Ylp maths form 5 2016

YEARLY LESSON PLAN

2016

MATHEMATICS

FORM 5

Prepared by:

…………………………………….... Tr. MUHAMMAD HAFIDZ BIN MUKHTAR

Subject Teacher

Verified by:

……………………………….. Tr. SUPAIDIN BIN PAIMAN

VP Academics

JANUARY 2016

WEEK CHAPTER OBJECTIVES ACTIVITIES TEACHING AID REMARKS

1 1st – 3rd Jan

NEW YEAR’S DAY

2 4th – 10th Jan

4th & 5th Jan Orientation Day

6th Jan Co-Cu Registration Day

7th Jan SmartStudy Workshop

8th & 9th Jan Leadership Training

3 11th – 17th Jan

CHAPTER 1 NUMBER BASES 1.1 Numbers in base two, base eight and base five

1 (a) Define zero, one, two… as number in base two, eight and five. (b) Define the value of a digit in number in base two, eight and five. (c) Writing a number in expanded notation (d) Converting a number in base two, eight and five to a number in base ten and vice versa 2 Converting a number in a certain base to a number in another base 3 Addition and subtraction two numbers in base two.

1 Discussion: (a) The concept of base number 2 Emphasize: (a) The readings of a certain base number 3 Learn how to convert (limited only to base two, eight and five only).

Number Base Kit Charts Scientific Calculator

15th & 16th Jan Ibadah Camp Phase I

4 18th – 24th Jan

CHAPTER 4 MATRICES 4.1 Matrices 4.2 Equal matrices 4.3 Addition and Subtraction of matrices

1 (a) Able to form a matrix from given information (b) Able to determine : (i) the number of rows (ii) the number of columns (iii) the order of a matrix. (c) Able to identify a specific element in a matrix. 2 (a) Able to determine whether two matrices are equal. (b) Able to solve problems involving equal matrices. 3 (a) Able to determine whether the addition or subtraction can be performed on two given matrices (b) Able to find the sum or the difference of two matrices. (c) Able to perform addition and subtraction on several matrices.

1. Discussion

- Concept of row and column in matrices

2. Explanation

- Addition and substraction of matrices

3. Emphasize

- Formula of addition and substraction of matrices

- Revision Books - Scientific Calculator

4.4 Multiplication of a matrix by a number

(d) Able to solve matrix equations involving addition and subtraction 4 (a) Able to multiply a matrix by number (b) Expressing a given matrix as multiplication of a matrix by a number. (c) Able to perform calculation on matrices involving addition, subtraction and scalar multiplication. (d) Solving matrix equations

1. Discussion

- Concept of multiplication in matrices

2. Explanation

- The matrices that can be multiplied and the matrices that cannot be multiplied

3. Emphasize

- Formula of multiplication of matrices

5 25th – 31st Jan

4.5 Multiplication of two matrices

5 (a) Able to determine whether two matrices can be multiplied and to state the order of the product when the two matrices can be multiplied. (b) Able to find the product of two matrices (c) Able to solve matrix equations involving multiplication of two matrices

1. Explanation

- The matrices that can be multiplied and the matrices that cannot be multiplied

2. Emphasize

- Formula of multiplication of matrices


4.6 Identity Matrix 4.7 Inverse matrix 4.8 Writing simultaneous linear equations in matrix form

6 (a) Able to determine whether a given matrix is an identity matrix by multiplying it to another matrix. (b) Able to write identity matrix of any order and perform calculation involving identity matrices 7 (a) Able to determine whether a 2 x 2 matrix is the inverse matrix of another 2 x 2 matrix. (b) Able to find the inverse matrix of a 2 x 2 matrix by using (i) method of solving simultaneous linear equations. 8 (a) Able to write simultaneous linear equations in matrix form. (b) Able to solve simultaneous linear equations by using matrix method. (c) Solving problems using matrices

1. Discussion

- Concept of identity matrix and the type of identity matrix

2. Explanation

- The matrices that can be inversed and the matrices that cannot be inversed

3. Emphasize

- Formula of simultaneous linear equations in matrix form

30th Jan AKU JANJI CEREMONY

FERBUARY 2016


6 1st – 7th Feb

CHAPTER 5 VARIATIONS 5.1 Direct Variations 5.2 Inverse Variations

1 (a) State the changes in a quantity with respect to changes in another quantity, in everyday life (b) Determine from given information whether a quantity varies directly as another quantity (c) Express direct variation in the form of equation involving two variables. (d) Find the value of a variable in a direct variation when sufficient information is given. 2 (a) State the changes in a quantity with respect to another quantity, in everyday life situations, involving inverse variation. (b) Determine from given information whether a quantity varies inversely as another quantity.

