Tutoring mathematics for Year 10 students involves guiding them through a diverse range of topics, helping them build a strong foundation, and fostering problem-solving skills. Let’s delve into each of these areas:

**Financial Mathematics**:

- Teach concepts like interest rates, compound interest, and simple interest.
- Explore financial planning, budgeting, and investment strategies.
- Discuss loans, mortgages, and credit card interest.

**Measurement**:

- Cover units of measurement (e.g., meters, centimeters, liters, grams).
- Practice converting between units.
- Explore area, volume, and surface area calculations.

**Algebraic Expressions**:

- Introduce algebraic notation and terminology.
- Teach how to simplify expressions, factorize, and expand.
- Solve linear equations and inequalities.

**Linear Relationships**:

- Understand the concept of linear functions.
- Explore slope, intercepts, and graphing linear equations.
- Solve real-world problems involving linear relationships.

**Properties of Geometrical Figures**:

- Discuss properties of polygons (e.g., triangles, quadrilaterals).
- Explore angles, congruence, and similarity.
- Investigate theorems related to circles.

**Right-Angled Triangles**:

- Apply the Pythagorean theorem.
- Explore trigonometric ratios (sine, cosine, tangent).
- Solve problems involving right triangles.

**Equations, Formulas, and Inequalities**:

- Teach students to translate word problems into equations.
- Explore quadratic equations and inequalities.
- Apply formulas to solve practical problems.

**Quadratic Expressions and Equations**:

- Understand quadratic functions and their graphs.
- Solve quadratic equations using factoring, completing the square, or the quadratic formula.
- Explore the discriminant.

**Indices and Surds**:

- Introduce laws of indices.
- Simplify expressions with surds (square roots, cube roots).
- Solve problems involving fractional indices.

**Probability**:

- Define probability and explore its applications.
- Calculate probabilities of events.
- Understand conditional probability.

**Single Variable and Bivariate Statistics**:

- Introduce descriptive statistics (mean, median, mode, range).
- Explore scatter plots, correlation, and regression.
- Interpret statistical data.

**Circle Geometry**:

- Investigate angles in circles (central angles, inscribed angles).
- Explore arc length and sector area.
- Solve problems involving circles.

**Trigonometry**:

- Extend trigonometric concepts to non-right-angled triangles.
- Solve problems involving bearings, angles of elevation, and depression.
- Explore the unit circle.

**Non-Linear Relationships, Functions, and Their Graphs**:

- Introduce exponential and logarithmic functions.
- Explore quadratic, cubic, and other polynomial functions.
- Analyze graphs and transformations.

**Logarithms**:

- Define logarithmic functions and properties.
- Solve logarithmic equations.
- Explore applications in science and engineering.

**Polynomials**:

- Understand polynomial expressions and their degree.
- Factorize polynomials.
- Explore long division of polynomials.

Remember, personalised attention, practical examples, and interactive problem-solving are key to effective tutoring. Doctor Amir tutoring explores real-world applications, and building confidence in student's mathematical abilities!

**SUMMARY OF TOPICS**

- Financial mathematics
- Measurement
- Algebraic expressions
- Linear relationships
- Properties of geometrical figures
- Right-angled triangles
- Equations, formulas and inequalities
- Quadratic expressions, quadratic equations
- Indices and surds
- Probability
- Single variable and bivariate statistics
- Circle geometry
- Trigonometry
- Non-linear relationships, functions and their graphs
- Logarithms
- Polynomials

As well as consulting and managing many complex industrial projects, Dr Amir has extensive experience in teaching and learning from teaching at university level to Registered Training Organisations (RTOs) to one-on-one, face-to-face high school tutoring, in Mathematics , Physics, Chemistry and Software Design and Development. Dr Amir has been tutoring students from year 3 to university level.

You may choose various packages on online Math tutoring including LIVE Math sessions. The materials presented are based on Dr Amir's knowledge, experience and Dr Amir's pedagogy.

Dr Amir Mathematics Tutoring Video 101: Linear Equations

Dr Amir accomplished his PhD from the University of New South Wales (UNSW) in the state-of-the-art technology used in rocket science that requires advanced mathematics, physics, chemistry and computational modelling. Dr Amir achieved High Distinction in all his PhD subjects at UNSW. Parent(s)/guardian(s) can make the Mathematics tutoring bookings based on Dr Amir's availability on online one-on-one sessions or choose an online group session.

Dr Amir Math Tutoring (WhatsApp)#### Dr Amir Mathematics tutoring Year 10

Sydney, New South Wales, Australia

Dr Amir Mathematics Tutoring: +61403309213

Dr Amir considers assessments as an integral part of training in Year 10 mathematics tutoring.

Copyright © 2024 Dr Amir - All Rights Reserved.

Powered by GoDaddy