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    <title>Open Free Books</title>
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    <description>Recent updates to Open Free Books pages and live chapters.</description>
    <lastBuildDate>Fri, 22 May 2026 06:55:33 GMT</lastBuildDate>
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      <title>Pythagoras&apos; theorem</title>
      <link>https://openfreebooks.org/math/pythagoras-theorem/</link>
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      <pubDate>Fri, 22 May 2026 06:55:33 GMT</pubDate>
      <description>Use Pythagoras&apos; theorem and its converse in 2D problems and coordinate settings.</description>
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    <item>
      <title>Algebraic fractions &amp; formulas</title>
      <link>https://openfreebooks.org/math/algebraic-fractions-formulas/</link>
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      <pubDate>Fri, 22 May 2026 06:25:20 GMT</pubDate>
      <description>Simplify and combine algebraic fractions; rearrange formulas in science contexts.</description>
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    <item>
      <title>Counting and numbers</title>
      <link>https://openfreebooks.org/math/counting-and-numbers/</link>
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      <pubDate>Fri, 22 May 2026 06:25:20 GMT</pubDate>
      <description>Count objects, spot patterns, add, multiply, and divide; then meet place value and big numbers from hundreds to billions.</description>
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      <title>Zero and one</title>
      <link>https://openfreebooks.org/math/zero-and-one/</link>
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      <pubDate>Fri, 22 May 2026 05:57:59 GMT</pubDate>
      <description>0 is nothing; 1 is one. Learn to tell them apart — the same skill as telling false from true — before counting larger amounts.</description>
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      <title>Coordinate geometry foundations</title>
      <link>https://openfreebooks.org/math/coordinate-geometry-foundations/</link>
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      <pubDate>Fri, 22 May 2026 05:18:34 GMT</pubDate>
      <description>Plot points, find distances and midpoints, and work with slopes of lines in the Cartesian plane.</description>
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      <title>Basic math notation</title>
      <link>https://openfreebooks.org/math/basic-math-notation/</link>
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      <pubDate>Thu, 21 May 2026 23:42:19 GMT</pubDate>
      <description>Learn the names and meanings of plus, minus, times, divide, equals, brackets, and other signs used in number sentences.</description>
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    <item>
      <title>Integer foundations</title>
      <link>https://openfreebooks.org/math/integer-foundations/</link>
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      <pubDate>Thu, 21 May 2026 23:42:19 GMT</pubDate>
      <description>Model directed magnitude on number lines; use the zero principle and tiles to add and subtract integers, and see subtraction as adding an opposite.</description>
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    <item>
      <title>Percentage applications</title>
      <link>https://openfreebooks.org/math/percentage-applications/</link>
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      <pubDate>Thu, 21 May 2026 23:42:19 GMT</pubDate>
      <description>Relate fractions and decimals to base-100 ratios; calculate percent increase and decrease in financial and real-world contexts.</description>
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    <item>
      <title>Contribute</title>
      <link>https://openfreebooks.org/contributing/</link>
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      <pubDate>Thu, 21 May 2026 18:40:42 GMT</pubDate>
      <description>Contribute</description>
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      <title>Fractions and decimals</title>
      <link>https://openfreebooks.org/math/rational-number-operations/</link>
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      <pubDate>Thu, 21 May 2026 17:54:08 GMT</pubDate>
      <description>Convert between fractions, terminating decimals, and repeating decimals; add, subtract, multiply, and divide rational numbers and mixed numbers.</description>
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    <item>
      <title>Ratios &amp; rates foundations</title>
      <link>https://openfreebooks.org/math/ratios-and-rates-foundation/</link>
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      <pubDate>Thu, 21 May 2026 17:54:08 GMT</pubDate>
      <description>Formulate part-to-part and part-to-whole ratios, find equivalent ratios, compute unit rates, and graph proportional relationships.</description>
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    <item>
      <title>Advanced trigonometry</title>
      <link>https://openfreebooks.org/math/advanced-trigonometry/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Use sine and cosine rules, radians, and trigonometric graphs in 2D and 3D applications.</description>
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    <item>
      <title>Basic probability</title>
      <link>https://openfreebooks.org/math/basic-probability/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Calculate theoretical and experimental probabilities for simple events and complements.</description>
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    <item>
      <title>Properties of circles</title>
      <link>https://openfreebooks.org/math/circle-properties/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Apply chord, tangent, and angle theorems in circles to prove results and solve geometry problems.</description>
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      <title>Congruence &amp; similarity</title>
