Advanced Singapore Math’s
(Pre-requisite: Compulsory have to complete Singapore for kids)
Total hrs: 40 hrs
Starting age group: 9 yrs
Starting grade: 6 th and above
1. Integers: Properties of addition and subtraction of integers, multiplication of integers,
Word problems, division of integers. Word problems
2. Fractions and decimals: Addition and subtraction of mixed numbers with whole
numbers, fractions. Multiplication of fractions with whole numbers, fractions, mixed
fractions. Reciprocal. Division of fraction with whole numbers, fractions, mixed
fractions. Uses of decimals for representing money, weight
3. Multiplication of decimals: Multiplication of decimals with 10, 100
4. Division of decimals: Division of decimals, Word problems.
1. Data handling: Organization of data using tally marks, Arithmetic mean, Range, Mode,
Median use of bar graphs, Chance and probability, Word problems on chances
5. Simple equations: types of expressions, Formation of expressions, writing expressions
and equations. Practical use of algebraic expression5, algebraic equation. Solving anequation
6. Triangle and its properties: types of triangles and their properties, exterior angle
theorem. Angle sum property of triangle. Equilateral and isosceles triangles,
Pythagoras’s theorem. Word problems
7. Congruence of triangle: congruence of plane figures, Congruence of angles, congruence of triangles: sss rule. Asa rule. Aaa rule. Sas rule of congruence, word problems on congruence of triangles
8. Comparing quantities: relation between two quantities equivalent ratio.
9. Proportion: converting fractions to percentages. Converting percentage to fractions ordecimals. Percentage increase and decrease formula, Word problems on conversions
10. Basic concepts of profit and loss: cp, sp, gain %, loss %
Word problems, division of integers. Word problems
2. Fractions and decimals: Addition and subtraction of mixed numbers with whole
numbers, fractions. Multiplication of fractions with whole numbers, fractions, mixed
fractions. Reciprocal. Division of fraction with whole numbers, fractions, mixed
fractions. Uses of decimals for representing money, weight
3. Multiplication of decimals: Multiplication of decimals with 10, 100
4. Division of decimals: Division of decimals, Word problems.
1. Data handling: Organization of data using tally marks, Arithmetic mean, Range, Mode,
Median use of bar graphs, Chance and probability, Word problems on chances
5. Simple equations: types of expressions, Formation of expressions, writing expressions
and equations. Practical use of algebraic expression5, algebraic equation. Solving anequation
6. Triangle and its properties: types of triangles and their properties, exterior angle
theorem. Angle sum property of triangle. Equilateral and isosceles triangles,
Pythagoras’s theorem. Word problems
7. Congruence of triangle: congruence of plane figures, Congruence of angles, congruence of triangles: sss rule. Asa rule. Aaa rule. Sas rule of congruence, word problems on congruence of triangles
8. Comparing quantities: relation between two quantities equivalent ratio.
9. Proportion: converting fractions to percentages. Converting percentage to fractions ordecimals. Percentage increase and decrease formula, Word problems on conversions
10. Basic concepts of profit and loss: cp, sp, gain %, loss %
11. Rational numbers: rational and irrational numbers, Positive and negative rational number, Equivalent rational numbers, Representation of. rational numbers on a number line, Comparison of rational numbers, Rational numbers lying between 2 numbers. Operations on rational numbers
2. Practical geometry: parallel lines. Construction of parallel lines. Construction of triangle.Word problems. Circles.
12. Perimeter and area: area and perimeter of all polygons,Area and perimeter of irregular polygons
13. Algebraic expression: types of expressions as monomial, binomial or trinomial,Addition and subtraction of algebraic expression, Finding the. value of an algebraicexpression, Use of variable in common rules, Number pattern is a sequence of numbers
14. Exponents and power: the exponent of a number
15. Base and exponents: Base and exponents, Exponent rules
16. Expanding decimal numbers : Expanding decimal numbers
14. Exponents and power: the exponent of a number
15. Base and exponents: Base and exponents, Exponent rules
16. Expanding decimal numbers : Expanding decimal numbers