In Year 9 mathematics tutoring. Dr Amir's goal is to empower students with a solid understanding of these concepts, fostering their mathematical confidence and problem-solving abilities.

**Integers, Decimals, Fractions, Ratios, and Rates**:

- Ensure students grasp the fundamentals of integers (positive and negative whole numbers), decimals, and fractions.
- Teach them how to convert between these forms and apply them in real-world scenarios.
- Explore ratios (such as speed ratios) and rates (e.g., unit rates for grocery shopping).

**Financial Mathematics**:

- Introduce concepts like simple interest, compound interest, and financial planning.
- Help students calculate interest, understand investments, and make informed financial decisions.

**Expressions and Equations**:

- Cover algebraic expressions, including simplification, expansion, and factorization.
- Teach students to solve linear equations and inequalities.
- Explore word problems involving expressions and equations.

**Right-Angled Triangles**:

- Dive into trigonometry, focusing on sine, cosine, and tangent ratios.
- Explore the Pythagorean theorem and its applications.
- Discuss special right triangles (30-60-90 and 45-45-90).

**Linear Relationships**:

- Help students understand linear functions, slopes, and intercepts.
- Teach them to graph linear equations and interpret slope as a rate of change.
- Explore direct variation and inverse variation.

**Length, Area, Surface Area, and Volume**:

- Cover measurement units, conversions, and formulas.
- Explore area and perimeter of 2D shapes (rectangles, triangles, circles).
- Discuss volume and surface area of 3D objects (cylinders, prisms, spheres).

**Indices**:

- Teach students the rules of indices (exponents).
- Explore scientific notation and its applications.

**Surds**:

- Introduce irrational numbers expressed as square roots (surds).
- Teach simplification, addition, and multiplication of surds.

**Properties of Geometrical Figures**:

- Discuss properties of polygons (angles, sides, diagonals).
- Explore symmetry, congruence, and similarity.

**Quadratic Expressions**:

- Cover quadratic functions and their graphs.
- Teach students to factor quadratic expressions.
- Explore completing the square and the quadratic formula.

**Quadratic Equations and Graphs of Parabolas**:

- Solve quadratic equations using various methods (factoring, completing the square, quadratic formula).
- Discuss the vertex form of a parabola and its graph.

**Algebraic Fractions**:

- Explore rational expressions and algebraic fractions.
- Teach simplification, addition, subtraction, multiplication, and division of algebraic fractions.

**Probability**:

- Introduce basic probability concepts (sample space, events, outcomes).
- Calculate probabilities and explore conditional probability.

**Single Variable Data Analysis**:

- Teach students to organize and analyze data using measures of central tendency (mean, median, mode).
- Introduce box plots and scatter plots.

**Inequalities**:

- Solve linear inequalities and graph their solutions.
- Explore compound inequalities and interval notation.

Remember to engage students through practical examples, visual aids, and interactive activities. Encourage critical thinking and problem-solving skills, and celebrate their progress as they master these mathematical concepts!

**SUMMARY OF TOPICS**

- Integers, decimals, fractions, ratios and rates
- Financial mathematics
- Expressions and equations
- Right-angled triangles
- Linear relationships
- Length, area, surface area and volume
- Indices
- Surds
- Properties of geometrical figures
- Quadratic expressions
- Quadratic equations and graphs of parabolas
- Algebraic fractions
- Probability
- Single variable data analysis
- Inequalities

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 considers assessments as an integral part of training in Year 9 mathematics tutoring.

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 9

Sydney, New South Wales, Australia

Dr Amir Mathematics Tutoring: +61403309213

Copyright © 2024 Dr Amir - All Rights Reserved.

Powered by GoDaddy