YEAR 9
MATHEMATICS
Our Objective
The year 9 Mathematics program at Cosmos aims at helping students build Mathematical concepts by providing them with the ultimate combination of our interactive lectures, study material, quizzes, worksheets and continuous formative assessments. Students learn the entire year 9 syllabus as per the latest NSW curriculum in full depth as well as selected chapters from the year 8 syllabus. 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
Computation and Financial Mathematics
Subtopics:

Computation with integers 
Decimal places and signiﬁ cant ﬁgures 
Rational numbers 
Computation with fractions 
Ratios, rates and best buys 
Computation with percentages and money 
Percentage increase and decrease 
Proﬁts and discounts REVISION 
Income 
Simple interest 
Compound interest and depreciation 
Using a formula for compound interest and depreciation
Expressions, Equations and Inequalities

Algebraic expressions 
Simplifying algebraic expressions 
Expanding algebraic expressions 
Linear equations with pronumerals on one side 
Linear equations with brackets and pronumerals on both sides 
Using linear equations to solve problems 
Linear inequalities 119 2H Using formulas 
Linear simultaneous equations: substitution 
Linear simultaneous equations: elimination 
Using linear simultaneous equations to solve problems 
Quadratic equations of the form ax2 = c
Rightangled Triangles
 Pythagoras’ theorem

Finding the shorter sides 
Using Pythagoras’ theorem to solve twodimensional problems 
Using Pythagoras’ theorem to solve threedimensional problems 
Introducing the trigonometric ratios 
Finding unknown sides 
Solving for the denominator 
Finding unknown angles 
Using trigonometry to solve problems 
Bearings
Linear Relationships
Subtopics:

Introducing linear relationships 
Graphing straight lines using intercepts 
Lines with only one intercept 
Gradient 
Gradient and direct proportion 
Gradient–intercept form 
Finding the equation of a line using y = mx + b 
Midpoint and length of a line segment from diagrams 
Perpendicular lines and parallel lines 
Linear modelling FRINGE 
Graphical solutions to linear simultaneous equations
Length, area, surface area and volume
Subtopics:

Length and perimeter 
Circumference and perimeter of sectors 
Area REVISION 
Perimeter and area of composite shapes 
Surface area of prisms and pyramids 
Surface area of cylinders 
Volume of prisms 
Volume of cylinders
Indices and Surds
Subtopics:

Index notation 
Index laws for multiplying and dividing 
The zero index and power of a power 
ndex laws extended 
Negative indices 
Scientiﬁ c notation 
Scientiﬁ c notation using signiﬁ cant ﬁgures 
Fractional indices and surds 
Simple operations with surds
Properties of geometrical figures
Subtopics:

Angles and triangles 
Parallel lines 
Quadrilaterals and other polygons 
Congruent triangles REVISION 
Using congruence in proof 
Enlargement and similar ﬁgures 
Similar triangles 
Proving and applying similar triangles
Quadratic Expressions and Algebraic Fractions
Subtopics:

Expanding binomial products 
Perfect squares and the difference of two squares 
Factorising algebraic expressions 
Factorising the difference of two squares 
Factorising by grouping in pairs 
Factorising monic quadratic trinomials 
Factorising nonmonic quadratic trinomials 
Simplifying algebraic fractions: multiplication and division 
Simplifying algebraic fractions: addition and subtraction 
Further addition and subtraction of algebraic fractions 
Equations involving algebraic fractions
Probability and Single Variable Statistics
Subtopics:

Probability review REVISION 
Venn diagrams and twoway tables 
Using set notation FRINGE 
Using arrays for twostep experiments 
Using tree diagrams 
Using relative frequencies to estimate probabilities 
Measures of centre: mean, median and mode 
Stemandleaf plots 
Grouping data into classes 
Measures of spread: range and interquartile range 
Box plots
Quadratic Expressions and Graphs of Parabolas
Subtopics:

Quadratic equations 
Solving ax2 + bx = 0 and x 2 – d 2 = 0 by factorising 
Solving x2 + bx + c = 0 by factorising 
Using quadratic equations to solve problems 
The parabola 624 10F Sketching y = ax2 with dilations and reﬂections 
Translations of y = x2 
Sketching parabolas using intercept form
Our Students'
Results
Math
Science
Alex C.
Gabriel R.
Mike S.
Brad T.
Alvin L.
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.
Anu Sharma
Steven John
Tom H.