RPT MMF4

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

SMK LEMBAH BIDONG,21010 SETIU, TERENGGANU. YEARLY LESSON PLAN YEAR 2013 SUBJECT:MATHEMATICS FORM :4 WEEK/DATE

TOPICS & LEARNING OBJECTIVES

LEARNING OUTCOMES

WEEK 1 (1-3 Jan 2013)

CHAPTER 1 STANDARD FORM

At the end of the lesson, student should be able to:

1.1Understand and use the concept of significant figure (by rounding off numbers and computation of numbers Involving significant figure (s.f)

1.2Understand and use the concept of standard form to solve problems. a)Convert numbers in standard form b)Computation of numbers in standard form

WEEK 2 (6-10 Jan 2013

1. Round off positive numbers to a given number of significant.

2. Perform computation of addition, subtraction, multiplication and division.

3. State the answer in specific s.f.

4. Solve problem involving s.f At the end of the lesson, student should be able to: 1. State positive numbers in standard form.

2. Convert numbers in standard form to a single number.

3. Perform operations of addition, subtraction, multiplication and division involving any numbers and state the answers in standard form.

4. Solve problem involving numbers in standard form.

CHAPTER 2 QUADRATIC EXPRESSIONS AND EQUATIONS 2.1 Understand the concept of quadratic expression.

2.2 Factorise Quadratic Expressions of the certain form.

At the end of the lesson,student should be able to: 1. Identify quadratic exspressions.

2. Form quadratic expressions by multiplying any two linear expressions.

3. Form quadratic expression.

At the end of the lesson, student should be able to: 1. Factorise quadratic expressions of the form ax2 + bx+c.

2. Factorise quadratic expressions of the form px2 -q,p and q are perfect squares.

3. Factorisequadratic expressions

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

containing coefficients with common factors.

WEEK 3 (13-17Jan 2013)

2.3 Understand the concept of quadratic equation.

At the end of the lesson, student should be able to: 1. Identify quadratic equations with one unknown.

2. Write quadratic equations in general form.i.e ax2 + bx +c =0 3. Form quadratic equations based on specific situations.

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

At the end of the lesson,student should be able to: 1. Determine whether a given value is a root of specific quadratic equation.

2. Determine the solutions for quadratic equations by trial and error method and factorisation.

3. Solve problems involving quadratic equations.

Sunday-Thursday

14 Jan 2013 ( RE-ORIENTASI PELAJAR TINGKATAN 4) CHAPTER 3 SETS 3.1 Understand the concept of set.

WEEK 4 (20-23 Jan 2013) Sunday-Wednesday

3.2 Understand and use the concept of subset,universal set and the complement of a set.

At the end of the lesson,student should be able to: 1. Sort given objects into group.

2. Define sets 3. Identify whether a given object is an element of a set and use the symbol ∈ or ∉ 4. Represent sets by using Venn diagrams.

5. List the element and state the number of elements of a set.

6. determine whether a set is an empty set.

7. Determine whether two sets are equal.

At the end of the lesson,student should be able to: 1. Determine whether a given set is a subset of a specific set and use a symbol ⊂ or ⊄ 2. Represent subset using Venn diagram.

3. List the subsets for specific set.

4. Illustrate the relationship between set and the universal set using Venn diagram.

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

5. Determine the complement the given set.

6. Determine the relationship between set, subset, universal set and the complement of a set 3.3 Perform operations on sets: * the intersaction of sets * the union of sets.

At the end of the lesson,student should be able to: 1. Determine the intersec tion of two sets, three sets and use the symbol ∩, 2. Represent the intersection of sets using Venn diagram.

3. State the relationship between a)A ∩ B and A b) A ∩ B and B

24 Jan 2013- CUTI MAULIDUR RASUL WEEK 5 (27-31Jan 2013)

4. Determine the complement of the intersection of sets.

5. Solve problems involving the intersection of sets.

6. Det ermine the union of two sets,three sets and use the symbol ∪ 7. Represent the union of sets using Venn diagram.

8. State the relationship between a) A ∪ B and A

b) b) A ∪ B and B 9. determine the complement of union of sets.

10. Solve problems involving the union of sets.

11. Determine the outcome of combine d operations on sets.

12. Solve problems involving combined operations on sets.

WEEK 6 (3 -7 Feb 2013)

REVISION FOR TOV TEST & TOV TEST

WEEK 7 (10-14 Feb 2013)

CUTI TAHUN BARU CINA 10-11 Feb 2013 DISCUSSION OF TOV TEST PAPER CHAPTER 4 MATHEMATICAL REASONING. 4.1Understand the concept of

At the end of the lesson, student should be able to: 1. Determine whether a given

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

statement.

