SCHEME OF WORK CHECKLIST FROM SEPT 2015FORM...
Transcript of SCHEME OF WORK CHECKLIST FROM SEPT 2015FORM...
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SCHEME OF WORK CHECKLIST FROM SEPT 2015 ....FORM 3: TERM I .
TEXT: MATHEMATICS A COMPLETE COURSE WITH CXC QUESTIONS VOL. 1
1. ALGEBRA (III)
WEEK 1&2 6. Use symbols to represent Binary Operations (other than the four basic ones)& perform simple computations with them\. .' ..
9. Use the Laws of Indices to manipulate, expressions with integral indices.(may want to consider fractional indices) (p258-264)
13. Formulae (change of subject, include square & square reots),(Toolsie Vol.2, p744, Ex. 13c, Q76-134) .
WEEK 3&4 12. Use Linear Inequalities to solve word problems (p240-244; p252-254)
11. Solve Simultaneous Linear Equations in two unknowns algebraically(P244-248), .
16. Use simultaneous linear equations to solve word problems (p254-258)
WEEK 5&6 19. Represent Direct & Inverse Variations symbolically p296-300
20. Solve problems involving direct variation & inverse variation
2. CONSUMER ARITHMETIC (III) (p166-169; 175-193; 197-209)
WEEK 7-9 6. Calculate (for not more than 3 years)
Compound InterestAppreciationDepreciationAmount
7. Solve problems involving measures & money (including exchange rate)
8. Solve problems involving
(a) Rates & Taxes (including Income Tax)(b) Investments
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3. MEASUREMENT (lID . -r : f'". ';
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WEEK'10-14 2. Calculate the length of an arc of a circle .
4. Calculate the area of a sector of a circle -.-'.Use Hero's formula for the area of a triangle.. ,-
5. Solve problems using:
the properties of faces, 'ed~es & vertices of solids,
(i) Cylinder(ii) Sphere(Hi) Cone
6. Calculate the area of a segment of a circle;-:.t
8. Calculate the surface area of solids; .~ . .
(a) Cylinder(b) Sphere
;'. (c)Cone
9. Calculate the volume of solids. . .
(a) Cylinder'. (b) Sphere(c) Cone
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SCHEME OF WORK CHECKLIST FROM SEPT 2015 - FORM 3 TERM n
4. STATISTICS (III) (P336-389)
WEEK 1-4 1. Differentiate between types of data:
Discrete 8t. C91:1tinUOUSvariablesUngrouped & Grouped data
2. Construct a Frequency Table for a given set of data:
UngroupedGrouped data
3. Determine class features for a given set of data:
Max/MinRange
. Extreme values & their effectClass intervalClass boundariesClass limitsClass midpointClass width
4. Represent numerical & statistical data byHistogramFrequency polygon
5. Interpret data presented in any of the graphical or pictorial forms named inobjective 4 above
6. Determine measures of central tendency (mean, median & mode) for
RawUngroupedGrouped data (no median)
7. Determine when it is most appropriate to use as the average for a set of dataMeanMedianMode
8. Determine the measures of dispersion /spread(e.g. Range, Interquartile & Semi-interquartilerange), for
(i) Raw(ii) Ungrouped data
11. Analyze statistical data & diagrams, commenting on theaveragesthe Dispersion (Spread)the Shape of the Frequency Distributioneffect of extreme values
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12. Determine the Proportion or Pe~ntage'ofthe sample above or below a. •given value from Raw data or Table '.,
13. IdentifY the Sample Space for a simple experiment
14. Determine Experimental & Theoretical probabilities of simple events ,..,
15. Apply statistical methods to analyze data & make appropriate inference(s) from:" ,':.
Raw dataTablesDiagrams
5. RELATIONS. FUNCTIONS & GRAPHS (ill (P288-296;p304-313)
WEEK 5-7 1.Explain concepts associated with relations:
TypesExamples & Non-examplesDomainRangeImageCo-domain
2. Represent a relation in various ways: .
Set of Ordered PairsArrow diagrams
. . .GraphicallyAlgebraically
3. State the characteristics that define a Function: .
Many-to-one or One-to-one relationExamples & Non-examples
4. Use the functional notations, for example,fx -+~; orl(x) == X2; as wellasy =I(x) for given domains (p294-296)
5, Distinguish between a Relation & a Function:
Ordered pairsArrow diagramsGraphically (vertical I..~ Test)
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WEEK 8&9 ' 6. Draw & Interpret-graphs of Linear Functions: (p280-282, p300-304)y=c;x =k;y=mx+c
7. Determine the Intercepts of the graph of linear functions:x- &y- intercepts;GraphicallyAlgebraically
8. Determine the Gradient of a straight line: slope - the ratio of the verticalrise to the horizontal shift (p304-310)
WEEK 10-12 9. Determine the Equation of a ¥e given:
(a) the graph of the line
(b) the co-ordinates of two points on the line
(c) fhe gradient & one point on the line
(d) the gradient of the line & its relationship to another line.
10. Solve problems involving the Gradient of Parallel & Perpendicular lines(p915-929)
11. Determine from the co-ordinates on a line segment:
(a) the length(b) the co-ordinates of the mid-point
12. Solve graphically a system of two linear equations in two variables (p313-319)__
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SCHEME OF WORK CHECKLIST FROM SEPT 20t~- FORM 3 TERM m.
6. GEOMETRY & TRIGONOMETRY ill
WEEK 1- 4 13. Determine the (P540-571)(i) Sine(ii) Cosine(iii) Tangent ratios of acute angles in a right-angled triangle
14. Use the(i) Sine(ii) Cosine(iii) Tangent ratios in the solution of right-angled triangles
IS. Use simple trigonometrical ratios to solve problems based on measures inthe physical world
(a) Heights &Distances(b) Angles of Elevation &Depression
17. Represent the relative position of two points given the Bearing of one pointwith respect to the other (include Can:tinalpoints)
18. Determine the Bearing of one point relative to another point given the positionof the points
19. Solve problems involving Bearings
WEEK 5 - REVISION EXERCISES, TESTS & PAST PAPERS
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