Yearly Plan Eviden F2 2013

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    SMJK CONVENT DATUK KERAMAT PULAU PINANG

    YEARLY PLAN FOR FORM TWO MATHEMATICS

    FIRST TERM

    WEEK TOPICS LEARNING OBJECTIVES LEARNING OUTCOMES

    1 1. DIRECTED NUMBERS1.1 Perform computations involving multiplication

    and division of integers to solve problems.

    1.2 Perform computations involving combined

    operations of addition, subtraction,

    multiplications and division of integers to

    solve problems.

    i Multiply integersi Multiply integers

    ii Solve problems involving multiplication of integersii Solve problems involving multiplication of integersiiii Divided integers.iv Solve problems involving division of integersSolve problems involving division of integers

    i Performing computations involving combined operations of:i Performing computations involving combined operations of:

    a. addition and subtractiona. addition and subtraction

    b.b. multiplication and division of integersmultiplication and division of integers

    ii Solve problems involving combined operations of addition,

    subtraction, multiplication and division of integers, including

    the use of brackets.

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    2 1.!1.! "%tend the concept of integers to fractions to"%tend the concept of integers to fractions tosolve problems.solve problems.

    1.# "%tend the concept of integers to decimals tosolve problems.

    i &ompare and order fractionsi &ompare and order fractionsii Perform addition, subtraction, multiplication or division onii Perform addition, subtraction, multiplication or division on

    fractions.fractions.

    i &ompare and order decimalsi &ompare and order decimalsii Perform addition, subtraction, multiplication or division onii Perform addition, subtraction, multiplication or division on

    decimals.decimals.

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    ! 1.$1.$ Perform computations involving directedPerform computations involving directed

    numbers 'integers, fractions and decimals(numbers 'integers, fractions and decimals(i Perform addition, subtraction, multiplication or division

    involving t)o directed numbers.

    ii Perform computation involving combination of t)o or more

    operations on directed numbers including the use of brackets.

    iii Pose and solve problems involving directed numbers.

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    # 2. SQUARES, SQUARE

    ROOTS, CUBES AND CUBE

    ROOTS

    2.1 *nderstand and use the concept of s+uares of

    numbers.

    i State a number multiplied by itself as a number to the po)er

    of t)o and viceversa.

    ii Determine the s+uares of numbers )ithout using calculators.

    iii "stimate the s+uares of numbers.

    iv Determine the s+uares of numbers using calculators.

    v -ist perfect s+uares.

    vi Determine if a number is a perfect s+uare.

    vii Pose and solve problems involving s+uares of numbers.

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    $ 2.2 *nderstand and use the concept of s+uare

    roots of positive numbers.

    2.! *nderstand and use the concept of cube ofnumbers.

    i Determine the relationship bet)een se+uares and s+uare roots.

    ii Determine the s+uare roots of perfect s+uares )ithout usingcalculator.

    iii Determine the s+uares roots of numbers )ithout usingcalculators.

    iv Multiply t)o s+uare roots.

    v "stimate the s+uare roots of numbers.

    vi Determine the s+uares roots of numbers using calculators.

    i State a number multiplied by itself t)ice as a number to thepo)er of three and viceversa.

    ii Determine cubes of numbers )ithout using calculators.iii "stimate cubes of numbers.

    iv Determine cubes of numbers using calculators.

    v Pose and solve problems involving cubes of numbers.

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    2.# *nderstand and use the concept of cube roots

    of numbers.

    i Determine the relationship bet)een cubes and cube roots.

    ii Determine the cube roots of integers )ithout using

    calculators.

    iii Determine the cube roots of numbers )ithout using

    calculators.

    iv "stimate cube roots of numbers.v Determine cube roots of numbers using calculators.

    vi Pose and solve problems involving cubes and cube roots.vii Perform computations involving addition, subtraction,

    multiplication, division and mi%ed operations in s+uares,

    s+uare roots, cubes and cube roots.

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    / CHINESE NEW YEAR

    0 3. ALGEBRAIC

    EXPRESSIONS II

    !.1 *nderstand the concept of algebraic terms in

    t)o or more unkno)ns.

    !.2 Perform computations involving multiplicationand division of t)o or more terms.

    i dentify unkno)ns in algebraic terms in t)o or more

    unkno)ns.

    ii dentify algebraic terms in t)o or more unkno)ns as the

    product of the unkno)ns )ith a number.iii dentify coefficients in given algebraic terms in t)o or more

    unkno)ns.iv dentify like and unlike algebraic terms in t)o or more

    unkno)ns.

    v State like terms for a given algebraic terms.

    i ind the product of t)o algebraic terms.ii ind the +uotient of t)o algebraic terms.

    iii Perform multiplication and division involving algebraic terms.

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    3 !.! *nderstand the concept of algebraic

    e%pressions.

    i 4rite algebraic e%pressions for given situations using letter

    symbols.ii 5ecogni6e algebraic e%pressions in t)o or more unkno)ns.

    iii Determine the number of terms in given algebraic e%pressionsin t)o or more unkno)ns.

    iv Simplify algebraic e%pressions by collecting like terms.

    v "valuate e%pression by substituting numbers for letters.