WEEK 8 (17-21 FEB 2013)

sentence is a statement.

2. determine whether a given statement is true or false.

3. construct true or false using statement using given numbers and mathematical symbols.

4.2 understand the concept of quantifiers “all” and “some”

At the end of the lesson, student should be able to: 1. construct statement using the quantifier all and some.

2. determine whether a statement that contains the quantifier “all” is true or false.

3. determine whether a statement can be generalized to cover all cases by using the quantifier “all” 4. construct a true statement using quantifier “all” or “some” ,given an object and a property.

4.3 Perform operations involving the words “not” or “no” and “and” or “or” on statements.

At the end of the lesson, student should be able to: 1. change the truth value of a given statement by placing the word “not” into the original statement.

2. Identify two statements from a compound statement that contains the word “and”.

3. form a compound by combining two given statements using the word “and” 4. identify two statement from a compound statement that contains the word “or”.

5. Form a compound statement by combining two given statement using the word “or” 6. determine the truth value of the compound statement which is the combination of two statements in the word “and” 7. determine the truth of a compound statement which the combination of two statement with the word “or”

4.4 understand the concept of implication.

At the end of the lesson, student should be able to: 1. identify the antecedent and consequent of an implication “if p, then q”.

2. Write two implication from a compound statement containing “if and only if” 3. Construct mathematical statements in the form of

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

implication a 4. Determine the converse of a given implication.

5. determine whether the converse of an implication is true or false..

WEEK 9 (24-28 Feb 2013)

WEEK 10 (3-7 March 2013)

.

4.5 Understand and use the concept of deduction and induction to solve problem.

At the end of the lesson, student should be able to: 1. identify the premise and conclusion of a given simple argument.

2. Make a conclusion based on two given premises.

3. complete an argument given a premise and the conclusion.

4.6 understand the concept of argument.

At the end of the lesson, student should be able to: 1. determine whether a conclusion is made through a)reasoning by deduction b) by induction.

2. make a conclusion for a specific case based on a given general statement by deduction and induction.

CHAPTER 5 STRAIGHT LINE

At the end of the lesson, student should be able to:

5.1Understand the concept of gradient of a straight line.

1. determine the vertical and horizontal distances between two given points on a straight line.

2. determine the ratio of vertical distance to horizontal distance.

5.2 Understand the concept of gradient of a straight line on Cartesian coordinates.

At the end of the lesson, student should be able to: 1. derive formula for the gradient of a straight line.

2. calculate the gradient of a straight line passing through two points.

3. determine the relationship between the value of the gradient and a)the steepness b)direction of the inclination of a straight line.

5.3 understand the concept of intercept.

.At the end of the lesson, student should be able to: 1. determine the x-intercept and the y-intercept of a straight line.

2. Derive the formula for the gradient of the straight line in terms of the x-intercept and the y-intercept.

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

3. perform calculations involving gradient,x-intercept and yintercept.

4 MAC 2013 CUTI ULANGTAHUN PERTABALAN DYMM SULTAN TRG WEEK 11 (10-14 March 2013)

5.4 Understand and use equation of a straight line.

At the end of the lesson, student should be able to: 1. draw the graph given an equation of the form y = mx + c 2. determine whether a given point lies on a specific straight line.

3. write the equation of the straight line given the gradient of the yintercept.

4. Determine the gradient and yintercept of the straight line which equation is of the form: a) y- mx + c b) ax + by = c 5. find the equation of the straight line which : 6. Find the equation of the straight line which: a) is parallel to x-axis and yaxis. b) Passes through to a given point and has a specific gradient. c) Passes through two given points.

7. find the point of intersection of two straight lines by : a) drawing the two straight lines b) solving simultaneous equations.

WEEK 12 (17-21 March 2013)

5.5 understand and use the concept of parallel lines.

At the end of the lesson, student should be able to: 1. verify that two parallel lines have the same gradient and vice versa.

2. determine from the given equations whether two straight lines are parallel.

3. find the equation of the straight line which passes through a given point and is parallel to another straight line.

4. solve problem involving equations of straight lines.

CHAPTER 6 STATISTICS

At the end of the lesson, student should be able to:

6.1 Understand the concept of class

1. complete the class interval for a

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

interval

set of data.

2. determine the upper limit and the lower limit of a class in a grouped data.

3. calculate the size of a class interval.

4. determine the class interval given a set of data and the number of classes.

5. determine a suitable class interval for a given set of data.

6. construct a frequency table for a given set of data.

7. construct a frequency table for a given set of data.

