Mathematics Extension 1
Mathematics Extension 1 (2020 HSC) is a calculus based course intended for students who have demonstrated a mastery of the skills of Stage 5 Mathematics and are interested in the study of further skills and ideas in mathematics.
Sample units and assessments
The following units and assessments can be adapted by teachers according to available resources and the individual needs of the school.
Year 11 Calculus
- ME C1 rates of change (docx 68.43 KB)
- MEC1 1 intro to displacement velocity acceleration (docx 1.91 MB)
- MEC1 1user guide fitting polynomial to scatterplot (docx 887.28 KB)
- ME C1 assignment can speed be measured perfectly (docx 737.6 KB)
- ME C1 2 resource sample data (xlsx 20.3 KB)
- MEC1 2 resource exponential growth paper folding (docx 36.59 KB)
- MEC1 2 resource exponential growth rice chessboard (docx 36.71 KB)
- MEC1 2 resource model exponential decay using dice (docx 47.22 KB)
- ME C1 2 modified exponential decay using dice (docx 53.95 KB)
- ME C1 2 model exponential growth using dice (docx 46.62 KB)
- MEC1 2modified exponential growth using dice (docx 49.82 KB)
- MEC1 2model modified exponential decay using water (docx 36.63 KB)
- ME C1 2 exponential decay of a radioactive nucleus (docx 36.67 KB)
- MEC1 2 applications exponential growth decay model (docx 45.01 KB)
- ME C1 2 applications exponential growth and decay (docx 53.57 KB)
- ME C1 2 resource establish the meaning of k (docx 40.51 KB)
- ME C1 2 resource another way to determine k (docx 68.9 KB)
- ME C1 2 resource establish the simple growth model (docx 72.19 KB)
- MEC1 2 matching activity heating to ambient temp (docx 42.06 KB)
- MEC1 2 matching modified exponential growth decay (docx 42.28 KB)
- ME C1 2 matching activity Newtons Law of cooling (docx 39.94 KB)
- MEC1 2 matching simple exponential growth decay (docx 39.86 KB)
Year 11 Combinatorics
Year 11 Trigonometric functions
Year 12 Calculus
- ME C2 further calculus skills (docx 47.22 KB)
- ME C2 NESA exemplar question solutions (docx 42.49 KB)
- ME C2 differentiating inverse trig functions (docx 115.12 KB)
- ME C2 integrating by substitution (docx 31.7 KB)
- ME C2 changing the integral activity (docx 28.85 KB)
- ME C3 applications of calculus (docx 123.4 KB)
- ME C3 modelling music trends (docx 341.85 KB)
- ME C3 sales history for cds (xlsx 17.65 KB)
- ME C3 solving simple differential equations (docx 530.9 KB)
- ME C3 the life and times of the humble cd (docx 249.08 KB)
- ME C3 area between curves (docx 628.1 KB)
- ME C3 case 1 solving simple differential equations (docx 37.27 KB)
- ME C3 case 2 solving simple differential equations (docx 28.49 KB)
- ME C3 case 3 solving simple differential equations (docx 38.77 KB)
- ME C3 estimating the area of a section of land (docx 3.73 MB)
- ME C3 identifying the regions between curves (docx 131.79 KB)
- ME C3 NESA exemplar question solutions (docx 985.57 KB)
- ME C3 solids of revolution (docx 145.75 KB)
- ME C3 assessment design ergonomic drinking vessel (docx 68.28 KB)
- ME C3 assessment how can maths help predict trends (docx 86.7 KB)
Year 12 Proof
- ME P1 proof by mathematical induction (docx 47.69 KB)
- ME P1 a formula for prime numbers (docx 41.25 KB)
- ME P1 prime number formula (xlsx 2.71 MB)
- ME P1 diagonals of shapes worksheet (docx 282.2 KB)
- ME P1 finding the mistake (docx 38.99 KB)
- ME P1 identifying steps of induction (docx 33.37 KB)
- ME P1 Intersecting lines worksheet (docx 345.0 KB)
- ME P1 tower of hanoi (docx 83.86 KB)
- ME P1 triomino division (docx 56.31 KB)
- ME P1 number of handshakes (docx 35.24 KB)
- ME P1 number of handshakes (xlsx 9.81 KB)
- ME P1 prompt for proof by induction (docx 33.31 KB)
- ME P1 proof by induction scaffold (docx 32.78 KB)
- ME P1 question bank for proof by induction (docx 36.32 KB)
- ME P1 the colour of all rabbits (docx 36.22 KB)
Year 12 Statistical analysis
- ME S1 the binomial distribution (docx 54.52 KB)
- ME S1 binomial probability problems (docx 41.5 KB)
- ME S1 conducting a binomial experiment (docx 38.77 KB)
- ME S1 discovering binomial probability (docx 59.32 KB)
- ME S1 identifying binomial distributions (docx 36.46 KB)
- ME S1 sample proportion and binomial probability (docx 38.85 KB)
- ME S1 sample proportions teacher notes (docx 71.51 KB)
- ME S1 sample proportions (xlsm 196.78 KB)