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    17 !.# Perform computations involving algebraice%pressions.

    i Multiply and divide algebraic e%pressions by a number.ii Perform

    a. addition

    b. subtraction

    involving t)o e%pressions.

    iii Simplify algebraic e%pressions.

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    11 . LINEAR EQUATIONS #.1 *nderstand and use the concept of e+uality.

    #.2 *nderstand and use the concept of linear

    e+uations in one unkno)n.

    i State the relationship bet)een t)o +uantities by using the

    symbol 8 9 or 8 .

    i 5ecogni6e linear algebraic terms.

    ii 5ecogni6e linear algebraic e%pressions.ii 5ecogni6e linear algebraic e%pressions.

    iii Determine if a given e+uation isiii Determine if a given e+uation isa. a linear e+uationa. a linear e+uation

    b. a linear e+uation in one unkno)n.b. a linear e+uation in one unkno)n.iv 4rite linear e+uations in one unkno)n for the given

    statement and vice versa.

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    12 #.! *nderstand the concept of solutions of lineare+uations in one unkno)n.

    i Determine if a numerical value is a solution of a given lineare+uation in one unkno)n.

    ii Determine the solution of a linear e+uation in one unkno)nby trial and improvement method.

    iii Solve e+uation in the form of

    a( x + a = b

    b( x a = b

    c( ax = b

    d(a

    x

    = b

    )here a, b, care integers andxin an unkno)n .

    iv Solve e+uations in the form of ax + b = c )here a, b, c are

    integers andxis an unkno)n.

    v Solve linear e+uations in one unkno)n.

    vi Pose and solve problems involving linear e+uations in oneunkno)n.

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    MID ! TERM HOLIDAYSMID ! TERM HOLIDAYS

    1! ". RATIOS, RATES AND

    PROPORTIONS

    $.1 *nderstand the concept of ratio of t)o

    +uantities. ii &ompare t)o +uantities in the form a : b or&ompare t)o +uantities in the form a : b orb

    a

    ii Determine )hether given ratios are e+uivalent ratios.ii Determine )hether given ratios are e+uivalent ratios.

    iii Simplify ratios to the lo)est terms.iii Simplify ratios to the lo)est terms.iv State ratios related to a given ratio.iv State ratios related to a given ratio.

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    $.2 *nderstand the concept of proportion to solve

    problems.i State )hether t)o pairs of +uantities is a proportion.i State )hether t)o pairs of +uantities is a proportion.

    ii Determine if a +uantity is proportional to another +uantityii Determine if a +uantity is proportional to another +uantity

    given t)o values of each +uantity.given t)o values of each +uantity.

    iii ind the value of a +uantity given the ratio of the t)oiii ind the value of a +uantity given the ratio of the t)o

    +uantities and the value of another +uantity.+uantities and the value of another +uantity.iv ind the value of a +uantity given the ratio and the sum ofiv ind the value of a +uantity given the ratio and the sum of

    the t)o +uantities.the t)o +uantities.

    v ind the sum of t)o +uantity given the ratio of the +uantitiesv ind the sum of t)o +uantity given the ratio of the +uantities

    and the difference bet)een the +uantities.and the difference bet)een the +uantities.

    vi Pose and solve problems involving ratios and proportions.vi Pose and solve problems involving ratios and proportions.

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    1# $.! *nderstand and use the concept of ratio of

    three +uantities to solve prolems.i &ompare three +uantities in the form a : b : c .i &ompare three +uantities in the form a : b : c .

    ii Determine )hether given ratios are e+uivalent ratios.ii Determine )hether given ratios are e+uivalent ratios.iii Simplify ratio of three +uantities to the lo)est terms.iii Simplify ratio of three +uantities to the lo)est terms.

    iv State the ratio of any t)o +uantities given ratio of threeiv State the ratio of any t)o +uantities given ratio of three

    +uantities.+uantities.v ind the ratio of a : b : c given the ratio of a : b and b : c .

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    vi ind the value of the other +uantities, given the ratio of three+uantities and the value of one of the +uantities.

    vii ind the value of each of the three +uantities given :a. ;he ratio and the sum of three +uantities.

    b. ;he ratio and the difference bet)een t)o of the three

    +uantities.

    viii ind the sum of three +uantities given the ratio and the

    difference bet)een t)o of the three +uantities.

    i% Pose and solve problems involving ratio of three +uantities.

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    1$ #. PYTHAGORAS$ THEOREM

    .1 *nderstand the relationship bet)een the sidesof a rightangled triangle.

    i dentify the hypotenuse of rightangle triangles.ii Determine the relationship bet)een the lengths of the sides of

    a rightangled triangle.iii ind the length of the missing side of a rightangled triangle

    using the Pythagoras< theorem.

    iv ind the length of sides associated )ith combined geometric

    shapes using Pythagoras< theorem.

    v Solve problems using the Pythagoras< theorem.

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    1 .2 *nderstand and use the converse of the

    Pythagoras< theorem.

    i Determine )hether a triangle is a rightangled triangle.

    ii Solve problems involving the converse of Pythagoras> "=E (

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