Mathematics Complete Curriculum & Syllabus
Advance step-by-step through 10 structured progressive levels, taking learners from foundational core concepts to expert mastery. Explore the full syllabus below before enrolling.
Unlock All 10 Levels for Mathematics
Get complete access to all modules, practical lessons, interactive quizzes, and advanced tracking tools designed to accelerate skill mastery.
Everything You Need to Succeed in Mathematics
Our platform combines rigorous academic standards with engaging management tools built specifically to empower teachers, parents, and students alike.
Teacher/Parent Dashboard
Take complete control of education management. Assign seats, monitor overall group activity, and configure learning paths effortlessly from a centralized hub.
Student/Child Dashboard
An intuitive, distraction-free interface designed for learners. Easily navigate active lessons, pick up right where they left off, and view upcoming milestones.
Detailed Progress Reports
Never guess where a learner stands. Access granular analytics on quiz scores, module completion timelines, and skill proficiency gaps instantly.
Certificates of Completion
Celebrate academic milestones! Earn official, verifiable digital certificates with unique identification numbers upon mastering subject criteria.
Interactive Kanban Board
Organize daily study goals like a pro. Use our built-in drag-and-drop task workflow board to manage to-dos, assignments, and study schedules.
Star & Milestone Tracking
Keep motivation soaring high! Earn rewarding stars and precious gems for every correct answer and completed lesson to unlock achievements.
Comprehensive 10-Level Syllabus
Review the exact modules and learning milestones included inside every level of our Mathematics program.
Level 1 — Number Nest: Counting & Early Arithmetic
The perfect first step into mathematics. Learners count confidently to 100, master addition and subtraction facts within 20, explore 2D and 3D shapes and patterns, and meet measurement, money, time and picture graphs — all through friendly, theory-based lessons where every answer comes with a full explanation.
Included Modules (6)
Count forward and backward to 100, read and write numbers from 1 to 100, compare groups an...
Add with pictures and objects, master the facts to 10 and 20, use doubles and the make-ten...
Take away to find what is left, master subtraction facts to 10 and 20, connect plus and mi...
Meet flat and solid shapes, count sides and corners, spot repeating and growing patterns,...
Compare and measure length and weight with everyday objects, meet coins, buying and change...
One independent 50-question test covering every Level 1 module: counting and ordering, add...
Level 2 — Place Value Peak: Bigger Numbers & New Operations
Climb to bigger numbers with confidence. Learners master hundreds, tens and ones up to 1000, compare and order 3-digit numbers, add and subtract with column methods and regrouping, measure in centimetres and metres, work with money and change, tell time to five minutes, and explore shapes, symmetry and graphs — all through theory-based lessons where every answer comes with a full explanation.
Included Modules (6)
Meet hundreds, tens and ones. Read, write, compare and order numbers up to 1000, and skip...
Build addition power: fluency facts to 20, mental jumps of tens and hundreds, tidy column...
Subtract fluently to 20, jump back by tens and hundreds, use tidy column methods, borrow a...
Measure lengths in centimetres and metres, estimate and compare, count money and work out...
Explore flat and solid shapes, count sides, faces, edges and vertices, find lines of symme...
A 50-question mixed test across place value, addition, subtraction, measurement, money, ti...
Level 3 — Multiplication Meadow: Times Tables, Division & Early Fractions
Step into the Multiplication Meadow! Learners master the meaning of multiplication and every times table to 10 × 10, meet division as sharing, grouping and remainders, voyage beyond 1000 to numbers up to 10,000 with rounding and patterns, take their first real steps with fractions, and apply it all to money, time, data, turns and perimeter — all through theory-based lessons where every answer comes with a full explanation.
Included Modules (6)
Discover what multiplication really means — equal groups, repeated addition and arrays — t...
Learn division as fair sharing and equal grouping, use times tables backwards to divide, m...
Voyage past one thousand: read and build numbers to 10,000, compare and order 4-digit numb...
Meet fractions properly: equal parts and unit fractions, numerators and denominators, frac...
Put multiplication and division to work: add money and give change, find time durations, r...
A 50-question mixed test across times tables, division and remainders, numbers to 10,000,...
Level 4 — Fraction Forest: Fractions, Decimals & Measurement
Wander into the Fraction Forest! Learners master equivalent and simplified fractions, compare and add them, meet mixed numbers and fractions of quantities, then cross into Decimal Dell to tame tenths and hundredths. Measurement Market builds confidence with unit conversions, perimeter and area, Geometry Grove explores angles, shapes, symmetry and coordinates, and Data Discovery reads graphs, tables, averages and chance — all through theory-based lessons where every answer comes with a full explanation.
