Open Free Books https://openfreebooks.org/ Recent updates to Open Free Books pages and live chapters. Thu, 21 May 2026 07:32:39 GMT Linear programming https://openfreebooks.org/math/linear-programming/ https://openfreebooks.org/math/linear-programming/ Thu, 21 May 2026 07:32:39 GMT Graph linear inequalities, identify feasible regions, and optimise objective functions in two variables. Factor & remainder theorems https://openfreebooks.org/math/factor-remainder-theorems/ https://openfreebooks.org/math/factor-remainder-theorems/ Thu, 21 May 2026 07:32:39 GMT Use the factor and remainder theorems to factorise higher-degree polynomials and solve related equations. Exponential & logarithmic functions https://openfreebooks.org/math/exponential-logarithmic/ https://openfreebooks.org/math/exponential-logarithmic/ Thu, 21 May 2026 07:32:39 GMT Use exponential and logarithmic models, apply log laws, and solve growth and decay equations. Complex numbers https://openfreebooks.org/math/complex-numbers/ https://openfreebooks.org/math/complex-numbers/ Thu, 21 May 2026 07:32:39 GMT Represent complex numbers in Cartesian form and perform operations including conjugates and division. Functions & graphs https://openfreebooks.org/math/functions-graphs/ https://openfreebooks.org/math/functions-graphs/ Thu, 21 May 2026 07:32:39 GMT Model input-output rules, work with domain and range, and sketch key function graphs and transformations. Sequences & series https://openfreebooks.org/math/sequences-series/ https://openfreebooks.org/math/sequences-series/ Thu, 21 May 2026 07:32:39 GMT Work with arithmetic and geometric sequences, sigma notation, and finite summation formulas. Variations https://openfreebooks.org/math/variations/ https://openfreebooks.org/math/variations/ Thu, 21 May 2026 07:32:39 GMT Model direct, inverse, joint, and partial variation and solve combined variation problems. Laws of indices https://openfreebooks.org/math/laws-of-indices/ https://openfreebooks.org/math/laws-of-indices/ Thu, 21 May 2026 06:54:57 GMT Apply index laws to simplify expressions with integer and rational exponents. Linear inequalities in one unknown https://openfreebooks.org/math/linear-inequalities-one-unknown/ https://openfreebooks.org/math/linear-inequalities-one-unknown/ Thu, 21 May 2026 06:54:57 GMT Solve, represent, and apply linear inequalities in one unknown using number lines and interval notation. Counting and numbers https://openfreebooks.org/math/counting-and-numbers/ https://openfreebooks.org/math/counting-and-numbers/ Thu, 21 May 2026 05:05:38 GMT Count objects, spot patterns, add, multiply, and divide; then meet place value and big numbers from hundreds to billions. Linear equations in two unknowns https://openfreebooks.org/math/linear-equations-two-unknowns/ https://openfreebooks.org/math/linear-equations-two-unknowns/ Thu, 21 May 2026 05:05:38 GMT Solve pairs of linear equations by substitution, elimination, and graphs; classify unique, parallel, and coincident cases. Written calculation https://openfreebooks.org/math/written-calculation/ https://openfreebooks.org/math/written-calculation/ Thu, 21 May 2026 05:05:38 GMT Add, subtract, multiply, and divide whole numbers using vertical written form: align columns, regroup, and read the result. English https://openfreebooks.org/english/ https://openfreebooks.org/english/ Thu, 21 May 2026 02:10:55 GMT Browse English chapters in the curriculum catalog. Reading comprehension foundations https://openfreebooks.org/english/reading-comprehension-foundations/ https://openfreebooks.org/english/reading-comprehension-foundations/ Thu, 21 May 2026 02:10:55 GMT Find the main idea, key details, and evidence in short texts. FAQ https://openfreebooks.org/faq/ https://openfreebooks.org/faq/ Thu, 21 May 2026 02:10:55 GMT FAQ Physics https://openfreebooks.org/physics/ https://openfreebooks.org/physics/ Thu, 21 May 2026 02:10:55 GMT Browse physics chapters in the curriculum catalog. Force and Newton's laws https://openfreebooks.org/physics/force-newtons-laws/ https://openfreebooks.org/physics/force-newtons-laws/ Thu, 21 May 2026 02:10:55 GMT Use free-body diagrams, F = ma, and motion graphs to predict how objects move. Basic math notation https://openfreebooks.org/math/basic-math-notation/ https://openfreebooks.org/math/basic-math-notation/ Thu, 21 May 2026 01:07:39 GMT Learn the names and meanings of plus, minus, times, divide, equals, brackets, and other signs used in number sentences. Zero and one https://openfreebooks.org/math/zero-and-one/ https://openfreebooks.org/math/zero-and-one/ Thu, 21 May 2026 01:07:39 GMT 0 is nothing; 1 is one. Learn to tell them apart — the same skill as telling false from true — before counting larger amounts. Algebraic fractions & formulas https://openfreebooks.org/math/algebraic-fractions-formulas/ https://openfreebooks.org/math/algebraic-fractions-formulas/ Wed, 20 May 2026 20:17:25 GMT Simplify and combine algebraic fractions; rearrange formulas in science contexts. Directed numbers, rates & ratios https://openfreebooks.org/math/directed-numbers-rates/ https://openfreebooks.org/math/directed-numbers-rates/ Wed, 20 May 2026 20:17:25 GMT Operate with negative numbers and solve ratio, rate, and proportion problems in context. Polynomials: expansion & factorisation https://openfreebooks.org/math/polynomials-expansion-factorisation/ https://openfreebooks.org/math/polynomials-expansion-factorisation/ Wed, 20 May 2026 20:17:25 GMT Expand products, collect like terms, and factorise expressions using common factors and identities. Properties of operations https://openfreebooks.org/math/properties-of-operations/ https://openfreebooks.org/math/properties-of-operations/ Wed, 20 May 2026 20:17:25 GMT See why order, grouping, and distribution can change how you write a sum or product without changing the result — with interactive area and dot models. Quadratic equations https://openfreebooks.org/math/quadratic-equations/ https://openfreebooks.org/math/quadratic-equations/ Wed, 20 May 2026 20:17:25 GMT The discriminant, nature of roots, and the graph of y = ax² + bx + c. Search https://openfreebooks.org/search/ https://openfreebooks.org/search/ Tue, 19 May 2026 19:29:49 GMT Search Contribute https://openfreebooks.org/contributing/ https://openfreebooks.org/contributing/ Tue, 19 May 2026 12:34:25 GMT Contribute Mathematics https://openfreebooks.org/math/ https://openfreebooks.org/math/ Tue, 19 May 2026 10:55:50 GMT Browse mathematics chapters in the curriculum catalog. 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