# India/Knowledge Base/Maths/Fractions and Decimals

### Standards

Here are some standards, objectives etc for use as reference. You can click on any of the objctives to create a lesson plan out of it.
Std 2.14 They understand using concrete material and pictures- the meaning of fraction as part of a whole or of a collection where whole or collection is divided into equal parts. They recognize and name the following fractions of a whole or a small set of objects - half, one-third, one fourth etc. and two-third, three-fourth using concrete objects and pictures. They know their symbolical representation and the terms numerator and denominator. They compare and order these fractions using concrete objects and pictures. They are explained the representation of these fractions on a number line. They understand concretely, pictorially that when all fractional parts are included such as two halves or four one-fourths, the result is the whole or the complete set.

### Standards

Here are some standards, objectives etc for use as reference. You can click on any of the objctives to create a lesson plan out of it.
Std 3.14 They understand the meaning and concept of fractions as part of a whole or a collection where the whole or collection is divided into equal parts using concrete objects and pictures. They understand naming and notation of fractions and know the terms- numerator and denominator.

Std 3.17 They understand the relative sizes of unit fractions (1 or 2 to 1 or 12) and other simple fractions (2 or 3, ¾) using one long object (e.g. sugarcane), a collection of say 12 objects or their pictures. They are explained the representation of these fractions on a number line

Std 3.20 They thus understand that decimals are fractions and know decimal and fraction equivalents of tenth, hundredth etc /]]

### Standards

Here are some standards, objectives etc for use as reference. You can click on any of the objctives to create a lesson plan out of it.
Std 4.12 They understand the meaning of proper/improper fractions and mixed numbers concretely, pictorially and symbolically. They convert improper fractions to mixed numbers and vice-versa and understand their equivalence.

Std 4.14 Using LCM, they are also able to compare unlike fractions with denominators less than 12 or 20 (for the sake of simplicity) and add/subtract them. They compare or add/subtract mixed numbers by comparing or adding/subtracting whole parts and then fractional parts (like or unlike).

Std 4.15 They summarize methods of comparing and adding/subtracting fractions and mixed numbers.

Std 4.16 They compare like/unlike decimals to thousandth place and beyond. They understand and know addition/subtraction of like/unlike decimals to thousandth place and beyond.

### Standards

Here are some standards, objectives etc for use as reference. You can click on any of the objctives to create a lesson plan out of it.
Std 5.6 Besides parts of a whole or a collection when whole or collection is divided in equal parts, they understand fraction from another point of view also as – division of two whole numbers. They understand equivalence of these interpretations and associate a proper fraction to a number between 0 and 1 on the number line.

Std 5.7 They know representation of a whole number as a fraction and a decimal and understand that division can be regarded as multiplication by reciprocal.

Std 5.8 They understand the meaning and effect of multiplication and division of fractions by a whole number, by a fraction or a mixed number/improper fraction and know how to carry out multiplication and division of fractions by these.

Std 5.13 They understand the equivalence of the concepts of fractions and decimals. They know that all decimals can be represented in fractional form and all fractions in decimal form by dividing the numerator by the denominator including terminating and repeating decimals.

Extra Topics Reciprocals