Level 4 · Mathematics M4.4
Similarity, transformations and circles
Move, turn, flip and enlarge shapes, and learn the angle rules hidden in circles.
Reflect, rotate, translate and enlarge shapes on a grid and describe each move exactly. Prove triangles congruent, use similar shapes to find missing lengths, and see how areas and volumes grow with the scale factor. Then find arc lengths and sector areas, and use the angle rules of the circle.
8 chapters. Your place is kept on this device only.
You are ready for this book if
You can reflect a shape in the y axis on a grid.
- One step up M5.3 Trigonometric functions
- This book M4.4 Similarity, transformations and circles
- One step down M3.5 Angles, triangles and symmetry
Contents
- 1Reflections and rotations, readunderstood
- 2Translations and combined moves, readunderstood
- 3Enlargements, readunderstood
- 4Congruent triangles, readunderstood
- 5Similar shapes, readunderstood
- 6Similar areas and volumes, readunderstood
- 7Arcs and sectors, readunderstood
- 8Angle rules in circles, readunderstood
Keep it, print it, pass it on
- One file for any phone
1.0 MB. Opens with no internet. Share it with anyone. - PDF to print
1.3 MB, 106 A4 pages. Answers at the back. Copies well in black and white. - EPUB for reading apps
135 KB. For e-readers and book apps.
For parents and teachers
For learners who can reflect a shape in an axis on a grid, find angles in triangles and work out the area of a circle. In many schools this fits teenagers of about 14 to 16, and adults who want to refresh transformations and circle rules can start here too. Each chapter takes one or two sessions. A learner needs squared paper, a ruler and a pencil. A learner can work alone: every exercise has its answer and the reason for it.
Strand: Shape and space. Written and drawn by attnom. Free to read, print and share.