Parow High School – So We Can Transcend!



SUGGESTED PLANNING of TEACHING and ASSESSMENT Grade 12 Mathematics 2020TERM 1 48 days1: 15-17 Jan (3 days) W: 2 %2: 20-24 Jan W: 5.6 %3: 27-31 Jan W: 9.0 %4: 03-07 Feb W: 18.1 %5: 10-14 Feb W: 27.2 %6: 17-21 Feb W:30.8%7: 24-28 Feb W :34.4%8: 02 - 06 Mar W: 38.1 %9: 09-13 Mar W: 41.7 % 10: 16-20 Mar W: 49%CAPS TopicNUMBER PATTERNS, SEQUENCES AND SERIES CAPS pg. 10, 12 & 40EUCLIDEAN GEOMETRY CAPS pg. 10, 14 & 48TRIGONOMETRY CAPS pg. 10, 15, 42 & 44ANALYTICAL GEOMETRY CAPS pg. 10, 15 & 47Topic, concepts, skills and valuesArithmetic SequenceGeometric SequenceArithmetic SeriesGeometric SeriesSigma NotationSum to InfinityProportionality Theorem and applicationSimilarity Theorem and applicationMixed ApplicationCompound Angle and Double Angle identities and its derivation (bookwork)Identities Involving Compound and Double AnglesTrig Equations (general/ specific solutions) involving Double, Compound AnglesCo-functionsTrig Graphs/Solutions of Triangles in 3D involving Double, Compound AnglesCo-functionsCircle with centre a; bEquation:x-a2+y-b2=r2Date CompletedRequisite pre-knowledgeNumber Patterns, BODMAS, Substitution, Simplification, EquationsExponents, BODMAS, Substitution, Simplification,Exponents, BODMAS, Substitution, Simplification, InequalitiesRevise Ratio, Proportion of and Area TrianglesCongruency & Similarity from grade 9 and Circle GeometryCo-functions, Trig function of (-), ASTC ruleGr 11 Identities, co-functions, trig function of (-), ASTC ruleSolving Trigonometric EquationsGrade 11 Trigonometric Graphs and area/ sine/cosine rulesPythagorasDistance formulaResources to enhance learning ; ; ; Heymaths App from Playstore ; Calculator App from Playstore; ; ; ; ; National Exemplars ; National Examination Papers ( ) ; ; ; ; assessment; Google form; Cumulative Assignment; Class Activity; Short class test; Class Discussions; Presentation of solutions; Vodacom revision exercises; Khan Academy Revision; Weekly Geometry questions are recommended; (Formal Assessment)Assignment: Sequences & Series, AlgebraInvestigationTerm 1 Control TestTERM 2 54 days1: 31 March-3 Apr(4) W: 56.2 % 2: 6-9 Apr (4) W: 62.6 %3: 14-17 Apr (4) W: 69 %4: 20-24 Apr W: 72.5 %5: 27-30 Apr (4) W: 74.7%6: 4-8 May W: 78.2 %7: 11-15 May W: 81.8 %18 (Gr 10-12); 20 (Gr 7-9) & 22 May (Gr 4-6) - 12 JuneCAPS sectionANALYTICAL GEOMETRY CAPS pg. 10, 15 & 47FUNCTIONS CAPS pg. 10, 12, 40 & 41FUNCTIONS POLYNOMIALS CAPS pg. 13 & 44 DIFFERENTIAL CALCULUS INCLUDING POLYNOMIALS CAPS pg. 10, 14 & 45Internal ExaminationsTopic, concepts, skills and valuesEquation of the tangent to a circle.Definition of Function (including restricted domain)Inverse of prescribed functions:y=ax+q, y=ax2 & y=bx Definition of logarithmInverse of exponential and logarithmic functionsFactorise third-degree polynomials. Apply factor and remainder theorem to polynomials of degree at most 3.Concept of a LimitAverage gradient, Gradient at a point. Find Derivative, a) from first principles b) using rules Equation of tangentCubic Graphs. Increasing and DecreasingStastionary points andConcavitySketch ‘n functions and its derivativesDetermine the equation of a function.Application of Calculus.Notes on or guidelines for mid-year examinations:Format of paper and weighting of topics will be as for the end of the year examination papers.The grade 11 content of Topics that must still be done in term three will be assessed. Date CompletedRequisite pre-knowledgeTangent theoremsConditions for ⊥ linesEquation of a line Concept of a functionExponential laws and functionsFactorization of a quadratic.Functional NotationTangents, Equation of LineKnowledge of how to sketch the grade 11 function.Formulae f of various objects. Problem SolvingResources to enhance learning ; ; ; Heymaths App from Playstore ; Calculator App from Playstore; ; ; ; ; National Exemplars ; National Examination Papers ( ) ; ; ; ; assessment; Google form; Cumulative Assignment; Class Activity; Short class test; Class Discussions; Presentation of solutions; Vodacom revision exercises; Khan Academy RevisionSBA (Formal Assessment)Control TestTERM 3 54 days1: 7-10 Jul (4) W: 84.3% 2: 13-17 Jul W: 87.3%3: 20-24 Jul W: 90.9%4: 27-31 Jul W: 94.6%5: 3-7 Aug W: 97.3 %6: 11-14 Aug(4) W:100%7: 17-21 Aug 8: 24-28 Aug (Gr12)9: 31Aug-4 Sep (Gr 4-11)10, 11: 7-18 Sep CAPS sectionFINANCE, GROWTH AND DECAY CAPS pg 10, 12, 41 & 42STATISTICSCAPS pg. 10, 13 & 48COUNTING AND PROBABILITY CAPS pg. 10, 14 & 49Internal ExaminationsTopic, concepts, skills and valuesCalculating the time period of a loan or investment.Future Value AnnuitiesPresent Values Annuities.Correlation, Standard Deviation, Variation & Regression lineRevise gr 10 – 12 StatisticsProbability & Counting PrincipleProbability Revision Format of the trial examination paper and weighting of topics will be as for the end of the year examination papers. Date CompletedRequisite pre-knowledgeGeometric SeriesSimple and Compound growth and decay, LogsGeometric SeriesSimple and Compound growth and decayScatter Plot Five number summary, Box and wisker plot, OgiveHow to calculate probability. Tree DiagramsGrade 10 – 12 ProbabilityResources to enhance learning ; ; ; Heymaths App from Playstore ; Calculator App from Playstore; ; ; ; ; National Exemplars ; National Examination Papers ( ) ; ; ; ; assessment;Google form; Cumulative Assignment; Class Activity; Short class test; Class Discussions; Presentation of solutions; Vodacom revision exercises; Khan Academy RevisionSBA (Formal Assessment)Control TestTERM 4 47 days1: 29 Sept - 2 Oct (4)2: 5 - 9 Oct3: 12-16 Oct4: 19 - 23 Oct5: 26 – 30 Oct 6: 2 – 6 Nov 09 Nov-2 Dec (Gr 4-11)CAPS sectionW: %W: %W; %W: %W: %Internal ExaminationsTopic, concepts, skills and valuesRevise Paper 1 WorkRevise Paper 2 WorkExamination Techniques Questions requested Notes on or guidelines for final examinations:Paper 13 hoursPaper 23 hoursAlgebraic expressions and equations (and inequalities)Number patternsFunctions and graphsFinance, growth and decayDifferential CalculusCounting and probability252535153515Euclidean GeometryAnalytical GeometryTrigonometry and measurement Statistics50404020TOTAL MARK150TOTAL MARK150Requisite pre-knowledgeResources to enhance learning Informal assessment; SBA (Formal Assessment) ................
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