Maths
“The essence of math is not to make simple things complicated but to make complicated things simple ”.
Stan Gudder
MANIPULATE
Mathematics allows us to understand how the entire universe works. It sheds illumination onto the most difficult of problems, our curriculum is designed to develop the skills needed to solve these problems. Mathematics allows us to progress and develop, and hopefully, to grow in knowledge, wisdom and self. Our curriculum has been designed to develop problem solving skills through manipulation and rearrangement of the problem into a more defined pattern or way of thinking, it allows us to change the structure to broaden the mind and enable understanding.
MASTER
The Malling School’s Mathematical Curriculum is founded on a mastery scheme of work, offering students logical reasoning and explanation, cross topical links, and inclusion of every student. It is the aim that students will work through the curriculum, manipulating information and ideas to become masters of this subject.
MARVEL
It is the Mathematics aim to develop a sense of wonder, to question why the world is the way it is. To broaden the pupils experience and capture their imagination. We will also encourage questioning of understanding, to develop their conjecturing skills to test their own theories, to give the opportunity for experimentation with manipulating of situations, of numbers of letters. To leave the lesson amazed at their own personal discoveries of maths in the world around them.
YEAR GROUPS
Year 7 - KS3
Introduction
The maths curriculum is based on a mastery approach which supports each pupil individually to learn at a speed which suits their skills. The order of the curriculum is such that it ensures a true understanding of the basic skills before looking beyond these. It is therefore delivered in a specific order and not within a time frame. The order of which is outlined below. Year 7 concentrates on all aspects of number as this is the KEY skill needed for all of mathematics.
| TOPIC |
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Place value and number |
| WHY? |
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Basic concept of place value for all numbers. Time and money Rounding and approximations |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Addition and Subtraction |
| WHY? |
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This includes decimals |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Multiplication and Division |
| WHY? |
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|
This includes decimals |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Indices |
| WHY? |
|---|
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These are also known as powers |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Order of operations |
| WHY? |
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Also known as BIDMAS / BODMAS |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Negative Numbers |
| WHY? |
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All calculations with positive and negative numbers |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Number Theory |
| WHY? |
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|
This looks at special numbers – prime, multiples , factors |
| RESOURCES |
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|
Curriculum Booklet Hegartymaths |
| TOPIC |
|---|
|
Fractions |
| WHY? |
|---|
|
All operations with fractions and mixed numbers |
| RESOURCES |
|---|
|
Curriculum Booklet Hegartymaths |
| TOPIC |
|---|
|
Percentages |
| WHY? |
|---|
|
Finding percentages, increasing / decreasing by and more complex calculations with compound interest |
| RESOURCES |
|---|
|
Curriculum Booklet Hegartymaths |
| TOPIC |
|---|
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Using calculating and estimating |
| WHY? |
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This covers efficient use of a calculator |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Bounds |
| WHY? |
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This considers all possible values of a rounded number |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
Year 8 - KS3
Introduction
The year 8 curriculum covers all aspects of Algebra. Algebra is the key component in maths to solving the majority of mathematical problems and therefore underpins a large portion of the maths curriculum.
| TOPIC |
|---|
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Manipulating and Simplifying Expressions |
| WHY? |
|---|
|
Basic language of algebra |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Linear Equations |
| WHY? |
|---|
|
This involves solving all levels of equations |
| RESOURCES |
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|
Curriculum Booklet Hegartymaths |
| TOPIC |
|---|
|
Formulae |
| WHY? |
|---|
|
This looks at substitution and rearranging of formula |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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The Cartesian Grid |
| WHY? |
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Coordinates |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Advanced Linear Graphs and Equations |
| WHY? |
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Looking at simultaneous equations Using graphs to solve problems |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Linear Inequalities |
| WHY? |
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|
Using the symbols <, >, ≤, ≥ |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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|
Sequences |
| WHY? |
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|
Looks at both linear and non-linear sequences |
| RESOURCES |
|---|
|
Curriculum Booklet Hegartymaths |
| TOPIC |
|---|
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Advanced manipulating and simplifying expressions |
| WHY? |
|---|
|
Extends on previously learnt knowledge of manipulating and simplifying expressions taught at the beginning of the year. |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Quadratics |
| WHY? |
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Looking at expressions which contain the highest power of 2. |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
| TOPIC |
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Quadratics 2 |
| WHY? |
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Applying knowledge from previous topic in complex situations (it is likely here that some pupils will be revisiting previous topics rather than moving to the complex quadratics) |
| RESOURCES |
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Curriculum Booklet Hegartymaths |
Year 9 - KS3
Introduction
The mastery year 9 SOW is currently being rewritten and will then focus on geometry, the outline below was created to cover aspects in Number and Algebra which had not yet been delivered through our previous SOW.
