xa.yimg.comxa.yimg.com/.../24779538/1777070780/name/yearly+less… · Web viewSMK SERI KUNDANG, 48020 RAWANG, SELANGOR. YEARLY LESSON PLAN. ... Form a compound statement by combining

SMK SERI KUNDANG, 48020 RAWANG, SELANGORYEARLY LESSON PLAN

MATHEMATICSFORM 4, 2012

WEEK DATE TOPIC / LEARNING OBJECTIVE LEARNING OUTCOMES NOTES1 4 Jan – 6 Jan 1. STANDARD FORM

1.1 Understand and use the concept of significant figures

(i) Round off positive numbers to a given number of significant figures when the numbers are : (a) greater than 1 (b) less than 1

2 9 Jan – 13 Jan 1. STANDARD FORM1.1 Understand and use the concept of significant figures

(ii) Perform operations of addition, subtraction, multiplication and division, involving a few numbers and state the answer in specific significant figures.(iii) Solve problem involving significant figures.

3 16 Jan – 20 Jan 1. STANDARD FORM1.2 Understand and use the concept of standard form to solve problems

(i) State positive number in standard form when the numbers are :(a) Greater than 1(b) Less than 1

(ii) Convert numbers in standard form to single number

4 Cuti Tahun Baru Cina (23 – 24 Jan)Cuti Peristiwa 1 (25 Jan)

Cuti Berganti 1 dan 2 (26 -27Jan]

5 30jan- 3feb 1. STANDARD FORM1.2 Understand and use the concept of standard form to solve problems

(iii) Perform operation of addition, subtraction, multiplication and divison,involving any two numbers and state the answers in standard form.(ix) Solve problems involving numbers in standard form.

6 8 feb- 11 feb 2. QUADRATIC EXPRESSIONS AND EQUATIONS

2.1 Understand the concept of quadratic expression.

(i) Factorise quadratic expressions of the form a x2+bx+c, where b=0 or c=0(ii) Factorie quadratic expressions of the form p x2−q, p and q are perfect squares

7 Feb - Thaipusam



2.2 Factorise quadratic expression (iii) Factorise quadratic expressions of the form x2+bx+c , where a, b and c not equal to zero.(ix) Factorise quadratic expressions containing coefficients with common factors.

7 13-17 feb 2. QUADRATIC EXPRESSIONS AND EQUATIONS

2.3 Understand the concept of quadratic equation

2.4 Understand and use the concept of roots of quadratic equations to solve problems

(i) Identify quadratic equations with one unknown(ii) Write quadratic equation in general form i.e a x2+bx+c=0(iii) Form quadratic equations based on specific situations.

(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) Factorisation

(iii) Solve problems involving quadratic equations

8 20-24 feb 3. SETS3.1 Understand the concept of set (i) Sort given object into groups

(ii) Define sets by(a) Descriptions(b) Using set notation

(iii) Identify whether a given object is an element of a set and use the symbols ∈ or ∉(iv) represent set by 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



3.2 Understand and use the concept of subsets, universal set and the complement of set

3.3 Perform operations on sets - The intersection of sets

(i) Determine whether a given set is a subset of a specific set and use the symbol ⊂ or ⊄

(ii) Represent subset using Venn Diagram(iii) List the subsets for a specific set(iv) Illustrate the relationship between set and universal set using Venn diagram(v) Determine the compliment of a given set(vi) Determine the relationship between set, subset, universal set and the compliment of a set.(i) Determine the intersection of

(a) Two sets(b) Three sets and use the symbol of ⋂

(ii) Represent the intersection of sets using Venn diagram

(iii) State the relationship between (a) A ⋂ B and A(b) A ⋂ B and A

(iv) Determine the complement of the intersection of sets

(v) Solve problems involving the intersection of sets9 27feb-2mac 3.SETS

3.3 Perform operations on sets- The union of sets

(v) Determine the union of(c) Two sets(d) Three sets and use the symbol of ⋃

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

(c) A ⋃ B and A(d) A ⋃ B and A

(viii) Determine the complement of the union of sets



(ix) Solve problems involving the union of sets(x) Determine the outcome of combined operation on

sets(xi) Solve problems involving combined operations on sets

10 5 Mac – 9 Mac UJIAN 1

11 12 Mac – 16 Mac

CUTI PERTENGAHAN PENGGAL 1

12 19-23 MAC 6. STATISTICS6.1 Understand the concept of class interval

6.2 Understand and use the concept of mode and mean of grouped data

i) complete the class interval for asset of data gives 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 data and the number 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