1. Discussion

- Concept of Variations

2. Explanation

- The changes in any quantity with respect to another quantity

3. Emphasize

- Formula of Variations, Direct and Inverse

subtopics

problem solving method

solutions and difficult questions


(c) Express an inverse variation in the form of equation involving two variables. (d) Find the value of a variable in an inverse variation when sufficient information is given. (e) Able to solve problems involving inverse variation

7 8th – 14th Feb

8th & 9th Feb CHINESE NEW YEAR

5.3 Joint Variation

2 (a) State the changes in a quantity with respect to another quantity, in everyday life situations, involving joint variation. (b) Determine from given information whether a quantity varies directly and inversely as another quantity. (c) Express a direct and an inverse variation in the form of equation involving three variables.

subtopics




(d) Find the value of a variable in the joint variation when sufficient information is given. (e) Able to solve problems involving joint variation

13th Feb PIBG AGM

8 15th – 21st Feb

CHAPTER 8 BEARING 8.1 Bearing

1 (a) Draw and label the eight main compass directions. (b) State the compass angle of any compass direction. (c) Draw a diagram which shows the direction of B relative to A given the bearing of B from A. (d) State the bearing of point A from point B based on the given information. (e) Solve problems involving bearing

1. Discussion

- Concept of Bearing

2. Explanation

- The angle of bearing starting from the North point

3. Emphasize

- Calculation of bearing and the usage of Z-formation, F-formation and U-formation in solving the problems involving Bearing


20th Feb Extra Class

9 22nd – 28th Jan

CHAPTER 9 EARTH AS A SPHERE 9.1 Longitude 9.2 Latitude

1 (a) Sketch a great circle through the north and south poles. (b) State the longitude of a given point. (c) Sketch and label a meridian with the longitude given. (d) Find the difference between two longitudes. 2 (a) Sketch a circle parallel to the equator. (b) State the latitude of a given point. (c) Sketch and label a given parallel of latitude. (d) Find the difference between two latitudes.

1. Discussion

- Concept of Longitude and Latitude

2. Explanation

- The label of Longitude, Meridian, Great Circle, Latitude, and Equator

3. Emphasize

- The calculation of Long. and Lat.


27th Feb Extra Class

10

29th Feb TEST 1

MARCH 2016


10 1st – 6th Mar

TEST 1

11 7th – 13th Mar

TEST 1

12 14th – 20th Mar

1st TERM BREAK

13 21st – 27th Mar

9.3 Location of a place

3 (a) State the latitude and longitude of a given place. (b) Mark the location of a place. (c) Sketch and label the latitude and longitude of a given place.

subtopics




SPORTS TRAINING WEEK

26th Mac

Cross Country

14 28th – 31st Mac

9.4 Distance on the surface of the earth

4 (a) Find the length of an arc of a great circle in nautical mile, given the subtended angle at the center of the earth and vice versa. (b) Find the distance between two points measured along a meridian, given the latitude of both points.

subtopics





APRIL 2016


14 1st – 3rd Apr

9.4 Distance on the surface of the earth

(c) Find the latitude of a point given the latitude of another point and the distance between the two points along the same meridian. (d) Find the distance between two points measured along the equator, given the longitudes of both points. (e) Find the longitude of a point given the longitude of another point, and the distance between the two points along the equator. (f) State the relation between the radius of the earth and the radius of a parallel of latitude.

the subtopics





2nd Apr ANNUAL SPORTS DAY

15 4th – 10th Apr

CHAPTER 2 GRAPHS OF FUNCTIONS (II) 2.1 Graphs of functions

1 (a) Draw the graphs of a linear functions, a quadratic function, a cubic function, a reciprocal functions.

the subtopics



(b) Findings values of variables from a graph (i) the value of y, given a value of x (ii) the value of x, given a value of y (c) Identifying the shape of a graph from a given function.


