Course description
This GCSE Maths Foundation Tier course is the same AQA Maths GCSE studied in a traditional school. As well as providing an excellent knowledge base in Mathematics, this online GCSE course is ideal for students who are planning to study mathematics at A Level. Students will boost their knowledge in a range of mathematical topics including statistics, trigonometry, and formulae. This GCSE Maths Foundation course is also ideal for those aspiring to achieve a career in which maths plays an essential role such as accountants, engineers, data analysts, or financial managers. And with many employers now requiring a minimum qualification in GCSE Maths, this course is essential for anyone who currently doesn't hold a level 2 maths qualification who wants to go further in their career. If you choose to add your exams to your enrolment, we will book these for you, saving you the hassle of booking them yourself and giving you more time to dedicate to your studies. Please note: This GCSE course is written for the foundation tier paper, which means the highest level you can achieve is a grade 5. This course can be completed without taking the exams, but you will not receive the full qualification if you do not complete your exams.
Course Content
AQA specification 8300
Structure and calculations
- 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.
Fractions and decimals
- Decimals.
- Ordering decimals.
- Adding and subtracting.
- Multiplying and dividing.
- Standard form.
- Fractions.
- Simplifying fractions.
- Improper fractions and mixed numbers.
- Ordering Fractions.
- Fraction of a number.
- Fractions, decimals and percentages.
- Converting between fractions and decimals.
- Converting between fractions and percentages.
- Converting between percentages and decimals.
Measures and accuracy
- 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.
Notation, expressions, and formulae
- 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.
- Difference of two squares.
Graphs
- 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.
Solving equations and inequalities
- Solving linear equations.
- Linear equations with unknowns on one side.
- Linear equations with unknowns on both sides.
- Solving quadratic equations.
- Solving simultaneous equations.
- Solving simultaneous equations graphically.
- Solving simultaneous equations algebraically – elimination.
- Solving simultaneous equations algebraically – substitution.
- Solving inequalities.
Sequences
- Sequence rules.
- Term to term rules.
- Position to term rules.
- Finding the nth term.
- Special sequences.
Properties and construction
- 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 and trigonometry
- Pythagoras theorem.
- Trigonometry.
- Missing sides.
- Missing angles.
- Ratios.
Proportion and statistics
- 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
- Probability experiments.
- Probability scales and notation.
- Expected outcomes.
- Mutually exclusive events.
- Sets.
- Notation.
- Venn diagrams.
- Tree diagrams.
Statistics
- Collecting data.
- Sampling.
- Frequency tables.
- Statistical diagrams.
- Pictograms.
- Bar charts.
- Pie charts.
- Histograms.
- Scatter graphs and correlation.
- Averages.
- Mean.
- Mode.
- Median.
- Range.
- Grouped data.
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