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MATHEMATICS COURSE BOOK -7
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1. NUMBER WORK
1.1 Integers - Revision
1.1.1 Integers and order in integers
1.1.2 Four fundamental operations on integers
1.1.3 Use of brackets and simplification
1.2 Rational Numbers
1.2.1 Fractions and their properties - Revision
1.2.2 Rational Numbers
1.2.3 Comparison of rational numbers
1.2.4 Four fundamental operations on rational numbers
1.3 Square roots and cube roots
1.3.1 Square roots of perfect square numbers
1.3.2 Cube roots of perfect cube numbers
1.4 Approximations
1.4.1 Rounding of the numbers
1.4.2 Significant Digits
2.EVERYDAY ARITHMETIC
2.1 Variation
2.1.1 Direct variation - Revision
2.1.2 Inverse variation
2.2 Percentages
2.2.1 Percentage - Revision
2.2.2 Commission
2.2.3 Discount
2.2.4 Sales tax
2.3 Finance
2.3.1 Simple Interest
2.3.2 Recurring Deposits
3. MEASUREMENTS
3.1 Planning
3.1.1 Necessity of Planning
3.1.2 Railway Time - table
3.1.3 Bus Time - table
3.2 Area and Perimeter
3.2.1 Revision
3.2.2 Area of a Triangle
3.2.3 Area of a Parallelogram
3.2.4 Area of a Rhombus
3.2.5 Area of a Trapezium
3.2.6 Perimeter and area of Circles and Sectors
3.2.7 Area of Pathways
3.3 Volumes
3.3.1 Cuboid
3.3.2 Cube
4. ALGEBRA
4.1 Revision
4.2 Polynomial expression
4.2.1 Arithmetic expression
4.2.2 Algebraic expression
4.2.3 Polynomial expression
4.2.4 Types of polynomials
4.2.5 Degree of a polynomial in one variable
4.2.6 Standard form of a polynomial
4.3 Operations and polynomials
4.3.1 Addition of polynomials
4.3.2 Subtaction of polynomials
4.3.3 Multiplication of monomials
4.4 Finding the value of an expression
4.5 Equations
4.5.1 Simple equations
4.5.2 Framing simple equations
4.5.3 Solving simple equations
5.GEOMETRY
5.1 Symmetry
5.1.1 Line of symmetry
5.1.2 Mirror symmetry
5.1.3 Rotational symmetry
5.2 Tessellations
5.3 Transformations
5.3.1 Translation
5.3.2 Rotation
5.3.3 Reflection
5.3.4 Glide reflection
5.4 Lines
5.4.1 Angles in intersecting lines
5.4.2 Adjacent angles on a line
5.4.3 Parallel Lines
5.4.4 Transversal
5.5 Triangles
5.5.1 Sum of the angles of a triangle
6. PRACTICAL GEOMETRY
6.1 Parallel Lines
6.1.1 Construction of a line parallel to given line through a point outside the given line using setsquares
6.2 Construction of triangles
6.2.1 Introduction
6.2.2 To Construct a triangle when three sides are given
6.2.3 To construct an equilateral triangle
6.2.4 Right triangle
6.2.5 To construct a right triangle given the hypotenuse and one side
6.2.6 To construct a right triangle given two sides
6.2.7 To construct a triangle when two sides and one side angle are given
6.2.8 To construct a triangle when two angles and one side are given
6.3 Division of a line segment
6.3.1 To divide a given line segment into equal parts
6.3.2 To divide a given line segment in a given ratio
6.4 Similarity
6.4.1 Enlargement
6.4.2 To enlarge a given triangle in the ratio 1:K where K is a natural number
6.4.3 To enlarge the given triangle by taking a point inside the triangle as the centre of similitude
7.HANDLING DATA
7.1 Data
7.1.1 Raw Data
7.1.2 Grouped data
7.1.3 Classification and tabulation of data
7.2 Frequency Distribution
7.2.1 Frequency table
7.2.2 Frequency table for an ungrouped data
7.2.3 Frequency table for a grouped data
7.3 Diagrammatic and graphic representation of a frequency distribution
7.2.1 Histogram
7.2.1 Frequency table for an ungrouped data
7.2.3 Frequency table for a grouped data
7.4 Travel graphs
7.4.1 Graph paper
7.4.2 To plot a given point on a graph paper
7.4.3 Line joining two given points
7.4.4 Linear graphs
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