(Advanced Singapore math’s, Pre-requisite: They have complete elementary
Singapore math’s for kids course )
- Starting grade: 6th and above
- Integers- Properties of addition and subtraction of integers, multiplication of integers, Word problems, division of integers. Word problems
- 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
- Multiplication of decimals-Multiplication of decimals with 10, 100
- Division of decimals- Division of decimals, Word problems.
- Data handling- Organization of data using tally marks, Arithmetic mean, Range, Mode, Median use of bar graphs, Chance and probability, Word problems on chances
- Simple equations- types of expressions, Formation of expressions, writing expressions and equations. Practical use of algebraic expression5, algebraic equation. Solving an equation
- 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
- 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
- Comparing quantities- relation between two quantities equivalent ratio.
- Proportion- converting fractions to percentages. Converting percentage to fractions or decimals. Percentage increase and decrease formula, Word problems on conversions Basic concepts of profit and loss- cp, sp, gain %, loss %
- 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
- Practical geometry-parallel lines. Construction of parallel lines. Construction of triangle. Word problems. Circles.
- Perimeter and area-area and perimeter of all polygons, Area and perimeter of irregular polygons
- Algebraic expression-types of expressions as monomial, binomial or trinomial, Addition and subtraction of algebraic expression, Finding the value of an algebraic expression, Use of variable in common rules, Number pattern is a sequence of numbers
- Exponents and power- the exponent of a number
- Base and exponents- Base and exponents, Exponent rules
- Expanding decimal numbers-Expanding decimal numbers