Mathematics VII

MATHEMATICS
Integers
7 Topics
Introduction and Recall
Properties of Addition and Subtraction of Integers
Multiplication of Integers
Properties of multiplication of integers
Making Multiplication Easier
Division of Integers
Properties of division of integers
Fractions and Decimals
8 Topics
Recalling Fractions
Multiplication of Fractions
Division of Fractions
Recalling decimal numbers
Multiplication of Decimal Numbers by 10, 100 and 1000
Multiplication of Decimal Numbers by whole number and by another decimal number
Division of decimal numbers by 10, 100 and 1000
Division of a decimal number by whole number and by another decimal number
Data Handling
 7 Topics
Introduction to Data Handling
Representative values and arithmetic mean
Mode
Median
Introduction to Bar Graphs
Drawing double bar graph
Chance and Probability
Simple Equations
 5 Topics
Introduction to Simple Equations
What equation is?
Transpose method for solving equations
From solution to equation
Applications of Simple Equations to Practical Situations
Lines and Angles
 5 Topics
Introduction to Lines and Angles
Related Angles
Linear Pair and Vertically Opposite Angles
Pairs of Lines
Properties of parallel lines
The Triangles and Its Properties
 9 Topics
Introduction to Triangles
Medians of a triangle
Altitudes of a Triangle
Exterior angle of a triangle and its property
Angle sum property of a triangle
Two special triangles : Equilateral and Isosceles
Sum of the lengths of two sides of a triangle
Right-angled triangles and Pythagoras property
Proof of Pythagoras Theorem
Congruence of Triangles
 7 Topics
Introduction to congruence of triangles
The congruence of line segments and angles
Congruence of triangles
SSS Congruence criterion
SAS Congruence criterion
ASA Congruence criterion
Congruence among right-angled triangles
Comparing Quantities
 12 Topics
Introduction to Comparing Quantities
Equivalent Ratios
Meaning of percentage
Converting Fractional Numbers to Percentage
Converting decimals to percentage
Converting Percentages to Fractions or Decimals
Parts always add to give a whole
Use of percentages in real life
Ratios to Percents
Increase or Decrease as Percent
Profit or Loss as a Percentage
Charge Given on Borrowed Money or Simple Interest
Rational Numbers
 18 Topics
Rational Numbers
What are Rational Numbers?
Equivalent rational numbers
Positive and Negative Rational Numbers
Rational numbers on a number line
Rational numbers in standard form
Comparison of Rational Numbers
Rational Numbers between Two Rational Numbers – I
Rational Numbers between Two Rational Numbers – II
Addition of Rational Numbers
Additive Inverse of Rational Numbers
Subtraction of rational numbers
Multiplication of Rational Numbers
Reciprocal of Rational Numbers
Division of Rational Numbers
Word Problems-I
Word Problems-II
Word Problems-III
Practical Geometry
 5 Topics
Construction of a line parallel to a given line, through a point not on the line
Constructing a triangle when the lengths of its three sides are known (SSS criterion)
Constructing a triangle (SAS criterion)
“Constructing a triangle (ASA criterion) “
Constructing a triangle (RHS criterion)
Perimeter and Area
 10 Topics
Introduction to Perimeter and Area
Squares and Rectangles
Triangles as Parts of Rectangles
Generalising for other Congruent Parts of Rectangles
Area of a parallelogram
Area of a triangle
Circumference of a Circle
Area of Circle
Conversion of Units
Applications
Algebraic Expressions
 20 Topics
How are expressions formed?
Terms of an expression
Factors of a term
Coefficients
Like and Unlike Terms
Monomials, Binomials, Trinomials and Polynomials
Adding like terms
Subtracting like terms
Adding general algebraic expressions
Subtracting general algebraic expressions
Problem related to addition and subtraction of algebraic expressions
Problem related to addition and subtraction of algebraic expressions-II
Problem related to addition and subtraction of algebraic expressions-III
Finding the value of an expression
Finding the value of an expression: Examples-I
Finding the value of an expression: Examples-II
Using Algebraic Expressions in Formulas
Using Algebraic Expressions in Writing Rules
Some number patterns
Pattern in geometry
Exponents and Powers
 16 Topics
Introduction to Exponents and Powers
Concepts of exponents-I
Concepts of exponents-II
Concepts of exponents-III
Concepts of exponents-IV
Concepts of exponents-V
Concepts of exponents-VI
Multiplying Powers with the Same Base
Dividing Powers with the Same Base
Taking Power of a Power
Multiplying Powers with the Same Exponents
Dividing Powers with the Same Exponents
Numbers with exponent zero
Examples using the Laws of exponents
Decimal number system
Expressing large numbers in the standard form
Symmetry
 5 Topics
Introduction to Symmetry
Lines of symmetry for regular polygons
Line of symmetry and mirror reflection
Rotational Symmetry
Line Symmetry and Rotational Symmetry
Visualising Solid Shapes
 6 Topics
Introduction: Plane Figures and Solid Shapes
Faces, Edges and Vertices
Nets for Building 3-D Shapes
Oblique Sketches
Isometric Sketches
Views of an object
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Fractions and Decimals

Mathematics VII Fractions and Decimals

In this chapter we will learn about Multiplication of fractions, Reciprocal of a fraction, Division of fractions.

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