(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(ix) calculate the mean from the frequency table of grouped data(v) discuss the effect of the size of class interval on the



6.3 Represent and interpret data in histograms with class intervals of the same size to solve problems

accuracy of the mean for a specific set of grouped data

(i) draw a histogram based on the frequency table of grouped data(ii) interpret information from a given histogram(iii) solve problems involving histograms

13 26-30 mac 6. STATISTICS6.4 Represent and interpret data in frequency polygons to solve problems

6.5 Understand the concept of cumulative frequency

6.6 Understand and use the concept of measures of dispersion to solve problems

(i) draw a frequency polygon based on (a) histogram (b) a frequency table(ii) interpret information from a given frequency polygon(iii) solve problems involving frequency polygon

(i) construct the cumulative frequency table for (a) ungrouped data (b) grouped data(ii) draw the ogive for (a) ungrouped data (b) grouped data

(i) determine the range of a set 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.



14 2-6 apr 4. MATHEMATICAL REASONING4.1 Understand the concept of statement

4.2 Understand the concept of quantifier ‘all’ and ‘some’

4.3 Perform operations involving the words ‘not’ or ‘no’ and ‘or’ on statement

4.4 Understand the concept of implication

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

(i) Construct statement using the quanifier(a) All(b) Some

(ii) Determine whether a statement that contains the quanifier ‘all’ is true or false

(iii) Determine whether the statement can be generalized to cover all cases by using quantifier ‘all’Construct a true statement using the quantifier ‘all’ and ‘some’ given an object and a property

(i) change the truth value of a given statement by placing the word ‘not’ into the original statement(ii) identify two statements from a compound statement that 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) determine the truth value of a compound statement

which is the combinationof two statements with the word ‘or’

(i) Identify the antecedent and consequent of an implication “If p, then q”



4.5 Understand the concept of argument

(ii) Write two implications from a compound statements containing “if and only if”(iii) construct mathematical statements in the form of implication

(a) If p then q(b) P if and only if q

(iv) determine the converse of a given implication(v) determine whether the converse of an implication is true or false

(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

15 9-14 apr 5. THE STRAIGHT LINE5.1 Understand the concept of gradient of straight line

5.2 Understand the concept of gradient of a staright line in Cartesian coordinates.

(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

(i) Derive the formula for the gradient of the staright line(ii)Calculate the gradient of a staright line passing

through two points(iii) Determine the relationship between the value of the

gradient and the (a) Steepness(b) Direction of inclination of a staright line



5.3 Understand the concept of 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 term of the x-intercept and the y-intercept

(iii) Perform calculation involving gradient, x-intercept and y-intercept

16 16-20 apr 5. THE STRAIGHT LINE5.4 Understand and use equation of a straight line

5.5 Understand and use the concept of parallel lines

(i) Draw the graph given an equation of the form y=mx+c

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

(iii) Write the equation of the straight line given the gradient and y-intecept

(iv) determine the gradient and y-intercept(v) Find the equation of the straight line 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 line by(a) Drawing the two straight line

Solving simultaneous equations

(i) verify that two parallel lines have the same gradient and vise versa(ii) Determine from the given equations whether two straight line are parallel(iii) find the equation of the straight lines which is passed through a given point and is parallel to another



straight line.(iv) solve problems involving equations of straight lines

17 23-27 apr 7. PROBABILITY7.1 Understand the concept of sample space

7.2 Understand the concept of events

7.3 Understand and use the concept of probability of an event to solve problem

(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 by using set notations(iv) write the sample space by using set notations

(i) Identify the elements of a sample space which satisfy given condition(ii) List all the elements of a sample space which satisfy certain conditions using set notations(iii) determine whether an event is possible for a sample space

(i) find the ratio of the number of times an event occurs to the 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 number of trials(iv) solve problems involving probability(v) predict the occurance of an outcome and make a decision based on known information

18 30apr-4mei 8. CIRCLE8.1 Understand and use the concept of tangent to a circle

(i) Identify tangents to a cirle(ii) make inference thaht the tangent to a circle is a



8.2 Understand and use the properties of angle between tangent and chord to solve problems

straight line perpendicular to the radius that passes through the contact point(iii) construct the tangent to a circle passing through a point (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

(i) identify the angle in the alternate segment which is subtended by the chord through the contact point of the tangent(ii) verify the relationship between the angle formed by the tangent and the chord with the angle the alternate segment which is subtended by the chord(iii) perform calculations involving the angle in alternate segment(iv) solve problems involving tangent to a circle and angle in alternate segment