Included Modules (6)
Pitch camp among the fraction trees! Learn to spot equivalent fractions, simplify to lowes...
Descend into Decimal Dell! Meet tenths and hundredths, master decimal place value, compare...
Trade in units at the Measurement Market! Convert lengths (km, m, cm, mm), masses (kg, g)...
Explore the Geometry Grove! Classify angles as right, acute or obtuse, sort triangles by s...
Become a data detective! Read and draw bar graphs, scaled pictographs and line graphs, bui...
A 50-question mixed test across equivalent and simplified fractions, comparing and adding...
Level 5 — Percent Plateau: Ratios, Percentages & Integers
Climb to the Percent Plateau! Learners discover what percent really means, swing between fractions, decimals and percentages, and use percentages of quantities in real-life problems. Ratio Ridge introduces comparing and sharing with ratios and map scales, the Integer Icefield explores numbers below zero, the Factor and Multiple Factory drills factors, HCF, LCM, primes and square numbers, and the Data Detectives master mean, median, mode, range, graphs and probability — all through theory-based lessons where every answer comes with a full explanation.
Included Modules (6)
Set up base camp on the Percent Plateau! Discover what percent means, convert between frac...
Hike along Ratio Ridge! Learn ratio language, build equivalent ratios, simplify them to si...
Skate onto the Integer Icefield! Meet numbers below zero, travel the number line in both d...
Run the Factor & Multiple Factory! Sort factors and common factors, stack multiples and LC...
Solve cases as a Data Detective! Master mean, median, mode and range, hunt missing values...
A 50-question mixed test across percentages (meaning, conversions, quantities, comparing,...
Level 6 — Pre-Algebra Port: Expressions, Equations & Negatives
Dock at the Pre-Algebra Port! In Variable Village learners meet variables, write and simplify algebraic expressions, substitute values, expand brackets with the distributive property and translate words into algebra. Equation Estuary treats every equation as a balance scale and solves one-step and two-step equations with checks and real-life word problems. Negative Numbers Narrows masters the sign rules for multiplying and dividing integers, powers with negative bases, the order of operations, everyday negative numbers and all four coordinate quadrants. Pattern Pier feeds function machines, term-to-term rules, position tables, the nth term and special sequences such as square and triangle numbers. Geometry Gate adds angle rules on lines and around points, triangle and quadrilateral angle sums, areas of triangles and parallelograms, cuboid volume, and nets and surface area — all through theory-based lessons where every answer comes with a full explanation.
Included Modules (6)
Enter Variable Village, where letters stand for numbers! Learn what variables are, write a...
An equation is a balanced scale. Keep both sides equal while you undo operations step by s...
Dive below zero! Master the sign rules for multiplying and dividing integers, meet powers...
Stroll down Pattern Pier! Feed numbers into function machines, describe sequences with ter...
Pass through Geometry Gate! Master angle rules on straight lines and around points, angle...
A 50-question mixed test across expressions and substitution, equations, integer operation...
Level 7 — Algebra Bay: Linear Equations, Systems & Pythagoras
Sail into Algebra Bay! Equation Anchorage solves multi-step linear equations with variables on both sides, brackets and fractions, and rearranges formulas with confidence. System Strait pairs up simultaneous equations and solves them by substitution, elimination and graph intersections, then applies them to tickets, money and mixes. Pythagoras Point proves a² + b² = c² and uses it to find hypotenuses, legs, triples and real-world distances like ladders, diagonals and ramps. Straight-Line Shore plots lines from tables, masters gradient and the form y = mx + c, builds equations from points and models real-life costs. Inequality Inlet reads, solves and graphs inequalities — including the sign-flip rule for negatives — and turns stories like budgets into solution ranges. Every lesson is theory-based and every answer option comes with a full explanation.
Included Modules (6)
Drop anchor at Equation Anchorage! Solve linear equations with variables on both sides, cl...
Navigate System Strait, where two equations sail together! Check solution pairs, solve by...
Plant your flag at Pythagoras Point! Meet a² + b² = c², find hypotenuses and legs, recogni...
Walk the Straight-Line Shore! Build tables and plot lines, measure gradient as rise over r...
Drift into Inequality Inlet! Read <, >, ≤ and ≥, draw solutions on number lines, solve one...
A 50-question mixed test across multi-step equations and formulas, simultaneous equations...
