# ICSE VI MATHEMATICS COURSE

## Course Description :

The class 6 Mathematics syllabus initiates the learning of abstract numbers like integers, rational numbers, and the set of real numbers as a whole. Students are taught operations on these numbers, their properties, and their correlation with each other. A foundation of commercial Mathematics is established in class 6 to be built upon in the higher classes. Basics of mensuration and algebra, deal with basic shapes and generalisation patterns using variables and constants. Geometry covers a host of topics to increase spatial learning and Data Handling reveals the importance of data collection and the various ways of organising it to allow a reader to extract meaningful information from it. Some topics done in class 6 are extensions of those done in the primary classes but a majority of them are new, as these are the bases for the topics to be covered in the secondary classes.

### Theme 1: Numbers and Numeration

• Indian System Of Numeration
• International System of Numeration

### Theme 2: Number Operations

• Addition and Subtraction of Large Numbers
• Multiplication and Division of Large Numbers
• Number Operations : Workout
• Estimations and Rounding

### Theme 3: Natural Numbers and Whole Numbers

• Introduction to Whole Numbers
• Properties of Operations on Whole numbers : Part 1
• Properties of Operations on Whole numbers : Part 2
• Patterns in Whole Numbers

### Theme 4: Integers

• Integers : Introduction and representation on a number line
• Comparing and Ordering Integers
• Subtracting Integers
• Addition and Subtraction of Integers: Workout

### Theme 5: Sets

• Idea of a set
• Representation of a set
• Representation of a set: Work out
• Types of sets
• Sets : Workout

### Theme 6: Fractions

• Fractions - Fundamentals
• Types of Fractions
• Equivalent Fraction
• Comparing Fractions
• Addition of Fractions
• Subtraction of Fractions
• Multiplication of fraction - 1
• Multiplication of fraction - 2
• Addition of Fraction-division of Fractions
• Operation on Fractions : Work Out

### Theme 7: Decimals

• Decimals - Recap
• Comparison of decimals
• Using decimals to convert units
• Adding Decimals : In the real world
• Subtracting Decimals : In the real world

### Theme 8: Playing with numbers

• Order of operations
• Factors and Multiples of a number
• Prime and Composite numbers
• Divisibility Test : 2,3,4,5,6,8,9,10,11
• LCM and HCF of numbers by observation
• LCM and HCF of numbers by prime Factorisation
• LCM and HCF of numbers by long divsion
• Application of LCM and HCF: In the real World

### Theme 9: Ratio and Proprtion

• Concept of Ratio
• Proportion as equality of two ratios
• Unitary Method

### Theme 10: Speed , Distance and Time

• Speed , distance and Time

### Theme 11: Percentage

• Introduction to percentages
• Interpreting Percentage

### Theme 12: Algebraic Expressions

• Introduction to basics of algebra
• Algebraic Expressions
• Writing algebraic expressions
• Comparing Fractions
• Algebraic Expressions - Work out

### Theme 13: Linear Equation

• Introduction of equations
• Solving linear equations : Workout
• Setting up an equation
• Solving an equation by balancing

### Theme 14: Basics of 2-D Geometry

• Point, line, line-segment, ray
• Vertex, arm, interior and exterior of an angle
• Measure of angles and type of angles
• Open and closed figures/circles
• Triangles : Naming and Classification
• Quadrilaterals : Naming and classification

### Theme 15: 3-D Geometry

• Identifying 3-D shapes
• Elements of 3-D figures - Faces, Edges and vertices
• Nets of 3D shaped

### Theme 16: Symmetry

• Symmetrical Figures and lines of symmetry
• Reflection using symmetry

### Theme 17: Practical Geometry

• Constructing linesegment/circle
• Constructing perpendicular/ perpendicular bisectors to a given line segment
• Constructing angles and angle bisector
• Constructing angles using scale and compass: 60,120, 180, 30 degrees
• Constructing angles using scale and compass: 90,45,150 degrees

### Theme 18: Perimeter and Area

• Perimeter of a rectangle and a square
• Concept of area, area of a rectangle and a square
• Application : Area of square and rectangles
• Application : Area and perimeter of square and rectangles

### Key features of Our Online Tuition

The Edugraff principle of ‘One Teacher One Student’ is the biggest asset a student has as this gives him his personal tutor and has the complete attention of his teacher. Each teacher maintains a record of all classes conducted, topics covered, home assignments given, and tests conducted. This ensures a seamless teaching-learning experience.

### Why Edugraff for Online Tutoring of Mathematics?

All Edugraff teachers are qualified and are competent to teach according to the teaching patterns of ICSE. Online Tuition for Grade 6 Mathematics (ICSE) by Edugraff is helpful for students to grasp the concepts easily. Their familiarity with exam patterns familiarises the students with the same. Flexible time schedules and rescheduling facilities ensure no sessions are missed. An easy-to-use feedback system gives the technical back support team all the information to keep upgrading and improving their teaching systems.

### Skills that our students learn

The use of various online tools like the whiteboard and additional videos available on personalised student pages facilitate an in-depth understanding of patterns, shapes, set theory of numbers, areas, and perimeter of 2D shapes, spatial understanding of 3D shapes, quick computational skills, and their application on problems involving money, measurement, speed, time and distance.

## FAQ :

1. How can I score better in Mathematics?

The surest way to improve your Mathematics skills is to practice daily. All concepts done in class must be revised so that any problems can be discussed and clarified immediately.
2. Where can I access extra practice questions for the topics I study?

Edugraff teachers are always ready to provide supplementary worksheets for as much practice as you need.

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