Pursue your studies in Mathematics, from home-This new GCSE Foundation Mathematics specification is the same AQA Maths GCSE studied in traditional schools and colleges.

## Course Overview

### As well as providing an excellent knowledge base in Mathematics, this GCSE course is ideal for:

- Students who are planning to study mathematics at A-Level
- Those wanting to boost their knowledge in a range of mathematics topics including fractions, algebra, Probability and more
- Those aspiring to achieve a career involving Mathematics, as an accountant, data analyst or financial manager

### The GCSE Mathematics course enables you to:

- Develop your understanding of fractions and decimals
- Understand notation, expressions and formulae
- Explore everything you need to know about Pythagoras and Trigonometry
- Gain an internationally recognised qualification for further studies in Mathematics s at A-Level and BTEC Level

Please note: This GCSE course is written for the foundation paper, which means the highest level you can achieve is a 5.

## COURSE CONTENT

### Section 1

- Positive and Negative
- Numbers
- Ordering
- Adding and Subtracting
- Multiplication and Division
- Order of Operations
- Place Value
- Powers and Roots
- Factors and Multiples
- Divisibility Tests
- Prime Numbers
- Highest Common
- Factor and Lowest
- Common Multiple

- Decimals Ordering
- Decimals
- Adding and Subtracting
- Multiplying and Dividing
- Standard Form
- Multiplying and Dividing
- Adding and Subtracting
- Fractions Simplifying
- Fractions Improper
- Fractions and Mixed
- Numbers
- Ordering
- Fractions
- Adding and Subtracting
- Multiplying
- Dividing Fraction of a Number
- Fractions, Decimals and Percentages
- Converting Between Fractions and Decimals
- Converting Between Fractions and Percentages
- Converting Between Percentages and Decimals

- Exact
- Calculations
- Indices Using Pi in Calculations
- Rounding and Estimation
- Rounding Integers
- Rounding to Decimal
- Places Rounding to Significant
- Figures Estimation Using a Calculator
- Measures Standard
- Units Compound
- Units Error Intervals

### Section 2

Notation and Expressions Terminology Notation Simplifying Expressions – Collecting Like Terms Expanding and Factorising 1 Expanding Single Brackets Factorising Single Brackets Substitution Formulae Identities Rearranging Functions Rearranging Equations Expanding and Factorising 2 Expanding Double Brackets Factorising Double Brackets A difference of Two Squares

Straight Line Graphs Plotting Straight Line Graphs Equation of a Straight Line 1 Parallel Lines Equation of a Straight Line 2 Quadratic Graphs Plotting Quadratic Graphs Properties of Quadratic Graphs Sketching Functions Cubic Graphs Reciprocal Graphs Real Life Graphs Distance-Time Graphs Straight Line Graphs – Real-Life Problems Real Life Graphs

Solving Linear Equations with Unknowns on One Side Linear Equations with Unknowns on Both Sides Solving Quadratic Equations Solving Simultaneous Equations Graphically Solving Simultaneous Equations Algebraically – Elimination Solving Simultaneous Equations Algebraically – Substitution Solving Inequalities

Sequence Rules Term to Term Rules Position to Term Rules Finding the nth term Special Sequences

### Section 3

- Measuring
- Scales Angles and Bearings
- Area and Perimeter
- Rectangle
- Triangle
- Parallelogram
- Trapezium
- Compound Shapes
- Angle Rules
- Types of Angles
- Angles and Lines
- Angles in a Triangle and Quadrilateral
- Angles in Polygons
- Loci and Construction
- Perpendicular
- Bisector
- Angle Bisector
- Loci Circles
- Terminology Area and Circumference
- Arcs and Sectors
- 3D Shapes
- Plans, Elevations and Nets
- Volume and Surface Area

- Transformations
- Translations
- Reflections
- Rotations
- Enlargements
- Combinations
- Rotational
- Symmetry
- Vectors

Pythagoras Theorem Trigonometry Missing sides Missing angles Ratios

### Section 4

- Ratio
- Percentages
- Finding a percentage of a number
- Simple Interest Percentage
- Change Original value
- Proportion Direct
- Proportion Inverse
- Proportion Growth and Decay
- Congruence and Similarity
- Congruence Similarity