| TOPIC |
|---|
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Basic number check |
| WHY? |
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This will include Place Value and Standard Form |
| RESOURCES |
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Curriculum Booklet Homework Booklet |
| TOPIC |
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General Check |
| WHY? |
|---|
| Ensure a firm understanding of all operations with both positive and negative numbers |
| RESOURCES |
|---|
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Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Indices |
| WHY? |
|---|
|
This unit looks at the laws of indices as well as calculations with indices (powers) |
| RESOURCES |
|---|
|
Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Order of operation |
| WHY? |
|---|
|
This is also known as BODMAS / BIDMAS |
| RESOURCES |
|---|
|
Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Number Theory |
| WHY? |
|---|
|
Looks at all special types of numbers – squares, cubes, factors, multiples and all associated calculations |
| RESOURCES |
|---|
|
Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Fractions |
| WHY? |
|---|
|
All operations with fractions and mixed numbers |
| RESOURCES |
|---|
|
Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Percentages |
| WHY? |
|---|
|
Finding percentages, increasing / decreasing by and more complex calculations with compound interest |
| RESOURCES |
|---|
|
Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Manipulating Expressions |
| WHY? |
|---|
|
This covers simplifying, expanding, substitution and factorising |
| RESOURCES |
|---|
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Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Forming Expressions |
| WHY? |
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This looks at the language used to form expressions in all situations |
| RESOURCES |
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Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
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Solving equations |
| WHY? |
|---|
|
This look at solving all levels of linear equations |
| RESOURCES |
|---|
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Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Formulae |
| WHY? |
|---|
|
Different types of formula and how to rearrange them |
| RESOURCES |
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Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Sequences |
| WHY? |
|---|
|
Generating them and using the nth term |
| RESOURCES |
|---|
|
Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Graphs |
| WHY? |
|---|
|
This stretches from the basics of plotting coordinates to looking at cubic and reciprocal functions |
| RESOURCES |
|---|
|
Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Quadratics |
| WHY? |
|---|
|
Expanding, factorising, solving and using graphs |
| RESOURCES |
|---|
|
Curriculum Booklet Homework Booklet |
| TOPIC |
|---|
|
Simultaneous Equations |
| WHY? |
|---|
|
Solving both graphically and algebraically |
| RESOURCES |
|---|
|
Curriculum Booklet Homework Booklet
|
Year 10 - KS4 - Exam board - edexcel
Introduction
This is the current year 10 SOW which moves away from the mastery SOW being delivered in KS3. However, if does focus on Number and Algebra as these are the key elements of a maths curriculum and is delivered with a mastery approach and therefore all classes will move through this at a pace which suits them.
Some of the content is for the higher tier only.
| TOPIC |
|---|
|
Place Value |
| WHY? |
|---|
|
A recap of place value, moving onto standard form to include calculations |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Indices |
| WHY? |
|---|
|
Know and apply the laws of indices |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Number Theory |
| WHY? |
|---|
|
Looks at all special types of numbers – squares, cubes, factors, multiples and all associated calculations |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Fractions |
| WHY? |
|---|
|
All operations with fractions and mixed numbers |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Percentages |
| WHY? |
|---|
|
Finding percentages, increasing / decreasing by percentages moving onto complex calculations with percentages |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Manipulating / Simplifying Expressions |
| WHY? |
|---|
|
Simplifying, expanding and factorising is covered in this topic. |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Linear Equations |
| WHY? |
|---|
|
Solving all levels of linear equations |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Formulae |
| WHY? |
|---|
|
This includes substitution into complex formulae and rearranging |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Linear Graphs |
| WHY? |
|---|
|
Looks at the equation of a straight line |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Sequences |
| WHY? |
|---|
|
This covers both linear and non-linear sequences |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Advanced Manipulating / simplifying expressions |
| WHY? |
|---|
|
Going beyond expanding 2 brackets |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Quadratics |
| WHY? |
|---|
|
Covers solving and all methods of factorising as well as plotting quadratic graphs |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Simultaneous Equations |
| WHY? |
|---|
|
Solving algebraically and graphically. Looking at quadratic and linear |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Further graphs |
| WHY? |
|---|
|
Cubic and reciprocal and real life graphs |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Iteration |
| WHY? |
|---|
|
Use to solve cubic and quadratic equations. Use function notation and look at inverse and composite functions |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
| TOPIC |
|---|
|
Algebraic Fractions |
| WHY? |
|---|
|
All calculations of fractions but with numerator and denominators as algebraic expressions |
| RESOURCES |
|---|
|
Hegartymaths Curriculum Booklet Revision guides available from the maths department |
Year 11 - KS4 - Exam board - edexcel
There is no SOW for year 11 as this is purely a revision year. We use assessment information to prioritise class teaching and support the pupils with their independent study by providing them with detailed analysis of formative assessments.