KS3+KS4 Maths
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KS3 Maths
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Number
- Place value and standard form
- Ordering decimals and rounding
- Negative numbers
- Multiplying and dividing negative numbers
- Multiples and factors
- Prime numbers
- Prime factor decomposition, HCF and LCM
- Squares and square roots
- Powers and roots
- Fractions
- Fractions and decimals
- Adding and subtracting fractions
- Fractions of amounts and multiplying fractions
- Dividing by fractions
- Equivalent fractions, decimals and percentages
- Calculating with percentages
- Proportions and percentage change
- Ratio
- Proportion
- Order of operations
- Mental methods
- Mental problems and puzzles
- Estimation, calculator methods and checking results
- Written methods
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Algebra
- Algebraic Expressions
- Multiplying and dividing algebraic terms
- Factorizing and substitution
- Equations
- Equations involving brackets, division and proportion
- Non-linear equations
- Formulae
- Changing the subject and deriving formulae
- Sequences
- Generating sequences
- nth terms and sequences in context
- Functions
- Inverse functions
- Graphs of functions
- Real-life graphs
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Geometry and measures
- Parallel and perpendicular lines
- Calculating angles
- Angles in polygons
- Triangles and quadrilaterals
- Polygons and congruence
- Tessellations
- Circles
- 3-D shapes and representations
- Nets
- Plans and elevations
- Cross-sections
- Coordinates
- Reflection and symmetry
- Rotation and rotation symmetry
- Translation
- Enlargement and scale drawings
- Combining transformations
- Construction
- Loci
- Converting units
- Estimating measurements and reading scales
- Angles and bearings
- Perimeter
- Area
- Surface area and volume
- Circumference and area of a circle
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Statistics
- Planning and collecting data
- Organizing data and writing a report
- Mode, median and range
- Mean and calculating statistics
- Bar charts and pie charts
- Frequency diagrams, line and scatter graphs
- Probability
- Calculating probability
- Probability diagrams
- Experimental probability
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KS4 Maths
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Unit 1: Statistics and Probability
- Bar charts, line graphs and pie charts
- Calculating averages
- Combined probability
- Continuous data
- Cumulative frequency and box plots
- Data collection
- Drawing frequency diagrams
- Experimental probability
- Probability
- Sampling methods
- Stem-and-leaf and scatter graphs
- The data handling cycle
- Tree diagrams
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Unit 2: Number and Algebra
- Advanced inequalities
- Algebraic fractions
- Decimal calculations
- Decimals
- Factorizing
- Formulae
- Fractions
- Functions
- Generating sequences
- Graphs of non-linear functions
- Index laws
- Index laws 2
- Integers
- LCM and HCF
- Linear equations
- Linear graphs
- Manipulating formulae
- More quadratics
- Multiples, factors and prime numbers
- Other sequences
- Percentage changes
- Percentages
- Powers and proportion
- Powers and roots
- Proportion
- Quadratic sequences
- Ratio
- Real-life graphs
- Rounding
- Simple inequalities
- Simultaneous equations 1
- Simultaneous equations 2
- Solving quadratics
- Standard form
- Surds
- Working with brackets
- Working with fractions
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Unit 3: Geometry and Measures
- 3-D Shapes
- Applying Pythagoras’ Theorem
- Applying trigonometry
- Area
- Circle calculations
- Circles
- Congruence and similarity
- Construction
- Cubes and cuboids
- Enlargement
- Further trigonometry
- Lines and angles
- Loci
- Measures
- More measures
- Polygons
- Pythagoras' Theorem
- Symmetry and reflection
- Translation and rotation
- Triangles and quadrilaterals
- Trigonometry
- Trigonometry graphs and rules
- Using vectors
- Vectors
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Unit 4: Problem-solving Skills
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10 short presentations containing problem-solving questions and practice exam questions to cover the new AO2/AO3 Learning Objectives
- 2 presentations cover Unit 1: Statistics and Probability
- 4 presentations cover Unit 2: Number and Algebra
- 4 presentations cover Unit 3: Geometry and Measures
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10 short presentations containing problem-solving questions and practice exam questions to cover the new AO2/AO3 Learning Objectives
