What Your Child Will Learn with Alex

As an experienced Year 10 Mathematics tutor, Alex strictly adheres to the official Victorian Curriculum. She ensures students master all required areas and meet the achievement standards set by the Victorian Curriculum and Assessment Authority. Here's what students will cover throughout the year:

Number and Algebra Skills

Alex will guide students through understanding the connection between simple and compound interest, applying digital technologies to financial mathematics. Students will learn to solve problems involving inverse proportion and develop algorithmic thinking through implementing data structures in programming languages. These fundamental skills establish a strong foundation for more advanced mathematics.

Algebraic Development

Students will enhance their algebraic abilities by factorising expressions with common factors, simplifying products and quotients using index laws, and applying operations to algebraic fractions. Alex will teach them to expand binomial products and factorise quadratic expressions using various strategies. Students will also substitute values into formulas, determine unknowns, and rearrange formulas—essential skills for higher mathematics.

Linear and Non-Linear Relationships

Alex will help students solve problems involving linear equations and inequalities, including graphing solutions and solving simultaneous linear equations using both algebraic and graphical techniques. Students will explore connections between algebraic and graphical representations of relations (quadratic, reciprocal, circle, and exponential) and solve problems involving gradients of parallel and perpendicular lines. They'll also tackle simple quadratic equations using various strategies.

Measurement and Geometry

Students will solve problems involving surface area and volume for prisms, cylinders, and composite solids. Alex will guide them in formulating proofs involving congruent triangles and angle properties, applying logical reasoning to proofs and numerical exercises involving plane shapes. Students will also solve right-angled triangle problems, including those involving direction and angles of elevation and depression.

Statistics and Probability

Alex will teach students to describe results of multi-step chance experiments, assign probabilities to outcomes, and investigate the concept of independence. They'll learn to interpret conditional statements accurately while avoiding common mistakes. Students will work with data representation techniques including quartiles, interquartile range, box plots, scatter plots, and bivariate numerical data. Additionally, they'll evaluate statistical reports in media by linking claims to displays and representative data.