures. (written)
Instructions
You will answer all the exercises related to converting numbers.
Example

Link / File


Resources
Name
Description / Link
PPT

Different Numbering Systems
Link
Counting in Binary
Link
Binary numbers Khan Academy
Link
Decimal System explanation
Link
Numbering Systems explanation
Link

Cross- curricular linksAdd above
Subject
Description
Maths
Numbering systems.