Grade-wise curriculum

CBSE Grade 9 Mathematics Curriculum and Practice

Chapter-wise Grade 9 Mathematics practice aligned to the CBSE curriculum. Explore topics, skills, worksheets, and assignments for Number System, Introduction to Polynomials, Sequences and Progressions, Exploring Algebraic Identities, Linear Equations in Two Variables, and Coordinate Geometry, and more.

Aligned with CBSE curriculumSkill-wise practiceWorksheets and assignmentsProgress tracking after sign-in

Recommended starting points

Good places to begin.

1Number System

Real numbers, rational numbers, irrational numbers and visual representations

2Introduction to Polynomials

Algebraic expressions, polynomials, linear patterns and graph relationships

3Sequences and Progressions

Number patterns, explicit and recursive rules, AP, GP and applications

Chapter-wise curriculum

Chapters, topics, and skills

Check what is covered in this grade and where your child can start practicing.

Chapter 1

Chapter 1: Number System

Real numbers, rational numbers, irrational numbers and visual representations

8 topics10 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Rational Numbers

1 skill

Skill: Understand rational numbersRecognise rational numbers and their p/q form

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Topic: Number Line

1 skill

Skill: Represent rational numbers on the number linePlot and locate rational numbers on the number line

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Topic: Rational Properties

1 skill

Skill: Apply properties of rational numbersUse closure, commutativity, associativity and distributivity

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Topic: Density

2 skills

Skill: Explain density of rational numbersShow that infinitely many rational numbers lie between any two rational numbers

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Skill: Find rational numbers between two rational numbersGenerate rational numbers between a given pair

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Topic: Decimals

2 skills

Skill: Convert rational numbers to decimal formConvert fractions to terminating or recurring decimals

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Skill: Identify terminating and recurring decimalsClassify decimal expansions of rational numbers

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Topic: Irrational Numbers

1 skill

Skill: Understand irrational numbersRecognise non-repeating non-terminating decimals and irrational examples

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Topic: Irrational Proofs

1 skill

Skill: Prove irrationality of square rootsProve irrationality of numbers such as sqrt(2) and sqrt(3)

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Topic: Square Root Spiral

1 skill

Skill: Construct and interpret square root spiralBuild visual representations of irrational square roots

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Chapter 2

Chapter 2: Introduction to Polynomials

Algebraic expressions, polynomials, linear patterns and graph relationships

9 topics9 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Algebraic Expressions

1 skill

Skill: Understand algebraic expressionsIdentify variables, constants and operations in expressions

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Topic: Polynomials

1 skill

Skill: Define polynomialsDistinguish polynomials from non-polynomial expressions

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Topic: Polynomial Structure

1 skill

Skill: Identify terms, coefficients and constantsBreak a polynomial into terms, coefficients and constants

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Topic: Polynomial Degree

1 skill

Skill: Find degree of a polynomialDetermine degree for constant, linear and higher-degree polynomials

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Topic: Linear Polynomials

1 skill

Skill: Identify linear polynomialsRecognise and use first-degree polynomials

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Topic: Linear Modelling

1 skill

Skill: Model linear growth and decayRepresent real-life increase and decrease using linear expressions

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Topic: Linear Patterns

1 skill

Skill: Explore linear patternsFind rules behind linear numeric and visual patterns

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Topic: Slope Intercept

1 skill

Skill: Interpret slope and y-interceptUnderstand a and b in y = ax + b

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Topic: Linear Graphs

1 skill

Skill: Graph linear relationshipsDraw and interpret straight-line graphs from equations and tables

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Chapter 3

Chapter 3: Sequences and Progressions

Number patterns, explicit and recursive rules, AP, GP and applications

12 topics14 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Sequences

1 skill

Skill: Understand sequencesRecognise ordered lists of numbers and their structure

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Topic: Patterns

1 skill

Skill: Identify patterns and predict termsExtend sequences using observed patterns

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Topic: Explicit Rules

1 skill

Skill: Write explicit rules for sequencesDescribe nth term or general rule of a sequence

