Understanding basic concepts of probability and calculating probabilities from experimental data, or for outcomes of random events.
Interpreting and Constructing diagrams relating to probability including sample spaces and Venn diagrams.
Correct use of Set Theory notation to discuss experiments and data.
Main Syllabus points covered: 1.1, 1.2, 1.3, 1.8, 3.5
Graphical representation of data
Defining and recognising the 4 types of data and the appropriate methods of representing this data.
Interpreting, analysing and constructing pie charts, bar charts, line plots, histograms and stem & leaf plots.
Main Syllabus points covered: 1.4, 1.6, 1.7, 1.8
Synthetic Geometry: Axioms & Theorums
Understanding the definition and meaning of ‘Axiom’, ‘Theorem’ (and ‘proof’ for HL students).
Overview of Geometric Axioms and Theorems, and how to apply these to solve problems involving 2D shapes, intersecting lines and angles.
Main Syllabus points covered: 2.1
Deriving Pythagoras Theorem and using to solve problems involving right-angled triangles.
Understanding Trigonometric ratios and using the to solve problems involving angles 0-90 degrees
Main Syllabus points covered: 2.1, 2.3
Co-ordinate & Transformation Geometry
Understanding and ploting lines on graphs in form of y=mx+c & y-y1+m(x-x1)
Finding intersection point of two lines
FInding the slope of parallel and perpendicular lines
Recognising axis of symmetry for basic shapes on y/x axis
Main Syllabus points covered: 2.2, 2.4
Defining and understanding the different number sets (Natural, Integers, Rational, Real & Irrational)
Expressing numbers as a product of Prime factors.
Use the equivalence of fractions, decimals and percentages to compare proportions.
Justifying approximations and estimations of results.
Main Syllabus points: 3.1
Algebraic expressions (including arithmetic sequences)
Understanding Arithmetic operations of addition and & subtraction on a range of algebraic expressions including fractions and quadratic terms.
Recognising arithmetic series and forming expressions for given arithmetic patterns
Main Syllabus points covered: 4.1,4.6
Algebraic expressions and equations
Multiplication and Division of algebraic expressions
Factorisation of expressions.
Solving algebraic linear equations
Solving algebraic quadratic equations using factorisation and quadratic formula.
Main Syllabus points covered: 4.6,4.7,4.8
Extended overview of Set Theory notation and terms (covered partly in lesson 1)
Construction and interpretation of Venn Diagrams to represent data
Correct use of Set Theory notations and terms to analyse and evaluate data.
Main Syllabus points covered: 3.5
Basic understanding and use of inequality symbols
Solving algebraic inequalities
Applying and interpreting inequalities in real life situations.
Main Syllabus points covered: 4.6, 4.7
Applied Maths: Distance, Speed & Time
Use of formula and graphs to model real-life situations and solve problems involving Speed, time and distance.
Applying relevant algebraic and Co-ordinate Geometry skills and knowledge to solve problems (i.e. re-arranging and solving equations, gradients and y-intercept)
Main Syllabus points covered 3.4
Applied Maths: Money and Finance
Understanding how to solve problems and make value for money judgements involving mobile phone tarriffs, currency transactions, VAT and energy bills and tariffs.
Solve problems involving profit, loss & margin
Calculating compound interest
Calculating income tax and net pay
Main Syllabus points covered: 3.3
Using and applying rules for indices in addition, subtraction, multiplication and division
Expressing large numbers in standard form (a x 10x)
Advanced indices rules for HL students (including a0, a1/q & a-q)
Main Syllabus points covered: 3.2
Sequences & Series
Generating Arithmetic expressions from repeating patterns
Representing patterns with tables, diagrams and graphs.
Finding Formulae to model patterns (Arithmetic & Quadratic)
Main Syllabus points covered: 4.1,4.2,4.3
Graphing linear functions
Understanding and using relevant notation for functions and graphs on y/x axes.
Drawing and interpreting simple linear functions and solving problems involving these functions and graphs.
Graphing solution sets for linear equalities on number line.
Finding approximate solutions from graphs where f(x)=g(x)
Main Syllabus points: 5.1,5.2
Graphing Quadratic Functions
Graphing quadratic functions and solving problems and equations involving quadratic functions.
Finding minimum and maximum values of quadratic functions from graph
Graphing simple exponential functions
Main syllabus points: 5.2