BECE · 12 topics

Mathematics

G3N tutors you through the full BECE Mathematics syllabus offline — from Strand 1: Number, Strand 2: Algebra, Strand 3: Geometry and Measurement and more — with adaptive lessons, instant quizzes and exam-ready summaries.

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Syllabus

What you’ll cover in Mathematics.

The complete topic outline G3N teaches, mapped to the BECE curriculum.

Basic 7

4 topics

Strand 1: Number

Sub-strand 1: Number and Numeration Systems
- Place value for quantities recorded as base ten numerals
- Rounding whole numbers and decimals to given decimal places
- Expressing decimals to significant figures
- Comparing and ordering whole numbers greater than 1,000,000,000
Sub-strand 2: Number Operations
- Mental mathematics strategies and number properties
- Multiplying and dividing numbers by powers of 10
- Addition and subtraction of up to four-digit numbers
- Story problems involving decimals and four basic operations
- Powers and indices of natural numbers
- Highest Common Factor (HCF) and Least Common Multiple (LCM)
Sub-strand 3: Fractions, Decimals and Percentages
- Comparing and ordering fractions, decimals and percentages
- Addition and subtraction of unlike and mixed fractions
- Multiplication and division of positive fractions
- Finding a fraction of a given quantity
Sub-strand 4: Number – Ratios and Proportion
- Ratios and their relationship to fractions
- Unit rate and rate language in context
- Tables of equivalent ratios and proportional relationships
- Percentage as a rate per 100

Strand 2: Algebra

Sub-strand 1: Patterns and Relations
- Extending and describing patterns and relations
- Rules for relations presented numerically or symbolically
- Graphing relations in a number plane
- Using tables of values to make predictions
Sub-strand 2: Algebraic Expressions
- Creating simple algebraic expressions from word descriptions
- Addition and subtraction of algebraic expressions
- Multiplication and division of algebraic expressions
- Substituting values to evaluate expressions
Sub-strand 3: Variables and Equations
- Translating word problems to linear equations
- Solving linear equations using concrete and symbolic methods
- Inequalities and their representations
- Problem solving using algebraic methods

Strand 3: Geometry and Measurement

Sub-strand 1: Shapes and Space
- Properties of 2D shapes and 3D objects
- Angles and angle relationships
- Perimeter and area of plane figures
- Drawing and constructing geometric shapes
Sub-strand 2: Measurement
- Measurement of length, mass and capacity
- Converting between units of measurement
- Calculating perimeter and area of rectangles and triangles
- Time and calendar calculations
Sub-strand 3: Position and Transformation
- Locating points on the coordinate plane
- Translations, reflections and rotations of shapes
- Symmetry in 2D shapes
- Describing transformations using coordinates

Strand 4: Handling Data

Sub-strand 1: Data
- Collecting, organising and presenting data
- Frequency tables and tallies
- Bar graphs, pie charts and line graphs
- Calculating mean, median and mode
Sub-strand 2: Chance or Probability
- Language of probability (certain, likely, unlikely, impossible)
- Simple experiments and outcomes
- Expressing probability as a fraction
- Comparing experimental and theoretical probability

Basic 8

4 topics

Strand 1: Number

Sub-strand 1: Number and Numeration Systems
- Rational and irrational numbers
- Operations on directed/signed numbers
- Standard form and scientific notation
- Comparing and ordering real numbers
Sub-strand 2: Number Operations
- Operations with negative numbers
- Word problems with decimals and fractions
- Squares, square roots, cubes and cube roots
- Estimation and approximation in calculations
Sub-strand 3: Fractions, Decimals and Percentages
- Percentage increase and decrease
- Profit, loss and discount calculations
- Simple interest and hire purchase
- Converting between fractions, decimals and percentages
Sub-strand 4: Number – Ratios and Proportion
- Direct and inverse proportion
- Dividing quantities in given ratios
- Scale drawings and maps
- Speed, distance and time problems