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Topic: Recursive Rules

1 skill

Skill: Write recursive rules for sequencesDefine terms using previous terms

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Topic: Rules

1 skill

Skill: Generate terms from sequence rulesUse explicit or recursive rules to list sequence terms

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Topic: Arithmetic Progression

2 skills

Skill: Identify arithmetic progressionsRecognise constant difference in APs

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Skill: Find nth term of an APUse AP nth-term rule in numerical and contextual problems

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Topic: AP Visualisation

1 skill

Skill: Visualise AP graphicallyRepresent APs using graphs or visual patterns

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Topic: Natural Number Sums

1 skill

Skill: Find sum of first n natural numbersUse and interpret the sum formula for natural numbers

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Topic: Geometric Progression

2 skills

Skill: Identify geometric progressionsRecognise constant ratio in GPs

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Skill: Find nth term of a GPUse GP nth-term rule in numerical and contextual problems

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Topic: GP Visualisation

1 skill

Skill: Visualise GP graphicallyRepresent GP growth using graphs or visual patterns

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Topic: Fractals

1 skill

Skill: Apply GP to fractalsUse geometric progression ideas in fractal patterns

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Topic: Tower of Hanoi

1 skill

Skill: Solve Tower of Hanoi pattern problemsUse recursive thinking in Tower of Hanoi sequences

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Chapter 4

Chapter 4: Exploring Algebraic Identities

Algebraic identities, visual models, factorisation and rational expressions

8 topics8 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Basic Identities

1 skill

Skill: Recall basic algebraic identitiesUse standard algebraic identities accurately

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Topic: Visual Models

1 skill

Skill: Visualise identities using geometric modelsConnect algebraic identities to area models

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Topic: Simplification

1 skill

Skill: Apply identities to simplify expressionsSimplify algebraic expressions using identities

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Topic: Factorisation

1 skill

Skill: Factorise expressions using identitiesBreak expressions into factors using standard identities

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Topic: Algebra Tiles

1 skill

Skill: Interpret quadratic factorisation using algebra tilesUse visual tiles to understand quadratic factors

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Topic: Quadratic Factorisation

1 skill

Skill: Factorise quadratic expressions without algebra tilesUse algebraic methods to factor quadratic expressions

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Topic: New Identities

1 skill

Skill: Discover or complete identitiesFind missing terms and form new identities

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Topic: Rational Expressions

1 skill

Skill: Simplify rational algebraic expressionsReduce rational expressions using factorisation

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Chapter 5

Chapter 5: Linear Equations in Two Variables

Linear equations, graphs, pairs of equations and real-life modelling

12 topics12 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Concepts

1 skill

Skill: Understand linear equations in two variablesRecognise equations involving x and y with linear terms

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Topic: Solutions

1 skill

Skill: Represent solutions as ordered pairsCheck and list ordered-pair solutions

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Topic: Graphing

1 skill

Skill: Draw graph of a linear equationPlot a straight-line graph using solution pairs

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Topic: Slope Intercept

1 skill

Skill: Interpret slope-intercept formUse y = mx + c to understand graph behaviour

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Topic: Restricted Graphs

1 skill

Skill: Draw graphs with restricted valuesGraph equations when x and y take only certain values

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Topic: Pair of Equations

1 skill

Skill: Understand pair of linear equationsRecognise simultaneous linear equations in two variables

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Topic: Graphical Solution

1 skill

Skill: Solve pair of equations graphicallyFind intersection point and interpret solution

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Topic: Nature of Solutions

1 skill

Skill: Determine consistency and inconsistencyClassify pairs as consistent, inconsistent or dependent

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Topic: Substitution

1 skill

Skill: Solve by substitution methodUse substitution to solve a pair of linear equations

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Topic: Elimination

1 skill

Skill: Solve by elimination methodUse elimination to solve a pair of linear equations

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Topic: Word Problems

1 skill

Skill: Model word problems using equationsTranslate real-life situations into linear equation pairs

