2015 - 16 5th Maths Annualplan - Sreeja

June

Larger numbers

  • Indian system of numbers beyond lakh (till ten crores)and international system of numbers beyond million (till hundred billions) - Able to insert commas to separate the digits and enter the numbers on the place value chart
  • Able to compare the above two number systems
  • Able to find place value and face value of a given digit
  • Compare two numbers using greater than(>), less than (<) or equal sign (=)
  • Able to write the given numbers in ascending and descending order
  • Able to express the notation into numeration and vice versa.
  • Able to express the numbers into expanded form and vice versa.

Addition and subtraction of large numbers

  • Able to do addition and subtraction of larger numbers (include word problems)

Multiplication and division

  • Able to do multiplication and division of larger numbers (include word problemAble to do multiplication and division of larger numbers (include word problems)

July

Forming numbers

  • Able to write and read greatest and smallest numbers using any number of given digit.

Estimation or rounding of numbers

  • Able to estimate the given numbers to the nearest 10, 100, 1000, 10000, 100000 or 1000000
  • Able to write successor and predecessor of any given number.
  • Able to estimate sums, differences, products and quotients.

Roman numerals

  • Understanding roman numerals equivalent of hindu- arabic numerals
  • Able to express hindu- arabic numerals into roman numerals and vice versa.

August

Factors and multiples

  • Able to check the divisibility of any number by 10,5, 2, 3 ,4, 6, 8 , 9, 11,. etc.
  • Able to factorise any given number using prime factorisation method.
  • Understanding the meaning of HCF and LCM and finding them for a set of given numbers.
  • Understand the relationship between HCF and LCM

Fractions

  • Understanding improper fraction, its pictorial/ physical representation and conversion into mixed number (whole number + fraction) ; convert improper to mixed and back
  • Understand equivalent fractions, finding equivalent fractions of a given fraction and their pictorial/ physical representations.

September

Basic math operations of fractions

  • Able to Compare like fractions.
  • Able to compare unlike fractions by converting into like fractions and method of cross multiplication.
  • Able to add like fractions, unlike fractions and mixed numbers
  • Able to subtract like fractions, unlike fractions and mixed numbers.
  • Able to multiply a whole number with a simple fraction
  • Able to find the fraction of a number (?)
  • Able to simplify: e.g 3/12; 4 x 3/12
  • Understand reciprocals and their properties
  • Able to find the reciprocals of mixed numbers

October

Decimals

  • Understand the need of decimals – through decimal fractions
  • Able to write fractions as decimals and vice versa.
  • Able to write mixed numbers as decimals and vice versa
  • Able to state the place value of the underlined digit.
  • Able to compare two decimals using <, >, or =
  • Able to arrange the given decimals to ascending and descending order.
  • Able to write and read decimals into words and vice versa.

Basic operations of decimals

  • Able to do addition and subtraction.
  • Able to multiply a decimal by a whole number and a decimal
  • Able to multiply by shifting the decimal point according to the number of zeroes.
  • Able to divide whole numbers by multiples of ‘10’to get decimals
  • Able to do rounding of decimals
  • Able to do rounding of quantities.

November, December

Simplifications

  • Understand the need for brackets.
  • Able to Simplify the expressions using BODMAS rule – lots of practice

Percentage (with simple numbers)

  • Able to express a fraction as a percentage and vice versa
  • Able to express a decimal as a percent and vice versa.
  • Able to find a percent of a given number.
  • Able to find the percentage of metric measure

+January

Bills

  • Able to find the price of different quantities of an item.
  • Able to correct and rewrite the bills, Make the bills

Profit and loss - basic

  • Able to find the profit and loss
  • Able to find the cost and selling price

Simple interest - basic

  • Able to write the formula for simple interest, understand the meaning of each term and solve the numerical problems.

February

Average

  • Able to appreciate the importance of average in our life and calculate it.

Geometry

  • Understand and identify a ‘dot’, a ‘line’, a ‘line segment’ and a ‘ray’.
  • Understand and identify ‘intersecting’, ‘parallel’, and ‘perpendicular’ lines.
  • Able to identify different types of angles (acute, right, obtuse etc)
  • Able to measure angles using protractor.
  • Understand the properties of complementary and supplementary angles and able to complement or supplement of any angle.
  • Understand the properties of vertically opposite angles.
  • Understand what a polygon is, able to name and knowing the no. of sides.
  • Understanding different kinds of triangles ( acute- angled, obtuse- angled, right- angled, isosceles etc).
  • Able to construct triangles
  • Able to identify different quadrilaterals and tell the properties.
  • Able to construct squares and rectangle (using protractor and ruler)
  • Understand radius, diameter, centre, arc, quadrant of a circle.
  • Able to draw a circle for a given radius.
  • Study the rotation and reflection of 2D shapes( quarter and half rotations, lateral inversions)- basic
  • Understand symmetry and identifying symmetric shapes - basic
  • Making 3D shapes using 2D flat patterns( Net of a cube, net of a cylinder etc)

March

Ratios and proportions

  • Understand ratio is a way of comparison quantities of the same kind.
  • Able to find the ratio for any fractions
  • Understand what proportion is and able to find the proportionality in different cases. - basic

Area

  • Able to find the area of parallelogram using square grid and rearranging into rectangles.
  • Able to find the area of triangles with acute and obtuse angles (using formula) and square grid.

Introduction to Algebra – if time permits

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