_section01_matrices_transformations.jpg)
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GCSE Additional Section 01
MATRICES and TRANSFORMATION MATRICES:
- Order, matrix addition, subtraction, scalar and matrix multiplication
- Inverse Matrix including solution of simultaneous equations
- Determinant, Singular/Non - Singular, Equality of matrices
- Transformations: reflection, rotation, enlargement and translation
- Double/Inverse Transformations
- Exercises with fully worked answers
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£4.30
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GCSE Additional Section 02
ALGEBRA:
- Factorization: H.C.F., factorizing by grouping
- Algebraic Fractions: Simplifying, L.C.M., add/subtract/multiply/divide
- Quadratic Equations: Solution by Factors/Formula/Graph; Problems
- Simultaneous Equations: 2 and 3 variables; elimination/substitution
- Polynomials: solution by factors/trial and improvement
- Exercises with fully worked answers
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£5.60
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GCSE Additional Section 03
GRAPHS:
- Travel Graphs: Distance/Time and Velocity/Time graphs
- Functions: Linear/Quadratic/Exponential/Reciprocal; Asymptote
- Quadratic Equations: Solution by Factors/Formula/Graph; Problems
- Simple Transformations on Graphs
- Intersecting Graphs: including lines and curves
- Exercises with fully worked answers
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£4.80
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_section04_algebra_indices and logarithms.jpg)
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GCSE Additional Section 04
ALGEBRA:
- Indices and Logarithms: laws; graphs of y = logx and its inverse
- Graphical Solution of y = ax to the power n: a and n are constants
- Solution of Equations using Logarithms: Problems
- Exercises with fully worked answers
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£2.10
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_section05_the calculus - differentiation and integration.jpg)
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GCSE Additional Section 05
THE CALCULUS:
- Differentiation: gradient, instantaneous rate of change, first principles
- Application of Differentiation: equation of tangent, equation of normal, stationary points, maximum/minimum values
- Integration: finding areas under curves
- Problems
- Exercises with fully worked answers
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£3.90
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GCSE Additional Section 06
TRIGONOMETRY:
- Angles of Any Size: CAST diagram
- Graphs: Sin x, Cos x and Tan x; Reciprocals and Inverses of Sin, Cos and Tan. Simple Transformations on these graphs.
- Sine Rule and Cosine Rule
- Three - dimensional Problems
- Exercises with fully worked answers
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£6.90
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GCSE Additional Section 07
MECHANICS:
- Vectors: magnitude, direction, position, displacement, parallelogram of vectors, addition, subtraction and scalar multiplication of vectors
- Displacement, Velocity and Acceleration: displacement/time and velocity/time graphs. Constant acceleration formulae. Use of the calculus. Worked examples
- Forces: worked examples
- Laws of Motion: Examination Questions with fully worked answers
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£5.00
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_section08_handling data_statistics_probability.jpg)
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GCSE Additional Section 08
STATISTICS:
- Frequency: mean, median, mode, bar graph, histogram (discrete and grouped distributions), cumulative frequency graph (ogive), median, interquartile range, diagrams (box and whisker, stem and leaf, scatter)
- Moving Averages
- Correlation: Spearman Rank Correlation Coefficient
- Standard Deviation
- Conditional Probability
- Venn diagrams
- Probability: and/or rules; tree diagrams
- Exercises with fully worked answers
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£3.50
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