S. Mathematics Schedule for Normal Classes (08 09) Page Shatin Tsung Tsin Secondary School S. Mathematics Schedule (08 09) For Normal Classes New Progress in Junior Mathematics SA & SB Hong Kong Educational Publishing Company ( Second edition ) Number of periods per cycle: 7 Total number of teaching cycles: about 5 cycles 4/9 Classroom Rule. Core Textbook 5/9-4/9 Chapter : Manipulations and Factorization 6. of Polynomials 4.. Index Notation 4 Ex.. (33,46,50,5). Concepts of Polynomials Ex.. (3).3 Addition and Subtraction of Polynomials Ex..3 (4,6b).4 Multiplication of Polynomials Ex..4 (35,40,4) Ex..5 (59,65,68).5 Factorization by Taking Out Common Factors 4 Rev. Ex. (49) and Grouping Terms.3B and.4a : No need to learn the Alternative Solution. Weakness: Students forget to change the sign after removing the bracket with a negative sign before. Revision & Quiz 6/9-5/0 Chapter : Identities and Factorization 6. 6.. Meaning of Identities 4. Difference of Two Squares Ex.. (,7,7,37).3 Perfect Square Ex.. (7,8,34).4 Factorization by Using Identities Ex..3 (8,5,9,3,37) A. Difference of Two Squares Ex..4 (3,33,35) B. Perfect Square 3 Rev. Ex. (7a) Action research (0506) : common mistake of equating a ± b with (a ± b). Weakness: Students find difficulties with problems involving fractions. /0 Uniform Quiz on summer vacation exercise + Ch. 6/0 3/0 Revision & Uniform Quiz 3 Chapter 5: Approximation and Errors. 9. 5. Significant Figures ( Revise Rounding off) 3 5. Scientific Notation 5.3 Errors A. Absolute Error B. Maximum Absolute Error C. Relative Error D. Percentage Error Revision & Uniform Quiz Ex 5. ( 0b,a,b,a ) Ex 5.3 ( 5,0,,3,6 ) Action research ( 0405 ) : concept of maximum absolute error. Weakness : Students easily mix up so many types of errors.
S. Mathematics Schedule for Normal Classes (08 09) Page / 5/ 6/ 5/. Chapter 6: More about Statistical Diagrams and Graphs 6. Organization of Continuous Data 6. Histograms, Frequency Polygons and Frequency Curves A. Histograms B. Frequency Polygons C. Frequency Curves Core Textbook 3. Ex 6. () (b:curves polygons) 6.3 Cumulative Frequency Polygons and Cumulative Frequency Curves A - D 4 Ex 6.3 (0) Rev. Ex. (4) 6.4 Abuses of Statistics Revision & Uniform Quiz Chapter 3: Formulas 7. 6. 3. Sequences 4 Ex. 3. (,4,6 ) 3. Introduction to Functions 3.3 Algebraic Fractions A. Simplification Ex. 3.3 B Multiplication and Division ( 5,38,4,46,5,55,56) C. Addition and Subtraction 3 3.4 Formulas and of Substitution Ex. 3.4 (4,8) 3.5 Change of Subject 4 Ex.3.5 ( 9,3,7,34 ) Revision & Quiz 6/ Revision on past paper 4/- 3/ 0/ 0/ FIRST EXAMINATION Remark : Action Research (0708) : Percentiles Weakness: Some students have misconceptions in Frequency polygons and CF polygons. The concept of percentile is a little bit difficult for students to understand. PowerPoint for Fibonacci Sequence Action Research ( 0809 ) : Change of Subject in a Formula Weakness : weak in changing subject involving fractions. Christmas Holiday (Elite Classes C, D, E and F do Book Report as non-routine assignment ) 7/ Going over exam paper, follow up exercise 0/ Test on Ch., 5 8/ 5/ Chapter 4 : Laws of Integral Indices 7. 8. 4. Simplifying Algebraic Expressions Involving 3 Indices Ex 4. ( 34,39,44,46,49 ) 4. Zero and Negative Integral Indices 4 Ex 4. (,43,50,5 ) 4.3 Simple Exponential Equations 4 Ex 4.3 (7,4,8 ) 4.4 Different Numeral Systems A. Denary System B. Binary System Ex 4.4 ( 3d,5b, ) C. Hexadecimal System 4.5 Inter-conversion between Different Numeral Ex.4.5 ( 7a,8a,0 ) Systems Revision & Test Action Research ( 67) : Solving Exponential Equations Weakness: Students mix up with so many formulas.
