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.
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.
I just wanted to drop you a little note to say, “You were right!”
When we last spoke you said to me that you’d brought Cameron’s maths skills up to end of Yr 5 level (he’s currently in Yr 4), and Miranda’s up to end of Yr 2 level. Well yesterday I received their school reports which were both outstanding. Cameron was assessed as top of his class for maths and they’d ticked the box stating that he was performing “well above standard” and at end of Year 5 level. According to the school, Miranda is right on track for her Year level, Yr 2. So, there you go…. These grades are exactly as you had told me. The school agrees with you. I’ve no doubt that your work with them has helped them significantly in the classroom and thank you again. Karina
Thank you so much for your kindness, patience and understanding with Chloe, as you have worked magic with her. You have given her such a sense of 'self belief' and working through that initial math's nightmare has been a great life experience for her. She has such a positive attitude towards it all now. It's been great. Thankyou so much John, we are so very appreciative as I am not sure where we would have been without you at this point. Amanda
I think Brainworks has assisted my daughter in a huge way. It has strengthened her foundation skills in mathematics, logic and built her confidence. It has increased her ability for creative expression, and picked up on her gaps and worked on them. I think Brainworks has facilitated more than the optimum from their teaching. Thank you for bringing out the confidence in my daughter. My work was made easier through Brainworks!! Anu
I have been associated with Brainworks for over 2 years with my 2 sons. It is by far superior to any other tutoring I have tried. My sons' strengths and weaknesses were identified and an effective individual programme was commenced. They have both been extended to their true abilities under the programmes with encouragement all the way. I highly recommend it to any student. C. Drew
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.
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.
| Year Level | Topics | |
| Two | Addition & subtraction Take away Skip counting Telling time Place value Groups of 10 |
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| Three | Concrete addition & subtraction Addition & subtraction Extending place value Skip counting Time |
Regrouping & borrowing |
| 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 |
| 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
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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