9th Apr Extra Class

16 11th – 17th Apr

2.2 The solution of an equation by graphical method

2.3 Region representing inequalities in two variables

2 (a) Sketching the graph of function (b) Finding the solutions of an equation by using the following steps (i) Determine two graphs that need to be drawn (ii) Draw both of the graphs (iii) Determine the intersection points (c) Understand the intersection points of two graphs as the solution of the equations. (d) Solving problem by graphical method 3 (a) Determine whether a given point satisfies y = ax + b, y > ax + b or y< ax + b

the subtopics




(b) Determine the position of a given point relative to the line y = ax + b (c) Determine the region representing the inequalities. (d) Determining the region which satisfies two or more simultaneous linear inequalities.

16th Apr Extra Class

17 18th – 24th Apr

CHAPTER 3 TRANSFORMATIONS III 3.1 Concept of combination of two transformations

1 (a) Determine the image of an object under combination of two isometric transformation (b) Determine the image of an object under combination of : (i) two enlargements, (ii) an enlargement and an isometric transformation (c) Able to draw the image of an object under combination of two transformations. (d) Able to state the coordinates of the image of a point under combined transformations.

the subtopics




(e) Able to determine whether the combined transformation AB is equivalent to the combined transformation BA. (f) Able to specify the two successive transformations in a combined transformation when the object and the image are given. (g) Able to specify a transformation which is equivalent to the combination of two isometric transformations. (h) Able to solve problems involving transformations

23rd Apr Extra Class

18 25th Apr – 1st May

Revision of Previous Year Exam Papers- Chapter: Graph and Functions II

To familiarize students with the SPM type questions

Question, Discussion and Answering Session

MRSM, SBP and State Papers

30th Apr AEA & Graduation Ceremony

MAY 2016


19 2nd – 8th May

Revision of Previous Year Exam Papers- Chapter: Transformations III




7th May Extra Class

20 9th – 15th May

Revision of Previous Year Exam Papers- Chapter: Trigonometry III




12th – 13th May MIDTERM EXAMINATION

14th May Extra Class

21 16th – 22nd May

MIDTERM EXAMINATION

21st May Wesak Day

22 23rd – 29th May

23rd – 25th May MIDTERM EXAMINATION

Discussion of the examination papers

To discuss the examination answer script


27th May TEACHERS ‘ DAY CELEBRATION

28th – 30th May MOTIVATIONAL CAMP & JAMBOREE

23 30th – 31st May

31st May – 12th

June

MID YEAR BREAK

JUNE 2016


23 1st – 5th June

31st May – 12th

June

MID YEAR BREAK

24 6th – 12th June

31st May – 12th

June

MID YEAR BREAK


13th June MPP Installation CHAPTER 6 GRADIENT AND AREA UNDER A GRAPH 6.1 The quantity represented by the gradient of a graph. 6.2 The area under a graph

1 (a) State the quantity represented by the gradient of a graph (b) Draw the distance - time graph given: (i) a table of distance - time values (ii) a relationship between distance and time (c) Find and interpret the gradient of distance - time graph. (d) Find the speed for a period of time from distance-time graph. (e) Draw a graph to show the relationship between

subtopics




two variables representing certain measurements and state the meaning of its gradient. 2 (a) State the quantity represented by the area under a graph (b) Find the area under a graph (c) Determine the distance by finding the area under the following type of speed – time graphs; (d) Solving problems involving gradient and area under a graph.

