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YEAR 8

MATHEMATICS

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Our Objective

The year 8 Mathematics program at Cosmos aims at developing on the fundamental concepts learnt by students in year 7 by providing them with tips and tricks to solve problems more efficiently. Students will be provided with the ultimate combination of our interactive lectures, study material, quizzes, worksheets and continuous formative assessments. They will learn the entire year 8 syllabus as per the latest NSW curriculum in full depth as well as selected chapters from the year 9 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 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

Ratios and Rates


Subtopics:

  • Ratio
  • Equivalent ratios
  • Problem solving
  • The unitary method
  • Dividing a quantity in a given ratio
  • Rates
  • Scale drawing




Congruence


Subtopics:

  • Congruent figures
  • Congruency tests
  • Applying congruency tests
  • Properties of triangles and quadrilaterals




Number operations and index laws


  • Index notation
  • Multiplying numbers with the same base
  • Raising a number to a power
  • Dividing numbers with the same base
  • The zero index




Perimeter, area and capacity


Subtopicss:

  • Area and perimeter review
  • Area and perimeter
  • Formulas for area
  • Area of special quadrilaterals
  • Area and perimeter
  • Converting area units
  • Volume and capacity




Time


Subtopics:

  • Analogue clocks review
  • Digital displays review
  • 24-hour time review
  • Solving time problems
  • Using a calculator
  • Calendars
  • Using timetables and charts
  • Time zones




Percentages


Subtopics:

  • Percentages review
  • Percentage symbol
  • Percentages of quantities
  • Percentage change
  • Comparing percentages
  • Calculating percentage change
  • The unitary method
  • Profit and loss
  • Goods and services tax (GST)




Circles and cylinders


Subtopics:

  • Parts of a circle
  • Circumference of a circle
  • The value of pi (π) using hexagons
  • Finding the diameter and radius from the circumference
  • Area of a circle
  • How to calculate volume
  • Volume of a cylinder




Data collection and analysis


Subtopics:

  • Variables
  • Collecting data
  • Selecting random samples
  • Obtaining data through sampling
  • Data constraints
  • Bias in samples
  • Review of measures of central tendency
  • Clusters, gaps and outliers
  • Using measures of central tendency
  • Comparing sample summary statistics
  • Variation of sample mean and proportion




Pythagoras’ theorem


Subtopics:

  • Right-angled triangles
  • Pythagoras’ rule or theorem
  • Converse of Pythagoras’ theorem
  • Pythagorean triads .
  • Using Pythagoras’ theorem to find the hypotenuse
  • Using Pythagoras’ theorem to find the shorter sides .
  • Problem solving using Pythagoras’ theorem
  • Square numbers
  • Simple quadratic equations




Algebra


Subtopics:

  • Adding and subtracting algebraic terms
  • Multiplying of algebraic terms
  • Dividing algebraic terms
  • The distributive law
  • Removing grouping symbols
  • Highest common factor
  • Factorising algebraic expressions
  • Word problems




Probability and Venn diagrams


Subtopics:

  • Probability review
  • Sum of probabilities
  • Identifying complements of events
  • Sum of probabilities of complementary events
  • Probabilities of complements of events
  • Mutually exclusive events
  • Compound events
  • Venn diagrams
  • Two-way tables




Linear equations


  • Equations
  • Backtracking
  • Maintaining balance
  • One-to-one matching of terms
  • Equations with pronumerals on both sides
  • Equations with grouping symbols
  • Substituting into a formula (extension)
  • Problem solving (extension)




Coordinate geometry and straight lines


  • Number plane review
  • Number patterns
  • Building patterns
  • Graphing data
  • Sketching graphs
  • Graphics calculator
  • Straight-line graphs
  • Linear relationships
  • Comparing equations
  • Intersecting lines




Triangles and quadrilaterals


  • Notation review
  • Constructing triangles
  • Classifying triangles
  • Sum of the angles of a triangle
  • Angle sum of a triangle
  • Equilateral triangles
  • Isosceles triangles
  • Properties of equilateral and isosceles triangles
  • Exterior angle of a triangle
  • Exterior angle of a triangle
  • Convex and concave quadrilaterals
  • Properties of special quadrilaterals





Our Students'

Results

Math

Science

Arjun S.

Aryan A.

Priyanka J.

Esei F.

Sai Srinivasan V.

Ashok R.

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.

Anu Sharma

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. 

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.

Steven John

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

Test Yourself

Topic

Max Marks

Linear Equations

Percentages

Pythagoras Theorem

Ratios and Rates

Index laws

50

50

50

50

50

Questions

10

10

10

10

10

Let's do this!

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Postcode: 2150
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0451 830 169
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