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Topic: Interpretation

1 skill

Skill: Interpret conclusions from equation modelsDraw meaningful conclusions from solved models

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Chapter 6

Chapter 6: Coordinate Geometry

Cartesian plane, distance, midpoint and geometric verification using coordinates

8 topics8 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Coordinate System

1 skill

Skill: Understand Cartesian coordinate systemUse axes, origin, quadrants and ordered pairs

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Topic: Plotting

1 skill

Skill: Locate and name points on the coordinate planePlot points and identify their coordinates

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Topic: Relative Position

1 skill

Skill: Describe position of one point relative to anotherCompare locations using coordinate changes

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Topic: Grid Modelling

1 skill

Skill: Represent floor plans or maps on a gridModel real spaces using coordinate grids

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Topic: Distance

1 skill

Skill: Find distance between two pointsApply distance formula in the coordinate plane

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Topic: Collinearity

1 skill

Skill: Check whether three points are collinearUse coordinate reasoning to test straight-line alignment

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Topic: Midpoint

1 skill

Skill: Find midpoint of a line segmentCompute midpoint from endpoint coordinates

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Topic: Right Triangles

1 skill

Skill: Check whether a triangle is right-angled using coordinatesUse distances to verify right triangle properties

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Chapter 7

Chapter 7: Introduction to Euclid’s Geometry: Axioms and Postulates

Foundations of geometry, definitions, axioms, postulates and historical context

9 topics9 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: History

1 skill

Skill: Understand history and need for geometryExplain how geometry grew from practical needs

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Topic: Historical Contributions

1 skill

Skill: Recognise contributions of India, Egypt and GreeceConnect geometric ideas to historical civilisations

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Topic: Undefined Terms

1 skill

Skill: Understand point, line and surfaceRecognise intuitive geometric objects

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Topic: Foundations

1 skill

Skill: Understand definitions, axioms and postulatesDistinguish definitions, axioms and postulates

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Topic: Euclid Postulates

1 skill

Skill: State Euclid's five postulatesRecall and interpret Euclidean postulates

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Topic: Parallelism

1 skill

Skill: Define parallel lines using Euclidean ideasUse postulates to describe parallel lines

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Topic: Sulbasutra Construction

1 skill

Skill: Construct a square using Sulbasutra methodFollow geometric construction of a square from a given side

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Topic: Justification

1 skill

Skill: Justify simple constructions using axiomsUse axioms to explain construction steps

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Topic: Axiomatic Reasoning

1 skill

Skill: Apply axiomatic reasoning in geometryReason logically from definitions and postulates

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Chapter 8

Chapter 8: Lines and Angles

Rays, angle measures, intersecting lines, parallel lines, theorems and proofs

13 topics13 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Basics

1 skill

Skill: Understand rays and anglesRecognise rays and angle formation

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Topic: Measurement

1 skill

Skill: Measure anglesUse angle measures in degrees accurately

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Topic: Angle Types

1 skill

Skill: Classify anglesIdentify acute, right, obtuse, straight and reflex angles

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Topic: Intersecting Lines

1 skill

Skill: Understand intersecting linesIdentify relationships formed by intersecting lines

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Topic: Angle Pairs

1 skill

Skill: Identify angle pairsRecognise adjacent, complementary, supplementary and linear pairs

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Topic: Linear Pair

1 skill

Skill: Apply linear pair theoremUse linear pair theorem to find unknown angles

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Topic: Linear Pair Converse

1 skill

Skill: Apply converse of linear pair theoremUse converse reasoning for straight-line angle relationships

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Topic: Vertically Opposite Angles

1 skill

Skill: Prove vertically opposite angles are equalUse logical proof for vertically opposite angles

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Topic: Transversal Angles

1 skill

Skill: Identify transversal angle pairsRecognise corresponding, alternate and co-interior angles

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Topic: Parallel Lines

1 skill

Skill: Apply parallel line and transversal propertiesSolve angle problems involving parallel lines

