FaithfullyOnTheRedDot

Topic No.

Topic

Contents

Number and Algebra 

N5

Algebraic expressions and formulae

·       Recognising and representing patterns/relationships by finding an algebraic expression for the nth term

·       Changing the subject of a formula

·       Addition and subtraction of algebraic fractions with linear or quadratic denominator but this skill is still needed if a question is set to test ‘solving fractional equations that can be reduced to quadratic equations’

N7

Equations and inequalities

Solving simultaneous equations in two variables

N9

Matrices

No more questions on Matrices

Geometry and Measurement

G1

Angles, triangles and polygons

Angle sum of interior and exterior angles of any convex polygon

G2

Congruence and similarity

Determining whether two triangles are congruent

G3

Properties of circles

No more questions on properties of circles

G4

Pythagoras’ Theorem and Trigonometry

·       Extending sine and cosine to obtuse angles

·       Bearings

Statistics and Probability

S1

Data Analysis

Calculation of the standard deviation for a set of data

Topic No.

Topic

Contents

Number and Algebra

N1

Numbers and their operations

·       Approximation and estimation

·       Use of standard form A ×10ⁿ

N2

Ratio and proportion

·       Map scales (distance and area) or scale drawings

·       Direct and inverse proportion

N3

Percentage

·       Percentages greater than 100%

·       Reverse percentages

N5

Algebraic expressions and formulae

·       Factorisation of linear expressions of the form

ax + bx + kay + kby

·       Use of special products

N6

Functions and graphs

·       Graph of a set of ordered pairs as a representation of a relationship between two variables

·       The gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)

·       Graphs of quadratic functions and their properties

·       Sketching of the graphs of quadratic functions given in the various form

·       Estimating the gradient of a curve by drawing a tangent

Be prepared to be asked what the gradient represent in the real world context

N7

Equations and inequalities

·       Solving simple fractional equations that can be reduced to linear or quadratic equations

·       Solving quadratic equations using the various method: factorisation, complete square or using formula

·       Solving linear inequalities in one variable, and representing the solution on the number line

N8

Set language and notation

·       Use of set language

·       Union and intersection of two sets

·       Venn diagrams

N9

Problems in real-world contexts

·       Solving problems on real-world contexts

·       Interpreting and analysing data from tables and graphs, including distance-time and speed-time graphs

·       Interpreting the solution in the context of the problem

Geometry and Measurement

G1

Angles, triangles and polygons

·       vertically opposite angles, angles on a straight line and angels at a point

·       Angles formed by two parallel lines and a transversal: corresponding, alternate and interior angles

G2

Congruence and similarity

·       enlargement and reduction of a plane figure

·       Scale drawings

·       Ratio of areas of similar plane figures

·       Ratio of volumes of similar solids

·       Solve simple problems involving similarity and congruence

G4

Pythagoras’ theorem and trigonometry

·       Use of Pythagoras’ theorem

·       Determining whether a triangle is right-angled given the lengths of the three sides

·       Use  0.5 ab sin C for the area of any triangle

·       Use of sine and cosine rule for any triangle

·       Problems in two or three dimension including those involving angles of elevation and depression

G5

Mensuration

·       Volume and surface area of cube, cuboid, prism, cylinder, pyramid, cone and sphere

·       Problems involving volume and surface area of composite solids

·       Arc length, sector area and area of a segment of a circle

·       Use radian measures of angle (including conversion between radians and degrees)

G6

Coordinate geometry

·       Finding the gradient of a straight line given the coordinates of two points on it

·       Finding the length of a line segment given the coordinates of its end points

·       Interpreting and finding the equation of a straight line in the form y = mx + c

·       Geometric problems involving the use of coordinates

G7

Vectors in two dimensions

·       Translation by a vector

·       Position vectors

·       Magnitude of a vector

·       Use of sum and difference of two vectors to express given vectors in terms of two coplanar vectors

·       Geometric problems involving the use of vectors

Statistics and probability

S1

Data Analysis

·       analysis and interpretation of the various statistical diagrams

·       purposes and uses, advantages and disadvantages of the different forms of statistical representations

·       Explaining why a given statistical diagram leads to misinterpretation of data

·       Purpose of use of mean, mode and median

·       Quartiles and percentiles

·       Interquartile range as measures of spread for a set of data

·       Using the median and interquartile range to compare two sets of data

S2

Probability

·       Probability of simple combined events (including using possibility diagrams and tree diagrams, where appropriate)

·       Addition and multiplication of probabilities (mutually exclusive events and independent events)

Since paper 1 already tested probability of single event, should there be any question on probability, it will be probability of simple combined events