Yearly Teaching Plan 2011-Mathsf4

8/3/2019 Yearly Teaching Plan 2011-Mathsf4

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YEARLY TEACHING PLAN 2011 MATHEMATICS FORM 4

WEEK /

DATELEARNING OBJECTIVES LEARNING OUTCOMES REMARKS

1

3/01/11

7/01/11

CHAPTER 1 STANDARD FORM

1.1 Understand and use the concept

of significant figure

(i) Round off positive numbers to a given number of

significant figures when the numbers are:

(a) greater than 1;

(b) less than 1(ii) Perform operations of addition, subtraction,

multiplication and division, involving a few numbers and

state the answer in specific significant figures

(iii)Solve problems involving significant figures

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21/01/11


of standard form to solve problems

(i) State positive numbers in standard form when the

numbers are:

(a) greater than or equal to 10;

(b) less than 1(ii) Convert numbers in standard form to single numbers

(iii)Perform operations of addition, subtraction,

multiplication and division, involving any two numbers

and state the answers in standard form

(iv)Solve problems involving numbers in standard form

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24/01/11

28/01/11

CHAPTER 2 QUADRATIC

ESPRESSIONS & EQUATIONS

2.1 Understand the concept of

quadratic expressions

(i) Identify quadratic expressions

(ii) Form quadratic expressions by multiplying any two

linear expressions

(iii)Form quadratic expressions based on specific situations

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31/01/11

2/02/11

2.2 Factorise quadratic expressions (i) Factorise quadratic expressions of the form

(ii) Factorise quadratic expressions of the form


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(iii)Factorise quadratic expressions of the form

(iv)Factorise quadratic expression containing coefficients

with common factors

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3/02/11

4/02/11

CUTI TAHUN BARU CINA

6

7/02/11

11/02/11


quadratic equations

(i) Identify quadratic equations with one unknown

(ii) Write quadratic equations in general form i.e.

(iii)Form quadratic equations based on specific situations

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14/02/11

18/02/11


of roots of quadratic equations to

solve problems

(i) Determine whether a given value is a root of a specific

quadratic equation

(ii) Determine the solutions for quadratic equations by:

(a) trial and error method;

(b) fatorisation

(iii)Solve problems involving quadratic equations

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21/02/11

25/02/11

CHAPTER 3 SETS

3.1 Understand the concept of set (i) Sort given objects into groups

(ii) Define sets by:

(a) description;

(b) using set notation

(iii)Identify whether a given object is an element of a set

and use the symbol or

(iv)Represent sets using Venn diagrams(v) List the elements and state the number of elements of a

set

(vi)Determine whether a set is an empty set

(vii)Determine whether two sets are equal

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4/03/11


of subset, universal set and the

complement of a set

(i) Determine whether a given set is a subset of a specific

set and use symbol or(ii) Represent subset using Venn diagram


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(iii)List the subsets for a specific set

(iv)Illustrate the relationship between set and universal set

using Venn diagram(v) Determine the complement of a given set

(vi)Determine the relationship between set, subset,

universal set and the complement of a set

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7/03/11

11/03/11

UJIAN PENCAPAIAN 1

11

11/03/11 20/03/11

CUTI PERTENGAHAN PENGGAL

12

21/03/11

25/03/11

3.3 Perform operations on sets:

y The intersection of sets

y The union of sets

(i) Determine the intersection of:

(a) two sets;

(b) three sets

and use the symbol

(ii) Represent the intersection of sets using Venn diagram

(iii)State the relationship between

(a) A B and A ;(b) A B and B

(iv)Determine the complement of the intersection of sets

(v) Solve problems involving the intersection of sets

(vi)Determine the union of:

(a) two sets;

(b) three sets

and use the symbol

(vii)Represent the union of sets using Venn diagram(viii) State the relationship between:

(a) A B and A ;

