# Grade 11 Technical Mathematics Notes > CAPS-aligned Grade 11 Technical Mathematics revision notes, broken down topic by topic with worked examples, diagrams, and key definitions. - Page: https://www.hlayiso.com/grade-11/technical-mathematics/notes Breadcrumbs: [Home](https://www.hlayiso.com/) › [Grade 11](https://www.hlayiso.com/grade-11) › [Technical Mathematics](https://www.hlayiso.com/grade-11/technical-mathematics) › [Notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes) ## Topics Each section has a free preview; the full notes are in the free Hlayiso account. ### Analytical geometry - [Analytical geometry notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/analytical-geometry) - [Equation of a line through two points](https://www.hlayiso.com/grade-11/technical-mathematics/notes/analytical-geometry/equation-of-a-line-through-two-points) - [Parallel and perpendicular lines, and angle of inclination](https://www.hlayiso.com/grade-11/technical-mathematics/notes/analytical-geometry/parallel-and-perpendicular-lines-and-angle-of-inclination) ### Exponents and surds - [Exponents and surds notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/exponents-and-surds) - [Laws of exponents and rational exponents](https://www.hlayiso.com/grade-11/technical-mathematics/notes/exponents-and-surds/laws-of-exponents-and-rational-exponents) - [Surds and solving exponential equations](https://www.hlayiso.com/grade-11/technical-mathematics/notes/exponents-and-surds/surds-and-solving-exponential-equations) ### Logarithms - [Logarithms notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/logarithms) - [Definition of a logarithm and converting between forms](https://www.hlayiso.com/grade-11/technical-mathematics/notes/logarithms/definition-of-a-logarithm-and-converting-between-forms) - [Laws of logarithms and solving logarithmic equations](https://www.hlayiso.com/grade-11/technical-mathematics/notes/logarithms/laws-of-logarithms-and-solving-logarithmic-equations) ### Equations and inequalities - [Equations and inequalities notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities) - [Quadratic equations (factorisation and quadratic formula)](https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities/quadratic-equations-factorisation-and-quadratic-formula) - [Quadratic inequalities and graphical interpretation](https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities/quadratic-inequalities-and-graphical-interpretation) - [Simultaneous equations and changing the subject](https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities/simultaneous-equations-and-changing-the-subject) - [Word problems](https://www.hlayiso.com/grade-11/technical-mathematics/notes/equations-and-inequalities/word-problems) ### Nature of roots - [Nature of roots notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/nature-of-roots) - [The discriminant and nature of roots](https://www.hlayiso.com/grade-11/technical-mathematics/notes/nature-of-roots/the-discriminant-and-nature-of-roots) ### Euclidean geometry - [Euclidean geometry notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/euclidean-geometry) - [Circle theorems (chords, angles and arcs)](https://www.hlayiso.com/grade-11/technical-mathematics/notes/euclidean-geometry/circle-theorems-chords-angles-and-arcs) - [Cyclic quadrilaterals and tangent theorems](https://www.hlayiso.com/grade-11/technical-mathematics/notes/euclidean-geometry/cyclic-quadrilaterals-and-tangent-theorems) ### Functions and graphs - [Functions and graphs notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/functions-and-graphs) - [Parabola, hyperbola and exponential functions](https://www.hlayiso.com/grade-11/technical-mathematics/notes/functions-and-graphs/parabola-hyperbola-and-exponential-functions) - [The circle equation and semicircles](https://www.hlayiso.com/grade-11/technical-mathematics/notes/functions-and-graphs/the-circle-equation-and-semicircles) - [Determining equations and interpreting graphs](https://www.hlayiso.com/grade-11/technical-mathematics/notes/functions-and-graphs/determining-equations-and-interpreting-graphs) ### Trigonometry - [Trigonometry notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/trigonometry) - [Trig ratios in all four quadrants](https://www.hlayiso.com/grade-11/technical-mathematics/notes/trigonometry/trig-ratios-in-all-four-quadrants) - [Sine rule, cosine rule and area rule](https://www.hlayiso.com/grade-11/technical-mathematics/notes/trigonometry/sine-rule-cosine-rule-and-area-rule) - [Two-dimensional trigonometry problems](https://www.hlayiso.com/grade-11/technical-mathematics/notes/trigonometry/two-dimensional-trigonometry-problems) - [Trig graphs (sin, cos, tan) and the effect of p](https://www.hlayiso.com/grade-11/technical-mathematics/notes/trigonometry/trig-graphs-sin-cos-tan-and-the-effect-of-p) - [Rotating vectors and developing sine and cosine curves](https://www.hlayiso.com/grade-11/technical-mathematics/notes/trigonometry/rotating-vectors-and-developing-sine-and-cosine-curves) - [Trigonometric equations](https://www.hlayiso.com/grade-11/technical-mathematics/notes/trigonometry/trigonometric-equations) - [Reduction formulae and identities](https://www.hlayiso.com/grade-11/technical-mathematics/notes/trigonometry/reduction-formulae-and-identities) ### Circles, angles and angular movement - [Circles, angles and angular movement notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/circles-angles-and-angular-movement) - [Circle equation, degrees and radians](https://www.hlayiso.com/grade-11/technical-mathematics/notes/circles-angles-and-angular-movement/circle-equation-degrees-and-radians) - [Arc length, sectors and segments](https://www.hlayiso.com/grade-11/technical-mathematics/notes/circles-angles-and-angular-movement/arc-length-sectors-and-segments) - [Angular and circumferential velocity](https://www.hlayiso.com/grade-11/technical-mathematics/notes/circles-angles-and-angular-movement/angular-and-circumferential-velocity) ### Finance, growth and decay - [Finance, growth and decay notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/finance-growth-and-decay) - [Simple and compound growth and decay](https://www.hlayiso.com/grade-11/technical-mathematics/notes/finance-growth-and-decay/simple-and-compound-growth-and-decay) - [Effective and nominal interest rates](https://www.hlayiso.com/grade-11/technical-mathematics/notes/finance-growth-and-decay/effective-and-nominal-interest-rates) - [Timelines and calculating n using logs](https://www.hlayiso.com/grade-11/technical-mathematics/notes/finance-growth-and-decay/timelines-and-calculating-n-using-logs) ### Mensuration - [Mensuration notes](https://www.hlayiso.com/grade-11/technical-mathematics/notes/mensuration) - [Mid-ordinate rule for irregular figures](https://www.hlayiso.com/grade-11/technical-mathematics/notes/mensuration/mid-ordinate-rule-for-irregular-figures) - [Surface area and volume of 3D objects](https://www.hlayiso.com/grade-11/technical-mathematics/notes/mensuration/surface-area-and-volume-of-3d-objects) - [Effect of factor k on volume and surface area](https://www.hlayiso.com/grade-11/technical-mathematics/notes/mensuration/effect-of-factor-k-on-volume-and-surface-area) ## Frequently asked questions ### Are the Grade 11 Technical Mathematics notes free? Each Grade 11 Technical Mathematics note section has a free preview on Hlayiso. Create a free Hlayiso account to read the full notes on the web or in the app; the free plan has daily limits. ### Are the notes aligned with CAPS and the ATP? Yes. All Grade 11 Technical Mathematics notes are written against the official CAPS curriculum and ATP so you only study what’s examinable. --- Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.