Ch-1 Integers & the Number System
• All operations on integers
• Order of operations with integers
• Absolute value
• Real-world integer applications: temperature, altitude, finance
Ch-2 Index Notation & Prime Factorisation
• Index notation: evaluating expressions
• Index laws: multiplication and division of like bases
• Prime factorisation using factor trees
• HCF and LCM using prime factorisation
Ch-3 Fractions, Decimals & Percentages
• All four operations with fractions
• Converting fluently between fractions, decimals, and percentages
• Percentage of an amount, percentage change, original amount
• Recurring decimals: identifying and expressing
Ch-4 Ratios, Rates & Proportions
2 Exercises
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2 Learning Materials
• Simplifying and comparing ratios
Simplifying and Comparing Ratios
Ch-5 Algebra — Expressions & Equations
• Variables and algebraic expressions
• Simplifying: collecting like terms and the distributive law
• Expanding single brackets
• Solving one-, two-, and three-step linear equations
• Using equations to model word problems
Ch-6 Linear Patterns & Graphs
• Identifying linear patterns from tables
• Writing equations of linear relationships
• Graphing linear relationships on the Cartesian plane
• Gradient and y-intercept: meaning and identification
Ch-7 Perimeter, Area & Circumference
• Perimeter and area of triangles and quadrilaterals
• Circumference and area of circles
• Area of composite shapes including circular sections
• Unit conversions within the metric system
Ch-8 Surface Area & Volume
• Surface area of prisms and cylinders
• Volume of prisms and cylinders
• Volume of pyramids and cones (introductory)
• Applying volume and capacity conversions
Ch-9 Angles & Geometric Reasoning
• Angles with parallel lines: corresponding, alternate, co-interior
• Angle sum of polygons
• Exterior angles of triangles and polygons
• Reasoning and justification using angle properties
Ch-10 Congruence & Transformations
• Congruence criteria: SSS, SAS, AAS, RHS
• Identifying congruent figures
• Transformations: translation, reflection, rotation, dilation
• Combining transformations
Ch-11 Data Collection & Representation
• Census vs sample: advantages and limitations
• Frequency tables and histograms
• Stem-and-leaf plots and dot plots
• Selecting appropriate displays for different data types
• Theoretical probability: sample space
• Venn diagrams: two events
• Tree diagrams for multi-step experiments
• Experimental probability and relative frequency