# India/Knowledge Base/Maths/Arithmetic

### 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 1.6 Using concrete objects and pictures, they understand the meaning and use the terms addition/subtraction. They understand the commutative nature of addition (without using the term) and its use to calculate efficiently. They understand the effect of zero in addition and subtraction and know the symbols for the two operations and the symbol ‘=’.

Std 1.7 They are able to add/subtract using concrete objects and skeletal number line (with divisions marked).

Std 1.10 They know the cases in which addition and subtraction are applied and that they cannot subtract a larger number from a smaller number (as of now). They can identify the operation, represent the problems by mathematical expressions, interpret and solve them.

Std 1.11 They understand the inverse relation between addition and subtraction and can give subtraction corresponding to an addition and vice-versa in number sentences using symbols +,-,= .

Std 1.12 They understand that sets of objects, pictures, numbers representing them or expressions like 2+3 are all equivalent in the sense of their number.

### 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 2.5 They are able to add and subtract numbers up to three digits without and with composing/decomposing in expanded form (so that they can understand the concept of composing and decomposing well) as well as short form.

Std 2.6 They know, understand and use commutative and associative properties of addition (without using the terms) and inverse relationship between addition and subtraction.

Std 2.7 They are able to understand the meaning of multiplication (repeated addition) and division (equal sharing, grouping) and their effect using concrete objects, pictures. They understand inverse relation between multiplication and division using concrete objects.

Std 2.9 They understand that multiplication and division are based on multiplication tables and understand, construct and learn multiplication tables of 2 to 5 and 10.

Std 2.10 They understand and correctly use vertical algorithm for multiplication and division for up to three digit numbers by one-digit numbers without and with composing/decomposing including those in which remainder is left behind. They know the terms related to division (dividend, divisor, quotient and remainder).

Std 2.12 They summarize the cases for all four basic operations. They identify operations, write expressions, solve and interpret the results for a mixed bag of problems in meaningful contexts.

### 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 3.5 They are able to fluently carry out addition and subtraction of numbers up to 4-digits.

Std 3.6 They understand the meaning and effect of multiplication and division and the cases in which they are applied. They understand commutative, associative and distributive properties of multiplication (without using the terms) and are able to use them.

Std 3.7 They construct and learn multiplication tables of 6, 7, 8, 11 and 12.

Std 3.8 They understand the effect of multiplication by 1, 10, 100 and division by 1 and also by 10, 100 if the number ends in zeroes i.e. the answer is a whole number. They use this and distributive property of multiplication over addition to understand and use vertical multiplication and division algorithm to multiply and divide by numbers of 2 or more digits without and then with composing or decomposing. They understand the relation, dividend = divisor x quotient + remainder.

Std 3.9 They understand the effect of 0 and 1 in multiplication and division.

Std 3.10 They understand inverse relation between multiplication and division and use it to check results.

Std 3.11 They appreciate the usefulness and purpose of multiplication and division besides addition and subtraction. They develop the ability to correctly choose suitable operations for a mixed bag of problems (a problem may involve more than one operation), write expressions for the problems, solve, check reasonableness of answers and interpret the results.

Std 3.12 They understand properties of sum and product of odd and even numbers.

### 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 4.3 They are able to efficiently apply the appropriate operation and fluently carry out addition and subtraction of whole numbers upto five digits and beyond.

Std 4.4 They are able to apply and more accurately compute multiplication and division of whole numbers (with whole number quotients). They use the relation, dividend = divisor x quotient + remainder.

Std 4.8 They efficiently apply the appropriate operations for problems (with multiple operations and unitary method) from a mixed bag and fluently and accurately carry out the computations, check reasonableness of results and interpret the results.

Std 4.10 They deepen understanding of whole numbers by knowing about factors, multiples, prime and composite numbers. They know prime factors to 50 and express a number as a product of prime factors (not using exponents).

Std 4.11 They know about common factors and common multiples and Least Common Multiple (LCM) and its relevance in solving addition/subtraction of fractions and other simple problems.

### 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 5.2 They efficiently apply the appropriate operation and carry out addition and subtraction and also multiplication and division with large whole numbers.

Std 5.4 They know applications of LCM (other than adding/subtracting fractions) through simple problems e.g 3 bells ring at intervals of 7, 10, 14 minutes respectively, they begin by ringing together. After how long will they ring together again?

Std 5.10 They master unitary method to solve multiplication and division problems involving any of whole numbers, fractions or decimals.

Std 5.11 They summarize the four operations and their effects with whole numbers, decimals and fractions