Mathematics : Stage – 4, Level – Core

About Course

Our Stage 4 Core Mathematics online coaching helps students build a strong foundation in essential mathematical concepts while developing confidence and problem-solving skills. Through live online classes, clear explanations, worked examples, guided practice, and regular feedback, students learn to understand concepts thoroughly and apply them accurately.

Course Content

Number and Finance

• Whole numbers and integers
• Positive and negative numbers
• Fractions and decimals
• Percentages
• Ratios and rates
• Index notation and powers
• Square numbers and square roots
• Number properties
• Financial applications
• Percentage increase and decrease
• Rates and practical financial problems

Algebra and Equations

• Algebraic notation
• Variables and constants
• Algebraic expressions
• Collecting like terms
• Substitution
• Expansion
• Factorisation
• Algebraic patterns
• Linear equations
• Solving equations
• Equations arising from practical situations

Ratios and Rates

Linear and Non-linear Relationships

• Number patterns
• Algebraic patterns
• Coordinates
• Cartesian plane
• Tables of values
• Linear relationships
• Gradient
• Intercepts
• Graphing relationships
• Introduction to non-linear relationships

Pythagoras and Trigonometry

• Units of measurement

• Units of measurement
• Perimeter
• Area
• Triangles and quadrilaterals
• Circles
• Surface area
• Volume
• Capacity
• Composite shapes
• Practical measurement problems

Geometrical Properties and Figures

• Angle relationships
• Parallel and perpendicular lines
• Triangles
• Quadrilaterals
• Polygons
• Properties of geometric figures
• Symmetry
• Transformations
• Similarity and scale
• Geometric reasoning

Data Classification, Visualisation and Analysis

• Collecting data
• Classifying data
• Categorical and numerical data
• Tables
• Graphs
• Dot plots
• Stem-and-leaf plots
• Data displays
• Measures of centre
• Comparing datasets
• Interpreting data
• Drawing conclusions

Probability

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Mathematics : Stage – 4, Level – Core

About Course

Course Content

Number and Finance

• Whole numbers and integers

• Positive and negative numbers

• Fractions and decimals

• Percentages

• Ratios and rates

• Index notation and powers

• Square numbers and square roots

• Number properties

• Financial applications

• Percentage increase and decrease

• Rates and practical financial problems

Algebra and Equations

• Algebraic notation

• Variables and constants

• Algebraic expressions

• Collecting like terms

• Substitution

• Expansion

• Factorisation

• Algebraic patterns

• Linear equations

• Solving equations

• Equations arising from practical situations

Ratios and Rates

• Ratios

• Equivalent ratios

• Rates

• Unit rates

• Proportional reasoning

• Scale

• Applications involving rates and ratios

Linear and Non-linear Relationships

• Number patterns

• Algebraic patterns

• Coordinates

• Cartesian plane

• Tables of values

• Linear relationships

• Gradient

• Intercepts

• Graphing relationships

• Introduction to non-linear relationships

Pythagoras and Trigonometry

• Right-angled triangles

• Pythagoras’ theorem

• Finding unknown sides

• Applications of Pythagoras

• Introduction to trigonometric ratios

• Practical applications where appropriate

• Units of measurement

• Units of measurement

• Perimeter

• Area

• Triangles and quadrilaterals

• Circles

• Surface area

• Volume

• Capacity

• Composite shapes

• Practical measurement problems

Geometrical Properties and Figures

• Angle relationships

• Parallel and perpendicular lines

• Triangles

• Quadrilaterals

• Polygons

• Properties of geometric figures

• Symmetry

• Transformations

• Similarity and scale

• Geometric reasoning

Data Classification, Visualisation and Analysis

• Collecting data

• Classifying data

• Categorical and numerical data