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MATHS COURSE BOOK - 6
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1. NUMBER WORK
1.1 Numbers - Revision
1.1.1 Natural Numbers and whole Numbers
1.1.2 Face Value and Place value
1.2.3 Expanded form
1.2 Four fundamental operations on Whole numbers
1.2.1 Addition
1.2.2 Subtraction
1.2.3 Multiplication
1.2.4 Division
1.3 Number Patterns
1.3.1 Divisors, Factors and Multiples
1.3.2 Even and Odd numbers
1.3.3 Prime and Composite numbers
1.4 Large numbers in Exponential form
1.5 Tests of divisibility - Revision
1.6 Greatest common divisor and Least common multiple
1.7 Integers
1.7.1 Directed numbers
1.7.2 Integers and order in number line
Addition and Subtraction of integers
Multiplication of integers
Division of integers
1.8 Fractions
1.8.1 Fractions - Revision
1.8.2 Addition and Subtraction on Fractions
1.8.3 Multiplication and Division on Fractions
1.9 Decimal Numbers
1.9.1 Decimal form of fractions
1.9.2 Four fundamental operations on decimals
2. EVERYDAY ARITHMETIC
2.1 Ratio and Proportion
2.1.1 Ratio Formation
2.1.2 Comparison of ratios
2.1.3 Proportion formation
2.1.4 Proportion - Applications
2.1.5 Direct variation
2.2 Percentage
2.2.1 Percentages, Fractions and Decimals - RElationship
2.2.2 Profit and Loss
2.2.3 Profit and Loss Percentage
2.3 Shopping
2.3.1 Verification of bill amount
2.3.2 Preparation of a bill
2.4 Finance
2.4.1 Simple Interest ( Unitary Method)
2.4.2 Formula for Simple Interest
3. MEASUREMENTS
3.1 Metric Measures
3.1.1 Linear Measures ( measures of length)
3.1.2 Measures of weight
3.1.3 Addition and Subtraction in metric measures
3.1.4 Addition and Subtraction in metric Measures
3.1.5 Multiplication and division in metric measures
3.1.6 Measures of Area
3.1.7 Measures of volume
3.2 Measures of Time
3.2.1 Ordinary time and Railway time; Ordinary year and Leap year
3.2.2 Calculating number of days.
3.2.3 Finding the day of the week
3.3 Area and Perimeter
3.3.1 Area and Perimeter of a square
3.3.2 Area and perimeter of a rectangle
3.3.3 Area and perimeter of a right angled triangle
3.3.4 Area of Four walls
4. ALGEBRA
4.1 Introduction
4.2 Mathematical Statements
4.3 Place holders
4.4 Literals
4.5 Constants and Variables
4.6 Power ( or Exponent or Index) of a variable
4.7 Cofficients
4.8 Terms
4.9 Addition and Subtraction of terms
5. GEOMETRY
5.1 Basic geometrical concepts
5.1.1 Point
5.1.2 Line
5.1.3 Ray
5.1.4 Line Segment
5.1.5 Plane
5.2 Relationship between points and lines
5.2.1 Concurrent lines
5.2.2 Collinear points
5.2.3 Intersecting and parallel lines
5.3 Angles
5.3.1 Angle and measure of an angle.
5.3.2 Types of angles
5.3.3 Complementary and Supplementary angles
5.3.4 Bisector of an angle
5.4 Triangles
5.4.1 Parts of a triangle
5.4.2 Types of triangle
Important properties of triangles
5.5 Special Quadrilaterals
Quadrilateral and its parts
Special type of quadrilaterals
6. PRACTICAL GEOMETRY
6.1 Geometrical instruments box
6.2 Line segment
6.3 Constructing a line segment of a given measurement
6.4 Measuring the length of a given line segment
6.5 Constructing a line perpendicular to a given line at a given point on it
6.6 Constructing the perpendicular bisector of a given line segment
6.7 Measuring angles
6.8 Constructing angles of given measures
6.8.1 Constructing 90 * and 45* using paper folding method
6.8.2 Drawing angles with the help of a protractor
6.9 Constructing the angle bisector of a given angle
6.9.1 Paper folding method
Using protractor and compass
7. HANDLING DATA
7.1 Meaning of an average (mean)
7.2 Median
7.3 Mode
7.4 Pictograph
1
7.5 Bar Graph
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