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Mathematical Logic, Cryptography, and Algorithmic Thinking

Survival English for Real Life in the UK

About Course

This interdisciplinary course merges essential Key Stage 2 and early Key Stage 3 mathematical principles with the engaging fields of cryptography and foundational computational logic. Students will utilise magnetic number grids, symbolic tiles, and interactive digital tools to explore encryption, decryption, logical puzzles, and the mathematical structures underpinning these concepts. The course aims to develop analytical reasoning and problem-solving skills.

What I will Gain?

  • Advanced Arithmetic Proficiency
  • Consolidate and extend fluency in all four arithmetic operations, including with larger integers and decimals
  • Number Theory Essentials
  • Understand and apply concepts of factors, multiples, prime numbers, and their role in cryptography and problem-solving
  • Sequences, Patterns, and Early Algebra
  • Identify, analyse, and generate numerical and spatial sequences; introduce algebraic notation and representation (KS3 focus)
  • Fundamentals of Algebraic Reasoning
  • Introduction to variables, algebraic expressions, and the solution of simple linear equations
  • Systematic Logical Deduction
  • Enhance structured thinking and deductive reasoning skills through cryptographic challenges and logic puzzles
  • Introduction to Binary Systems
  • Develop a basic understanding of the binary number system as a foundation for computing

Material Includes

  • Magnetic grid board for coordinate plotting and cryptographic analysis
  • Sets of magnetic alphanumeric and symbolic tiles
  • Caesar cipher wheel construction template (for magnetic application)
  • Printable and digital worksheets featuring cryptographic puzzles and logical problems (key terminology supported bilingually)
  • Access to selected online platforms for coding logic and critical thinking exercises
  • Introduction to block-based programming paradigms

Ready To Apply Your Course

FAQ

No, this course introduces fundamental logical constructs relevant to coding; no pre-existing coding knowledge is assumed.
The curriculum emphasises core areas such as number operations, algebraic thinking (sequences and early variable use), ratio, and problem-solving, all of which are central to this course.
Students will be introduced to classical ciphers, such as substitution ciphers (e.g., Caesar cipher), and will explore pattern recognition relevant to cryptographic principles.
The course integrates hands-on activities using magnetic resources for conceptual exploration, complemented by online tools for practice and simulation.
The development of robust problem-solving skills, logical reasoning, and enhanced number sense are directly transferable and beneficial for success in mathematics examinations.

What I will learn?

  • Advanced Arithmetic Proficiency
  • Consolidate and extend fluency in all four arithmetic operations, including with larger integers and decimals
  • Number Theory Essentials
  • Understand and apply concepts of factors, multiples, prime numbers, and their role in cryptography and problem-solving
  • Sequences, Patterns, and Early Algebra
  • Identify, analyse, and generate numerical and spatial sequences; introduce algebraic notation and representation (KS3 focus)
  • Fundamentals of Algebraic Reasoning
  • Introduction to variables, algebraic expressions, and the solution of simple linear equations
  • Systematic Logical Deduction
  • Enhance structured thinking and deductive reasoning skills through cryptographic challenges and logic puzzles
  • Introduction to Binary Systems
  • Develop a basic understanding of the binary number system as a foundation for computing

Course Curriculum

Module 1
Advanced Numerical Operations: Mastery of multiplication/division facts, order of operations (BIDMAS/PEDMAS).

Module 2
Principles of Cryptography: Introduction to basic ciphers (Caesar, Atbash) and frequency analysis.

Module 3
Number Theory Applications: Prime numbers, prime factorisation, highest common factor (HCF), lowest common multiple (LCM).

Module 4
Decimal Operations and Applications: Fluency with decimal arithmetic in contextualised problems.

Module 5
Algorithmic Processes and Pattern Recognition: Analysing and generating sequences, understanding input-process-output models.

Module 6
Foundations of Binary Code: Introduction to base-2 number system and its significance in digital systems.

Module 7
Introduction to Algebraic Representation: Using letters for unknowns, forming and simplifying basic expressions.

Module 8
Coordinate Systems in Cryptography: Utilising Cartesian coordinates for encoding and decoding messages.

Module 9
Advanced Logic Puzzles and Deductive Reasoning: Grid puzzles, Sudoku variations, and logical deduction exercises.

Module 10
Integrated Cryptographic Challenge (Project): A summative project involving multi-step code-breaking and logical problem-solving.

Fee Structuren

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Course Certificaten

Course Instructor

Hafez-E-Quran

Honu2019s- Al-Quran & Islamic Studies

Islamic University

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*Initial one-to-one consultation, Health & Fitness Assasments Bespoke training program planing, Custom Nutrition plan & recipes. Weekly Progress Reviews

*Initial one-to-one consultation, Health & Fitness Assasments Bespoke training program planing, Custom Nutrition plan & recipes. Weekly Progress Reviews

*Initial one-to-one consultation, Health & Fitness Assasments Bespoke training program planing, Custom Nutrition plan & recipes. Weekly Progress Reviews

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