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Topic: Parallelism

1 skill

Skill: Understand transitivity of parallelismUse transitivity to reason about parallel lines

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Topic: Proofs

1 skill

Skill: Use proof by contradiction in angle problemsApply indirect reasoning in geometry

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Topic: Triangle Angle Reasoning

1 skill

Skill: Reason about triangle angle constraintsExplain constraints such as at least two acute angles

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Chapter 9

Chapter 9: Triangles – Congruence Theorems

Triangle rigidity, congruence conditions, converses and proof-based reasoning

16 topics16 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Rigidity

1 skill

Skill: Understand rigidity of trianglesExplain why triangles are structurally rigid

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Topic: Applications

1 skill

Skill: Identify practical uses of triangle rigidityConnect triangle rigidity to real structures

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Topic: Congruence

1 skill

Skill: Understand triangle congruenceDescribe meaning of congruent triangles

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Topic: Correspondence

1 skill

Skill: Match corresponding sides and anglesMap vertices, sides and angles between triangles

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Topic: SAS

1 skill

Skill: Apply SAS congruenceUse side-angle-side congruence condition

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Topic: SSS

1 skill

Skill: Apply SSS congruenceUse side-side-side congruence condition

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Topic: ASA

1 skill

Skill: Apply ASA congruenceUse angle-side-angle congruence condition

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Topic: RHS

1 skill

Skill: Apply RHS congruenceUse right angle-hypotenuse-side congruence condition

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Topic: AAS

1 skill

Skill: Apply AAS congruenceUse angle-angle-side congruence condition

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Topic: Isosceles Triangles

1 skill

Skill: Prove properties of isosceles trianglesProve equal sides and equal base angles relationships

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Topic: Propositions

1 skill

Skill: Understand propositions and conversesIdentify statements and their converses

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Topic: Converses

1 skill

Skill: Judge whether converse statements are true or falseEvaluate validity of converse statements

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Topic: Counterexamples

1 skill

Skill: Use counterexamples for false conversesDisprove false statements with examples

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Topic: SSA

1 skill

Skill: Explain why SSA is not generally validUnderstand ambiguous SSA cases

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Topic: SSA Exceptions

1 skill

Skill: Identify special cases where SSA worksUse conditions where SSA leads to congruence

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Topic: Diagram Accuracy

1 skill

Skill: Justify the role of diagram accuracyUnderstand why diagrams support but do not replace proof

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Chapter 10

Chapter 10: 4-gons (Quadrilaterals)

Quadrilateral properties, parallelograms, midpoint theorem, symmetry and tiling

13 topics15 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Definitions

1 skill

Skill: Define 4-gons preciselyUse accurate definitions for quadrilaterals

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Topic: Classification

1 skill

Skill: Identify types of quadrilateralsClassify quadrilaterals by sides, angles and symmetry

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Topic: Parallelogram Proofs

1 skill

Skill: Prove parallelogram characterisationsUse equivalent properties to prove a parallelogram

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Topic: Parallelogram Properties

1 skill

Skill: Apply parallelogram propertiesSolve problems using sides, angles and diagonals

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Topic: Midpoint Theorem

2 skills

Skill: Prove midpoint theoremProve theorem connecting side midpoints in triangles

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Skill: Apply midpoint theoremUse midpoint theorem in numerical and proof problems

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Topic: Converse Theorem

1 skill

Skill: Prove converse of midpoint theoremUse converse reasoning with midpoint theorem

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Topic: Medians

2 skills

Skill: Prove medians of a triangle are concurrentUnderstand concurrency of medians

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Skill: Apply 2:1 median division propertyUse centroid division ratio in problems

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Topic: Midpoint Quadrilateral

1 skill

Skill: Prove midpoint quadrilateral is a parallelogramShow Varignon-style midpoint result

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Topic: Coordinate Applications

1 skill

Skill: Use coordinates for midpoint and fourth vertexFind midpoint and missing parallelogram vertex