Strand 2: Algebra

Sub-strand 1: Patterns and Relations
- Number sequences and patterns
- Arithmetic and geometric sequences
- Nth term of a sequence
- Graphing linear and non-linear relations
Sub-strand 2: Algebraic Expressions
- Expanding brackets and algebraic expressions
- Factorising algebraic expressions
- Simplifying algebraic fractions
- Applying algebraic identities
Sub-strand 3: Variables and Equations
- Solving linear equations with variables on both sides
- Formulating equations from word problems
- Linear inequalities and number line representation
- Simultaneous equations: graphical method

Strand 3: Geometry and Measurement

Sub-strand 1: Shapes and Space
- Properties of triangles and quadrilaterals
- Circle: radius, diameter, chord, arc and sector
- Congruence and similarity of shapes
- Construction of geometric figures with compass and ruler
Sub-strand 2: Measurement
- Area of circles and composite shapes
- Volume of prisms and cylinders
- Surface area of 3D shapes
- Bearings and directions
Sub-strand 3: Position and Transformation
- Enlargements and reductions
- Scale factors and similar figures
- Vectors and vector notation
- Combined transformations

Strand 4: Handling Data

Sub-strand 1: Data
- Grouped frequency tables
- Histograms and frequency polygons
- Cumulative frequency curves (ogives)
- Interpreting data from charts and graphs
Sub-strand 2: Chance or Probability
- Sample space and events
- Calculating probability of single events
- Mutually exclusive events
- Probability experiments and simulations

Basic 9

4 topics

Strand 1: Number

Sub-strand 1: Number and Numeration System
- Number bases and conversions between bases
- Operations in other number bases
- Logarithms and their applications
- Real number system and its properties
Sub-strand 2: Number Operations
- Compound interest and depreciation
- Foreign exchange and financial calculations
- Operations with surds
- Variations: direct, inverse and joint
Sub-strand 3: Fractions, Decimals and Percentages
- Tax, commission and insurance calculations
- Shares and dividends
- Currency conversions and foreign exchange
- Real-life applications of percentages
Sub-strand 4: Number – Ratios and Proportion
- Proportional reasoning in real-world contexts
- Maps and scale models
- Rate of work and efficiency problems
- Mixture problems and alligation

Strand 2: Algebra

Sub-strand 1: Patterns and Relations
- Graphing quadratic relations
- Interpreting graphs of real-life situations
- Functions and function notation
- Domain and range of functions
Sub-strand 2: Algebraic Expressions
- Factorising quadratic expressions
- Difference of two squares
- Manipulation of algebraic fractions with complex denominators
- Applying algebraic techniques to real problems
Sub-strand 3: Variables and Equations
- Solving quadratic equations by factorisation
- Simultaneous equations: algebraic methods
- Change of subject of a formula
- Word problems leading to simultaneous equations

Strand 3: Geometry and Measurement

Sub-strand 1: Shapes and Space
- Trigonometric ratios: sine, cosine and tangent
- Pythagoras theorem and its applications
- Angles of elevation and depression
- Loci and construction of loci
Sub-strand 2: Measurement
- Lengths and areas of sectors and segments
- Volume and surface area of pyramids, cones and spheres
- Rates involving area and volume
- Mensuration in real-life contexts
Sub-strand 3: Position and Transformation
- Matrix representation of transformations
- Inverse and combined transformations
- Vectors: addition, subtraction and scalar multiplication
- Position vectors and midpoint theorem

Strand 4: Handling Data

Sub-strand 1: Data
- Measures of dispersion: range, variance, standard deviation
- Box-and-whisker plots
- Scatter diagrams and line of best fit
- Interpretation and misrepresentation of statistics
Sub-strand 2: Chance or Probability
- Independent and dependent events
- Combined probability using tree diagrams
- Conditional probability
- Applications of probability in real life

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