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YEAR 7

MATHEMATICS

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Our Objective

The year 7 Mathematics program at Cosmos aims at helping students build fundamental 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 7 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 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

Computation with Positive Integers


Subtopics:

  • Place value in ancient number systems
  • Place value in Hindu-Arabic numbers
  • Adding and subtracting positive integers
  • Algorithms for adding and subtracting
  • Multiplying small positive integers
  • Multiplying large positive integers
  • Dividing positive integers and dealing with remainders
  • Estimating and rounding positive integers
  • IOrder of operations with positive integers
Review:
  • Chapter summary
  • Multiple-choice questions
  • Short-answer questions
  • Extended-response questions




Angle Relationships


Subtopics:

  • Points, lines, intervals and angles
  • Measuring and classifying angles
  • Adjacent angles and vertically opposite angles
  • Transversal lines and parallel lines
  • Solving geometry problems
  • Circles and constructions with ruler and compasses
  • Constructions with dynamic geometry software
Review:
  • Chapter summary
  • Multiple-choice questions
  • Short-answer questions
  • Extended-response questions




Computation with positive and negative integers


A Working with negative integers B Adding or subtracting a positive integer C Adding or subtracting a negative integer D Multiplying or dividing by an integer E Order of operations with positive and negative integers F The Cartesian plane Review: Chapter summary Multiple-choice questions Short-answer questions Extended-response questions




Understanding fractions, decimals and percentages


Subtopics:

  • Factors and multiples
  • Highest common factor and lowest common multiple
  • What are fractions?
  • Equivalent fractions and simplified fractions
  • Mixed numerals and improper fractions
  • Ordering positive and negative fractions
  • Place value in decimals and ordering decimals
  • Rounding decimals
  • Decimal and fraction conversions
  • Connecting percentages with fractions and decimals
  • Decimal and percentage conversions
  • Fraction and percentage conversions
  • Percentage of a quantity
  • Using fractions and percentages to compare two quantities
Review:
  • Chapter summary
  • Multiple-choice questions
  • Short-answer questions
  • Extended-response questions




Probability


Subtopics:

  • Describing probability
  • Theoretical probability in single-step experiment
  • Experimental probability in single-step experiments
  • Compound events in single-step experiments
  • Venn diagrams and two-way tables
  • Probability in two-step experiments
Review:
  • Chapter summary
  • Multiple-choice questions
  • Short-answer questions
  • Extended-response questions




Computation with decimals and fractions


Subtopics: A Adding and subtracting decimals B Adding fractions C Subtracting fractions D Multiplying fractions E Multiplying and dividing decimals by 10, 100, 1000 etc. F Multiplying by a decimal G Dividing fractions H Dividing decimals I Computation with negative fractions Review: Chapter summary Multiple-choice questions Short-answer questions Extended-response questions




Time


Subtopics:

  • Units of time
  • Working with time
  • Using time zones
Review:
  • Chapter summary
  • Multiple-choice questions
  • Short-answer questions
  • Extended-response question




Algebraic techniques 1


Subtopics: A Introduction to formal algebra B Substituting positive numbers into algebraic expressions C Equivalent algebraic expressions D Like terms E Multiplying, dividing and mixed operations F Expanding brackets G Applying algebra H Substitution involving negative numbers and mixed operations I Number patterns J Spatial patterns K Tables and rules L The Cartesian plane and graphs Review: Chapter summary Multiple-choice questions Short-answer questions Extended-response questions




Equations 1


Subtopics:

  • Introduction to equations
  • Solving equations by inspection
  • Equivalent equations
  • Solving equations systematically
  • Equations with fractions
  • Equations with brackets
  • Formulas and relationships
  • Using equations to solve problems
Review:
  • Chapter summary
  • Multiple-choice questions
  • Short-answer questions
  • Extended-response questions




Measurement and computation of length, perimeter and area


Subtopics:

  • Measurement systems of the past and present
  • Using and converting units of length
  • Perimeter of rectilinear fi gures
  • Pi and circumference of circles
  • Arc length and perimeter of sectors and composite figures
  • Units of area and area of rectangles
  • Area of triangles
  • Area of parallelograms
  • Area of composite fi gures
  • Mass and temperature
Review:
  • Chapter summary
  • Multiple-choice questions
  • Short-answer questions
  • Extended-response questions




Introducing Indices


Subtopics:

  • Divisibility tests
  • Prime numbers
  • Using indices
  • Prime decomposition
  • Squares, square roots, cubes and cube roots
  • The zero index and index laws
Review:
  • Chapter summary
  • Multiple-choice questions
  • Short-answer questions
  • Extended-response question





What

Parents Say

Our Students'

Final Exam Results

Math

Science

Alejandro c.

Kritik P.

Harsh D.

Keisha S.

Arsalan P.

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.

Harry P.

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. 

Mental math Tricks

Test Yourself

Topic

Max Marks

Angles

Fractions

Probability

Algebraic Techniques

Index laws

50

50

50

50

50

Questions

10

10

10

10

10

Let's do this!

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