Year 10 Mathematics Advanced 2023
Teachers: MNG NVS
Connections Study Guide
Non - Calculator assessment (60 minutes)
Part 1 - Criterion B – Investigating patterns
Linear Algebra
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Linear equations (gradient-intercept, point-gradient, standard, two-intercepts forms)
Linear inequalities
Simultaneous equations (substitution, elimination, graphing)
Word problems
Patterns and Graphs
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Quadratic equations (standard, vertex and factorised forms)
Exponential equations (multiple forms)
Quadratics and their transformations
Exponential patterns and graphs
Relationships between visual patterns, tables, equations, and graphs
Word problems
Part 2 - Criterion C – Communicating
Co-ordinate Geometry
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Midpoint and distance between two points
Shortest distance between points and lines (2D / 3D)
Parallel and perpendicular lines
Word problems
Trigonometry
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Pythagoras’ theorem
Right-angled trigonometry (SOHCAHTOA, exact values)
Special triangles
Algebra skills
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Exponents (simplifying expressions including negative and fractional powers, and solving simple equations)
Surds (simplifying, and rationalising the denominator)
Probability
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Two-way tables
Probability Venn diagrams
Probability trees
Combined probability
Independence
Word problems
Year 10 Mathematics Advanced 2023
Teachers: MNG NVS
Calculator assessment (60 minutes)
Criterion A – Knowing and Understanding
Intensive algebra skills
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Simplifying algebraic expressions (like terms, index laws, expanding, factorising, ..)
Quadratics (factorising, perfect squares and difference of two squares, completing the square, quadratic formula)
Discriminant and nature of roots
Algebraic expressions and equations with fractions
Word problems
Pythagoras and Trigonometry
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Pythagoras’ theorem
Right-angled trigonometry (SOHCAHTOA, exact values)
Non-right-angled trigonometry (sine rule, cosine rule, area of a triangle)
Trigonometric graphs and transformations
Solving simple trigonometric equations
Word problems
Measurement
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Rounding and limits of accuracy (upper bounds, lower bounds)
Perimeter, area, surface area, volume, capacity
Word problems
Discrete probability distribution
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Probability distribution for discrete random variables (formulae and tables)
Finding mean, variance, standard deviation and probabilities
Word problems