Grade 10 Optional Math, Explained
CDC’s Optional Mathematics for Grade 10, unit by unit: every method worked step by step, graphs drawn for every question, every exercise answered, and how the SEE asks it.
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- Unit 1 Function Your marksheet turns marks into a grade in two steps. When can two rules become one, and when can a rule run backwards? Algebra
- Unit 2 Polynomial Fold a card into a box holding exactly 768 cm³: how big a corner do you cut? A cubic answers it, once you know where to look for roots. Algebra
- Unit 3 Linear Programming Flour and oven time are limited: how many cakes and loaves earn the most? Draw each limit as a line; the best plan sits at a corner. Algebra
- Unit 4 Quadratic Equation A ball thrown up rises, stops and falls back. How do its equation and its graph tell you how high it goes, and when? Algebra
- Unit 5 Surd How long must a clock’s pendulum be to tick once a second? How do you free an unknown from under a root sign, and trust the answer? Algebra
- Unit 6 Matrix and Determinant Multiply a word by a grid of four numbers and it becomes a secret code. How does a friend read it back, and why can one number stop it? Algebra
- Unit 7 Trigonometry How did surveyors 174 km away find Everest’s height? What do sine and cosine do when angles add, double or halve? Trigonometry
- Unit 8 Coordinate Geometry Where do three earthquake stations’ circles meet? Lines through two points, the angle between lines, slicing a cone, a circle’s equation. Geometry
- Unit 9 Transformation A phone turns, flips and zooms a photo by one rule for every point. What single move do two moves make, and how does a matrix do it? Geometry
- Unit 10 Vector How can two arrows multiply to give one number? The answer says how much of a pull moves a load, and proves old geometry in a few lines. Vectors
- Unit 11 Statistics Two batters both average 30: one scores about 30 every time, the other wins or is out first ball. How do you measure that spread? Statistics
- Unit 12 Continuity At one instant no time passes, so what is a speedometer showing? Where a value is heading, and when a graph has no break at all. Limits and continuity
Practice
- Exam practiceevery question in the book
- Unit quizpractise the units you choose, at your level
- SEE model papersfull practice papers made to the official grid
How to use this book
Each unit covers its part of the curriculum in the order of CDC’s textbook, whose page numbers are under each unit’s title; whichever book your school uses, you can read it alongside. Inside you’ll find:
- Worked examples: try them first; the answer stays hidden until you open it.
- Try it questions and each unit’s questions at the end, with hints and answers to open when you’re ready.
- Diagrams to play with: drag, slide and change things to see what happens.
- Did you know? boxes with the stories and surprises behind the maths.
A companion to your textbook by Science Playground, not published by or connected with CDC, and not a replacement for the textbook: study from the book your school uses, and where the two differ, follow your teacher. Every fact here has been checked against the textbook and other reliable sources, but these pages have not yet been reviewed by subject experts. If you find a mistake, please tell us.