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)
• 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