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
Notes
Making Symmetric Figures: Ink-blot Devils:
To make an ink-blot pattern-
- Take a piece of paper.
- Fold it in half.
- Spill a few drops of ink on the one-half side.
- Now press the halves together.
- It will make a symmetric pattern with the fold as the line of symmetry.
Inked-string patterns:
- Fold a paper in half.
- On one half-portion, arrange short lengths of string dipped in a variety of coloured inks or paints.
- Now press the two halves.
- It will make a symmetric inked string pattern with the fold as the line of symmetry.
