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2024/2025 Mathematics
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Grade 6
Introduction to Secondary school and diagnostic
Unit 1 - Number
Mental Math and Estimation
Rounding
Indices
Perfect Squares and Square roots
Factors, multiples, Prime numbers
Prime factors - factor tree
The four basic operations
Integers
Translations
Coordinates on a cartesian plane
Reflections
Rotations
Unit 2 - Number
Equivalent & Simplifying Fractions
Adding and Subtracting Fractions
Multiplying and dividing Fractions
Problem solving with worded problems
Rounding Decimals and place value
Decimal arithmetic
Unit 3 - Algebra
Language of Algebra & the basics
Simplifying Expressions & Like terms
Solving 1 and 2 step equations
(Extension) Solving equations with repeated unknown
Substitution and worded problems
Patterns
Expanding brackets
Factorising Expressions
Linear graphs
Unit 4 - Geometry and measurement
Converting units of length
Perimeter and Area
Area of Parallelograms
Area of Composite figures
Circles - circumference and area
Volume
Solids (extension)
Angle properties
Unit 5 - Statistics and probabilty
Grade 7
Unit 1 - Number
Unit 1 class project
Place value and rounding
Decimals
Fractions
Percentages
Rounding Decimals and place value
Converting Fractions and Decimals
Percentages
Ratios - simplify and share
Ratios - scaling
Unit 2 - Algebra
Intro to Algebra Investigation
Simplifying Expressions & Like terms
Exponent Laws
Scientific Notation
Expansion Laws
Factorising Expressions
Unit 3 - Linear relationships
Rearranging equations
Solving equations with repeated unknown
Forming equations
Function machines and table of values
Linear graphs
Gradient intercept method
Solving simultaneous equations graphically (extension)
Unit 4 - Probability
Intro to Probability
Theoretical Pr
Experimental Probability
Probability from tabled data
Tree diagrams
Venn diagrams
Unit 5 - Geometry and measurement
Area of Composite figures
Surface area
Volume
Pythagoras Introduction
Pythagoras problem solving
Pythag in 3D (ext)
Grade 8
Unit 1 - Probability
Intro to Probability
Theoretical Pr
Experimental Probability
Tree diagrams
Probability from tabled data
Venn diagrams
Set notation
Unit 2 - Linear Equations and Graphs
Collecting like terms and expanding
Expansion Laws
Solving 2 and 3 step equations
Solving equations with repeated unknown and with fractions
Rearranging equations
Exponent Laws
Forming equations
Function machines and table of values
Linear graphs
Gradient intercept method
Midpoint and distance between 2points
Solving simultaneous equations graphically
Simultaneous equations
Unit 3 - Measurement & Geometry
Surface area
Volume
Angle relationships
Pythagoras Theorem
Pythagoras problem solving
Extension - Pythagoras in 3D
Parallel and perpendicular graphs
Distance between two points
Introduction to Trigonometry
Trigonometry - missing angles
Angles of elevation and depression
Trigonometry in 3D
Extension Solving trig problems with graphs
Unit 4 - Financial Maths and Statistics
Intro to Financial Maths
Simple Interest
Compound Interest
Boxplots
Extension....
Unit 5 - Algebra and non-linear relationships
16A - Ratios
16F - Ratios
9E - Percentages
Grade 9
Unit 3 - Patterns
10B - Linear Sequences
10D - Geometric patterns
Triangular Numbers Investigation
8.28 - Quadratic Sequences
14A - Linear graphs
14B - Horizontal and Vertical lines
14C - Gradient formula
14D - Gradient intercept method
14E - Equation of a line Gradient- intercept form
Unit 4 - Geometry and TrigonometryPatterns
11A - Polygons
9B - Triangles
9C - Triangle angles
9E - Quadrilateral angles
9G - Angle sum of polygons
11B - Perimeter
11C - Circles
11D - Area
11G - Area of Composite figures
12A - Surface area
12D - Volume
20A - Pythagoras
20B - Pythagoras problem solving
10.8 - Pythag in 3D
Intro to Trig and similar triangles
10.1 - Right angled Triangles
Unit 5 - Statistics and Probability
2A - Sets
2C - Sets
2D - Venn diagrams
17A - Probability
17C - Theoretical Probability
17E - Experimental Probability
17F - Probability from tabled data
13.4 - Tree diagrams (and independent events cont'd)
18B - Categorical data
18F - Median, Mean, Mode
Grade 10
Unit 1 - Sequences and Equations
Algebra - substitution
Expansion Laws
Solving equations with repeated unknown
3.21 Simultaneous equations
3.28 to 3.33 - Quadratics
8.19 to 8.25 - Algebraic fractions
10B - Linear Sequences
8.28 - Geometric Sequences
Arithmetic series