MID-SEMESTER SCHOLL BREAK 24-28 Mac 2013 WEEK13 (31 Mac-4 April 2013)

WEEK 14 (7-11 Apr 2013)

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

At the end of the lesson, student should be able to: 1. determine the modal class from the frequency table of grouped data.

2. calculate the midpoint of a class.

3. Verify the formula for the mean of the grouped data.

4. Calculate the mean from the frequency table of grouped data.

5. discuss the effect of the size of class interval on the accuracy of the class interval.

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

At the end of the lesson, student should be able to: 1. Draw a histogram based on the frequency table of a grouped data.

2. interpret information from a given histogram 3. solve problems involving histogram.

6.4 Represent and interpret data in frequency polygons to solve problems.

At the end of the lesson, student should be able to: 1. draw the frequency polygon based on a histogram and a frequency polygon.

2. interpret information from a given frequency polygon.

3. Solve problems involving frequency polygon.

6.5 Understand the concept of cumulative frequency

At the end of the lesson, student should be able to: 1. construct the cumulative frequency

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

table for ungrouped and grouped data.

2. draw the ogive for ungrouped and grouped data.

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

At the end of the lesson, student should be able to: 1. determine the range of a set of data.

2. determine the median, first median third quartile and interquartile range from the ogive.

3. Interpret information from an ogive.

4. solve problems involving data representations and measures of dispersions.

WEEK 15 ( 14-18 April 2013)

CHAPTER 7 PROBABILITY 1 7.1 Understand the concept of sample space

At the end of the lesson, student should be able to: 1. determine whether an outcome is a possible outcome of an experiment 2. list all the possible outcomes of an experiment:a)from activities b)by reasoning.

3. determine the sample space of an experiment.

4. write the sample space by using set notations.

At the end of the lesson, student should be able to: 1. identify the elements of a sample space which satisfy certain conditions.

2. list all the elements of a sample space which satisfy certain conditions using set notations.

3. determine whether an event is possible for sample space.

7.2 Understand the concept of events .

At the end of the lesson, student should be able to: 1. find the ratio of the number of times an event occurs to the number of trials.

2. Calculate the expected number of times an event occur,given the probability of the event and number of trials.

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

WEEK 16 (21-25 Apr 2013)

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

CHAPTER 8 CIRCLES III 8.1 Understand and use the concept of tangents to a circle.

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

WEEK 17 (28 Apr-2 Mei 2013)

8.3 Understand and use the properties of common tangents to solve problems

3. Solve problems involving probability 4. predict the occurrence of an outcome and make a decision based on known information.

At the end of the lesson, student should be able to: 1. identify tangents to a circle.

2. make inference that tangent to circle is a straight line perpendicular to the radius that passes through the contact point.

3. construct the tangent to a circle passing through a point: a) on the circumference of the circle b) outside of the circle.

4. determine the properties related to two tangent to a circle from a given point outside the circle.

5. Solve problem involving tangents to a circle.

At the end of the lesson, student should be able to: 1. identify the angle in the alternate segment which is subtended by chord through the contact point of the tangent 2. verify the relationship of between the angle formed by the tangent and the chord with the angle in the alternate segment which is subtended by the chord 3. perform calculation calculations involving the angle in alternate segment 4. Solve problems involving tangent to a circle and angle in alternate segment.

At the end of the lesson, student should be able to: 1. 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.

2. 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.

3. solve problems involving common

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

tangent to two circles.

4. solve problems involving tangents and common tangents.

(REVISION FOR OTI 1) PUBLIC HOLIDAY (1st may-Labour Day) WEEK 18 (5-7 MAY 2013)

REVISION FOR OTI 1 EXAM

(8 MAY 2013 )

OTI 1 EXAMc

WEEK 19 ( 12-16 may 2013) WEEK 20 (19-23 mei 2013 )

OTI 1 EXAMINATION OTI 1 EXAMINATION FIRST SEMESTER –SCHOOL BREAK (24 MEI – 8 JUN 2013)

WEEK 21 (9 -13 JUN 2013)

DISCUSSION OF OTI 1 PAPER CHAPTER 9 TRIGONOMETRY II 9.1 Understand and use the concept of the values of sine, cosine and tangent .

At the end of the lesson, student should be able to: 1. identify the quadrants and angles in the unit circle.

2.Determine: a) the value of y-coordinate b) the value of x-coordinate c) the ratio of y-coordinate to xcoordinate.

Of several points on the circumference of the unit circle.

3.Verify that,for an angle in Quadrant I of the unit circle: a) sin θ = y-coordinate b) ,cos θ = x-coordinate c) Tan θ =

WEEK 22 (16-20 JUN 2013)

y − coordinate x − coordinate

4. determine the values of : a) sine, b) cosine, c)tangent of an angle in quadrant I of the unit circle.