      <link>https://openfreebooks.org/math/congruence-similarity/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Apply congruence and similarity criteria to justify properties of triangles and scale figures.</description>
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      <title>Coordinate geometry of circles</title>
      <link>https://openfreebooks.org/math/coordinate-circles/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Find equations of circles, tangents, and intersections using coordinate methods and distance.</description>
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      <title>Deductive geometry</title>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Prove angle and side relationships for intersecting lines, triangles, and polygons.</description>
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      <title>Introduction to trigonometry</title>
      <link>https://openfreebooks.org/math/introduction-trigonometry/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Define sine, cosine, and tangent ratios and solve right-angled triangle problems.</description>
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    <item>
      <title>Loci</title>
      <link>https://openfreebooks.org/math/loci/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Describe and construct loci in the plane, linking geometric constraints to algebraic equations.</description>
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    <item>
      <title>Measures of dispersion</title>
      <link>https://openfreebooks.org/math/measures-dispersion/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Interpret range, interquartile range, variance, and standard deviation for comparing data sets.</description>
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    <item>
      <title>Mensuration in 3D</title>
      <link>https://openfreebooks.org/math/mensuration-3d/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Find volumes and surface areas of prisms, cylinders, pyramids, cones, and spheres.</description>
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    <item>
      <title>Normal distribution &amp; z-scores</title>
      <link>https://openfreebooks.org/math/normal-distribution-z-scores/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Model continuous data with the normal curve, standardise with z-scores, and read probabilities from tables.</description>
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    <item>
      <title>Permutations, combinations &amp; probability</title>
      <link>https://openfreebooks.org/math/permutations-combinations-probability/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Count outcomes with permutations and combinations, then compute probabilities in finite sample spaces.</description>
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    <item>
      <title>Charts &amp; averages</title>
      <link>https://openfreebooks.org/math/statistical-charts-averages/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Organise data with tables and charts and calculate mean, median, and mode.</description>
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    <item>
      <title>Statistical literacy</title>
      <link>https://openfreebooks.org/math/statistical-literacy/</link>
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      <pubDate>Thu, 21 May 2026 16:54:30 GMT</pubDate>
      <description>Evaluate claims in media and research: sampling bias, correlation versus causation, and misleading charts.</description>
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    <item>
      <title>Complex numbers</title>
      <link>https://openfreebooks.org/math/complex-numbers/</link>
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      <pubDate>Thu, 21 May 2026 07:33:01 GMT</pubDate>
      <description>Represent complex numbers in Cartesian form and perform operations including conjugates and division.</description>
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    <item>
      <title>Exponential &amp; logarithmic functions</title>
      <link>https://openfreebooks.org/math/exponential-logarithmic/</link>
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      <pubDate>Thu, 21 May 2026 07:33:01 GMT</pubDate>
      <description>Use exponential and logarithmic models, apply log laws, and solve growth and decay equations.</description>
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    <item>
      <title>Factor &amp; remainder theorems</title>
      <link>https://openfreebooks.org/math/factor-remainder-theorems/</link>
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      <pubDate>Thu, 21 May 2026 07:33:01 GMT</pubDate>
      <description>Use the factor and remainder theorems to factorise higher-degree polynomials and solve related equations.</description>
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    <item>
      <title>Functions &amp; graphs</title>
      <link>https://openfreebooks.org/math/functions-graphs/</link>
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      <pubDate>Thu, 21 May 2026 07:33:01 GMT</pubDate>
      <description>Model input-output rules, work with domain and range, and sketch key function graphs and transformations.</description>
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      <title>Linear equations in two unknowns</title>
      <link>https://openfreebooks.org/math/linear-equations-two-unknowns/</link>
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      <pubDate>Thu, 21 May 2026 07:33:01 GMT</pubDate>
      <description>Solve pairs of linear equations by substitution, elimination, and graphs; classify unique, parallel, and coincident cases.</description>
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      <title>Linear programming</title>
      <link>https://openfreebooks.org/math/linear-programming/</link>
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      <pubDate>Thu, 21 May 2026 07:33:01 GMT</pubDate>
