Topics
Patterns in Mathematics
- Mathematical Patterns
- Patterns in Numbers
- Patterns in Shapes
Mathematics
Lines and Angles
Number Play
- Fundamentals of Numbers
- Supercells
- Number Line
- Working with Number Digits
- Palindromic Patterns
- Kaprekar Number
- Clock and Calendar Numbers
- Mental Math
- Patterns in Numbers
- The Collatz Conjecture
- Basic Concept of Estimation and Approximation of Numbers
Data Handling and Presentation
- Mathematical Data Collection and Organisation
- Pictographs
- Bar Graphs
- Artistic and Aesthetic Considerations
Prime Time
- Multiples and Common Multiples
- Factors and Common Factors
- Prime and Composite Numbers
- Eratosthenes’ Method of Finding Prime Numbers
- Co-prime Numbers
- Prime Factorisation
- Tests for Divisibility of Numbers
- Divisibility by 10
- Divisibility by 5
- Divisibility by 2
- Divisibility by 4
- Divisibility by 8
- Exploring Special Numbers & Logical Reasoning
Perimeter and Area
- Concept of Perimeter
- Perimeter of a Rectangle
- Perimeter of Squares
- Perimeter of Triangle
- Problems based on Perimeter
- Perimeter of a Regular Polygon
- Perimeter of an Equilateral Triangle
- Concept of Area
- Problems based on Area
- Area of a Triangle
- Exploring Shapes Through Perimeter and Area
Fractions
Playing with Constructions
- Basic Concept of Construction
- Squares and Rectangles
- Constructing Squares and Rectangles
- An Exploration in Rectangles
- Constructing Complex Figures
- Exploring Diagonals of Rectangles and Squares
- Points Equidistant from Two Given Points
Symmetry
The Other Side of Zero
- Fundamentals of Numbers
- Negative and Positive Numbers
- Tracking Movement: Using Positive and Negative Numbers
- Comparison of Integers
- Number Line
- Conversion between Addition and Subtraction
- The Token Model
- Integers in Other Places
- Explorations with Integers
- Integers
- Definition: Co-primes
- Properties of Co-Prime Numbers
- Thread Art Patterns and Co-primality
Definition
Co-prime numbers:
Two numbers with only 1 as a common factor are said to be co-prime, relatively prime, or mutually prime numbers.
For example, 10 and 21 are co-primes.
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Properties of Co-Prime numbers
- The Highest Common Factor (HCF) of two coprime numbers is always 1.
- The Least Common Multiple (LCM) of two coprime numbers is always their product.
- There should be a minimum of two numbers to form a set of coprime numbers.
- Co-prime numbers are (3, 8); (4, 9); (21, 22); (22, 23); (23, 24).
Example
What are the common factors of 4 and 15?
These two numbers have only 1 as a common factor.
Two numbers having only 1 as a common factor are called co-prime numbers.
Thus, 4 and 15 are co-prime numbers.
Example
What are the common factors of 18 and 23?
These two numbers have only 1 as a common factor.
Two numbers having only 1 as a common factor are called co-prime numbers.
The numbers 1 is the factors of both 18 and 23.
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