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Topic: Reflection Symmetry

1 skill

Skill: Understand reflection symmetry in 4-gonsIdentify mirror symmetry in quadrilaterals

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Topic: Rotation Symmetry

1 skill

Skill: Understand rotation symmetry in 4-gonsIdentify rotational symmetry in quadrilaterals

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Topic: Tiling

1 skill

Skill: Explore tiling using 4-gonsUnderstand how quadrilaterals can tile a plane

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Topic: Logical Converses

1 skill

Skill: Form logical converses of quadrilateral theoremsWrite and test converse statements

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Chapter 11

Chapter 11: Circles

Circle terminology, chords, arcs, circumcentres, cyclicity and circle theorems

20 topics20 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Circle Terms

1 skill

Skill: Understand circle termsUse centre, radius, diameter, chord, arc, segment and sector

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Topic: Applications

1 skill

Skill: Identify practical uses of circlesConnect circles to wheels, technology and designs

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Topic: Unique Circle

1 skill

Skill: Prove unique circle through three non-collinear pointsUnderstand existence and uniqueness of a circle

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Topic: Circumcircle

1 skill

Skill: Construct circumcircle and circumcentre of a triangleConstruct circle through triangle vertices

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Topic: Circumcentre

1 skill

Skill: Locate circumcentre for triangle typesClassify circumcentre location for acute, right and obtuse triangles

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Topic: Arc Angles

1 skill

Skill: Understand angles subtended by arcsExplain angle subtended by an arc at centre and circumference

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Topic: Equal Chords

1 skill

Skill: Apply equal chords subtend equal angles theoremUse chord-angle relationships at centre

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Topic: Equal Chords Converse

1 skill

Skill: Apply converse of equal chords theoremInfer chord equality from equal centre angles

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Topic: Chord Perpendicular

1 skill

Skill: Apply perpendicular from centre to chord theoremUse centre-to-chord perpendicular property

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Topic: Chord Bisector

1 skill

Skill: Apply chord bisector theoremUse perpendicular from centre to bisect chords

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Topic: Chord Distance

1 skill

Skill: Relate chord length and distance from centreSolve chord distance problems

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Topic: Unequal Chords

1 skill

Skill: Compare unequal chords by distance from centreDetermine longer chord using centre distance

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Topic: Diameter

1 skill

Skill: Understand diameter as longest chordUse diameter as maximum chord property

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Topic: Arc Angle Theorem

1 skill

Skill: Apply centre-angle and circumference-angle theoremUse angle at centre double angle at circumference

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Topic: Same Segment

1 skill

Skill: Apply angles in same segment theoremSolve same-segment circle angle problems

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Topic: Semicircle

1 skill

Skill: Apply angle in semicircle theoremRecognise right angles in semicircles

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Topic: Cyclic Figures

1 skill

Skill: Identify cyclic quadrilateralsDetermine when points or quadrilaterals are cyclic

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Topic: Cyclic Theorem

1 skill

Skill: Apply opposite angles of cyclic quadrilateral theoremUse supplementary opposite angles and converse

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Topic: Cultural Motifs

1 skill

Skill: Recognise cultural circle motifsConnect circles to Ashoka Chakra, Dharmachakra and other motifs

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Topic: Circle Reasoning

1 skill

Skill: Solve multi-step circle reasoning problemsCombine circle theorems in logical problems

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Chapter 12

Chapter 12: Area and Perimeter

Perimeter, circumference, arc length, plane area, Heron formula, sectors and Brahmagupta formula

17 topics20 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Perimeter

2 skills

Skill: Understand perimeter as boundary lengthExplain perimeter as total length around a shape

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Skill: Calculate perimeter of polygonsFind perimeter of rectangles and polygons

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Topic: Pi and Circumference

1 skill

Skill: Understand circumference and piExplain constant circumference-to-diameter ratio

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Topic: Pi History

1 skill

Skill: Recognise historical approximations of piKnow approximations by Archimedes, Aryabhata and Zu Chongzhi

