MATHEMATICS (2015 – 16)

CLASS – 5

 NUMBERS Place value Reading & writing numbers up to 10,000,000 Decimal numbers Fractions Multiples & Factors Common multiples & common factors Square and cube numbers Integers Number Line Roman Numerals till 1000 (M) Addition & Subtraction Multiplication facts 12 × 12 Multiplication & division Rounding off MEASUREMENT ALGEBRA Units of  Length, Mass and Volume Volume of Cubes and Cuboids Money Time Simple formulae Algebraic Expressions Missing numbers in an equation Unknown variables SHAPES STATISTICS 2 – D & 3 – D shapes Triangles & Quadrilaterals Circle Unknown Angles Drawing of 2 – D shapes Regular and irregular polygons Coordinate grid Symmetry Carroll and Venn Diagram Probability   Translation, Rotation & Reflection   Interpretation and presentation of data.  Range of a data  Mean, Median and Mode  as an average

1st QUARTER

 NUMBERS Place value up to 10,000,000   Read, write, order and compare numbers up to 10,000,000 Round any whole number to a required degree of  accuracy Multiplication and division up to 4 digits by a two digit whole number   Application Negative numbers Calculation of intervals across zero

 MEASUREMENT & SHAPES Conversion of  different Metric and Imperial units    LENGTH :        Mile, Inch, Kilometre, Centimetre &  Millimetre  MASS:               Pounds, Kilogram, Gram  VOLUME:        Pint, Litre and Millilitre Area of Triangles and Parallelograms

2nd QUARTER

 NUMBERS Multiples and Factors Common factors Common multiples Prime Factorization Square & cube numbers Ratio & Proportion   Calculations of Percentages Roman Numerals till 1000(M) Order of operations (BODMAS)   Multi-step problems involving Addition, subtraction , Multiplication & Division

 MEASUREMENT & SHAPES Finding unknown angles in any triangles, Quadrilaterals  and regular polygons Perimeter & Area of a rectilinear figures Venn and Carroll diagram

3rd QUARTER

 NUMBERS Fractions  Ones, Tenths, Hundredths and Thousandths Equivalent Fractions Decimal numbers Application of  four Arithmetic operations  (+,  –,  × and  ÷) Addition & subtraction of fractions(with unlike denominators and mixed numbers) Multiplication & division  of fractions Equivalence between Simple fractions, decimals and percentages

 SHAPES & STATISTICS Probability Calculate and interpret the mean, median and Mode as an average  Range of a data. Drawing of 2 – D shapes with given dimensions and angles

4th QUARTER

 ALGEBRA ·        Simple formulae       Algebraic Expressions ·        Expressing missing numbers problems algebraically. ·        Finding pairs of numbers that satisfy an equation with two unknown variables. ·        Enumerating possibilities of combining two variables.

 SHAPES, MEASURES & STATISTICS Translation ,Rotation & Reflection on the Cartesian plane Interpret and construct the pie charts and line graphs Volume of cubes and cuboids using standard units cm³, m³, mm³, km³ etc