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YEAR 10

MATHEMATICS

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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 10-minute 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

Resources

Timetable

Mathematics Syllabus

Measurement


Subtopics:

  • Converting units of measurement
  • Accuracy of measuring instruments
  • Pythagoras’ theorem in three-dimensional 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


Subtopics:

  • 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 two-way tables extension
  • Mutually exclusive events and non-mutually exclusive events extension
  • Formal notation for conditional probability extension
  • Using arrays for two-step 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 time-series 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 non-monic 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




Non-Linear 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

Student name

Student name

Student name

Student name

Student name

Student name

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

Test Yourself

Topic

Max Marks

Questions

Quadratic Equations

Non-Linear

Logarithms

Simultaneous Equations

Functions 

50

50

50

50

50

10

10

10

10

10

Let's do this!

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New South Wales
Postcode: 2150
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