(b) A B and B

(ix)Determine the complement of the union of sets

(x) Solve problems involving the union of sets

(xi)Determine the outcome of combined operations on sets

(xii)Solve problems involving combined operations on sets


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13

28/03/11

1/04/11

CHAPTER 4 MATHEMATICAL

REASONING


statements

(i) Determine whether a given sentence is a statement

(ii) Determine whether a given statement is true or false

(iii)Construct true or false statement using given numbers

and mathematical symbols

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8/04/11


quatifiers all and some

(i) Construct statements using the quantifier:

(a) all;

(b) some

(ii) Determine whether a statement that contains thequantifier all is true or false

(iii)Determine whether a statement can be generalized to

cover all cases using the quantifier all

(iv)Construct a true statement using the quantifier all or

some, given an object and property

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15/04/11

4.3 Perform operations involving the

words not or no, and and or on

statements

(i) Change the truth value of a given statement by placing

the word not or no into the original statement

(ii) Identify two statements from a compound statementthat contains the word and

(iii)Form a compound statement by combining two given

statements using the word and

(iv)Identify two statements from a compound statement

that contains the word or

(v) Form a compound statement by combining two given

statements using the word or

(vi)Determine the truth value of a compound statementwhich is the combination of two statements with the

word and

(vii)Determine the truth value of a compound statement

which is the combination of two statements with the

word or

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11/04/11


implication

(i) Identify the antecedent and consequent of an

implication ifp, then q


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22/04/11 (ii) Write two implications from a compound statement

containing if and only if

(iii)Construct mathematical statements in the form ofimplication:

(a) ifp, then q;

(b) p if and only ifq

(iv)Determine the converse of a given implication

(v) Determine whether the converse of an implication is

true or false

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argument

(i) Identify the premises and conclusion of a given simple

argument(ii) Make a conclusion based on two given premises for:

(a) Argument Form I;

(b) Argument Form II;

(c) Argument Form III

(iii)Complete an argument, given a premise and the

conclusion

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25/04/11 -29/04/11


of deduction and induction to solveproblems

(i) Determine whether a conclusion is made through:

(a) reasoning by deduction;(b) reasoning by induction

(ii) Make a conclusion for a specific case based on a given

general statement by deduction

(iii)Make a generalization based on the pattern of a

numerical sequence by induction

(iv)Use deduction and induction in problem-solving

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2/05/11

6/05/11

CHAPTER 5 THE STRAIGHT LINE


gradient of a straight line

(i) Determine the vertical and horizontal distances between

two given points on a straight line

(ii) Determine the ratio of vertical distance to horizontal

distance

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2/05/11

6/05/11


gradient of the straight line in

Cartesian coordinates

(i) Derive the formula for gradient of a straight line

(ii) Calculate the gradient of a straight line passing through

two points


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(iii)Determine the relationship between the value of the

gradient and the:

(a) steepness;(b) direction of inclination of a straight line

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9/05/11

13/05/11


intercept

(i) Determine the x-intercept and the y-intercept of a

straight line

(ii) Derive the formula for the gradient of a straight line in

terms of the x-intercept and the y-intercept

(iii)Perform calculations involving gradient, x-intercept and

y-intercept

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20/05/11

5.4 Understand and use equation ofa straight line

(i) Draw the graph given an equation of the form

(ii) Determine whether a given point lies on a specific

straight line

(iii)Write the equation of the straight line, given the

gradient and the y-intercept

(iv)Determine the gradient and the y-intercept of the

straight line whose equation is of the form:

(a) (b)

(v) Find the equation of the straight l ine which:

(a) is parallel to the x - axis;

(b) is parallel to the y - axis;

(c) passes through a given point and has a specific

gradient;

(d) passes through two given points

(vi)Find the point of intersection of two straight lines by:(a) drawing the two straight lines:

(b) solving simultaneous equations

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16/05/11

20/05/11


of parallel lines

(i) Verify that two parallel lines have the same gradient and

vice versa

(ii) Determine from the given equations whether two

straight lines are parallel

(iii)Find the equation of the straight l ine which passes


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through a given point and is parallel to another straight

line

(iv)Solve problems involving equations of straight lines21

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27/05/11

PEPERIKSAAN PERTENGAHAN TAHUN

22, 23

28/05/11

12/06/11

CUTI PERTENGAHAN TAHUN

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13/06/11 17/06/11

CHAPTER 6 STATISTICS III

6.1 Understand the concept of class

interval

(i) Complete the class interval for a set of data, given one of

the class intervals

(ii) Determine:

