## Sg.Sec2 History

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- ax^2+bx+c Whole number factorisation of x^2+bx+c

- ax^2+bx+c Whole number factorisation of x^2+bx+c

- ax^2+bx+c

- ax^2+bx+c Whole number factorisation of x^2+bx+c

- (a \pm b)^2=a^2 \pm 2ab+b^2 InterActivity

- (a \pm b)^2=a^2 \pm 2ab+b^2 InterActivity

- formulating a pair of linear equations in two unknowns or a quadratic equation in one unknown to solve problems Complete InterActivity for the "Boat in the River Current - 2x2 Linear System

- formulating a pair of linear equations in two unknowns or a quadratic equation in one unknown to solve problems Complete InterActivity for the "Boat in the River Current - 2x2 Linear System

- probability as a measure of chance Spinner345
- probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability) DiceDifference, 4Balls2Boxes, 6Balls3Boxes

- probability as a measure of chance Spinner345
- probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability) DiceDifference, 4Balls2Boxes, 6Balls3Boxes

- (a \pm b)^2=a^2 \pm 2ab+b^2

- (a \pm b)^2=a^2 \pm 2ab+b^2 InterActivity

- formulating a pair of linear equations in two unknowns or a quadratic equation in one unknown to solve problems Complete InterActivity for the "Boat in the River Current - 2x2 Linear System

- probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability) DiceDifference, 4Balls2Boxes, 6Balls2Boxes?

- probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability) DiceDifference, 4Balls2Boxes, 6Balls3Boxes

- substitution and elimination methods

- probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability) DiceDifference, 4Balls2Boxes, InterA6Balls2Boxes?

- probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability) DiceDifference, 4Balls2Boxes, 6Balls2Boxes?

[!]Topic/Sub-topic

[! width=270]Topic/Sub-topic

- union and intersection of two sets

- union and intersection of two sets
- Venn diagrams

[]Include:

- none

[]Include: none

[]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.

[]Include: none

[tableend]

[table width=100% border=0]

[]3.2 Data Analysis

[]Include:

- interpretation and analysis of:
- dot diagrams
- stem-and-leaf diagrams

- mean, mode and median as averages
- purposes and use of mean, mode and median
- calculation of the mean for grouped data

[]

[row]

[]3.3 Probability

[]Include:

- probability as a measure of chance Spinner345
- probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability) DiceDifference, 4Balls2Boxes, InterA6Balls2Boxes?

[]

[tableend]

[table width=100% border=0]

[row]

[tableend]

[]2.3 Mensuration

[]2.3 Pythagoras' theorem

- 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

- use of Pythagoras’ theorem
- determining whether a triangle is right-angled given the lengths of three sides

[ colspan=3]3 Statistics and Probability

[row]

[]3.1 Data handling

[]2.4 Mensuration

- volume and surface area of pyramid, cone and sphere

[]

[row]

[ colspan=3]3 Statistics and Probability

[row]

[]3.1 Data handling

[]Include:

[table border=1 cellpadding=3]

[table border=0 cellpadding=3]

[] A \vee B

[] A \cap B

Exclude:

- use of

- use of n(A \cup B) = n(A) + n(B) - n(A \cap B)

[]Include:none

[row]

[]2.2 Congruence and similarity

- 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

- congruent figures as figures that are identical in shape and size
- matching sides and angles of two congruent polygons
- similar figures as figures that have the same shape but different sizes
- properties of similar polygons:
- corresponding angles are equal
- corresponding sides are proportional

- enlargement and reduction of a plane figure by a scale factor
- scale drawings
- solving simple problems involving similarity and congruence

[]2.2 Mensuration

[]2.3 Mensuration

[]

[] \emptyset

[]A B

[]A \subseteq B

[]A B

[]A \subset B

[]A B

[] A \not\subseteq B

[]A B

[] A \not\subset B

[ 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

[]Union of A and B

[] A \cup B

[]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

[]

[]Intersection of A and B

[] A \vee B

[ colspan=3]3 Statistics and Probability

[]Number of elements in set A

[] n(A)

[]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]

[]“… is an element of …”

[] \in

- 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.
- {x \over 3}+{x-2 \over 4}=3
- {3 \over x-2}=6

- formulating a linear equation in one unknown to solve problems

- solving simultaneous linear equations in two unknowns by
- substitution and elimination methods
- graphical method

- solving quadratic equations in one unknown by factorisation
- formulating a pair of linear equations in two unknowns or a quadratic equation in one unknown to solve problems?

[]Include:

- none

[]Include: none

[]Include:

- none

[]Include: none

[]Include:

- none

[]Include: none

- 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)

- graphs of linear equations in two unknowns
- graphs of quadratic functions and their properties?
- positive or negative coefficient of x^2
- maximum and minimum points
- symmetry