19 7-11 mei 8. CIRCLE8.3 Understand and use the 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 tangents to two circles (a) intersect of two points (b) intersect only at one point (c) do not intersect(iii) solve problems involving common tangent to two circles(iv) solve problems involving tangents and common tangent

20 14-18 mei PEPERIKSAAN PERTENGAHAN TAHUN21 21-25 Mei PEPERIKSAAN PERTENGAHAN TAHUN22 28 Mei – 1 Jun CUTI PERTENGAHAN TAHUN23 4 Jun – 8 Jun CUTI PERTENGAHAN TAHUN24 11 Jun – 5 Jun 9. TRIGONOMETRY II

9.1 Understand and use the concept of the values of sin θ, cosθ and tanθ ((o0≤θ≤3600)

(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 circles(iii) verify that for an angle in quadrant I of the unit circles (a) sin θ = y-coordinate (b) cos θ = x-coordinate

(c) tanθ=¿ y−c oordinatex−coordinate

¿

(iv) determine the values of (a) sine (b) cosine (c) tangent Of an angle in quadrant I of the unit circle(v) determine the values of



(a) sin θ (b) cos θ (c) tanθ For (900≤θ≤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 angles in quadrant I which correspond to the values of the angles in other quadrants.

25 18 Jun – 22 Jun 9. TRIGONOMETRY II9.1 Understand and use the concept of the values of sin θ, cosθ and tanθ ((o0≤θ≤3600)

(i) state the relationship between the values of (a) sine (b) cosine and (c) tangent Of an angle in quadrant 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 and 3600

(xi) find the angles between 00 to 3600,given the values of sines, cosines or tangent(xii) solve problems involving sine, cosine and tangent.

(i) draw the graphs of sines, cosine and tangent for angle between,(ii) compare the graphs of sine, cosine and tangent for angle between 00 and 3600



(iii) solve problem involving graphs of sine, cosine and tangent

26 25 jun – 29 jun 10. ANGLE OF ELEVATION AND DEPRESSION10.1 Understand and use the concept of angle of elevation and 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 the diagram(iii) solve problems involving the angle of elevation and angle of depressions.

(i) identify planes(ii) identify horizontal planes, vertical planes and inclined planes(iii) Sektch a three dimensional shape and identify the specific planes(iv) identify (a) line that lies on a plane (b) lines that intersect with a plane(v) identify normals to a given planes(vi) determine the orthogonal projection of a line on a plane(vii) draw and name the orthogonal projection of a line on a plane(viii) determine the angle between a line and a plane(ix) solve problems involving the angle between a line and a plane.



27 2 julai – 6 julai ULANGKAJI

28 9 julai – 13 julai ULANGKAJI

29 16 julai – 20 julai

ULANGKAJI Pra PMR

30 23 julai – 27 julai

ULANGKAJI Percubaan PMR dan Percubaan SPM

31 30 julai – 3 ogos ULANGKAJI Percubaan SPM

32 6 ogos – 10 ogos ULANGKAJI Percubaan SPM

33 13 ogos – 17 ogos

UJIAN 2

34 20 Ogos – 24 ogos

CUTI PERTENGAHAN PENGGAL

35 27 ogos – 31 ogos

ULANGKAJI

36 3 sept – 7 sept PEPERIKSAAN AKHIR TAHUN TINGKATAN 437 10 Sept – 14

septPEPERIKSAAN AKHIR TAHUN

38 17 sept – 21 sept

PERBINCANGAN PEPERIKSAAN AKHIR TAHUN

39 24 sept – 29 sept

PERBINCANGAN PEPERIKSAAN AKHIR TAHUN

40 1 okt – 5 okt PERSEDIAAN LATIHAN DAN KERJA CUTI AKHIR TAHUN PMR 201241 8 okt – 12 okt PERSEDIAAN LATIHAN DAN KERJA CUTI AKHIR TAHUN PMR 201242 15 okt – 19 okt PERSEDIAAN LATIHAN DAN KERJA CUTI AKHIR TAHUN



43 22 okt – 26 okt PERSEDIAAN LATIHAN DAN KERJA CUTI AKHIR TAHUN44 29 okt – 2 nov PERSEDIAAN LATIHAN DAN KERJA CUTI AKHIR TAHUN45 5 nov – 9nov PERSEDIAAN LATIHAN DAN KERJA CUTI AKHIR TAHUN

xa.yimg.comxa.yimg.com/.../24779538/1777070780/name/yearly+less… · Web viewSMK SERI KUNDANG, 48020 RAWANG, SELANGOR. YEARLY LESSON PLAN. ... Form a compound statement by combining

Documents