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1 | SCHEMES OF WORK YEAR:______________- | |||||||||||||||||||||||||
2 | NAME: SUBJECT:BASIC MATHEMATICS SCHOOL: | |||||||||||||||||||||||||
3 | O-LEVEL : F4 | TERM 1 | ||||||||||||||||||||||||
4 | Competence | Objectives | Month | Week | Main Topic | Sub-Topic | Periods | T/Activities | L/Activities | T/L Materials | Refrences | Assessment | Remarks | |||||||||||||
5 | Solve general mathematical problems on coordinate geometry | Apply mathematical knowledge and skills to form lines, calculate distance between two points and do problems on paralllel and perpendicular lines in 2-D | JANUARY | 1 | Coordinate Geometry | Gradient or Slope | 18 | To show gradient, equation of a line, midpoint, distance between two points and parallel and perpendicular lines | To find gradient, equation of a line, midpoint, distance between two points and parallel and perpendicular lines | Graph papers, math instruments, chalks | Secondary basic math book 4 TIE Internet and other books | Can students find slope, equation of a line, midpoint and distance between two points Can students apply parallel and perpendicular lines in solving problems | ||||||||||||||
6 | Equation of a Line | |||||||||||||||||||||||||
7 | Equation of a Line | |||||||||||||||||||||||||
8 | Midpoint of a line segment | |||||||||||||||||||||||||
9 | Midpoint of a line segment | |||||||||||||||||||||||||
10 | Distance between two points | |||||||||||||||||||||||||
11 | 2 | Coordinate Geometry | Distance between two points | |||||||||||||||||||||||
12 | Parallel lines | |||||||||||||||||||||||||
13 | Parallel lines | |||||||||||||||||||||||||
14 | Perpendicular lines | |||||||||||||||||||||||||
15 | Perpendicular lines | |||||||||||||||||||||||||
16 | Problem solving | |||||||||||||||||||||||||
17 | 3 | Coordinate Geometry | Solving problems | To solve various problems | To solve various problems | |||||||||||||||||||||
18 | Solving problems | |||||||||||||||||||||||||
19 | Solving problems | |||||||||||||||||||||||||
20 | Solving problems | |||||||||||||||||||||||||
21 | Solving problems | |||||||||||||||||||||||||
22 | Solving problems | |||||||||||||||||||||||||
23 | Compute area of polygons | Derive and apply area and perimeter formulae for 2-D figures | 4 | Area and Perimeter | Area of a triangle | 24 | To show how to find areas and perimeters of 2- D figures | To find areas and perimeters of 2- D figures | Mathematical instruments, Chalks, charts, graph papers, mathematical tables,marker pens and rubber | Secondary basic math book 4 TIE Internet and other books | Can students calculate areas and perimeters of 2-D figures | |||||||||||||||
24 | Area of a triangle | |||||||||||||||||||||||||
25 | Area of a trapezium | |||||||||||||||||||||||||
26 | Area of a trapezium | |||||||||||||||||||||||||
27 | FEBRUARY | 5 | Area of parallelogram | |||||||||||||||||||||||
28 | Area of a rhombus | |||||||||||||||||||||||||
29 | Area and Perimeter | Areas of a rectangle and a square | ||||||||||||||||||||||||
30 | Areas of a rectangle and a square | |||||||||||||||||||||||||
31 | 6 | Perimeter of a regular polygon | ||||||||||||||||||||||||
32 | Perimeter of a regular polygon | |||||||||||||||||||||||||
33 | Area of a regular polygon | |||||||||||||||||||||||||
34 | Area of a regular polygon | |||||||||||||||||||||||||
35 | Area and Perimeter | Area of a regular polygon | ||||||||||||||||||||||||
36 | 7 | Area of a regular polygon | ||||||||||||||||||||||||
37 | Area of similar polygons | |||||||||||||||||||||||||
38 | Area of similar polygons | |||||||||||||||||||||||||
39 | Area of similar polygons | |||||||||||||||||||||||||
40 | Area of similar polygons | |||||||||||||||||||||||||
41 | Perform math experiments and predict outcomes | Calculate the probability of an event and perform simple combinations of probabilbities | 8 | Probability | Probability set and event | 6 | To guide how to find probability of an event and combined events | construct 3-D,find angles,areas and volumes of 3-D figures | Coin,die, coloured chalks, playing cards | Secondary basic math book 4 TIE Internet and other books | Can students find probability of an event and use tree diagram | |||||||||||||||
42 | Probability of an event | |||||||||||||||||||||||||
43 | Probability of an event | |||||||||||||||||||||||||
44 | Combined events and tree diagram | |||||||||||||||||||||||||
45 | Combined events and tree diagram | |||||||||||||||||||||||||
46 | Combined events and tree diagram | |||||||||||||||||||||||||
47 | Perform math experiments and predict outcomes | Calculate the probability of an event and perform simple combinations of probabilbities | MARCH | 9 | Probability | Mutually Exclusive Events | 6 | To guide how to find probability of an event and combined events | construct 3-D,find angles,areas and volumes of 3-D figures | Coin,die, coloured chalks, playing cards | Secondary basic math book 4 TIE Internet and other books | Can students find probability of an event and use tree diagram | ||||||||||||||
48 | Mutually Exclusive Events | |||||||||||||||||||||||||
49 | Mutually Exclusive Events | |||||||||||||||||||||||||
50 | Problem solving | |||||||||||||||||||||||||
