Topics
Number System
Sets
Number System(Consolidating the Sense of Numberness)
Estimation
Numbers in India and International System (With Comparison)
Place Value
Natural Numbers and Whole Numbers (Including Patterns)
Negative Numbers and Integers
 Concept of Negative Numbers
 Need for Negative Numbers
 Connection of Negative Numbers in Daily Life
 Representation of Negative Numbers on Number Line
 Ordering of Negative Numbers, Integers.
 Representation of Integers on the Number Line
 Operation of Addition and Subtraction of Integers
 Addition of Integers
 Comparison of Integers
 Concept for Ordering of Integers
Number Line
HCF and LCM
Playing with Numbers
Ratio and Proportion
Ratio
Proportion (Including Word Problems)
Unitary Method
Fractions
 Concept of Fractions
 Concept of Fraction as a Part of Whole
 Representation of Fractions (Pictorially and on Number Line).
 Concept for Fraction as a Division.
 Concept of Proper Fractions.
 Concept for Equivalent Fractions
 Concept of Fractions
 Operations on Fractions (Avoid Large and Complicated Unnecessary Tasks). (Moving Towards Abstraction in Fractions).
Decimal Fractions
Percent (Percentage)
Idea of Speed, Distance and Time
Algebra
Fundamental Concepts
Fundamental Operations (Related to Algebraic Expressions)
Substitution (Including Use of Brackets as Grouping Symbols)
Framing Algebraic Expressions (Including Evaluation)
Simple (Linear) Equations (Including Word Problems)
Geometry
Fundamental Concepts
 Concepts of Fundamental (Geometry)
 Concept for Basic Geometrical Ideas (2 d)
 Concept for Linkage with and Reflection in Everyday Experiences.
 Concept of Line
 Concept for Open and Closed Figures.
 Concept for Interior and Exterior of Closed Figures.
 Curvilinear and Linear Boundaries
 Concept of Angle  Arms, Vertex, Interior and Exterior Region
Angles (With Their Types)
Properties of Angles and Lines (Including Parallel Lines)
Triangles (Including Types, Properties and Constructions)
Quadrilateral
Polygons
The Circle
Revision Exercise Symmetry (Including Constructions on Symmetry)
 Concept of Revision Exercise Symmetry (Including Constructions on Symmetry)
 Concept of Reflection Symmetry
 Concept of Observation and Identification of 2d Symmetrical Objects for Reflection Symmetry.
 Operation of Reflection (Taking Mirror Images) of Simple 2d Objects
 Recognising Reflection Symmetry (Identifying Axes).
Recognition of Solids
 Concept of Recognition of Solids
 Identification of 3d Shapes: Cubes, Cuboids, Cylinder, Sphere, Cone, Prism (Triangular and Square), Pyramid (Triangular and Square)
 Identification and Locating in the Surroundings.
 Faces, Edges and Vertices
 Nets for Building 3d Shapes  Cube, Cuboids, Cylinders, Cones, Pyramid, and Prism
 Faces, Edges and Vertices
Mensuration
Perimeter and Area of Plane Figures
 Concept of Perimeter
 Concept of Perimeter
 Shapes of Different Kinds with the Same Perimeter.
 Concept of Area
 Conversion of Units (Mass, Time, Money, and Capacity) from to Smaller to Larger and Viceversa
 Counter Examples to Different Misconcepts Related to Perimeter and Area.
 Perimeter of a Rectangle
 Deducing the Formula of the Perimeter for a Rectangle and Then a Square Through Pattern and Generalisation.
Data Handling
Data Handling (Including Pictograph and Bar Graph)
Mean and Median
definition
Pictograph: A pictograph represents data through pictures of objects.
notes
Pictograph:

Sometimes, data is represented graphically to give a clear idea of what it represents.

Pictorial representation of data using symbols. The picture visually helps you to understand the data. It is a pictograph.

A pictograph represents data through pictures of objects.

It helps answer the questions on the data at a glance.

For example,
Shaalaa.com  What Is Pictograph
Related QuestionsVIEW ALL [9]
The following pictograph shows the number of watches manufactured by a factory, in a particular weeks.
Day  Number of watches 
Monday  
Tuesday  
Wednesday  
Thursday  
Friday  
Saturday 
Scale: = 100 watches
Find on which day was the least number of watches manufactured?
The following pictograph shows the number of watches manufactured by a factory, in a particular weeks.
Day  Number of watches 
Monday  
Tuesday  
Wednesday  
Thursday  
Friday  
Saturday 
Scale: = 100 watches
Find the total number of watches manufactured in the whole week?
The sale of vehicles, in a particular city, during the first six months of the year 2016 is shown below:
Month  Jan  Feb  March  April  May  June 
Number of vehicles sold  3000  2500  4000  1000  1500  3500 
Draw a pictograph to represent the above data.
The following pictograph shows the number of cars sold by four dealers A, B, C and D in a city. Scale: = 50 cars.
Dealer  Number of cars 
A  
B  
C  
D 
Using the pictograph, drawn above, answer the following questions:
How many more cars have dealer A sold as compared to dealer D?
The following pictograph shows the number of cars sold by four dealers A, B, C and D in a city. Scale: = 50 cars.
Dealer  Number of cars 
A  
B  
C  
D 
Using the pictograph, drawn above, answer the following questions:
What is the total number of cars sold by all the dealers?
The number of animals in five villages are as follows:
Village  A  B  C  D  E 
No. of. animals  160  240  180  80  120 
Prepare a pictograph of these animals using one symbol to represent 20 animals.
The following pictograph shows different subject books which are kept in a school library.
Subject  Number of books 
Hindi  
English  
Math  
Science  
History 
Taking symbol of one book = 50 books, find:
How many History books are there in the library?
The following pictograph shows different subject books which are kept in a school library.
Subject  Number of books 
Hindi  
English  
Math  
Science  
History 
Taking symbol of one book = 50 books, find:
How many Science books are there in the library?