      <description>Graph linear inequalities, identify feasible regions, and optimise objective functions in two variables.</description>
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    <item>
      <title>Sequences &amp; series</title>
      <link>https://openfreebooks.org/math/sequences-series/</link>
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      <pubDate>Thu, 21 May 2026 07:33:01 GMT</pubDate>
      <description>Work with arithmetic and geometric sequences, sigma notation, and finite summation formulas.</description>
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      <title>Variations</title>
      <link>https://openfreebooks.org/math/variations/</link>
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      <pubDate>Thu, 21 May 2026 07:33:01 GMT</pubDate>
      <description>Model direct, inverse, joint, and partial variation and solve combined variation problems.</description>
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      <title>Laws of indices</title>
      <link>https://openfreebooks.org/math/laws-of-indices/</link>
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      <pubDate>Thu, 21 May 2026 06:54:57 GMT</pubDate>
      <description>Apply index laws to simplify expressions with integer and rational exponents.</description>
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      <title>Linear inequalities in one unknown</title>
      <link>https://openfreebooks.org/math/linear-inequalities-one-unknown/</link>
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      <pubDate>Thu, 21 May 2026 06:54:57 GMT</pubDate>
      <description>Solve, represent, and apply linear inequalities in one unknown using number lines and interval notation.</description>
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      <title>Written calculation</title>
      <link>https://openfreebooks.org/math/written-calculation/</link>
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      <pubDate>Thu, 21 May 2026 05:05:38 GMT</pubDate>
      <description>Add, subtract, multiply, and divide whole numbers using vertical written form: align columns, regroup, and read the result.</description>
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    <item>
      <title>FAQ</title>
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      <pubDate>Thu, 21 May 2026 02:10:55 GMT</pubDate>
      <description>FAQ</description>
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      <title>Physics</title>
      <link>https://openfreebooks.org/physics/</link>
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      <pubDate>Thu, 21 May 2026 02:10:55 GMT</pubDate>
      <description>Browse physics chapters in the curriculum catalog.</description>
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      <title>Force and Newton&apos;s laws</title>
      <link>https://openfreebooks.org/physics/force-newtons-laws/</link>
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      <pubDate>Thu, 21 May 2026 02:10:55 GMT</pubDate>
      <description>Use free-body diagrams, F = ma, and motion graphs to predict how objects move.</description>
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      <title>Polynomials: expansion &amp; factorisation</title>
      <link>https://openfreebooks.org/math/polynomials-expansion-factorisation/</link>
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      <pubDate>Wed, 20 May 2026 20:17:25 GMT</pubDate>
      <description>Expand products, collect like terms, and factorise expressions using common factors and identities.</description>
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      <title>Properties of operations</title>
      <link>https://openfreebooks.org/math/properties-of-operations/</link>
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      <pubDate>Wed, 20 May 2026 20:17:25 GMT</pubDate>
      <description>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.</description>
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      <title>Quadratic equations</title>
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      <pubDate>Wed, 20 May 2026 20:17:25 GMT</pubDate>
      <description>The discriminant, nature of roots, and the graph of y = ax² + bx + c.</description>
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      <title>Search</title>
      <link>https://openfreebooks.org/search/</link>
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      <pubDate>Tue, 19 May 2026 19:29:49 GMT</pubDate>
      <description>Search</description>
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      <title>Mathematics</title>
      <link>https://openfreebooks.org/math/</link>
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      <pubDate>Tue, 19 May 2026 10:55:50 GMT</pubDate>
      <description>Browse mathematics chapters in the curriculum catalog.</description>
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      <title>Catalog</title>
      <link>https://openfreebooks.org/catalog/</link>
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      <pubDate>Tue, 19 May 2026 10:40:53 GMT</pubDate>
      <description>Catalog</description>
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      <title>Manifesto</title>
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      <pubDate>Tue, 19 May 2026 06:35:42 GMT</pubDate>
      <description>Manifesto</description>
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      <title>Credits</title>
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      <pubDate>Tue, 19 May 2026 05:33:20 GMT</pubDate>
      <description>Credits</description>
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      <title>Open Free Books</title>
      <link>https://openfreebooks.org/</link>
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      <pubDate>Tue, 19 May 2026 04:06:12 GMT</pubDate>
      <description>Free, open-source textbooks for every learner — elementary through university. Read the full book online at no cost, or contribute on GitHub.</description>
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