ATHE Level 3 Diploma in Introduction to Computing Mathematics(Unit F/618/4174) Assignment Brief

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ATHE L3 Introduction To Computing Mathematics Assignment Brief

Unit Aims

This units aims to provide an overview of the mathematical skills required for computer programming. Learners will develop knowledge and understanding in the areas of mathematics that are used when working with a computing programming language.

Assignment Task

You work as a software developer in an ICT Development company. You have been asked to be a mentor for a new apprentice joining the organisation. You will share your knowledge of computing with the new staff member allowing them to develop their skills.

The apprentice will be working in the software development team and needs to have a sound knowledge in computing mathematics in order to assist and understand a range of software development projects.

Your manager has asked that you share your knowledge of computing mathematics with the apprentice producing materials and helping assist with problem solving techniques.

Task 1 – Create A Presentation    

You must produce a presentation using presentation software to show your understanding of mathematics in computing. The presentation will be delivered to the new apprentice who has joined the team.

The presentation should:

• explain how mathematics is used for computing
• describe the types of mathematics used for computer programming
• describe approaches to problem solving
• explain the terms variable, constant, casual factor paths
• explain the use of addition, subtraction, multiplication and division within formulas
• explain the functions and equations used for calculations
• describe how mathematical logic is used for computing
• explain how Boolean logic is used
• explain the logic gates used in calculations
• describe arithmetic and relational operators
• describe the use of truth tables
• explain probability theory and concepts
• explain probability formulas used for computing
• explain how binary is used in computing
• explain how hexadecimal numbers are used

Extension activities: 

To gain a merit grade you must also:

• assess the benefits of mathematics in computing
• analyse the difference between binary, decimal and hexadecimal numbers

To gain a distinction grade you must also:

• evaluate the importance of understanding mathematics for computing

LO1 AC 1.1, 1.2, 1M1, 1D1

LO2 AC 2.1, 2.2

LO3 AC 3.1, 3.2

LO4 4.1, 4.2, 4.3, 4.4, 4.5

LO5 5.1, 5.2

LO6 6.1, 6.3, 6M1

Task 2 – Mathematical Calculations   

You manager has tasked you with showing the apprentice how to perform a range of calculations and activities. 

1. Your organisation has seen a decrease in sales in the last 12 months but has had an increase in the number of staff joining the organisation. Carry out a root cause analysis showing your calculations
2. Provide examples of using problem solving techniques to solve a range of computing problems.
3. Provide examples of use of algebra to solve computing equations.

Extension activities: 

To gain a merit grade you must also, in a separate document:

• assess how constants and variables affect data statistics

LO2 AC 2.3, 2M1

LO3 AC 3.3  

Task 3 – Logic And Probability Calculations    

Your manager has asked you to perform the following:

1. Provide examples of the performance of simple calculations with the application of logical expressions.
2. Calculate the probability of the following event’s occurring using mathematics:
   • tossing a coin and it landing on heads
   • tossing a coin and it landing on tails
   • rolling a ‘3’ on a die
   • rolling a number > 4 on a die
   • it rains two days in a row
   • drawing a card from the suit of clubs
   • guessing a certain number between 000 and 999 (lottery)

3. Provide examples of converting decimal numbers into binary numbers

Extension activities: 

To gain a merit grade you must also:

• Provide examples on the use of mathematical logic techniques to make informed decisions based on data analysis

To gain a distinction grade you must also:

• use truth tables to solve Boolean statements
• provide examples of converting hexadecimal numbers to binary numbers

LO4 AC 4.6, 4M1, 4D1

LO5 AC 5.3

LO6 AC 6D1

For all practical examples, you are free to use data of your own choice. For any calculations, you should show your workings and / or explain how you have prepared final figures.

Learning Outcomes And Assessment Criteria