- Probability Experiments
- Probability Scales and Notation
- Expected Outcomes
- Mutually Exclusive Events Sets
- Notation Venn Diagrams Tree Diagrams

- Collecting Data Sampling
- Frequency Tables Statistical
- Diagrams Pictograms
- Bar Charts
- Pie Charts
- Histograms Scatter Graphs and Correlation
- Averages Mean
- Mode Median
- Range Grouped Data

##### ASSESSMENT

To achieve a GCSE in Mathematics you will be assessed across the 4 sections. Both components will be assessed by 3 paper-based examinations. A more detailed breakdown of the assessment details is provided below:

Paper 1 – Non-Calculator

- Type: Written examination
- Duration: 1 hour 30 minutes
- Weighing: 33⅓% of the GCSE
- Total Marks: 80
- Assessed: Content from all parts of the course
- Assessment Type: A mix of question styles, from short, single-mark questions to multi-step problems

Paper 2 – Calculator

- Type: Written examination
- Duration: 1 hour 30 minutes
- Weighing: 33⅓% of the GCSE
- Total Marks: 80
- Assessed: Content from all parts of the course
- Assessment Type: A mix of question styles, from short, single-mark questions to multi-step problems

Paper 3 – Calculator

- Type: Written examination
- Duration: 1 hour 30 minutes
- Weighing: 33⅓% of the GCSE
- Total Marks: 80
- Assessed: Content from all parts of the course
- Assessment Type: A mix of question styles, from short, single-mark questions to multi-step problems
- Although you are assessed formally by examination, you will also be required to submit tutor-marked assignments. These are designed to help you and monitor your progress.
- If you choose to study this course you will need to take the foundation level examinations, which means the highest grade available is Level 5.

## COURSE DURATION

You will have 12 months to complete the full GCSE Mathematics course from the date you receive your materials. You will be able to study at your own pace and in your own time without the pressure of tight deadlines.

## STUDY METHOD

This course enables you to study for a GCSE Mathematics by distance learning at home or at work. Your course materials will be sent by post or online, so receiving your materials is easy and hassle-free. Full tutor support will be available via email, so help is only a click away!

## COURSE OUTCOME

Upon successful completion of this home learning course, you will receive a GCSE in Mathematics. The GCSE is recognised by universities, schools and employers around the world. It is awarded by AQA.

It serves as ideal preparation for follow-up courses, such as A/AS Level, the Advanced International Certificate of Education (AICE), US Advanced Placement Programme and the International Baccalaureate (IB) Diploma.

Please note: If you choose to study this course you will need to take the foundation level examinations which means the highest grade available is a C grade.

## YOUR QUESTIONS ANSWERED

Yes! Our GCSE course is accredited by awarding body AQA.

You do not need any previous knowledge to enrol onto this course.

No extra reading is required for the completion of this course.

You will need to take the official GCSE examinations in order to fully complete this course. It is your responsibility to book and pay for any exams and practicals included in this course yourself.

Students are required to take full responsibility for making arrangements with their chosen test centre. The highest grade you can achieve with this course is Grade 5.

For students wishing to achieve grade 6-9, please choose our GCSE Biology – Higher Tier course.

For this particular course, examination centres charge a substantial fee to take your exams and practical assessments, which is why we thoroughly recommend you conduct further research into this before enrolling.

You are still able to study this GCSE course, but the British Council Approved Centres, as this is the only guaranteed way to access exam centres.

It’s not a problem. We offer a course replacement service, so if you get into trouble and your course pack is lost or damaged, our Student Support Team can provide you with a new set of materials for a one-time additional fee.

### Course Curriculum

Section 1 | |||

1 STRUCTURE AND CALCULATIONS | 3 months | ||

Section 2 | |||

ALGEBRA NOTATION, EXPRESSIONS AND FORMULAE | 3 months | ||

Section 3 | |||

GEOMETRY PROPERTIES AND CONSTRUCTION | 3 months | ||

Section 4 | |||

PROPORTION AND STATISTICS RATIO, PROPORTION AND CHANGE | 3 months |

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