Sg.Sec1 History

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January 28, 2009, at 12:00 PM by LFS -
Changed line 83 from:
to:
January 11, 2009, at 08:05 AM by LFS -
Changed line 9 from:

[ colspan=3]1 Whole numbers

to:

[ colspan=3]1 Numbers and Algebra

Changed line 11 from:

[]1.1 Numbers up to 100

to:

[]1.1 Numbers and the four operations

Changed lines 13-23 from:
  • counting to tell the number of objects in a given set,
  • comparing the number of objects in two or more sets,
  • use of ordinal numbers (first, second, up to tenth) and symbols (1st, 2nd, 3rd, etc.),
  • number notation and place values (tens, ones),
  • reading and writing numbers in numerals and in words,
  • comparing and ordering numbers,
  • number patterns

Exclude

  • use of the terms ‘cardinal number’ and ‘ordinal number’,
  • use of the symbols > and <.
to:
  • primes and prime factorisation
  • finding HCF and LCM, squares, cubes, square roots and cube roots by prime factorisation
  • negative numbers, integers, rational numbers, real numbers and their four operations
  • calculations with the use of a calculator
  • representation and ordering of numbers on the number line
  • use of the symbols <, >, ≤, ≥
  • approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures, estimating the results of computation, and concepts of rounding and truncation errors)

[]

Changed line 22 from:

[]1.2 Addition and subtraction

to:

[]1.2 Ratio, rate and proportion

Changed lines 24-35 from:

concepts of addition and subtraction,

  • use of the addition symbol (+) or subtraction symbol (−) to write a mathematical statement for a given situation,
  • comparing two numbers within 20 to tell how much one number is greater (or smaller) than the other,
  • recognising the relationship between addition and subtraction,
  • building up the addition bonds up to 9 + 9 and committing to memory,
  • solving 1-step word problems involving addition and subtraction within 20,
  • addition of more than two 1-digit numbers,
  • addition and subtraction within 100 involving
  • ∗ a 2-digit number and ones,
  • ∗ a 2-digit number and tens,
  • ∗ two 2-digit numbers,
  • addition and subtraction using formal algorithms
to:
  • ratios involving rational numbers
  • writing a ratio in its simplest form
  • average rate
  • problems involving ratio and rate
Changed line 30 from:

[]1.3 Mental calculation  

to:

[]1.3 Percentage

Changed lines 32-35 from:
  • addition and subtraction within 20,
  • addition and subtraction involving
  • ∗ a 2-digit number and ones without renaming,
  • ∗ a 2-digit number and tens
to:
  • expressing one quantity as a percentage of another
  • comparing two quantities by percentage
  • percentages greater than 100%
  • increasing/decreasing a quantity by a given percentage
  • reverse percentages
  • problems involving percentages
January 11, 2009, at 08:04 AM by LFS -
Changed line 9 from:

[ colspan=3]1 Numbers and Algebra

to:

[ colspan=3]1 Whole numbers

Changed line 11 from:

[]1.1 Numbers and the four operations

to:

[]1.1 Numbers up to 100

Changed lines 13-20 from:
  • primes and prime factorisation
  • finding HCF and LCM, squares, cubes, square roots and cube roots by prime factorisation
  • negative numbers, integers, rational numbers, real numbers and their four operations
  • calculations with the use of a calculator
  • representation and ordering of numbers on the number line
  • use of the symbols <, >, ≤, ≥
  • approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures, estimating the results of computation, and concepts of rounding and truncation errors)

[]

to:
  • counting to tell the number of objects in a given set,
  • comparing the number of objects in two or more sets,
  • use of ordinal numbers (first, second, up to tenth) and symbols (1st, 2nd, 3rd, etc.),
  • number notation and place values (tens, ones),
  • reading and writing numbers in numerals and in words,
  • comparing and ordering numbers,
  • number patterns

Exclude

  • use of the terms ‘cardinal number’ and ‘ordinal number’,
  • use of the symbols > and <.
Changed line 25 from:

[]1.2 Ratio, rate and proportion

to:

[]1.2 Addition and subtraction

Changed lines 27-30 from:
  • ratios involving rational numbers
  • writing a ratio in its simplest form
  • average rate
  • problems involving ratio and rate
to:

concepts of addition and subtraction,

  • use of the addition symbol (+) or subtraction symbol (−) to write a mathematical statement for a given situation,
  • comparing two numbers within 20 to tell how much one number is greater (or smaller) than the other,
  • recognising the relationship between addition and subtraction,
  • building up the addition bonds up to 9 + 9 and committing to memory,
  • solving 1-step word problems involving addition and subtraction within 20,
  • addition of more than two 1-digit numbers,
  • addition and subtraction within 100 involving
  • ∗ a 2-digit number and ones,
  • ∗ a 2-digit number and tens,
  • ∗ two 2-digit numbers,
  • addition and subtraction using formal algorithms
Changed line 41 from:

[]1.3 Percentage

to:

[]1.3 Mental calculation  

Changed lines 43-48 from:
  • expressing one quantity as a percentage of another
  • comparing two quantities by percentage
  • percentages greater than 100%
  • increasing/decreasing a quantity by a given percentage
  • reverse percentages
  • problems involving percentages
to:
  • addition and subtraction within 20,
  • addition and subtraction involving
  • ∗ a 2-digit number and ones without renaming,
  • ∗ a 2-digit number and tens
December 26, 2008, at 12:36 PM by LFS -
Changed line 83 from:
  • solving simple inequality (e.g. 3x \le 5 )
to:
September 23, 2008, at 07:34 AM by LFS -
Changed line 42 from:
  • concepts of speed, uniform speed and average speed
to:
August 27, 2008, at 09:45 AM by LFS -
Changed line 105 from:
  • area of parallelogram and trapezium
to:
August 25, 2008, at 12:22 AM by LFS -
Changed line 13 from:
  • primes and prime factorisation
to:
August 17, 2008, at 10:43 PM by LFS -
Changed line 77 from:
  • the gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)
to:
August 04, 2008, at 01:09 AM by LFS -
Changed line 74 from:
  • cartesian coordinates in two dimensions
to:
July 31, 2008, at 12:38 PM by LFS -
Changed line 122 from:

Excludes:

to:

Exclude:

July 31, 2008, at 12:38 PM by LFS -
Changed line 9 from:

[ colspan=3]1 Numbers and Algebra

to:

[ colspan=3]1 Numbers and Algebra

Changed line 11 from:

[]1.1 Numbers and the four operations

to:

[]1.1 Numbers and the four operations

Changed lines 13-19 from:

• primes and prime factorisation
• finding HCF and LCM, squares, cubes, square roots and cube roots by prime factorisation
• negative numbers, integers, rational numbers, real numbers and their four operations
• calculations with the use of a calculator
• representation and ordering of numbers on the number line
• use of the symbols <, >, ≤, ≥
• approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures, estimating the results of computation, and concepts of rounding and truncation errors)

to:
  • primes and prime factorisation
  • finding HCF and LCM, squares, cubes, square roots and cube roots by prime factorisation
  • negative numbers, integers, rational numbers, real numbers and their four operations
  • calculations with the use of a calculator
  • representation and ordering of numbers on the number line
  • use of the symbols <, >, ≤, ≥
  • approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures, estimating the results of computation, and concepts of rounding and truncation errors)
Changed line 22 from:

[]1.2 Ratio, rate and proportion

to:

[]1.2 Ratio, rate and proportion

Changed lines 24-27 from:

• ratios involving rational numbers
• writing a ratio in its simplest form
• average rate
• problems involving ratio and rate

to:
  • ratios involving rational numbers
  • writing a ratio in its simplest form
  • average rate
  • problems involving ratio and rate
Changed line 30 from:

[]1.3 Percentage

to:

[]1.3 Percentage

Changed lines 32-37 from:

• expressing one quantity as a percentage of another
• comparing two quantities by percentage
• percentages greater than 100%
• increasing/decreasing a quantity by a given percentage
• reverse percentages
• problems involving percentages

to:
  • expressing one quantity as a percentage of another
  • comparing two quantities by percentage
  • percentages greater than 100%
  • increasing/decreasing a quantity by a given percentage
  • reverse percentages
  • problems involving percentages
Changed line 40 from:

[]1.4 Speed

to:

[]1.4 Speed

Changed lines 42-44 from:

• concepts of speed, uniform speed and average speed
• conversion of units (e.g. km/h to m/s)
• problems involving speed, uniform speed and average speed

to:
  • concepts of speed, uniform speed and average speed
  • conversion of units (e.g. km/h to m/s)
  • problems involving speed, uniform speed and average speed
Changed line 47 from:

[]1.5 Algebraic representation and formulae

to:

[]1.5 Algebraic representation and formulae

Changed lines 49-50 from:

• using letters to represent numbers
• interpreting notations:

to:
  • using letters to represent numbers
  • interpreting notations:
Changed lines 56-58 from:

