Cover of Primary & Middle School Mathematics

Read online · Grades 1–9

Primary & Middle School Mathematics

A gentle, continuous foundation from first arithmetic through algebra, geometry, probability, and proof.

Grade 1 (Age 6–7)

  1. 1 Counting to 20 9 solved exercises
  2. 2 Addition: First Steps 9 solved exercises
  3. 3 Subtraction: First Steps 9 solved exercises
  4. 4 Numbers to 100 9 solved exercises
  5. 5 Shapes and Space 9 solved exercises
  6. 6 Measuring and Time 9 solved exercises

Grade 2 (Age 7–8)

  1. 7 Numbers to 1000 10 solved exercises
  2. 8 Addition with Carrying 10 solved exercises
  3. 9 Subtraction 10 solved exercises
  4. 10 Multiplication: First Steps 10 solved exercises
  5. 11 Shapes and Solids 10 solved exercises
  6. 12 Money and Measures 10 solved exercises
  7. 13 Solving Problems 10 solved exercises

Grade 3 (Age 8–9)

  1. 14 Numbers up to 10 000 11 solved exercises
  2. 15 Addition and Subtraction 11 solved exercises
  3. 16 Multiplication 12 solved exercises
  4. 17 Sharing and Division 11 solved exercises
  5. 18 Shapes and Right Angles 11 solved exercises
  6. 19 Measuring 11 solved exercises
  7. 20 Solving Problems 11 solved exercises

Grade 4 (Age 9–10)

  1. 21 Large Numbers 11 solved exercises
  2. 22 Multiplying Larger Numbers 11 solved exercises
  3. 23 Division 11 solved exercises
  4. 24 First Fractions 11 solved exercises
  5. 25 Tenths and Hundredths 11 solved exercises
  6. 26 Lines and Polygons 11 solved exercises
  7. 27 Symmetry 11 solved exercises
  8. 28 Measures and Perimeter 11 solved exercises

Grade 5 (Age 10–11)

  1. 29 Decimal Numbers 11 solved exercises
  2. 30 Computing with Decimals 11 solved exercises
  3. 31 Fractions as Numbers 11 solved exercises
  4. 32 Division and Multiples 11 solved exercises
  5. 33 Geometric Constructions 11 solved exercises
  6. 34 Perimeter and Area 11 solved exercises
  7. 35 Cubes and Boxes 10 solved exercises
  8. 36 Problems and Charts 11 solved exercises

Grade 6 (Age 11–12)

  1. 37 Whole Numbers 12 solved exercises
  2. 38 Decimal Numbers 12 solved exercises
  3. 39 Fractions: First Steps 12 solved exercises
  4. 40 Lines, Circles and Angles 12 solved exercises
  5. 41 Triangles and Quadrilaterals 12 solved exercises
  6. 42 Axial Symmetry 12 solved exercises
  7. 43 Perimeter, Area, Volume 12 solved exercises
  8. 44 Proportionality and Data 12 solved exercises

Grade 7 (Age 12–13)

  1. 45 Priorities of Operations 11 solved exercises
  2. 46 Negative Numbers 12 solved exercises
  3. 47 Fractions: Comparing and Adding 12 solved exercises
  4. 48 Literal Expressions 11 solved exercises
  5. 49 Proportionality 11 solved exercises
  6. 50 Organizing Data 11 solved exercises
  7. 51 Triangles and Angles 11 solved exercises
  8. 52 Central Symmetry and Parallelograms 11 solved exercises
  9. 53 Areas and Volumes 12 solved exercises

Grade 8 (Age 13–14)

  1. 54 Multiplying Negative Numbers 11 solved exercises
  2. 55 Fractions: All Four Operations 12 solved exercises
  3. 56 Powers 11 solved exercises
  4. 57 Literal Calculation and Equations 12 solved exercises
  5. 58 The Pythagorean Theorem 11 solved exercises
  6. 59 Midpoints and Parallels 9 solved exercises
  7. 60 The Right Triangle and the Cosine 11 solved exercises
  8. 61 Proportionality, Speed and Averages 11 solved exercises
  9. 62 Pyramids and Cones 11 solved exercises

Grade 9 (Age 14–15)

  1. 63 Fractions and Powers 10 solved exercises
  2. 64 Arithmetic: Divisors and Prime Numbers 10 solved exercises
  3. 65 Square Roots 10 solved exercises
  4. 66 Algebra and Equations 10 solved exercises
  5. 67 Linear and Affine Functions 10 solved exercises
  6. 68 Thales’ Theorem 9 solved exercises
  7. 69 Trigonometry in the Right Triangle 9 solved exercises
  8. 70 Solids and Volumes 9 solved exercises
  9. 71 Statistics and Probability 9 solved exercises

71 chapters — 71 online so far, and more publishing regularly. The complete book is already available as a free PDF you can read online.