Levels 1 to 54 of 7 books ready

Shape and space

Every book on this topic, lowest level first. Each one builds on the book above it. If a book feels hard, go back up the ladder to the one before.

  1. M1.5Level 1, classes 1 and 2Planned

    Shapes around us

    Find flat shapes and solid shapes around you, and name them.

    1. Flat shapes
    2. Solid shapes
    3. Flat faces on solid shapes
    4. Making and folding shapes
    5. Where is it?

    5 chapters planned

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    M2.5Level 2, classes 3 to 5

    Shapes and angles

    Name and draw shapes, and measure angles in degrees.

    1. Straight lines and parallel lines
    2. Polygons
    3. Right angles and turns
    4. Measuring angles in degrees
    5. Triangles and four sided shapes
    6. Lines of symmetry
    7. Solid shapes and nets
    8. Grids and directions

    8 chapters

  3. NextYou are here
    M3.5Level 3, classes 6 to 8

    Angles, triangles and symmetry

    Work out missing angles, draw accurate triangles, and find symmetry in shapes.

    1. Angles on a line and round a point
    2. Angles and parallel lines
    3. Triangles
    4. Angles in polygons
    5. Drawing with ruler and compasses
    6. Line symmetry and reflection
    7. Turning symmetry
    8. Solids, nets and views

    8 chapters

  4. NextYou are here
    M4.3Level 4, classes 9 and 10

    Pythagoras and trigonometry

    Find missing sides and angles in triangles, starting with right angled ones.

    1. Pythagoras' theorem
    2. Using Pythagoras
    3. Opposite, adjacent and hypotenuse
    4. Sine, cosine and tangent
    5. Finding angles
    6. Exact values
    7. The sine rule and the cosine rule
    8. Area of any triangle, and bearings

    8 chapters

  5. NextYou are here
    M4.4Level 4, classes 9 and 10

    Similarity, transformations and circles

    Move, turn, flip and enlarge shapes, and learn the angle rules hidden in circles.

    1. Reflections and rotations
    2. Translations and combined moves
    3. Enlargements
    4. Congruent triangles
    5. Similar shapes
    6. Similar areas and volumes
    7. Arcs and sectors
    8. Angle rules in circles

    8 chapters

  6. M5.3Level 5, classes 11 and 12Planned

    Trigonometric functions

    Measure angles in radians, solve trig equations, and prove identities.

    1. Radians
    2. The unit circle and any angle
    3. Trig graphs and their changes
    4. Solving trig equations
    5. Identities
    6. Reciprocal and inverse trig functions
    7. Compound and double angles
    8. Combining sin and cos

    8 chapters planned

  7. M5.6Level 5, classes 11 and 12Planned

    Vectors and matrices

    Use vectors for position and direction, and matrices to move shapes and solve equations.

    1. Vectors: size and direction
    2. Vectors in geometry
    3. Vectors in 3D
    4. The scalar product
    5. Lines in vector form
    6. Matrices
    7. Matrices that move shapes
    8. Inverse matrices and equations

    8 chapters planned