# Class 6 Maths

Class 6 maths advances a child’s understanding of concrete concepts to abstract notions. Class 6 is the upper primary stage where students begin to understand and apply the mathematical language of symbols and equations. It focuses on implementing a profound knowledge for working with advanced concepts by learning various methods, formulas and theorems. Therefore, it is necessary for students to have a detailed understanding of each topic covered in the class 6 maths syllabus.

## Class 6 Maths Syllabus

Class 6 Maths syllabus is proficient in facilitating reasoning and analytical skills in students. Class 6 Maths syllabus comprises topics related to complex numbers, numbers, addition, subtraction, and more. Some of the key skills to develop in Class 6 maths are based on the following topics:

**Number System**

Strengthening number sense: Working with numbers up to 5 digits, Size, estimation of numbers, identifying smaller, larger, etc. Place value (recapitulation and extension), connectives: use of symbols =, <, > and use of brackets, word problems on number operations involving large numbers up to a maximum of 5 digits in the answer after all operations. This would include conversions of units of length & mass (from the larger to the smaller units), estimation of outcome of number operations. Introduction to a sense of the largeness of, and initial familiarity with, large numbers up to 8 digits and approximation of large numbers)

**Arithmetic**

Multiplication and division of integers (through patterns).

Division by zero is meaningless

Properties of integers (including identities for addition & multiplication, commutative, associative, distributive) (through patterns). These would include examples from whole numbers as well. Involve expressing commutative and associative properties in a general form. Construction of counter-examples, including some by children. Counter examples like subtraction is not commutative.

**Geometry**

The topic of geometry in Class 6 maths is based on basic two and three-dimensional shapes. It aims to impart a fundamental understanding of necessary 2-D and 3-D shapes including cuboid, cylinder, cone, sphere and so on. This topic primarily involves:

- I) Observing and identifying objects in the surrounding area to learn about their geometrical attributes.
- II) Identifying various shapes by their names.

III) Tracing two-dimensional outline of three-dimensional objects. Recognizing two-dimensional shapes by their names and describing the properties of these 2-D shapes.

- IV) Drawing slanting, vertical and horizontal lines. Distinguishing between straight and curved lines. Identifying objects by observing their shadows.

**Ratio and Proportion**

Understanding the concept of ratio and proportion, Proportion as equality of two ratios

Unitary method (with only direct variation implied), Word problems based on ratios and proportions.

**Introduction to Algebra**

Introduction to a variable through patterns and through appropriate word problems and generalizations. Generate such patterns with more examples.

Introduction to unknowns through examples with simple contexts (single operations).

**Mensuration**

- Introduction to the concept of area and perimeter.
- Introduction and a general understanding of perimeter using many shapes. Shapes of different kinds with the same perimeter.
- Concept of area, Area of a rectangle and a square Counter examples to different misconcepts related to perimeter and area.
- Perimeter of a rectangle – and its special case – a square.
- Deducing the formula of the perimeter for a rectangle and then a square through pattern and generalization.

**Data Handling**

Understanding what is data, Choosing data to examine a hypothesis?

Collecting and organizing data.

Pictograph- Need for scaling in pictographs interpretation & construction.

Making bar graphs for given data interpreting bar graphs.

**Patterns:** Describing sequences of patterns present in shapes around them.

## Developing Class 6 Maths Skills

Class 6 maths is the upper primary stage of academics where students must thoroughly surmise the concepts related to factors, exponents, multiples, fractions, numbers up to 10-digits, percentage, ratio, proportion, and unitary method, Addition and Subtraction of Algebraic Expressions, Addition and Subtraction of Integers, Algebraic Expressions, Integers, Bar Graphs, Line Graphs, Construction and more. Let us have a look at some of these key topics and ways to develop the core concepts through application and visualization.

**Number System**

Students in class 6 continue to advance their basic knowledge of numbers by memeorizig new concepts of the number system that are related to the integers and their properties. Along with this students also enhance their maths skill learned in the previous grades, such as fractions and decimals.

**Geometry**

In class 6 maths, students extend the understanding of geometry by learning about elementary shapes, in addition to this students also learn to use geometry tools like compass, ruler and others to build various figures.

**Understanding Decimals and Fractions**

Decimals and fractions are an important topic in class 6 maths. Students must gain a precise understanding of this important concept through practical examples and pictorial representation of routine tasks like calculating money, bill amount, or any other proportions. For example, using pizza or cake to understand decimal concepts by dividing it into two half portions. Using these simple examples makes the topic relatable and exciting for kids. By learning about the applications of decimals in different fields, students can quickly develop their interest in this topic.

**Data Handling**

One significant step in the learning journey of 6th class maths for students is about learning new techniques of data handling and analysis such as histogram, pictograph, and box-plots, etc. Students must learn how to analyze, interpret and represent data.

## Class 6 Maths Tips and Tricks

**Solve Interactive Worksheets**

Strengthening basic Class 6 maths skills requires reinforcement of concepts. Parents can promote hands-on practice of these skills through interactive worksheets. Interactive worksheets offer visualization of concepts which is highly useful in comprehensive learning. The engaging format of interactive worksheets is also appropriate for improving math interest in children.

**Incorporate Fun in Learning**

Some of the valuable math learning ways are playing math games, fun activities, solving puzzles, flashcards or using math props. With the help of these simple learning aids, kids tend to grasp the concepts faster and easier.

visual curriculum