18th June Extra Class


CHAPTER 7 PROBABILITY II 7.1 The probability of an event 7.2 The probability for the complement of an event

1 (a) Determine the sample space of an experiment with equally likely outcomes. (b) Determine the probability of an event with equation of probable sample space. (c) Solve problems involving probability of an event.

subtopics




2 (a) State the complement of an event in words and set notation. (b) Find the probability of the complement of an event

21st June Ibadah Camp Phase 2

22nd June Nuzul Al-Quran

24th June Result Collection Day

25th June Extra Class

27 27th Jun – 30th Jun

7.3 The probability of the combined event

3 (a) List the outcomes for the events: (i) A or B elements of the set (ii) A and B as elements of the set (b) Find the probability by listing the outcomes of combined events (i) A or B (ii) A and B (c) Solve problems involving probability of combined event.

subtopics




1st July Musabaqah Al-Qur’an

2nd July Extra Class

JULY 2016


27 1st – 3rd July

1st July Musabaqah Al-Qur’an

2nd July Extra Class

28 4th – 10th July

CHAPTER 10 PLANS AND ELEVATIONS 10.1 Orthogonal projection

1 (a) Identify orthogonal projection (b) Draw the orthogonal projection, given an object and a plane. (c) Determine the difference between an object and its orthogonal projection with respect to edges and angles.

subtopics ssion on the




6th – 7th July HARI RAYA PUASA


10.2 Plan and Elevation

2 (a) Draw the plan of a solid object. (b) Draw front elevation and side elevation of solid object. (c) Draw: (i) the plan, (ii) the front elevation, (iii)the side elevation, of a solid object to a scale.

subtopics




(d) Solve problems involving plan and elevation.

16th July Extra Class


Revision of Previous Year Exam Papers- Chapter: Circles III




23rd July Extra Class

31 25th – 31st July

Revision of Previous Year Exam Papers- Chapter: Trigonometry III




29th July HARI RAYA GATHERING

30th July TEEN CALIPH CARNIVAL

AUGUST 2016


32 1st – 7th Aug

Revision of Previous Year Exam Papers- Chapter: Sets




6th Aug Extra Class

33 8th – 14th Aug

Revision of Previous Year Exam Papers- Chapter: Straight Line




13th Aug Extra Class

34 15th - 21st Aug

15th – 19th Aug

TEST 2, TRIAL PT3 & TRIAL SPM


35 22nd – 28th Aug

22nd – 26th Aug

TEST 2, TRIAL PT3 & TRIAL SPM


36 29th – 31st Aug

Revision of Previous Year Exam Papers- Chapter: Mathematical Reasoning




30th Aug Merdeka Celebration

31st Aug NATIONAL DAY

SEPTEMBER 2016


36 1st – 4th Sept

Revision of Previous Year Exam Papers- Chapter: Lines and Planes in 3-Dimensions




3rd Sept Extra Class

2nd – 4th Sept Leadership Training

37 5th – 11th Sept

Revision of Previous Year Exam Papers- Chapter: Angle of Elevation and Depression




Extra Class


2nd TERM BREAK

12 & 13 Sept Hari Raya Aidiladha

16th Sept Hari Malaysia


Revision of Previous Year Exam Papers-




23rd Sept PT3 & SPM TRIAL RESULT COLLECTION DAY

24th Sept Extra Class

40 26th Sept – 2nd Oct





2nd Oct Awal Muharram

OCTOBER 2016


41 3rd – 9th Oct





8th Oct Extra Class

42 10th – 16th Oct





15th Oct Extra Class

43 17th – 23rd Oct





22nd Oct Extra Class

44 24th – 30th Oct

24th – 28th Oct

FINAL EXAMINATION

29th Oct DEEPAVALI

45 31st Oct

31st Oct

FINAL EXAMINATION

NOVEMBER 2016


45 1st – 6th Nov

1st – 5th Nov

FINAL EXAMINATION

46 7th – 13th Nov





47 14th – 20th Nov





19th Nov OPEN DAY

48 21st – 27th Nov





23rd – 24th Nov PBS DAY

25th Nov RESULT COLLECTION DAY

49 28th – 30th Nov

SCHOOL HOLIDAYS

DECEMBER 2016


49 1st – 4th Dec

SCHOOL HOLIDAYS

50 5th – 11th Dec

51 12th – 18th Dec

52 19th – 25th Dec

53 26th – 31st Dec

Education

Ylp maths form 5 2016