51 | Problem solving | |||||||||||||||||||||||||
52 | Problem solving | |||||||||||||||||||||||||
53 | Apply trigonometry iin different fields | Draw graphs of sine and cosine functions. Apply sine and cosine rules to solve problems | 10 | Trigonometry | Trigonometric ratios in a unit circle | 18 | To show how to find trig ratios, sine and cosine functions. To show sine and cosine rules are applicable and the compound angle formula | Find trig ratios, sine and cosine functions | Mathematical tables, mathematical instruments, and graph papers | Secondary basic math book 4 TIE Internet and other books | Can students find trig ratios and draw graphs of trig functions | |||||||||||||||
54 | Trigonometric ratios in a unit circle | |||||||||||||||||||||||||
55 | Signs of trigonometric ratios | |||||||||||||||||||||||||
56 | Signs of trigonometric ratios | |||||||||||||||||||||||||
57 | Values of sine and cosine from unit circle | |||||||||||||||||||||||||
58 | Values of sine and cosine from unit circle | |||||||||||||||||||||||||
59 | 11 | Trigonometry | Determine trig. Ratios using coordinates | |||||||||||||||||||||||
60 | Determine trig. Ratios using coordinates | |||||||||||||||||||||||||
61 | Relationship between trigonometric ratios | |||||||||||||||||||||||||
62 | Relation between trigonometric ratios | |||||||||||||||||||||||||
63 | Positive and negative angles | |||||||||||||||||||||||||
64 | Positive and negative angles | |||||||||||||||||||||||||
65 | 12 | Trigonometry | Trigonometric ratios of special angles | |||||||||||||||||||||||
66 | Trigonometric ratios of special angles | |||||||||||||||||||||||||
67 | Application of trigonometric ratios | State sine and cosine rules and compound angles | Can students apply sine and cosine rules | |||||||||||||||||||||||
68 | Application of trigonometric ratios | |||||||||||||||||||||||||
69 | Even and odd functions | |||||||||||||||||||||||||
70 | Even and odd functions | |||||||||||||||||||||||||
71 | APRIL | 13 | MIDTERM EXAMS | |||||||||||||||||||||||
72 | O-LEVEL : F4 | TERM 1 | ||||||||||||||||||||||||
73 | Apply trigonometry iin different fields | Draw graphs of sine and cosine functions. Apply sine and cosine rules to solve problems | APRIL | 14 | Trigonometry | The sine rule | 12 | To show how to find trig ratios, sine and cosine functions. To show sine and cosine rules are applicable and the compound angle formula | State sine and cosine rules and compound angles | Mathematical tables, mathematical instruments, and graph papers | Secondary basic math book 4 TIE Internet and other books | Can students apply sine and cosine rules | ||||||||||||||
74 | The sine rule | |||||||||||||||||||||||||
75 | The cosine rule | |||||||||||||||||||||||||
76 | The cosine rule | |||||||||||||||||||||||||
77 | The cosine of sum of two angles | |||||||||||||||||||||||||
78 | The cosine of difference of two angles | |||||||||||||||||||||||||
79 | 15 | Trigonometry | The cosine of difference of two angles | |||||||||||||||||||||||
80 | The sine of sum of two angles | |||||||||||||||||||||||||
81 | The sine of difference of two angles | |||||||||||||||||||||||||
82 | The sine of difference of two angles | |||||||||||||||||||||||||
83 | Problem solving | |||||||||||||||||||||||||
84 | Problem solving | |||||||||||||||||||||||||
85 | Apply trigonometry iin different fields | 16 | Vectors | Displacement, Equal vectors | 12 | To show how to find trig ratios, sine and cosine functions. To show sine and cosine rules are applicable and the compound angle formula | State sine and cosine rules and compound angles | Mathematical tables, mathematical instruments, and graph papers | Secondary basic math book 4 TIE Internet and other books | Can students apply sine and cosine rules | ||||||||||||||||
86 | Position vectors | |||||||||||||||||||||||||
87 | Componenets of vectors | |||||||||||||||||||||||||
88 | Standard unit vectors i and j | |||||||||||||||||||||||||
89 | Magnitude of a vector | |||||||||||||||||||||||||
90 | Direction of a vector | |||||||||||||||||||||||||
91 | Do computation on vectors | Find the suum, difference and scalar multiplication of vectors and hence use the knowledge to solve practical problems | MAY | 17 | Vectors | Addition of vectors triangle law | To define displacement and position vectors. To show how to find magnitude and direction of a vector, sum, difference and allication of vectors | Define terms, find magnitude and direction of vectors. To find sum, difference, multication and application of vectors | Graph papers, math instruments, chalks, mathematical tables | Secondary basic math book 4 TIE Internet and other books | Can the students do operation on vectors and apply this knowledge on various problems | |||||||||||||||
92 | Addition of vectors parallelogram law | |||||||||||||||||||||||||
93 | Addition of vectors polygon law | |||||||||||||||||||||||||
94 | Opposite vectors | |||||||||||||||||||||||||
95 | Difference of vectors | |||||||||||||||||||||||||
96 | Multiplication of a vector by a scalar | |||||||||||||||||||||||||
97 | 18 | Application of vectors | ||||||||||||||||||||||||
98 | Application of vectors | |||||||||||||||||||||||||
99 | Revision | |||||||||||||||||||||||||
100 | Revision | |||||||||||||||||||||||||