Catholic Regional College Sydenham

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1 Week: School Calendar Term 1 Title: Area of Study /Outcome CONTENT Assessment 2 - B 2 nd February Substitution and transposition in linear relations, such as temperature conversion. Construction of tables of values from a given formula by use of calculator table function Solution of simple linear equations: Teacher directed Essential GM 2A, 2B, 2C. 3 - A 7 th February Developing a formula from description, one or more unknowns. Solving literal equations with two unknowns: Solution of simple non-linear equations. Essential GM 2D, 2E, 2F, 2G SAC Topic test. equations 4 - B 14 th February 5 - A 21 nd February Graphs.- linear recursion relationships and simple calculator applications the algebraic and graphical calculator solution of simultaneous linear: Teacher directed activities equations in two variables Worded problems involving simultaneous equations Plotting straight line graphs - using tables and calculator window function. Gradient by formula and inspection, including horizontal and vertical lines. Intercept - slope recognition and usage. Essential GM. 2H, 2I, 2J, 2K, 2L. Essential GM. 3A, 3B, 3C. 6 - B 28 th February 7 - A 7 th March 8 - B 14 th March Graphs. - Graphs - Graphs - y = mx +c, finding m and c from given graphs. Finding equation given two points on the graph. The model as an example of application of linear graphs. Simple applications of linear modeling, fitting a line of best fit to data values, identifying the equation of best fit, predicting, informal discussion of closeness of fit. Two stage or segmented linear graphs. Essential GM. 3D, 3E, SAC TOPIC TEST Graphs Essential GM. 3F, 3G, Revision exercises and assessment task Recall for Application task

2 9 - A 21 st March 10 B 28 th March 11 A 4 th April Working with percentages Simple interest formula and bank interest. Simple interest formula and transposition Compound interest formula and applications Depreciation - flat rate Reducing balance depreciation, formula and graphic Essential GM 6A, 6B Essential GM. 6C, 6D Essential GM, 6E. 6F and revision exercises. technologies: Table function, Comparisons SAC Topic Test. Simple and compound interest Term 2 27 th April 2 nd May 9 th May inequalities and graphs. inequalities in two variables. Solution of pairs of simultaneous equations. The feasible region. Evaluation of points in the feasible region. Evaluation of the objective function. Essential GM. 9A, 9B and resources. Solving Programming Problems Essential GM. 9C, 9D and resources from Further Mathematics texts. Programming exercises Essential GM. 9E. technologies: List function 4 - A Revision and assessment task SAC Analysis Task.

3 16 th May programming Revision exercises, summaries and 23 rd May examination preparation. 6 - A 3-4 June Year 30 th May 11 Exams / 7 B 6 th June Year 12 Orals Semester 1 Ends June 8 Year 12 Orals Yr 11 Exams 8 A 13 th June 20 th June Year 11/12 Exams GAT 16 June Semester 2 commences Organising and displaying data Characteristics of distributions Essential GM. 1A, 1B, 1C, 1D 27 th June Univariate Data Measures of centre and spread including SD Boxplots, outliers, Comparative Boxplots. Essential GM. 1E, 1F, 1G. technologies: Calculator plot function and SD calculation. Term 3 18 th July 25 th July 1 st August Scatterplots and interpretation, Independent and dependent variables. Predictability concepts. Q- correlation, briefly only as a simple example Fitting lines by eye, obtaining equation by intercept slope or two point method. Interpretation of slope and intercept Two-mean method for equation of line Essential GM. 4A, 4B, 4C. Essential GM 4D, 4E Usefulness of predictions, interpolation and extrapolation. Regression analysis using calculator. Essential FM. Notes (p99 to 104) and 4E, 4F.

4 4 - A 8 th August 15 th August 6 - A 22 nd August 7 - B 29 th August 8 - A 5 th September 12 th September 19 th September Term 4 Revision, extension and assessment of Data Analysis Pythagoras theorem in two dimensions and simple examples in three dimensions Perimeter and area of regular and circular shapes. Volume of prisms, sphere, cylinder, cone, pyramid. Surface area plane faces, curved surfaces. Capacity and area worksheet. Similar figures, similar triangles. Scale factor, similar solids, and comparative volumes. SAC Application Task. Data analysis. Essential GM. 5A, 5B, 5C Essential GM, 5E, 5F, 5G, 5H, 5I Essential GM 5G, 5H, 5I SAC Topic Test: Pythagoras and Shapes Right angled triangles involving sine, cosine and tangent. Finding sides. Essential GM. 7A, 7B Finding angles in right triangles. Practical applications of right triangles. Angles of elevation and depression. Bearings compass and true The sine rule for non-right triangles Essential GM. 7C, 7D, 7E Essential GM, 7F, 7G. 10th October Modified Timetable October/ Yr 12 Compulsory Trial Exams Oct The cosine rule for non-right triangles, sides and angles calculations. The area rule for non right triangles and Heron s rule.

5 17 th October 24 th October 24 Oct Yr 12 last day of classes SAC Preparation Matrices, definitions, order, naming. Addition, subtraction, scalar multiplication. Multiplication of matrices. SAC Analysis task. trigonometry Essential GM. 11A, 11B, 11C, 11D, 11E, 11F. 4 - A 31 st October 7 th November 6 - A 14 th November 7 - B 21 st November 8 - A 28 th November 5 th December 12 th December Melbourne Cup Holidays/ 3 Nov Yr 12 Exams commence 11 November Year 11 classes end Nov Year 11 Study Days/ 16 Nov Yr 11 Exams begin Examinations Transition - Year 12 (Full Week) Orientation - Year 11, 2012 (Tu Fr) Identity and inverse matrices, determinants. Graphics calculator usage Preparation for Exams Essential GM. 11G, 11H. SAC Topic Test: Matrices