• evaluation of algebraic expressions and formulae
• translation of simple real-world situations into algebraic expressions
• recognising and representing number patterns (including finding an algebraic expression for the nth term)

to:
  • evaluation of algebraic expressions and formulae
  • translation of simple real-world situations into algebraic expressions
  • recognising and representing number patterns (including finding an algebraic expression for the nth term)
Changed line 61 from:

[]1.6 Algebraic manipulation

to:

[]1.6 Algebraic manipulation

Changed lines 63-64 from:

• addition and subtraction of linear algebraic expressions
• simplification of linear algebraic expressions, e.g.

to:
  • addition and subtraction of linear algebraic expressions
  • simplification of linear algebraic expressions, e.g.
Changed lines 67-69 from:

• factorisation of linear algebraic expressions of the form
ax + ay (where a is a constant)
ax + bx + kay + kby (where a , b and k are constants)

to:
  • factorisation of linear algebraic expressions of the form
    • ax + ay (where a is a constant)
    • ax + bx + kay + kby (where a , b and k are constants)
Changed line 72 from:

[]1.7 Functions and graphs

to:

[]1.7 Functions and graphs

Changed lines 74-77 from:

• cartesian coordinates in two dimensions
• graph of a set of ordered pairs
• linear relationships between two variables (linear functions)
• the gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)

to:
  • cartesian coordinates in two dimensions
  • graph of a set of ordered pairs
  • linear relationships between two variables (linear functions)
  • the gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)
Changed line 80 from:

[]1.8 Solutions of equations and inequalities

to:

[]1.8 Solutions of equations and inequalities

Changed lines 82-84 from:

• solving linear equations in one unknown (including fractional coefficients)
• solving simple inequality (e.g. 3x \le 5 )
• solving simple fractional equations that can be reduced to linear equations, e.g.

to:
  • solving linear equations in one unknown (including fractional coefficients)
  • solving simple inequality (e.g. 3x \le 5 )
  • solving simple fractional equations that can be reduced to linear equations, e.g.
Changed line 87 from:

• formulating a linear equation in one unknown to solve problems

to:
  • formulating a linear equation in one unknown to solve problems
Changed line 90 from:

[ colspan=3]2 Geometry and Measurement

to:

[ colspan=3]2 Geometry and Measurement

Changed line 92 from:

[]2.1 Angles, triangles and polygons

to:

[]2.1 Angles, triangles and polygons

Changed lines 94-101 from:

• right, acute, obtuse and reflex angles, complementary and supplementary angles, vertically opposite angles, adjacent angles on a straight line, adjacent angles at a point, interior and exterior angles
• angles formed by two parallel lines and a transversal: corresponding angles, alternate angles, interior angles
• properties of triangles and special quadrilaterals
• classifying special quadrilaterals on the basis of their properties
• angle sum of interior and exterior angles of any convex polygon
• properties of regular pentagon, hexagon, octagon and decagon
• properties of perpendicular bisectors of line segments and angle bisectors
• construction of simple geometrical figures from given data (including perpendicular bisectors and angle bisectors) using compasses, ruler, set squares and protractors, where appropriate

to:
  • right, acute, obtuse and reflex angles, complementary and supplementary angles, vertically opposite angles, adjacent angles on a straight line, adjacent angles at a point, interior and exterior angles
  • angles formed by two parallel lines and a transversal: corresponding angles, alternate angles, interior angles
  • properties of triangles and special quadrilaterals
  • classifying special quadrilaterals on the basis of their properties
  • angle sum of interior and exterior angles of any convex polygon
  • properties of regular pentagon, hexagon, octagon and decagon
  • properties of perpendicular bisectors of line segments and angle bisectors
  • construction of simple geometrical figures from given data (including perpendicular bisectors and angle bisectors) using compasses, ruler, set squares and protractors, where appropriate
Changed line 103 from:

[]2.2 Mensuration

to:

[]2.2 Mensuration

Changed lines 105-109 from:

• area of parallelogram and trapezium
• problems involving perimeter and area of composite plane figures (including triangle and circle)
• volume and surface area of cube, cuboid, prism and cylinder
• conversion between cm2 and m2 , and between cm3 and m3
• problems involving volume and surface area of composite solids

to:
  • area of parallelogram and trapezium
  • problems involving perimeter and area of composite plane figures (including triangle and circle)
  • volume and surface area of cube, cuboid, prism and cylinder
  • conversion between cm2 and m2 , and between cm3 and m3
  • problems involving volume and surface area of composite solids
Changed line 112 from:

[ colspan=3]3 Statistics and Probability

to:

[ colspan=3]3 Statistics and Probability

Changed line 114 from:

[]3.1 Data handling

to:

[]3.1 Data handling

Changed lines 116-130 from:

• data collection methods such as:
∗ taking measurements
∗ conducting surveys
∗ classifying data
∗ reading results of observations/outcomes of events
• construction and interpretation of:
∗ tables
∗ bar graphs
∗ pictograms
∗ line graphs
∗ pie charts
∗ histograms
• purposes and use, advantages and disadvantages of the different forms of statistical representations
• drawing simple inference from statistical diagrams
Exclude histograms with unequal intervals.

to:
  • data collection methods such as:
    • taking measurements, conducting surveys, classifying data, reading results of observations/outcomes of events
  • construction and interpretation of:
    • tables, bar graphs, pictograms, line graphs, pie charts, histograms
  • purposes and use, advantages and disadvantages of the different forms of statistical representations
  • drawing simple inference from statistical diagrams

Excludes:

  • histograms with unequal intervals.
July 31, 2008, at 12:24 PM by LFS -
Added line 91:

[row]

July 31, 2008, at 12:20 PM by LFS -
Changed line 85 from:
  • {x \over 3}+{x-2 \over 4}=3 3
to:
  • {x \over 3}+{x-2 \over 4}=3
Deleted lines 88-93:

[tableend]

 


[table width=100% border=0]

Added lines 90-137:

[ colspan=3]2 Geometry and Measurement
[]2.1 Angles, triangles and polygons
[]Include:
• right, acute, obtuse and reflex angles, complementary and supplementary angles, vertically opposite angles, adjacent angles on a straight line, adjacent angles at a point, interior and exterior angles
• angles formed by two parallel lines and a transversal: corresponding angles, alternate angles, interior angles
• properties of triangles and special quadrilaterals
• classifying special quadrilaterals on the basis of their properties
• angle sum of interior and exterior angles of any convex polygon
• properties of regular pentagon, hexagon, octagon and decagon
• properties of perpendicular bisectors of line segments and angle bisectors
• construction of simple geometrical figures from given data (including perpendicular bisectors and angle bisectors) using compasses, ruler, set squares and protractors, where appropriate
[row]
[]2.2 Mensuration
[]Include:
• area of parallelogram and trapezium
• problems involving perimeter and area of composite plane figures (including triangle and circle)
• volume and surface area of cube, cuboid, prism and cylinder
• conversion between cm2 and m2 , and between cm3 and m3
• problems involving volume and surface area of composite solids
[]
[row]
[ colspan=3]3 Statistics and Probability
[row]
[]3.1 Data handling
[]Include:
• data collection methods such as:
∗ taking measurements
∗ conducting surveys
∗ classifying data
∗ reading results of observations/outcomes of events
• construction and interpretation of:
∗ tables
∗ bar graphs
∗ pictograms
∗ line graphs
∗ pie charts
∗ histograms
• purposes and use, advantages and disadvantages of the different forms of statistical representations
• drawing simple inference from statistical diagrams
Exclude histograms with unequal intervals.
[]
[tableend]

 


[table width=100% border=0]
[row]

July 31, 2008, at 12:17 PM by LFS -
Changed lines 65-71 from:

∗ − 2(3x − 5) + 4x

2
3( 5)
3
2 −
x − x

to:
  • − 2(3x − 5) + 4x
  • {2x \over 3}-{3(x-5) \over 2}
Changed lines 68-69 from:

∗ ax + ay (where a is a constant)
∗ ax + bx + kay + kby (where a, b and k are constants)

to:

ax + ay (where a is a constant)
ax + bx + kay + kby (where a , b and k are constants)

Changed line 83 from:

• solving simple inequality (e.g. 3x ≤ 5 )

to:

• solving simple inequality (e.g. 3x \le 5 )

Changed lines 85-95 from:

∗ 3
4
2
3
=

x + x
∗ 6
2
3 =
x −

to:
  • {x \over 3}+{x-2 \over 4}=3 3
  • {3 \over x-2}=6
July 31, 2008, at 12:13 PM by LFS -
Changed line 41 from:

Include:

to:

[]Include:

Changed lines 45-46 from:

1.5 Algebraic representation and formulae
Include:

to:

[]
[row]
[]1.5 Algebraic representation and formulae
[]Include:

Changed lines 51-65 from:

∗ ab as a × b

to:
  • ab as a \times b
  • {a \over b} as a \div b
  • a^2 as a \times a , a^3 as a \times a \times a , a^2b as a \times a \times b...
  • 3y as y + y + y or 3 /times y
  • {{3 \pm y} \over 5} as {{(3 \pm y)} \div 5} or {1 \over 5}\times {(3 \pm y)}

