9-1 GCSE – Higher SOW Sets 1 & 2
Topic
Number
Algebra
Interpreting
and
representing
data
Time
10
12
12
Objectives
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Number problems and reasoning
Place value and estimating
HCF and LCM
Calculating with powers (indices)
Zero, negative and fractional indices
Powers of 10 and standard form
Surds
Algebraic indices
Expanding and factorising
Equations
Formulae
Linear sequences
Non-linear sequences
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More expanding and factorising
Statistical diagrams 1
Time series
Scatter graphs
Line of best fit
Averages and range
Statistical diagrams 2
Grade
Key Words
Factorial, inclusive
Significant figure, ≈
Prime factor decomposition, index form
Resources
Text Book
Chapter 1
Reciprocal
Standard form
Surd, rational, irrational, rationalise
Chapter 2
Identity, equation, expand
Formula, variables, subject
Arithmetic sequence, common difference
Geometric sequence, common ratio,
quadratic sequence
FOIL
Stem-and-leaf, frequency polygons
Time series
Bivariate data, correlation, positive, negative
Line of best fit, interpolation, extrapolation
Modal class
Two-way tables
TEST 1
Chapter 3
Other
9-1 GCSE – Higher SOW Sets 1 & 2
Topic
Time
Fractions, ratio
and percentages
12
Angles and
trigonometry
12
Graphs
10
Objectives
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Fractions
Ratios
Ratio and proportion
Percentages
Fractions, decimals and percentages
Angle properties of triangles and quadrilaterals
Interior angles in polygons
Exterior angles in polygons
Pythagoras’ Theorem 1
Pythagoras’ Theorem 2
Trigonometry 1
Trigonometry 2
Linear graphs
More linear graphs
Graphing rates of change
Real-life graphs
Line segments
Quadratic graphs
Cubic and reciprocal graphs
More graphs
Grade
Key Words
Reciprocal
Unit ratios
Direct proportion
Depreciates, simple interest
Recurring decimal
Interior, exterior angle
Polygon
Resources
Text Book
Chapter 4
Chapter 5
Hypotenuse, bisect
Opposite, adjacent, sine, cosine, tangent
Exact trigonometric values
Gradient, y-intercept
Parallel
Distance-time graph, velocity-time graph
Direct proportion
Line segment, perpendicular
Quadratic equation, parabola
Cubic, reciprocal, asymptote
Equation of a circle
TEST 2
Chapter 6
Other
9-1 GCSE – Higher SOW Sets 1 & 2
Topic
Time
Area and
volume
10
Transformations
and
constructions
12
Objectives
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Topic
Equations and
Inequalities
Probability
Time
12
10
Perimeter and area
Units and accuracy
Prisms
Circles
Sectors of circle
Cylinders and spheres
Pyramids and cones
3D solids
Reflection and rotation
Enlargement
Translations and combinations of
transformations
Bearings and scale drawings
Constructions 1
Constructions 2
Loci
Objectives
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Solving quadratic equations 1
Solving quadratic equations 2
Completing the square
Solving simple simultaneous equations
More simultaneous equations
Solving linear and quadratic simultaneous
equations
Solving linear inequalities
Combined events
Mutually exclusive events
Experimental probability
Independent events and tree diagrams
Conditional probability
Venn diagrams and set notation
Grade
Key Words
Isosceles trapezium
Upper bound, lower bound
Surface area, prism, volume, capacity
Circumference, π,
Semi-circle, sector, radii, arc
Net
Slant height, frustrum
Plan, front elevation, side elevation
Line of reflection, centre of rotation
Scale factor, centre of enlargement
Column vector, resultant vector
Resources
Text Book
Other
Chapter 7
Chapter 8
Bearing, map ratio
Construct, perpendicular bisector
Angle bisector
Loci, equidistant
TEST 3
Grade
Key Words
Solving, roots
Quadratic formula
Perfect squares, completing the square
Substitution, elimination
Resources
Text Book
Chapter 9
Intersection
Inequalities, set notation
Sample space diagram
mutually exclusive
Experimental, theoretical probability
Independent, tree diagram
Conditional probability
Element, universal, intersection, union,
compliment, given that
TEST 4
Chapter 10
Other
9-1 GCSE – Higher SOW Sets 1 & 2
Topic
Time
Objectives
Multiplicative
reasoning
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Growth and decay
Compound measures
Similarity and
congruence
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More compound measures
Ratio and proportion
Congruence
Geometric proof and congruence
Similarity
More similarity
Similarity in 3D solids
Topic
More
trigonometry
Time
12
Objectives
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Grade
Key Words
Annual, compound interest, total interest
Speed, distance, time, kinematics, velocity,
initial velocity, acceleration
Density, mass, volume, pressure, force, area
Direct, inverse proportion
Congruence
Resources
Text Book
Other
Chapter 11
Chapter 12
Similar, corresponding
Enlargement, scale factor, area scale factor
Volume scale factor
TEST 5 {End of Year Test(s)}
Grade
Key Words
Accuracy
Upper bound, lower bound
Graph of the sine function
Sine, sinusoidal
Graph of the cosine function
Cosine
The tangent function
Tangent
Calculating areas and the sine rule
Sine rule
The cosine rule and 2D trigonometry problems
Cosine rule
Solving problems in 3D
Transforming trigonometric graphs 1
Reflection
Transforming trigonometric graphs 2
Translation, stretch, scale factor
SUMMER HOLIDAYS
Resources
Text Book
Chapter 13
Other
9-1 GCSE – Higher SOW Sets 1 & 2
Topic
Further
statistics
Equations and
graphs
Time
10
12
Objectives
Grade
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Sampling
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Cumulative frequency
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Box plots
Drawing histograms
Interpreting histograms
Comparing and describing populations
Solving simultaneous equations graphically
Representing inequalities graphically
Graphs of quadratic functions
Solving quadratic equations graphically
Graphs of cubic functions
Key Words
Population, census, sample, bias, random,
strata, stratified sample
Cumulative frequency, upper class boundary,
upper, lower quartile, inter quartile range (IQR)
box plot, box-and-whisker diagram
Histogram, frequency density, class width
Resources
Text Book
Other
Chapter 14
Outliers
Chapter 15
Turning point, roots
Iteration
TEST 6
Topic
Time
Circle theorems
10
More algebra
12
Objectives
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Radii and chords
Tangents
Angles in circles 1
Angles in circles 2
Applying circle theorems
Rearranging formulae
Algebraic fractions
Simplifying algebraic fractions
More algebraic fractions
Surds
Solving algebraic fraction equations
Functions
Proof
Grade
Key Words
Chord
Tangent
Subtended
Cyclic quadrilateral, alternate segment
Resources
Text Book
Chapter 16
Chapter 17
Conjugate
Function notation, composite, inverse
Proof, counter-example
TEST 7 {Summative Test(s)}
Other
9-1 GCSE – Higher SOW Sets 1 & 2
Topic
Time
Vectors and
geometric
proof
10
Proportion and
graphs
12
Objectives
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Grade
Vectors and vector notation
Vector arithmetic
More vector arithmetic
Parallel vectors and collinear points
Solving geometric problems
Direct proportion
More direct proportion
Inverse proportion
Exponential functions
Non-linear graphs
Translating graphs of functions
Reflecting and stretching graphs of functions
Key Words
Text Book
Vector, magnitude, displacement, equal vectors,
Scalar
Resultant vector
Position vectors, collinear
Chapter 18
Constant of proportionality, α
Chapter 19
Inversely proportional
Exponential growth, exponential decay
Translation
Reflect, stretch, scale factor
TEST 8
Resources
Other