Topics
Rational Numbers
- Rational Numbers
- Closure Property of Rational Numbers
- Commutative Property of Rational Numbers
- Associative Property of Rational Numbers
- Distributive Property of Multiplication Over Addition for Rational Numbers
- Identity of Addition and Multiplication of Rational Numbers
- Negative Or Additive Inverse of Rational Numbers
- Concept of Reciprocals or Multiplicative Inverses
- Rational Numbers on a Number Line
- Rational Numbers Between Two Rational Numbers
- Multiples and Common Multiples
Linear Equations in One Variable
- Constants and Variables in Mathematics
- Equation in Mathematics
- Expressions with Variables
- Word Problems on Linear Equations
- Solving Equations Which Have Linear Expressions on One Side and Numbers on the Other Side
- Some Applications Solving Equations Which Have Linear Expressions on One Side and Numbers on the Other Side
- Solving Equations Having the Variable on Both Sides
- Some More Applications on the Basis of Solving Equations Having the Variable on Both Sides
- Reducing Equations to Simpler Form
- Equations Reducible to Linear Equations
Understanding Quadrilaterals
- Concept of Curves
- Different Types of Curves - Closed Curve, Open Curve, Simple Curve.
- Basic Concept of Polygons
- Classification of Polygons
- Properties of Quadrilateral
- Sum of Interior Angles of a Polygon
- Sum of Exterior Angles of a Polygon
- Quadrilaterals
- Properties of Trapezium
- Properties of Kite
- Properties of a Parallelogram
- Properties of Rhombus
- Property: The Opposite Sides of a Parallelogram Are of Equal Length.
- Property: The Opposite Angles of a Parallelogram Are of Equal Measure.
- Property: The adjacent angles in a parallelogram are supplementary.
- Property: The diagonals of a parallelogram bisect each other. (at the point of their intersection)
- Property: The diagonals of a rhombus are perpendicular bisectors of one another.
- Property: The Diagonals of a Rectangle Are of Equal Length.
- Properties of Rectangle
- Properties of a Square
- Property: The diagonals of a square are perpendicular bisectors of each other.
Data Handling
Practical Geometry
- Geometric Tool
- Constructing a Quadrilateral When the Lengths of Four Sides and a Diagonal Are Given
- Constructing a Quadrilateral When Two Diagonals and Three Sides Are Given
- Constructing a Quadrilateral When Two Adjacent Sides and Three Angles Are Known
- Constructing a Quadrilateral When Three Sides and Two Included Angles Are Given
- Some Special Cases
Squares and Square Roots
- Concept of Square Number
- Properties of Square Numbers
- Some More Interesting Patterns of Square Number
- Finding the Square of a Number
- Concept of Square Roots
- Finding Square Root Through Repeated Subtraction
- Finding Square Root Through Prime Factorisation
- Finding Square Root by Division Method
- Square Root of Decimal Numbers
- Estimating Square Root
Cubes and Cube Roots
Comparing Quantities
- Ratio
- Increase Or Decrease as Percent
- Concept of Discount
- Estimation in Percentages
- Basic Concepts of Profit and Loss
- Calculation of Interest
- Concept of Compound Interest
- Deducing a Formula for Compound Interest
- Rate Compounded Annually Or Half Yearly (Semi Annually)
- Applications of Compound Interest Formula
Algebraic Expressions and Identities
- Algebraic Expressions
- Terms, Factors and Coefficients of Expression
- Classification of Terms in Algebra
- Addition of Algebraic Expressions
- Subtraction of Algebraic Expressions
- Multiplication of Algebraic Expressions
- Multiplying Monomial by Monomials
- Multiplying a Monomial by a Binomial
- Multiplying a Monomial by a Trinomial
- Multiplying a Binomial by a Binomial
- Multiplying a Binomial by a Trinomial
- Concept of Identity
- Expansion of (a + b)2 = a2 + 2ab + b2
- Expansion of (a - b)2 = a2 - 2ab + b2
- Expansion of (a + b)(a - b) = a2-b2
- Expansion of (x + a)(x + b)
Mensuration
Exponents and Powers
Visualizing Solid Shapes
Direct and Inverse Proportions
Factorization
- Factors and Common Factors
- Factorising Algebraic Expressions
- Factorisation by Taking Out Common Factors
- Factorisation by Regrouping Terms
- Factorisation Using Identities
- Factors of the Form (x + a)(x + b)
- Dividing a Monomial by a Monomial
- Dividing a Polynomial by a Monomial
- Dividing a Polynomial by a Polynomial
- Concept of Find the Error
Introduction to Graphs
Playing with Numbers
Estimated time: 10 minutes
- Introduction
- Parts of a Quadrilateral
- Reading and Writing of a Quadrilateral
- Real-Life Examples
- Key Points Summary
CISCE: Class 6
Introduction
Think of a simple shape you see every day, such as a windowpane, a book cover, or a sheet of paper. What do they all have in common? They are closed figures made up of four straight sides.
A Quadrilateral is simply a four-sided closed plane figure.
CISCE: Class 6
Parts of a Quadrilateral
| No. | Particulars | Details |
|---|---|---|
| 1 | Four Sides | AB, BC, CD, and DA |
| 2 | Four Vertices (Corners) | A, B, C, and D |
| 3 | Four Angles | ∠ABC, ∠BCD, ∠CDA, and ∠DAB |
| 4 | Two Diagonals | AC and BD (lines joining opposite corners) |
| 5 | Four Pairs of Adjacent (Next-to-Each-Other) Sides | AB & BC, BC & CD, CD & DA, DA & AB |
| 6 | Two Pairs of Opposite Sides | AB & CD, BC & DA |
Maharashtra State Board: Class 6
Reading and Writing of a Quadrilateral
- A quadrilateral has four sides and four corners (vertices).
- You can start at any vertex and move around the shape to name it.
- You can move clockwise (like a clock) or anti-clockwise (opposite of a clock).
- While writing the name, use the symbol "□" instead of writing the full word “quadrilateral”.
| Clockwise | Anti-clockwise | ||
| Reading | Writing | Reading | Writing |
| Quadrilateral ADCB | □ ADCB | Quadrilateral BCDA | □ BCDA |
| Quadrilateral DCBA | □ DCBA | Quadrilateral CDAB | □ CDAB |
| Quadrilateral CBAD | □ CBAD | Quadrilateral DABC | □ DABC |
| Quadrilateral BADC | □ BADC | Quadrilateral ABCD | □ ABCD |
CISCE: Class 6
Real-Life Examples
-
Doors and windows: rectangles for functional fit
-
Books and notebooks: rectangular pages
-
Dining tables: rectangles, squares, or occasionally kite-shaped
-
Tiles and flooring: squares or rectangles
CISCE: Class 6
Key Points Summary
- A quadrilateral has exactly 4 sides, 4 vertices, 4 angles, and 2 diagonals.
- Adjacent sides share a vertex; opposite sides do not.
- Adjacent angles share a side; opposite angles do not.
Test Yourself
Shaalaa.com | Quadrilateral
to track your progress