• evaluation of algebraic expressions and formulae
• translation of simple real-world situations into algebraic expressions
• recognising and representing number patterns (including finding an algebraic expression for the nth term)
[]
[row]
[]1.6 Algebraic manipulation
[]Include:
• addition and subtraction of linear algebraic expressions
• simplification of linear algebraic expressions, e.g.
∗ − 2(3x − 5) + 4x

Deleted lines 66-85:

b
a
as a ÷ b
∗ a2 as a × a, a3 as a × a × a, a2b as a × a × b, . . .
∗ 3y as y + y + y or 3 × y

5
3 ± y
as (3 ± y) ÷ 5 or (3 )
5
1× ± y
• evaluation of algebraic expressions and formulae
• translation of simple real-world situations into algebraic expressions
• recognising and representing number patterns (including finding an algebraic expression for the nth term)
1.6 Algebraic manipulation
Include:
• addition and subtraction of linear algebraic expressions
• simplification of linear algebraic expressions, e.g.
∗ − 2(3x − 5) + 4x

Changed lines 75-76 from:

1.7 Functions and graphs
Include:

to:

[]
[row]
[]1.7 Functions and graphs
[]Include:

Changed lines 83-84 from:

1.8 Solutions of equations and inequalities
Include:

to:

[]
[row]
[]1.8 Solutions of equations and inequalities
[]Include:

Changed line 102 from:
to:

[]

July 31, 2008, at 11:59 AM by LFS -
Changed lines 2-5 from:

 

[table width=100% border=0]

to:

[table border=1 width=100% cellpadding=3]

Added lines 5-109:

[!]Topic/Sub-topic
[!]Content
[!]Learning Outcomes
[row]
[ colspan=3]1 Numbers and Algebra
[row]
[]1.1 Numbers and the four operations
[]Include:
• primes and prime factorisation
• finding HCF and LCM, squares, cubes, square roots and cube roots by prime factorisation
• negative numbers, integers, rational numbers, real numbers and their four operations
• calculations with the use of a calculator
• representation and ordering of numbers on the number line
• use of the symbols <, >, ≤, ≥
• approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures, estimating the results of computation, and concepts of rounding and truncation errors)
[]
[row]
[]1.2 Ratio, rate and proportion
[]Include:
• ratios involving rational numbers
• writing a ratio in its simplest form
• average rate
• problems involving ratio and rate
[]
[row]
[]1.3 Percentage
[]Include:
• expressing one quantity as a percentage of another
• comparing two quantities by percentage
• percentages greater than 100%
• increasing/decreasing a quantity by a given percentage
• reverse percentages
• problems involving percentages
[]
[row]
[]1.4 Speed
Include:
• concepts of speed, uniform speed and average speed
• conversion of units (e.g. km/h to m/s)
• problems involving speed, uniform speed and average speed
1.5 Algebraic representation and formulae
Include:
• using letters to represent numbers
• interpreting notations:
∗ ab as a × b

b
a
as a ÷ b
∗ a2 as a × a, a3 as a × a × a, a2b as a × a × b, . . .
∗ 3y as y + y + y or 3 × y

5
3 ± y
as (3 ± y) ÷ 5 or (3 )
5
1× ± y
• evaluation of algebraic expressions and formulae
• translation of simple real-world situations into algebraic expressions
• recognising and representing number patterns (including finding an algebraic expression for the nth term)
1.6 Algebraic manipulation
Include:
• addition and subtraction of linear algebraic expressions
• simplification of linear algebraic expressions, e.g.
∗ − 2(3x − 5) + 4x

2
3( 5)
3
2 −
x − x
• factorisation of linear algebraic expressions of the form
∗ ax + ay (where a is a constant)
∗ ax + bx + kay + kby (where a, b and k are constants)
1.7 Functions and graphs
Include:
• cartesian coordinates in two dimensions
• graph of a set of ordered pairs
• linear relationships between two variables (linear functions)
• the gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)
1.8 Solutions of equations and inequalities
Include:
• solving linear equations in one unknown (including fractional coefficients)
• solving simple inequality (e.g. 3x ≤ 5 )
• solving simple fractional equations that can be reduced to linear equations, e.g.
∗ 3
4
2
3
=

x + x
∗ 6
2
3 =
x −
• formulating a linear equation in one unknown to solve problems

 

[tableend]

 


[table width=100% border=0]
[row]

July 31, 2008, at 11:51 AM by LFS -
Added lines 3-17:
July 31, 2008, at 11:49 AM by LFS -
Added lines 1-2:


Page last modified on January 28, 2009, at 12:00 PM