What Your Child Will Learn with Alex

Unit 1

Alex's Unit 1 General Math tutoring focuses on practical applications of data analysis, algebra, linear functions, and matrices.

Data Analysis: Exploring and comparing data distributions using various displays (histograms, stem plots, box plots), summary statistics (median, range, IQR, mean, standard deviation), and understanding categorical vs. numerical data.

Algebra: Sequences, arithmetic and geometric series, first-order linear recurrence relations, and their application to financial mathematics.

Linear Functions: Graphing and analysing linear functions and relations, solving linear equations and simultaneous equations, and applying them to real-world models.

Matrices: Introduction to matrices and matrix operations (addition, subtraction, scalar multiplication, matrix multiplication) for organising and solving problems.

Unit 2

Unit 2 with Alex builds on Unit 1, covering association between variables, graph theory, non-linear relationships, and measurement.

Data Analysis: Investigating associations between numerical variables using scatterplots and lines of best fit, understanding correlation and causation.

Graphs & Networks: Using graphs and networks to model and solve practical problems, including concepts like connectedness, shortest paths, and minimum spanning trees.

Non-linear Relationships: Exploring direct and inverse variation, transforming data to linearity, and modelling non-linear data.

Measurement: Units of measurement, accuracy, calculations with formulas for different measures, similarity, scale, trigonometry, and applications to navigation and problem-solving.

Alex's tutoring provides a solid foundation in essential mathematical concepts, emphasising their relevance to everyday situations and preparing students for Units 3 & 4.