Ylp Maths f4

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


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


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


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


drawing diagrams


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


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


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


Making inferences


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


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


Drawing diagrams


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


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


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)


interpreting


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


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



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


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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Ylp Maths f4