Level 8 — Geometry Gulf: Quadratics, Trigonometry & Functions
Cross the Geometry Gulf! Quadratic Cove expands double brackets with FOIL, factorises x² + bx + c by hunting factor pairs, wields the special products — perfect squares and the difference of two squares — solves equations with the zero-product rule and sketches parabolas from their key features. Trigonometry Trench names the sides of right triangles, then puts tangent, sine and cosine (SOH-CAH-TOA) to work finding sides, angles, ladders, kites and cliff distances. Function Fathom runs function machines forwards and backwards, reads f(x) notation, maps domains and ranges, sorts graph families and prices pizzas with formulas. Transformation Terminal slides, flips, turns and zooms shapes with vectors, mirror lines, rotation rules and scale factors, then chains transformations and tests congruence. Polygon Point sums triangle and quadrilateral angles, counts polygon interiors as (n − 2) triangles, walks exterior angles around regular polygons and chases angles through Z, F, C and X patterns. Every lesson is theory-based and every answer option comes with a full explanation.
Included Modules (6)
Dive into Quadratic Cove! Expand double brackets with the FOIL grid, factorise x² + bx + c...
March through the Trigonometry Trench! Label the hypotenuse, opposite and adjacent sides,...
Plumb the depths of Function Fathom! Run function machines forwards and backwards, decode...
Board every ride at the Transformation Terminal! Slide shapes with translation vectors, fl...
Summit at Polygon Point! Total the angles of triangles and quadrilaterals, extend sides to...
A 50-question mixed test across expanding and factorising quadratics, special products, so...
Maths Virtuoso
Level 9 demands near-mastery: command surds and indices, conquer quadratics and simultaneous equations, navigate coordinate geometry, prove your way through circle theorems, and finish with trigonometry, mensuration, statistics and probability across 300 fully explained challenges.
Included Modules (6)
Open Level 9 by mastering the real number system: classify rational and irrational numbers...
Build full algebraic fluency: manipulate expressions and algebraic fractions, factorise ev...
Turn algebra into pictures: measure distances with the distance formula, split segments wi...
Prove and apply the great results of Euclidean geometry: congruence and similarity tests,...
Handle curved solids with surface area and volume formulae, measure inaccessible heights w...
A 50-question capstone sampling every Level 9 module - number, algebra, coordinate geometr...
Maths Grandmaster
The summit of the journey. Level 10 perfects the function toolkit, then opens the gates of calculus: limits, derivatives, tangents, optimisation, kinematics, integration and exact areas, before closing with the exponential and logarithmic family and the calculus of e^x and ln x. Conquer these 300 fully explained challenges to claim the grandmaster crown.
Included Modules (6)
Open the summit by perfecting the function toolkit: compose functions in either order, inv...
Build the bridge from algebra to calculus: read and evaluate limits, crack indeterminate 0...
Put derivatives to work: construct tangents and normals, track where curves rise and fall,...
Reverse the engine of calculus: recover functions from their derivatives, integrate term b...
Master the exponential family: the number e and its function, exponential graphs and model...
A 50-question capstone sampling every Level 10 module - functions, limits, differentiation...
Frequently Asked Questions
Everything you need to know about enrolling and learning Mathematics on WordThesauri.
How are the 10 progressive levels structured for Mathematics? +
Every subject is broken down into 10 structured levels moving systematically from foundational basics to expert proficiency, featuring modular units and interactive practice lessons.
Can I track my child or student’s progress in real-time? +
Yes! The Teacher/Parent Dashboard provides detailed progress reports, star & milestone tracking, and completion analytics for every student.
Is the first lesson of Mathematics really free? +
Yes. The first lesson is completely free to try. Every other lesson shows Upgrade to learn until you enroll in the full annual subscription.
How does the student seat pricing work for classrooms or families? +
You can purchase licenses per student seat on an annual subscription basis. Each student receives their own dedicated dashboard, rewards, and Kanban task board.
Are certificates awarded upon completing the course? +
Yes, students earn official Certificates of Completion as they conquer modules and milestones across the curriculum.
Why Choose WordThesauri for Mathematics Mastery?
Welcome to WordThesauri premier online learning track for Mathematics. Built specifically for independent learners, homeschoolers, and classroom educators, our curriculum breaks down complex topics into 10 structured, bite-sized progressive levels.
Structured for Permanent Skill Retention
Every level features carefully curated modules and practice lessons equipped with step-by-step worked solutions, real-time analytics, and milestone rewards. Whether you are starting from absolute fundamentals or advancing toward expert proficiency, our interactive platform guarantees steady academic growth.
Flexible Enrollment & Group Pricing
Parents and teachers can easily scale seats across multiple students using our annual subscription model, complete with dedicated child dashboards, printable certificates of completion, and automated progress reports. Try the first lesson for free today!