8.31 - Geometric series
Extension
Unit 2 - Geometry and Trigonometry
Circle Theorems
4.6 - 4.8 - Circles, Sector area and arc length
7.4 - Pythagoras
10.1 - Right angled Triangles
10.3 - Right angled Triangles
Angle of elevation and depression
10.5 Bearings
10.9 - Sine cosine rule
Area of a triangle using trig
Unit 3 - Number
Indices
8.6 - 8.10 - Surds
Direct and inverse proportion
Unit 4 - Functions
5.1 - Functions
5.2 - Inverse Functions
5.3 - Absolute Value Functions
9.1/9.3/9.4 - Linear graphs
Midpoint and distance between 2points
9.2 - Gradient intercept method
Parallel and perpendicular graphs
9.6 to 9.8 - Exponential functions
Unit 5 - Statistics and Probability
12.1 - Set notation
12.2 - Number sets
12.3/12.4 - Venn diagrams
13.1 - Intro to Probability
Compound Events - dependent
13.3 - Mutually exclusive events
13.4 - Tree diagrams (and independent events cont'd)
Experimental Probability
Discrete and continuous data
14.2 - Stem Plots
14.4 Frequency tables and bar charts
14.5 - Median, IQR, Range & Mode
14.7 - Grouped data
14.8 Histograms
14.10 - Cumulative data
14.12 - Scatterplots
Boxplots
Standard deviation of a sample
Probability and Statistics Project
Data Types
Measuring the Centre
Interquartile range and Standard deviation
Goal setting
Data collection
Report analysis
Part 2 - Probability
Statistics Project Criteria
Grade 11
Unit 1 - Statistics and Probability
12.1 - Set notation
12.2 - Number sets
12.3/12.4 - Venn diagrams
13.1 - Intro to Probability
Compound Events - dependent
13.3 - Mutually exclusive events
13.4 - Tree diagrams (and independent events cont'd)
Experimental Probability
Discrete and continuous data
14.2 - Stem Plots
Frequency tables and bar charts
14.5 - Median, IQR, Range & Mode
14.7 - Grouped data
14.8 Histograms
14.10 - Cumulative data
Boxplots
14.12 - Scatterplots
Standard deviation of a sample
14.13 - Pearson's Product-momement correlation coefficient
Spearman's rank correlation coefficient
Unit 2 - Quadratics
3.28 to 3.33 - Quadratics
Completing the square
Sum and product of roots
Parabolas, Axis of symmetry and vertex
8.1 - 8.5 - Inequalities
3.21 Simultaneous equations (sub method only)
3.35 - Simultaneous quadratics
Unit 3 - Geometry
4.1 - 4.5 - Area
4.14 Surface area of pyramids spheres and frustrums
4.10 - 4.13 - Volume, density and dimensions
Similar solids
Unit 4 - Sequences and Functions
9.1/9.3/9.4 - Linear graphs
Midpoint and distance between 2points
9.2 - Gradient intercept method
Parallel and perpendicular graphs
5.1 - Functions
5.2 - Inverse Functions
5.3 - Absolute Value Functions
5.6 & 5.7 - Graphing quadratic functions
9.6 to 9.8 - Exponential functions
9.12 - Log functions
10B - Linear Sequences
8.28 - Geometric Sequences
Arithmetic series
8.31 - Geometric series
Functions revision
Unit 5 - Trigonometry
10.1 - Right angled Triangles
10.3 - Right angled Triangles
10.4 - Find the angle
10.7 - Exact trig values
10.8 - Pythag in 3D
10.9 - Sine cosine rule
3D problems with non-right triangles
Solving trig problems with graphs
Grade 11 to DP SL AI step up 2022
Resource videos
Grade 12
Unit 1 - Recursion & Financial Modelling
CH3: Modelling growth and decay using recursion
**3.1 - 3.4 Sequences and recurrence relations
8C Modelling linear growth and decay
8D Rules to determine nth term - linear
**3.3 - 3.4 Modelling geometric growth and decay
8F Rules to determine nth term - geometric
8G Nominal and Effective interest rates
CH3: ReducingBalanceLoansAndAnnunities
**3.3 - 3.4 Analysing reducing-balance loans with recurrence relations
Finance Solver App
9C Reducing-BalanceLoansUsingTINSpire
9D Interest-only loan
**3.3 - 3.4 Annuities
9F Perpetuities
9G Annuity Investment
Unit 2: Functions
Simultaneous equations
Quadratics
Midpoint and distance between 2points
Gradient intercept method
Parallel and perpendicular graphs
Functions
Inverse Functions
Graphing quadratic functions
Graphing reciprocals (not done)
Exponential functions
Log functions
Symmetry (vertex formula)
Modelling functions
Solving equations with repeated unknown
3.21 Simultaneous equations
3.28 to 3.33 - Quadratics
3.35 - Simultaneous quadratics
Unit 3: Statistics and Probability
Discrete and continuous data
14.5 - Median, IQR, Range & Mode
14.7 - Grouped data
Boxplots
14.10 - Cumulative data
14.8 Histograms
2024/2025 Mathematics
Symmetry (vertex formula)
Kognity Reference (Section 2.
5
.2)
Intersections of functions on the GDC....
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