Brainworks provides individualised tuition for the greatest benefit.

My Child Needs Assistance

The Foundation maths and English program is based around the requirements of the Australian schools’ curriculum and is suitable for years 2 to 10. English components include essay writing, reading comprehension and language skills. The maths program consists of core skills with an emphasis on methods and process which can then lead into problem solving.

Students are assessed at their current level of skills. An initial program is then tailored to their need. The program supports everyday schooling in maths and English and is suitable for students form years 2 to 10 requiring remediation or advancement. Foundation is term based, students can begin at any time and it is used effectively to solve many issues. For example;

-For a primary school student who is struggling with key concepts in mathematics and requires assistance in developing sound methods.

-For a primary school student preparing for NAPLAN.

-For a student who needs to develop essay writing structure, requires assistance to organise ideas and to express them well.

-For a student who has good maths skills but requires the challenge of developing problem solving skills while still developing English skills.

-For a year 10 student who is progressing into maths methods and is not gaining the marks required or is not performing to their capability. 

-For a secondary school maths student who needs to build and then maintain strong skills.

Core Maths Skills

Core Maths Skills

The Foundation curriculum covers core skills that enables students to confidently manipulate numbers, understand principles of maths and symbols. The scaffolded curriculum, a curriculum that builds upon prior knowledge, gradually builds full understanding of skills, allowing them to successfully complete their work.

Students can take risks, complete work and make errors in a totally non-judgmental and supportive environment. Their work and errors are followed up and explained, resulting in a huge boost in confidence, leading to significantly better outcomes.

Primary & Secondary Maths Curriculum

Students are assessed for their current abilities and then work through an individualised program to meet their needs. Constant guidance, teaching and feedback is given throughout their program. There is a strong emphasis on methods and processes and every piece of work completed by a student is followed up.

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|Primary School Maths Curriculum


Year Level Topics
Two Addition & subtraction
Take away
Skip counting
Telling time
Place value
Groups of 10


 Shading, comparing & writing fractions
 Grouping & trading
 Sharing
 Symbols
 Multiplication & division
 Decimals

Three Concrete addition & subtraction
Addition & subtraction
Extending place value
Skip counting
Time

 Regrouping & borrowing
 Place value & order
 Fraction size & equivalents
 Multiple addends
 Decimal fractions

Four Regrouping & borrowing
Place value & order
Fraction size & equivalents
Multiple addends
Adding fractions
Multiplication
Rounding
Decimals

 Fractions of whole numbers
 Division
 Adding & subtracting decimals
 Money
 Improper fractions & mixed numbers
 Adding mixed numbers
 Subtracting fractions with mixed numbers & borrowing
 Measurement

Five
Reducing
Further multiplication & division
Decimals to fractions
Fractions to decimals

 Operations on fractions
 Borrowing with fractions
 Measurement
Six
Reducing
Further multiplication & division
Decimals to fractions
Fractions to decimals


 Adding fractions with different denominators
 Subtracting fractions with different denominators
 Percentages, 
 Measurement

|Secondary School Maths Curriculum


Year Level Topics
Seven Decimals
Place value
Rounding
Number manipulation
Computation
Linear equations

Flowcharting
Backtracking
Formulating equations
Fractions & percentages
Operations on fractions including multiplication and division
Measurement

 Eight Directed numbers
Measurement
Algebra
Solving equations
Percentages
Index notation

Index notation
Plotting graphs
Identifying gradients and intercepts
Sketching graphs Alternative methods and processes are taught to develop broader understanding to assist with more difficult problems
 Nine Pythagoras
Sketching linear graphs using multiple methods
Solving linear equations and sketching equations in forms other than y=mx+c
Determining gradient
Determining equations

Algebraic expansion including perfect squares & difference of perfect squares
Factorisation including perfect squares & difference of perfect squares
Factorisation of quadratic functions
Solving quadratic equations
Plotting and sketching quadratic graphs
Trigonometry

 Ten Rational numbers & surds
Rationalising surds
Solving complex equations and inequations
Sketching linear inequations
Expanding complex algebraic expressions
Factorising quadratic equations including completing the square
Solving quadratic equations
Sketching quadratic functions

Quadratic formula
Determinant
Solving simultaneous equations using multiple methods
Formulating simultaneous equations
Direct, partial & inverse variation
Sketching indirect functions
Formulating quadratic equations



English Expression and Reading

Reading Comprehension & Language
Students develop skills such as making comparisons, assessing main ideas, making conclusions and drawing inferences. Language skills include vocabulary, sentence structure, punctuation and grammar.
Essay Writing

Teachers regularly sit with students to discuss ideas before and after they write. Essays are assessed each time for expression, spelling and structure. Creative and persuasive styles are part of the Foundation curriculum.

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