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SMK LUTONG
SMK LUTONG SEKOLAH KLUSTER KECEMERLANGANYEARLY TEACHING PLAN 2014MATHEMATICS FORM 4
Week/
DateLearning
AreaLearning ObjectivesLearning OutcomesCCTSRemarks
122/1Chapter 1: Standard Form1.1 Understand and use the concept of significant figure
Students will be able to:
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 figure contextual
working out mentally
finding all possible solutions
identifying relations
1.2 Understand
and use the concept of standard form to solve problem
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 working out mentally
identifying relations
314/1
Chapter 2: Quadratic Expressions and Equations2.1 Understand the concept of Quadratic Expression2.2 Factorization quadratic expression
i. Identify quadratic expressions
ii. Form quadratic expressions by multiplying any two linear expressions
iii. Form quadratic expressions based on specific situationsi Factorise quadratic expressions of the form ax2+bx+c=0, where b= 0 or c= 0
ii Factorise quadratic expressions of the form px2 q, p and q are the perfect squares classifying
arranging sequentially
translating
421/1
2.3 Understand the concept of Quadratic Equationiii Factorise quadratic expressions of the form ax2+ bx + c, where a, b and c not equal to zero
iv Factorise quadratic expressions containing coefficients with common factors i. Identify quadratic equations with one unknown
ii. Write quadratic equations in general form i.e.
ax2 + bx + c = 0
iii. Form quadratic equations based on specific situations arranging sequentially
arranging sequentially
classifying
translating
528/12.4 Understand the concept of Roots of quadratic equationsi. 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) factorization
iii. solve problems involving quadratic equation comparing & differentiating
finding all possible solutions
6 4/2Chapter 3: Sets3.1 Understand the concept of Seti. sort given objects into groups
ii. define sets by
a) descriptions
b) using set notationiii identify whether a given object is an element of a set
and use the symbol or
iv. represent sets 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
making generalizations
working out mentally
classifying-comparing and differentiating
7
9/2-17/2/13 CUTI TAHUN BARU CINA
818/2
3.2 Understand and use the concept of Subset, universal set and the complement of a seti. determine whether a given set is a subset of a specific set and use the symbol or .
ii. represent subset by 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 complement of a given set
vi. determine the relationship between set, subset, universal set and the complement of a set
classifying
finding all possible solutions
drawing diagrams
identifying relations
interpreting
910
25/33.3 Perform Operations on seti. 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) and Ab) and Biv. 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) and Ab) and Bix. 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 comparing and differentiating
drawing diagrams
identifying relations
interpreting
translating
making generalization
1111/3Chapter 4: Mathematical Reasoning4.1 Understand the concept of Statementi. 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[PEPERIKSAAN PERTENGAHAN PENGGAL 1] [CUTI PERTENGAHAN PENGGAL PERTAMA] Classifying
Working out mentally
Translating
Interpreting
141/4
4.2 Understand the concept of Quantifiers all and somei. construct statements using quantifier
a) all
b) some
ii. determine whether a statement that contains the quantifier all is true or false
iii. determine whether a statement can be generalized to cover all cases by using the quantifier all
iv. construct a true statement using the quantifier all or some given an object and a property Working out mentally
Identifying relations
4.3 Perform Operations Involving the words not or no statementsi. 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 statement 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 statement which 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 working out mentally
classifying
158/44.4 Understand the concept of Implicationi. identify the antecedent and consequent of an implication if p, then q
ii. write two implications from a compound statement containing if and only if
iii. construct mathematical statements in the form of implication:
a) If p, then qb) p if and only if qiv. determine the converse of a given implication
v. determine whether the converse of an implication is true or false working out mentally
classifying
4.5 Understand the concept of Argumenti. identify the premise 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 Classifying
Making inferences
1615/44.6 Understand and use the concept of Deduction and Inductioni. 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 classifying
making inferences
making generalization
looking for patterns
making analogy
Chapter 5: The Straight Line5.l Understant the concept of gradient of a straight linei. determine the vertical and horizontal distances between two given points on a straight line
ii. determine the ratio of vertical distance to horizontal distance Interpreting
17 22/45.2 Understant the concept of gradient of a straight line in Cartesian coordinatesi. derive the formula for the gradient of a straight line
ii. calculate the gradient of a straight 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 straight line interpreting
classifying
5.3 Understand the concept of intercepti. 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 interpreting
1829/4
5.4Understand and use the concept of Equation of a straight linei. draw the graph given an equation of the form y = mx + cii. determine whether a given point lies on a specific straight line
iii. write the equation of the straight line given the gradient and y-intercept
iv. determine the gradient and y-intercept of the straight line which equation is of the form:
a) y = mx + c
b) ax + by = c
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 the intersection of two straight lines by:
a) drawing the two straight lines
e) solving simultaneous equations drawing diagrams
comparing and differentiating
working out mentally
196/5
5.5 Understand and use the concept of Parallel linei. 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 line which passes through a given point and is parallel to another straight line
iv. solve problems involving equations of straight lines[PEPERIKSAAN PENGGAL 1] comparing and differentiating
2013/5Chapter 6: Statistics6.1 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 an lower limit