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Topic: Circumference

1 skill

Skill: Calculate circumference of a circleUse circle circumference formula

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Topic: Arc Length

1 skill

Skill: Calculate length of an arcUse arc length formula with angle and radius

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Topic: Applications

1 skill

Skill: Apply perimeter and arc length in real-world contextsSolve real-life boundary and arc problems

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Topic: Area Basics

3 skills

Skill: Calculate area of rectanglesUse rectangle area in simple and composite shapes

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Skill: Calculate area of parallelogramsUse base and height for parallelogram area

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Skill: Calculate area of trianglesUse base-height triangle area formula

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Topic: Triangle Area Reasoning

1 skill

Skill: Explain median divides triangle into equal areasUse equal-base equal-height reasoning

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Topic: Heron Formula

1 skill

Skill: Apply Heron's formulaFind triangle area from side lengths

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Topic: Sulbasutra Area

1 skill

Skill: Understand squaring a rectangle using SulbasutraConnect ancient constructions with area reasoning

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Topic: Circle Area Derivation

1 skill

Skill: Understand derivation of area of a circleExplain circle area conceptually

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Topic: Circle Area

1 skill

Skill: Calculate area of a circleUse area formula for circles

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Topic: Sector Area

1 skill

Skill: Calculate area of sectorUse angle-based sector area formula

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Topic: Segments

1 skill

Skill: Solve area of sector and segment problemsFind sector and segment areas in circle problems

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Topic: Brahmagupta Formula

1 skill

Skill: Apply Brahmagupta's formulaFind area of cyclic quadrilaterals using side lengths

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Topic: Special Cases

1 skill

Skill: Explain Heron's formula as special case of Brahmagupta's formulaUnderstand formula relationships

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Topic: Generalisation

1 skill

Skill: Understand generalisation and special cases in mensurationConnect formulas through generalisation

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Chapter 13

Chapter 13: Surface Area and Volume

Surface area and volume of cuboids, cubes, cylinders, cones, pyramids, spheres and hemispheres

9 topics20 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: 3D Recognition

1 skill

Skill: Recognise cubes and cuboids in real lifeIdentify cuboids and cubes in practical situations

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Topic: Cuboid

2 skills

Skill: Calculate surface area of cuboidFind total and relevant surface areas

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Skill: Calculate volume of cuboidCompute volume using length, breadth and height

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Topic: Cube

3 skills

Skill: Explain cube as special case of cuboidRelate cube and cuboid properties

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Skill: Calculate surface area of cubeFind cube surface area

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Skill: Calculate volume of cubeFind cube volume

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Topic: Cylinder

3 skills

Skill: Describe cylinder using radius and heightRecognise and define right circular cylinders

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Skill: Calculate surface area of cylinderFind curved and total surface areas of cylinders

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Skill: Calculate volume of cylinderCalculate cylinder volume

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Topic: Cone

3 skills

Skill: Recognise cones in real lifeIdentify cones and their dimensions

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Skill: Calculate surface area of coneFind curved and total surface areas of cones

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Skill: Calculate volume of coneCalculate cone volume

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Topic: Pyramid

3 skills

Skill: Recognise pyramids and identify base and apexUnderstand pyramid elements

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Skill: Calculate surface area of pyramidFind surface area of pyramids in suitable cases

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Skill: Calculate volume of pyramidCalculate pyramid volume

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Topic: Sphere and Hemisphere

3 skills

Skill: Recognise spheres and hemispheresIdentify spherical shapes and hemispheres

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Skill: Calculate surface area of sphere and hemisphereFind surface area of spherical solids

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Skill: Calculate volume of sphere and hemisphereFind volume of spherical solids

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Topic: Dimension Analysis

1 skill

Skill: Compare surface areas and volumes by changing dimensionsAnalyse how changes in dimensions affect measures

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Topic: Mixed 3D Problems

1 skill

Skill: Solve mixed 3D mensuration problemsCombine formulas in multi-step 3D problems