(a) the upper limit and lower limit;

(b) the upper boundary and lower boundary

of a class in a grouped data

(iii)Calculate the size of a class interval

(iv)Determine the class interval, given a set of data and thenumber of classes

(v) Determine a suitable class interval for a given set of data

(vi)Construct a frequency table for a given set of data

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24/06/11


of mode and mean of grouped data

(i) Determine the modal class from the frequency table of

grouped data

(ii) Calculate the midpoint of a class

(iii)Verify the formula for the mean of grouped data

(iv)Calculate the mean from the frequency table of groupeddata

(v) Discuss the effect of the size of class interval on the

accuracy of the mean for a specific set of grouped data

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20/06/11

1/07/11

6.3 Represent and interpret data in

histograms with class interval of the

same size to solve problems

(i) Draw a histogram based on the frequency table of a

grouped data

(ii) Interpret information from a given histogram

(iii)Solve problems involving histograms


8/13

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4/07/11

8/07/11

6.4 Represent and interpret data in

frequency polygons to solve

problems

(i) Draw the frequency polygon based on:

(a) a histogram;

(b) a frequency table(ii) Interpret information from a given frequency polygon

(iii)Solve problems involving frequency polygons

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4/07/11

15/07/11


cumulative frequency

(i) Construct the cumulative frequency table for:

(a) ungrouped data;

(b) grouped data

(ii) Draw the ogive for:

(a) ungrouped data;

(b) grouped data29

18/07/11

22/07/11


of measures of dispersion to solve

problems

(i) Determine the range of a set of data:

(ii) Determine:

(a) the median;

(b) the first quartile;

(c) the third quartile;

(d) the interquartile range

from the ogive

(iii)Interpret information from an ogive(iv)Solve problems involving data representations and

measures of dispersion

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25/07/11

29/07/11

CHAPTER 7 PROBABILITY I


sample space

(i) Determine whether an outcome is a possible outcome of

an experiment

(ii) List all the possible outcomes of an experiment:

(a) from activities;(b) by reasoning

(iii)Determine the sample space of an experiment

(iv)Write the sample space using set notation

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5/08/11


events

(i) Identify the elements of a sample space which satisfy

given conditions

(ii) List all the elements of a sample space which satisfy

certain conditions using set notation


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(iii)Determine whether an event is possible for a sample

space

311/08/11

5/08/11

7.3 Understand and use the conceptof probability of an event to solve

problems

(i) Find the ratio of the number of times an event occurs tothe number of trials

(ii) Find the probability of an event from a big enough

number of trials

(iii)Calculate the expected number of times an event will

occur, given the probability of the event and the number

of trials

(iv)Solve problems involving probability

(v) Predict the occurrence of an outcome and makedecision based on known information

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8/08/11

12/08/11

CHAPTER 8 CIRCLES III


of tangents to a circle

(i) Identify tangents to a circle

(ii) Make inference that the tangent to a circle is a straight

line perpendicular to the radius that passes through the

contact point

(iii)Construct the tangent to a circle passing through apoint:

(a) on the circumference of the circle

(b) outside the circle

(iv)Determine the properties related to two tangents to a

circle from a given point outside the circle

(v) Solve problems involving tangents to a circle

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8/08/11 18/08/11

8.2 Understand and use the

properties of angle between tangentand chord to solve problems

(i) Identify the angle in the alternate segment which is

subtended by the chord through the contact point of thetangent

(ii) Verify the relationship between the angle formed by the

tangent and the chord and the angle in the alternate

segment which is subtended by the chord

(iii)Perform calculations involving the angle in the alternate

segment

(iv)Solve problems involving tangent to a circle and angle in


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alternate segment

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UJIAN PENCAPAIAN 2

35

29/08/11

4/09/11

CUTI PERTENGAHAN PENGGAL - II

36

5/09/11

9/09/11


properties of common tangents to

solve problems

(i) Determine the number of common tangents which can

be drawn to two circles which:

(a) intersect at two points;

(b) intersect only at one point;(c) do not intersect

(ii) Determine the properties related to the common

tangent to two circles which:

(a) intersect at two points;

(b) intersect only at one point;

(c) do not intersect

(iii)Solve problems involving common tangents to two

circles(iv)Solve problems involving tangents and common

tangents

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12/09/11

23/09/11

CHAPTER 9 TRIGONOMETRY II


of the values of sin , cos and

tan (00

3600

)to solveproblems

(i) Identify the quadrants and angles in the unit circle

(ii) Determine:

(a) the value of y-coordinate;

(b) the value of x-coordinate;(c) the ratio of y-coordinate to x-coordinate

of several points on the circumference of the unit circle

(iii)Verify that, for an angle in quadrant I of the unit circle:

(a) sin = y-coordinate;

(b) cos = x-coordinate;

(c) tan =


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(iv)Determine the value of:

(a) sine;

(b) cosine;(c) tangent

of an angle in quadrant I of the unit circle

(v) Determine the values of :

(a) sin ;

(b) cos ;

(c) tan

for 900

3600

(vi)Determine whether the values of:

(a) sine;

(b) cosine;

(c) tangent

of an angle in a specific quadrant is positive or negative

(vii)Determine the values of sine, cosine and tangent for

special angles

(viii) Determine the values of the angles in quadrant I

which correspond to the values of the angles in other

quadrants

(ix)State the relationships between the values of:

(a) sine;

(b) cosine:

(c) tangent

of angles in quadrants II, III and IV with their respective

values of the corresponding angle in quadrant I

(x) Find the values of sine, cosine and tangent of the angles

between 900

3600

(xi)Find the angles between 00

3600

, given the values

of sine, cosine or tangent

(xii)Solve problems involving sine, cosine and tangent

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9.2 Draw and use the graphs of sine,

cosine and tangent

(i) Draw the graphs of sine, cosine and tangent for angles


12/13

30/09/11 between 00

3600

(ii) Compare the graphs of sine, cosine and tangent for

angles 00 3600

(iii)Solve problems involving graphs of sine, cosine and

tangent

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3/10/11

7/10/11

CHAPTER 10 ANGLES OF

ELEVATION & DEPRESSION


concept of angle of elevation and

angle of depression to solve

problems

(i) Identify:

(a) the horizontal line;

(b) the angle of elevation;

(c) the angle of depression

for a particular situation

(ii) Represent a particular situation involving:

(a) the angle of elevation;

(b) the angle of depression

using diagrams

(iii)Solve problems involving the angle of elevation and the

angle of depression

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14/10/11

CHAPTER 11 LINES AND PLANES

IN 3-DIMENSIONS


concept of angle between lines and

planes to solve problems

(i) Identify planes

(ii) Identify horizontal planes, vertical planes and inclined

planes

(iii)Sketch a three-dimensional shape and identify the

specific planes

(iv)Identify:

(a) lines that lies on a plane;

(b) lines that intersect with a plane

(v) Identify normals to a given plane

(vi)Determine the orthogonal projection of a line on a plane

(vii)Draw and name the orthogonal projection of a line on a


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plane

(viii) Determine the angle between a line and a plane

(ix)Solve problems involving the angle between a line and aplane

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21/10/11


concept of angle between two

planes to solve problems

(i) Identify the line of intersection between two planes

(ii) Draw a line on each plane which is perpendicular to the

line of intersection of the two planes at a point on the

line of intersection

(iii)Determine the angle between two planes on a model

and a given diagram

(iv)Solve problems involving lines and planes in 3-dimensional shapes

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28/10/11

CUTI DEEPAVALI

44, 45, 46

31/10/11 -

18/11/11

PEPERIKSAAN AKHIR TAHUN

4721/11/11

1/01/12

CUTI AKHIR TAHUN

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Yearly Teaching Plan 2011-Mathsf4