Department of Mathematics

Transcription

1 WEEK Week 1 8 th Sept Departmet of Mathematics Scheme of Work Form 2 Term Lesso Specific Objectives/Teachig Poits Number 1 Number Sets Natural umbers (N), Whole umbers (W), Itegers ( Z, Z, Z )& Real Numbers ( R ) Associative Law - Additio & Multiplicatio a ( b c) ( a b) c a ( b c) ( a b) c Comutative Law - Additio & Multiplicatio a b b a a b b a Distributive Law a( x y) ax ay (20 6) (30 4) Idetity ad Iverse elemets for both Additio ad Multiplicatio 2 Directed Numbers Additio, Subtractio, Multiplicatio ad Divisio Evaluatio of simple expressios ivolvig a where a R ad Z (See Laws of Idices) 3 Laws of Idices m a a ( m) a a m a ( m) a a 0 1, a 0 Practice questios 4 Laws of Idices a 1 1 a a, a 0 Also, a a 1 ad m m m a a a abc a b c Practice questios 5 Priority of Operatios BODMAS/PEMDAS 1 a a Teachig Methods /Resources Math is Fu

2 Week 2 15 th Sept Week 3 22 d Sept 6 Number Coversio from fractios to decimal form. Decimal places Sigificat figures 7 Number Stadard form Computatio (,,, )ivolvig umbers expressed i stadard form Expressio of aswers to specified degrees of accuracy (dec. pl. & sig. fig). 8 Priority of Operatios Review questios o lessos Coursework Examiatio o lessos Geometry Agles o a straight lie Agles at a poit Right agles Agles of a triagle Scalee, Isosceles, Equilateral, Exterior agles of a triagle Practice Questios 11 Geometry Parallel lies & Trasversals Correspodig agles Alterate agles Worksheet 12 Geometry Vertically Opposite agles Co-iterior agles Worksheet 13 Geometry Itroductio to the use of geometrical istrumets. Costructio lies ad arcs: Solid, broke, light & heavy Review questios: Costructio triagles with three kow sides. Math is Fu assessmet - Paper & pe/pecil test Math is Fu Teacher Illustratio Studet Ivestigatios 14 Geometry

3 Costructio of each of the followig agles o a light ad solid baselie: 30 o, 45 o, 60 o, 90 o, 120 o, 150 o Bisectio of each of the agles listed above. Week 4 29 th Sept Republic Day Holiday 25 th Sept 15 Geometry Bisectio of a lie segmet. Erectio of a perpedicular at a poit o a lie. Drop a perpedicular from a poit to a lie. 16 Geometry Costructio of triagles, give Oe side ad two agles Two sides ad a icluded agle Three sides 17 Geometry Properties of a rhombus. Costructio of a rhombus. Properties of a kite. Costructio of a kite. 18 Geometry Costructio of a circumcircle of a triagle. Ex. 4e #8 Costructio of a icircle of a triagle. Ex. 4e #11 19 Geometry Group Coursework Assigmet. I groups of five, studets are required to use plai paper to create models of oe of the solid shapes listed below: Cube, Tetrahedro, Octahedro, Square-based pyramid, Prism with triagular cross-sectio, Eight-poited star. (Ex. 4f) Groups make oral presetatio of the properties of their respective shapes to the class, usig charts. 20 Geometry Review questios o lessos Math is Fu Teacher Illustratio Studet Ivestigatios assessmet Oral presetatio ad craft skills

4 Week 5 6 th Oct School Bazaar Saturday 7 th Oct. Week 6 13 th Oct 21 Geometry Scaled drawigs (calculatios) Scaled drawigs of real-life plae shapes Map Ratio 22 Geometry Agles of elevatio Agles of depressio Embodimet of real-life problems i mathematical form, usig simple sketches (triagles). e.g. Ladder leaig agaist a vertical wall or Top of vertical flagpole from a poit o level groud, etc. 23 Geometry Use scaled drawigs to costruct models of real-life problems ivolvig agles of elevatio ad depressio. Costructio of scaled drawigs to determie ukow distaces or agles from real-life scearios. (Simple triagles). 24 Geometry Practice questios ivolvig agles of elevatio ad depressio. 25 Geometry Three figure bearigs. North-south lies ad East west lies Positio of poit A from poit B specifyig distace a directio (usig three figure bearigs) 26 Geometry Determie related agles i diagrams ivolvig three figure bearigs 27 Geometry Use scaled drawigs to costruct models of real-life problems ivolvig three figure bearigs. Costructio of scaled drawigs to determie ukow distaces or agles from real-life scearios ivolvig three figure bearigs. (Simple right agled triagles). Math is Fu Teacher Illustratio Studet Ivestigatios assessmet Ispectio ad markig of exercise books Math is Fu Teacher Illustratio Studet Ivestigatios

