Math 1-2-1 Personal Tuition -

Students will be taught simple method to approach mathematical topics.  Some examples of learning goals include but are not limited to:

Standard form - Understand and use place value (e.g. when working with very large or very small numbers) 
Calculate with and interpret standard form  and `n` is an integer 

Calculating with percentages  - Solve problems involving percentage change, including percentage increase / decrease problems 
original value problems simple interest, including in financial mathematics 

Measures - Use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate. Change freely between related standard units (e.g. time, length, area, volume / capacity, mass) and compound units (e.g. speed, rates of pay, prices, density, pressure) in numerical and algebraic contexts. Use compound units such as speed, rates of pay, unit pricing, density and pressure 

Indices -  Use positive integer powers and associated real roots (square, cube and higher). Recognise powers of 2, 3, 4, 5. Calculate with roots and with integer indices.

Simultaneous equations - Solve two simultaneous equations in two variables (linear / linear) algebraically. Find approximate solutions using a graph. Translate simple situations or procedures into algebraic expressions or formulae. Derive two simultaneous equations. Solve the equations and interpret the solution. 

Properties of polygons - Derive and use the sum of angles in a triangle (e.g. to deduce and use the angle sum in any polygon, and to derive properties of regular polygons).Derive and apply the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus and triangles and other plane figures using appropriate language 

Real life graphs - Plot and interpret graphs (including reciprocal graphs) and graphs of non-standard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration. Interpret the gradient of a straight-line graph as a rate of change 

Algebra - Understand and use the concepts and vocabulary.  Simplify and manipulate algebraic expressions (including those involving surds) by: collecting like terms, multiplying a single term over a bracket, taking out common factors. Deduce expressions to calculate the nth term of a linear sequence. Solve linear equations in one unknown algebraically including those with the unknown on both sides of the equation. Generate sequences. Find nth term of a linear sequence.

Probability -  Record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees. Apply the property that the probabilities of an exhaustive set of outcomes sum to one.  Apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one. Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities.  Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes or multiple future experiments. Relate relative expected frequencies to theoretical probability, using appropriate language and the 0 – 1 probability scale. Understand that empirical unbiased samples tend towards theoretical probability distributions with increasing sample size. Enumerate sets and combinations of sets systematically using tables, grids, Venn diagrams and tree diagrams. Calculate the probability of  independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions