Page 6 - ICSE Math 7

Syllabus

Number System

Suggested Transactional
Key Concepts Learning Outcomes
Processes
• Multiplication and division of Students will be able to: • Revising previous concepts
integers • multiply integers by using learnt by children.
• Properties of operations on patterns and generalize the rules • Building on children’s previous
integers: commutativity, to multiply a positive integer by learning.
associativity, existence of a negative integer, a negative • Involving children in
identity and inverse and integer by a positive integer and discussion to find their own
distributivity two negative integers; ways of multiplying integers
• Problem solving using • divide integers by using patterns using their understanding
operations on integers and forms rules to perform about the rules for
• Solution of word problems division in integers; multiplication and division of
involving integers (all • get a feel of necessity of rational whole numbers.
operations) numbers (through representation • Providing enough time to
• Introduction to rational numbers on number line); children to use patterns in
(with representation on number • perform operations on rational multiplying a negative integer
line) numbers (addition, subtraction, by another integer as this may
• Word problems on rational multiplication and division); be a new idea. Up till now they
have learnt that multiplication is
numbers (all operations) • solve daily life problems repeated addition or an operator
• Decimal representation of involving rational numbers (all in case of fractions. Sufficient
rational numbers operations); time should be given to children

• Problem solving using • understand and use fraction as to appreciate why the product
operations on rational numbers an operator; of two negative integers is
and decimal fractions • find reciprocal of a fraction; positive.
• Fraction as an operator • multiply fractions by using • Encouraging children to

• Reciprocal of a fraction patterns/paper folding/pictures explore and use the concept of
dividing a natural number by
• Multiplication and division of and form general rules; another by simply finding the
decimal fractions • divide fractions by using number which when multiplies
• Exponents only natural numbers patterns/visualization/picture the divisor gives the dividend
and forms rules;
• Laws of exponents (through • solve word problems involving as product. So to find –4 ÷ –2
observing patterns to arrive at mixed fractions and operations we have to find the number
generalisation) on them; which on multiplication with

• Application of laws of • represent rational number as a –2 gives the result –4. Many
children will be able to infer
exponents in simple daily life decimal and vice-versa; that the required number must
problems be +2. Many such examples
• Revision idea of sets • multiplication and division of will help the child to make
decimal fractions;
• Equal, equivalent, universal sets • use exponential form and their their own rule like +ve ÷ –ve
• Cardinal property of sets rules to solve problems related = –ve, –ve ÷ +ve = –ve and –ve
÷ –ve = +ve.
to repeated multiplication;