5 Week 7 20 th Oct Divali Holiday 19 th Oct Week 8 28 Geometry Practice questios ivolvig three figure bearigs i real-life scearios. Related scaled drawigs. 29 Geometry Practice questios ivolvig three figure bearigs i real-life scearios. Related scaled drawigs. 30 Geometry COURSEWORK EXAMINATION 31 Algebra Review of Number Laws Associative law Commutative law Distributive law Itroductio to simple algebraic sums ad products. e.g. (i) 2(5x ) 3(4x), x x (ii) 2 5 (iii) 7(2x 3) 32 Algebra Use of the Number laws to simplify algebraic expressios. 2(5x 4) 6(3x 8) 2 (5x 4) 15x 2(14 8x ) Algebra Review of solutio of simple algebraic equatios. 8 x 4 3x More algebraic equatios 2(5x 4) 28 3(7x 4) 4(2x 5) 7 34 Algebra Practice Solvig equatios 35 Algebra Practice Solvig equatios 36 Algebra Multiplicatio of algebraic fractios assessmet Markig of Exercise Books Paper & pe/pecil test Math is Fu Teacher Illustratio Studet Ivestigatios assessmet Markig of Exercise Books

6 27 th Oct Week 9 3 rd Nov 3x 20 4 Divisio of algebraic fractios 9x 3x Algebra Solvig equatios ivolvig simple algebraic fractios. 3x Algebra Practice i solvig equatios ivolvig simple algebraic fractios. 3x Algebra Solvig equatios ivolvig more algebraic fractios. x 3 2 5x Algebra Practice solvig equatios ivolvig more algebraic fractios. 3x 3 x Algebra Write give worded statemets i algebraic form. The legth of a rectagle is oe cm less tha twice its width. If the width is x cm, write a expressio i terms of x for its legth. 42 Algebra Write give worded statemets i algebraic form. Use algebraic expressios to solve worded problems. 43 Algebra Use algebraic expressios to solve worded problems. (More practice) 44 Algebra Create simple formulae from give iformatio. The perimeter of a square is P cm. If the legth of oe side of the square is x cm, express P i terms of x. 45 Algebra Math is Fu Teacher Illustratio Studet Ivestigatios assessmet Markig of Exercise Books Math is Fu Teacher Illustratio Studet Ivestigatios assessmet Markig of Exercise Books

7 Week 10 Edig 10 th Nov Week 11 Edig 17 th Nov Create simple formulae from give iformatio. (More practice) A stack of paper cotaiig T sheets is shared amog studets so that each perso gets m sheets. If there were r sheets remaiig, costruct a formula ivolvig T,, m ad r. 46 Algebra Substitutio of umerical values ito formulae. q r If p, where q 2, r 18, 2t t 4, fid the value of p. 47 Algebra Substitutio of umerical values ito formulae. (simple umerical fractios) 48 Algebra Chagig the subject of simple formulae. p 2t k 3x 5 4x r 2 z 5y 4x 3 z 49 Algebra Chagig the subject of simple formulae. p 2t 5 k 3 3x 5 2r 2 6x 1 5 y 2r 3 50 Algebra Chagig the subject of simple formulae. p 2t k x 2 5 4x 2 x 5 4 2x y z 51 Algebra Review worksheet o Algebra 52 Algebra Review worksheet o Algebra 53 Algebra Math is Fu Teacher Illustratio Studet Ivestigatios assessmet Math is Fu

8 Week 12 Edig 24 th Nov Week 13 Edig 1st Dec Coursework Examiatio o Algebra 54 Probability Terms used i probability theory Radom Bias Experimet Outcome Evet Possibility Space/Sample Space diagrams Probability formula (theoretical) Numberof favourableoutcomes P( A) Total umberof possibleoutcomes 55 Probability Evets as oe or more outcomes. Usig the Possibility Space diagram to determie probability of evets. 56 Probability Mutually Exclusive Evets Additio of probabilities 57 Probability Idepedet Evets Multiplicatio of probabilities 58 Probability Probability trees 59 Probability Experimetal probability 60 Revisio Day END OF TERM EXAMINATIONS Teacher Illustratio Studet Ivestigatios assessmet Paper & pe/pecil test Week 14 Edig 8th Dec Week 15 Edig 15th Dec END OF TERM EXAMINATIONS Preparatio of Reports Preparatio of Reports Preparatio of Reports Christmas Cocert ad Distributio of Reports Ed of Term Summative Assessmet Paper & pe/pecil test. Evaluatio of Performace Prepared by Nazim Mohammed