YEAR 10
MATHEMATICS
Our Objective
The year 10 Mathematics program at Cosmos aims at helping students choose higher Math units like advanced and extension in their next year by developing their skills in Mathematics by providing them with the ultimate combination of our interactive lectures, study material, quizzes, worksheets and continuous formative assessments. Students learn the entire year 10 Mathematics syllabus as per the latest NSW curriculum in full depth. Students need to attend two classes every week along with an optional doubt clearing and extra practice class every Sunday. Each class is 2 hours long with a 10minute break in between. Students are motivated to keep their assessments up to date on google classroom and parents receive report cards every term containing detailed statistics of their children's test scores. Students can ask our teachers to help them personally with their school homework before/after class hours.
Weekly Course Schedule
Mathematics Syllabus
Measurement
Subtopics:

Converting units of measurement 
Accuracy of measuring instruments 
Pythagoras’ theorem in threedimensional problems 
Area of triangles, quadrilaterals, circles and sectors revision 
Surface area of prisms and cylinders 
Surface area of pyramids and cones 
Volume of prisms and cylinders 
Volume of pyramids and cones 
Volume and surface area of spheres
Indices and Surds

Rational numbers and irrational numbers 
Adding and subtracting surds 
Multiplying and dividing surds 
Binomial products 
Rationalising the denominator 
Review of index laws revision 
Negative indices revision 
Scientific notation revision 
Fractional indices 
Exponential equations 
Exponential growth and decay fringe
Probability
 Review of probability revision

Formal notation for Venn diagrams and twoway tables extension 
Mutually exclusive events and nonmutually exclusive events extension 
Formal notation for conditional probability extension 
Using arrays for twostep experiments 
Using tree diagrams 
Dependent events and independent events
Single variable and bivariate statistics
Subtopicss:

Collecting, using and misusing statistical data 
Review of data displays revision 
Summary statistics 
Box plots 
Standard deviation 
Displaying and analysing timeseries data 
Bivariate data and scatter plots 
Line of best fit by eye 
Linear regression with technology
Expressions, equations and linear relationships
Subtopics:

Review of algebra revision 
Algebraic fractions revision 
Solving linear equations revision 
Linear inequalities 
Graphing straight lines 
Finding the equation of a line 
Using formulas for distance and midpoint 
Parallel lines and perpendicular lines 
Solving simultaneous equations using substitution 
Solving simultaneous equations using elimination 
Further applications of simultaneous equations 
Regions on the Cartesian plane extension
Geometrical figures and Circle Geometry
Subtopics:

Review of geometry revision 
Congruent triangles revision 
Using congruence to investigate quadrilaterals 
Similar figures 
Proving and applying similar triangles 
Circle terminology and chord properties 
Angle properties of circles 
Further angle properties of circles 
Theorems involving tangents 
Intersecting chords, secants and tangents
Trigonometry
 Trigonometric ratios

Finding unknown angles 
Applications in two dimensions 
Directions and bearings 
Applications in three dimensions 
Obtuse angles and exact values 
The sine rule 
The cosine rule 
Area of a triangle 
The four quadrants 
Graphs of trigonometric functions
Quadratic Expressions
 Expanding expressions revision

Factorising expressions 
Factorising monic quadratic trinomials 
Factorising nonmonic quadratic trinomials 
Factorising by completing the square 
Solving quadratic equations by factorising 
Using quadratic equations to solve problems 
Solving quadratic equations by completing the square 
Solving quadratic equations with the quadratic formula
NonLinear Relationships, Functions and Graphs
 Exploring parabolas

Sketching parabolas using transformations 
Sketching parabolas using factorisation 
Sketching parabolas by completing the square 
Sketching parabolas using the quadratic formula and the discriminant 
Applications of parabolas 
Lines and parabolas 
Functions and their notation 
Graphs of circles 
Exponential functions and their graphs 
Hyperbolic functions and their graphs 
Cubic equations, functions and graphs 
Further transformations of graphs 
Using graphs to describe change 
Inverse functions
Logarithms and Polynomials
 Introducing logarithms

Logarithmic graphs 
Laws of logarithms 
Solving equations using logarithms 
Polynomials 
Expanding and simplifying polynomials 
Dividing polynomials 
Remainder theorem and factor theorem 
Factorising polynomials to find zeros 
Graphs of polynomials
Our Students'
Results
Math
Science
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Math
Science
Satish Kumar
Great experience. Maths teacher Ganesh was very helpful. he spent several hours with my son personally when he was struggling with linear equations and made him very good in that topic. Definitely recommend especially for Maths.
Dave Stephenson
Enrolled my 2 kids in year 7 class. Was unsure about how they will find it as previous experience with other tutoring centers wasn't very good. However, the atmosphere at Cosmos is pretty chill. They take it gently with the students. My kids really enjoy the classes and the Sunday quiz competitions.
Andrew Anthony
Happy with the tutoring. Lots of study material and homework. Sai is very easy to contact and he uploaded more material many times when I requested it for my daughter. Weekend tests have good difficulty and test students understanding slightly beyond their syllabus.
Akshita Kulkarni
Excellent Maths and Science tutoring for high school. will recommend to all for school preparation.
Sai helped my child catch up with the missed syllabus as he joined late. Really grateful. Didn't charge any extra fee although he helped my son one on one after class.
What
Parents Say
Very pleased with the tutoring. My kid's marks improved drastically in just a couple of months. Sai and Shariq were extremely helpful. This was the first time that my son was interested to attend tutoring.