5. Determine the values of sine,cosine and tangent of an angle in a specific quadrant is positive or negative.

6.determine the values of sine,cosine and tangent for special angles.

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

7.determine the values of the angles in quadrant I which correspond to the values of the angles in other quadrants.

8.State the relationships between the values of sine,cosine and tangent of angles in quadrant I,II,III and IV with their respective values of corresponding angle in quadrant I. 9. Find the values : a) of sine,cosine and tangent of the angles between 90˚ and 360˚ b) between 0˚ and 360˚,given the values of sine,cosine and tangent.

10.Solve problems involving sine,cosine and tangent.

WEEK 23 (23-27 JUN 2013)

9.2 Draw and use the graphs of sine,cosine and tangent.

WEEK 24 (30 JUN-4 JULY 2013)

CHAPTER 10 ANGLES OF ELEVATIONS AND DEPRESSIONS 10.1 Understand and use the concept of angle of depression to solve problems

WEEK 25 (7-11 JULY 2013)

At the end of the lesson,student should be able to: 1. draw the graphs of sine,cosine and tangent for angles between 0˚ and 360˚.

2. compare the graphs of sine,cosine and tangent for angles between 0˚ and 360˚.

3. solve problems involving graphs of sine,cosine and tangent.

At the end of the lesson, student should be able to: 1. identify: a) the horizontal line. b) the angle of elevation. c) the angle of depression for a particular situation.

2.Represent a particular situation involving: a) the angle of elevation b) the agle of depression using diagram.

3. Solve problems involving the angle of elevation and the angle depression.

CHAPTER 11 LINES AND PLANES IN 3DIMENSIONS. 11.1 Understand and use the concept of angle of depression to solve problems.

At the end of the lesson, student should be able to: 1. identify planes 2. identify horizontal planes,vertical

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

planes and inclined planes.

3..sketch a three dimensional shape and identify the specific planes.

4.Identify: a) lines that lines on a plane b)lines that intersect with a plane.

5. identify a normals to a given plane.

6.determine the orthogonal projection of a line on plane.

7.draw and name the orthogonal projection of a line on a plane.

8.determine the angle between a line and a plane.

8.Solve problems involving the angle between a line and a plane.

WEEK 26 (14-18 JULY 2013)

WEEK 27 (21-25JULY 2013) WEEK 28 (28 JUL – 01 AUG 2013)

11.2 Understand and use the concept of angle between two planes to solve problems.

At the end of the lesson, student should be able to: 1.Identify the line of intersection between two planes.

2.draw a line on each plane which is perpendicular to the line of intersection of the two planes on a modal and a given diagram.

3.solve problems involving lines and planes in 3-dimensional shapes.

REVISION FOR OTI 2 EXAMINATION REVISION FOR OTI 2 EXAMINATION REVISION FOR OTI 2 EXAMINATION

WEEK 29 (04-5 AUG 2013) 2ND SEMSTER SCHOOL BREAK. (6 OGOS -17 AUG 2013) HARI RAYA PUASA WEEK 32 (18-22 AUG 2013 ) WEEK 33 (25-29 AUG 2013) WEEK 34 (1-5 SEPT 2013) WEEK 35 (8-12 SEPT 2013) WEEK 36 (15-19 SEPT 2013) WEEK 37 (22-26 SEPT 2013) WEEK 38 (29 SEPT-3 OKT 2013)

MAJLIS SAMBUTAN HARI RAYA PUASA & REVISION REVISION FINAL EXAMINATION FINAL EXAMINATION FINAL EXAMINATION FINAL EXAMINATION 16 SEPT 2013CUTI HARI MALAYSIA FINAL EXAMINATION FINAL EXAMINATION

YEARLY LESSON PLAN-2013 PREPARED BY:NAR

WEEK 39 (6-10 OKT 2013) WEEK 40 (13-17 0KT 2013)

FINAL EXAMINATION FINAL EXAMINATION 15 OKT 2013-HARI RAYA QURBAN

WEEK 41 (20-24 OKT 2013)

FINAL EXAMINATION

WEEK 42 (27-31 OKT 2013) WEEK 43 (3-7 NOV 2013)

INRODUCTION OF FORM FIVE CHAPTER

WEEK 44 (10-14 NOV 2013)

INRODUCTION OF FORM FIVE CHAPTER

INRODUCTION OF FORM FIVE CHAPTER

FINAL YEAR SCHOOL BREAK (15 NOV-31 DIS 2013)