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Chapter 14

Chapter 14: Statistics

Data collection, organisation, graphical representation and measures of central tendency

12 topics12 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Data Collection

1 skill

Skill: Collect data for a statistical questionPlan and collect data to answer a question

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Topic: Data Organisation

1 skill

Skill: Organise raw dataArrange data in tables and meaningful categories

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Topic: Data Visualisation

1 skill

Skill: Visualise data using suitable graphsChoose and create appropriate graph types

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Topic: Graph Interpretation

1 skill

Skill: Interpret data from graphsRead trends and comparisons from graphs

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Topic: Mean

1 skill

Skill: Calculate meanCompute arithmetic mean for datasets

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Topic: Median

1 skill

Skill: Calculate medianFind median for ordered datasets

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Topic: Mode

1 skill

Skill: Calculate modeFind most frequent value or category

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Topic: Weighted Average

1 skill

Skill: Compute weighted averageUse weights in average calculations

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Topic: Stacked Bar Graphs

1 skill

Skill: Interpret stacked bar graphsRead part-to-whole comparisons from stacked bars

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Topic: 100 Percent Stacked Graphs

1 skill

Skill: Interpret 100 percent stacked bar graphsCompare proportions across categories

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Topic: Representation Choice

1 skill

Skill: Choose appropriate representation for dataSelect graph type based on the statistical question

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Topic: Decision Making

1 skill

Skill: Use mean, median and mode for decision-makingUse central tendency to support conclusions

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Chapter 15

Chapter 15: Introduction to Probability

Randomness, probability scale, empirical probability, theoretical probability, sample space, tables and tree diagrams

12 topics15 skillsWorksheets available

Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Randomness

2 skills

Skill: Understand randomnessExplain chance and uncertainty in outcomes

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Skill: Identify random and non-random situationsClassify situations by whether outcomes are uncertain

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Topic: Probability Scale

1 skill

Skill: Interpret probability scale from 0 to 1Understand impossible, certain and likely events

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Topic: Likelihood

1 skill

Skill: Compare likelihood of eventsOrder events by chance of occurrence

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Topic: Empirical Probability

2 skills

Skill: Understand empirical probabilityExplain probability based on observed trials or data

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Skill: Calculate empirical probability from dataCompute probability from frequencies

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Topic: Experiments

1 skill

Skill: Estimate probability from experimentsUse repeated trials to estimate probabilities

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Topic: Theoretical Probability

2 skills

Skill: Understand theoretical probabilityUse equally likely outcomes conceptually

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Skill: Calculate theoretical probabilityApply favourable outcomes over total outcomes

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Topic: Sample Space

1 skill

Skill: Identify sample spaceList all possible outcomes

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Topic: Events

1 skill

Skill: Identify eventsDescribe event sets within sample spaces

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Topic: Tables

1 skill

Skill: Represent outcomes using tablesUse tables to organise compound outcomes

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Topic: Tree Diagrams

1 skill

Skill: Represent outcomes using tree diagramsUse tree diagrams for sequential outcomes

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Topic: Comparison

1 skill

Skill: Compare empirical and theoretical probabilityUnderstand why experimental results may differ from theory

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Topic: Simulation

1 skill

Skill: Use simulation or pattern recognition to model probabilityModel random experiments through repeated procedures

Practice area

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Practice options

Use worksheets and assignments to move from curriculum review into practice.

20 questions

Real Numbers in Action

Now that you understand number types, it’s time to perform operations. Practice addition, subtraction, multiplication, and division of rational numbers with increasing complexity. Skills Covered: Operations on rational numbers Simplification Applying rules of signs

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10 questions

Number Detective: Rational or Irrational?

Start your journey into the Number System by learning how to identify rational and irrational numbers. This assignment builds foundational understanding through simple examples, number patterns, and visual hints. Perfect for beginners to gain confidence. Skills Covered: Identifying rational vs irrational numbers Understanding decimal expansion (terminating / non-terminating)

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