b) the upper boundary and lower boundary
of a class in a group data
iii. calculate the size of a class interval working out mentally
classifying
making inferences
iv. determine the class interval, given a set of data and the numbers of classes
v. determine a suitable class interval for a given set of data
i. construct a frequency table for given set of data
2120/5
6.2Understand and use the concept of Mode and mean of grouped datai. 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 grouped data
v. discuss the effect of the size of class interval on the accuracy of the mean for a specific set of grouped data[CUTI PERTENGAHAN TAHUN] Interpreting
Working out mentally
Making inferences
Identifying relations
2410/6
6.3 represent and interpret data in histograms with class intervalsi. draw a histogram based on the frequency table of a grouped data
ii. interpret information from given histogram
iii. solve problems involving histograms drawing diagrams
interpreting
6.4Represent and interpret data in Frequency polygons to solve problemi. 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 polygon drawing diagrams
interpreting
2517/6
6.5 Understand the concept of Cumulative frequencyi. construct the cumulative frequency table for:
a) ungrouped data
b) grouped data
ii. draw the ogive for:
a) ungrouped data
b) grouped data working out mentally
drawing diagrams
6.6Understand and use the concept of Measures of dispersion 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 interpreting
identifying relations
2624/6Chapter 7: Probability I7.1Understand the concept of Sample spacei. 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 by using set notations Finding all possible solutions
7.2 Understand the concept of Eventsi. identify the elements of a sample space which satisfy given conditions
ii. list all the elements of a sample which satisfy certain conditions using set notations
iii determine whether an event is possible for a sample space
Finding all possible solutions
271/7
7.3Understand and use the concept of Probability of an event 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 of trials
iii calculate the expected number of times an event will occur, given the probability of the use event and number of trials
iii. solve problems involving probability
iv. predict the occurrence of an outcome and make a decision based on known informationv. identifying relations
288/7
Chapter 8:
Circles III8.1 Understand and use the concept of Tangents of a circlei. 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 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
Working out mentally
Drawing diagrams
Identifying relations
8.2 Understand and use the properties of Angle between tangent and chordi. 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 in 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
identifying relations
2915/7
8.3 Understand and use the properties of common tangents to solve problemi. 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 tangent[PEPERIKSAAN PERTENGAHAN PENGGAL 2] comparing and differentiating
Finding all possible solutions
Identifying relations
3132
34
35
1/8
Chapter 9:
Trigonometry II9.1 Values of sin , cos and tan .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)
b)
working out mentally
interpreting
identifying relations
c)
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
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 quadrantsix. State the relationships between the values of:
a) sine
b) cosine, and
c) tangent
of angles 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 90 and 360
xi. Find the angles between 0 and 360, given the values of sine, cosine and tangent
xii. Solve problems involving sine, cosine and tangent[CUTI PERTENGAHAN PENGGAL 2]
362/99.2Draw and use Graphs of sine, cosine and tangenti. draw the graphs of sine, cosine and tangent for angles between 0 and 360
ii. compare the graphs of sine, cosine and tangent for angles between 0 and 360
iii. solve problems involving graphs of sine, cosine and tangent drawing diagrams
comparing and differentiating
interpreting
379/9
Chapter 10: Angles of Elevation and Depression10.1Understand and use the concept of Angle of elevation and angle of depressioni. identify:
a) the horizontal line
b) the angle of elevation
c) the angle of depression
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 working out mentally
drawing diagrams
identifying relations
3816/9Chapter 11: Lines and Planes in 3-dimensions11.1Understand and use the concept of Angle between lines and planesi. identify planes
ii. identify horizontal planes, vertical planes and inclined planes
iii. sketch a three dimensional shape and identify the specific planes
iv. identify
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 line on plane
viii. determine the angle between a line and a plane
solve problems involving the angle between a line and a plane Comparing and differentiating
Working out mentally
Identifying relations
39 23/9
11.2Understand and the concept of Angle between two planesi. 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 working out mentally
drawing diagrams
identifying relations
40
1/10NUMBER BASES1. Understand and use the concept of number in base two, eight and five.Student will be able to
i. State zero, one, two, three,, as a number in base :
a) two
b)eight
c)five
ii. State the value of a digit of a number in base :
a) two
b)eight
c)five
iii. Write a number in base :
a) two
b)eight
c)five
in expanded notation.
iv. Convert a number in base:
a) two
b)eight
c)five
(v) Convert a number in a certain base to a number in another base.
(vi) Perform computations involving:
a) additional
b) subtraction
of two numbers in base two.
Analyzing
Problem solving
Making conclusion
working out mentally, find all possible solution, iii)comparing and contrasting
Teaching aids :
GSP
Teaching aids :
CD courseware
Teaching aids :CD courseware
41
7/10
8.0 BEARING
8.1 Understand and use the concept of bearing.i)Draw and label the eight main compass directions:
a)North, South, East, West
b)North-East, North-West, South-East, South-West
ii)State the compass angle of any compass direction.
iii)Draw a diagram of a point which shows the direction of B relative to another point A given the bearing of B from A.
iv)State the bearing of point A from point B based on given information.
v)Solve problems involving bearing.[ULANGKAJI: 14-24/10]
[PEPERIKSAAN AKHIR TAHUN: 25-31/10]Identifying Relations
Drawing Diagrams
Generating Ideas
Translating
Teaching Aids
Computer/Notebook
GSP
Protractor
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