S. Mathematics Schedule for Normal Classes (08 09) Page 3 9/ 5/ Chapter 7: Linear Equations in Two Unknowns 7. Linear Equations in Two Unknowns and Their 5. Core Textbook 4. Ex 7. (7,30) Graphs A - B 7. Solving Simultaneous Linear Equations in Two Unknowns by Graphical Ex 7. () 7.3 of Substitution 3 Ex 7.3 (4,6) 7.4 of Elimination 3 Ex 7.4 (8,9,4,9,3) 7.5 Applications of Simultaneous Linear Equations in Two Unknowns 4 Revision & Test Ex7.5 (0,,5) Rev. Ex. ( 6 ) Action Research ( 0304 ) : relative motion. Strength: Students are able to manage the three methods. Weakness: Students are weak in solving word problems. Also they always use method of substitution and are not familiar with method of elimination. 3/- 8/ New Year Holiday 6/ 4/3 Chapter : Trigonometric Ratios 4. 3.. Introduction to Trigonometric Ratio. Sine Ratio Ex. ( 6,7).3 Cosine Ratio Ex.3 (8).4 Tangent Ratio Ex.4 ( 7).5 Trigonometric Ratios of Some Special Angles Ex.5 ( 0,3,37 ).6 Finding Trigonometric Ratios by Using Rightangled Triangles Ex.6 ().7 Basic Trigonometric Identities Ex.7 (4,5).8 Trigonometric Identities of Complementary Angles Ex.8 (4,9,34) Revision & Test *Past Exam Question Remarks: Action research ( 0607 ) : Introduction of concept of three trigonometric ratios Strength: Students can master this chapter well. Weakness: Some students are hard to memorize all the formulas. They even cannot memorize the formulas of the three trigonometric ratios. 3/3 Test on Ch.3,4 and 7 5/3 /3 Chapter 0: Square Roots and Pythagoras Theorem. 6. 0. Square Roots and Surds A - B 0. Pythagoras Theorem and Its Proofs A. Pythagoras Theorem B. Different Proofs of Pythagoras Theorem Ex 0. (,7) ( Optional ) 0.3 Application of Pythagoras Theorem 0.4 Converse of Pythagoras Theorem and Its Application Action Research (34): Proofs of Pythagoras Theorem Strength: Students are good in mastering the theorem.
S. Mathematics Schedule for Normal Classes (08 09) Page 4 5/3-7/3 Core Textbook Revision for Uniform Test 8/3 9/3 UNIFORM TEST /4 Going Over Uniform Test Paper, Follow-up of Uniform Test /4-4/4 8/4-3/5 5/4-6/4 6/5-7/5 0.5 Rational and Irrational Numbers A. Rational Numbers B. Irrational Numbers C. Represent Irrational Numbers on the Number Line ( Optional ) D. First Crisis of Mathematics ( Optional ) 0.6 Operations of Surds A. Properties of Surds B. Addition and Subtraction of Surds C. Multiplication and Division of Surds D. Rationalization of Denominators E. Mixed Operations of Surds Ex 0.6 (8,3) Rev. Ex. (59,63) Chapter 8: Angles in Rectilinear Figures.. 8. Angles of Triangles 3 Ex. 8. (8,) 8. Special Triangles 3 Ex. 8. (,8) 8.3 Sum of Interior Angles of Polygons Ex. 8.3 (,9,6,*9) 8.4 Sum of Exterior Angles of Polygons Ex. 8.4 ( 3,,6 ) 8.5 Tessellation of a Plane (Optional) 8.6 Constructions of Regular Polygons (Optional) Revision & Quiz Easter Holiday : Students self-learning Sections 8.3 and 8.4 Chapter 9: Deductive Geometry. 3. 9. Introduction to Deductive Reasoning and Proofs ( Optional ) 9. Deductive Proofs Related to Lines and Triangles A - C 4 9.3 Deductive Proofs Related to Congruent and Isosceles Triangles 4 Ex. 9.3 (9) 9.4 Deductive Proofs Related to Similar Triangles Ex. 9.4 (7,) Revision & Quiz Weakness: Some students are hard to memorize the reasons. Weakness: Students are weak in identifying the conditions for similar triangles and skill of proving.
S. Mathematics Schedule for Normal Classes (08 09) Page 5 /5 3/6 Core Textbook Chapter : Area and Volume (II). 4.. Circumferences and Areas of Circles A. Circumferences of Circles B. Areas of Circles Ex. ( 0 ) C. Other Problems about Circumferences and Areas of Circles. Arcs and Sectors A. Arc Lengths B. Areas of Sectors Ex. (,5 ).3 Volumes and Total Surface Areas of Cylinders A. Volume of Cylinders B. Total Surface Area of Cylinders Ex.3 (9) Revision & Test *Past Exam Question 4/6-6/6 Overall Revision 0/6 /6 FINAL EXAMINATION Weakness: Students mix up with so many formulas. /5 Test on Ch.8,9 Assignments Elite Classes C,D,E,F Normal Class A & B Monitoring/Marking methods () Core Textbook for Homework At least 5 questions per cycle in average At least 5 questions per cycle in average Detail marking () Core Textbook for Practice At least one-third of the exercises (included core exercises for homework) At least one-third of the exercises (included core exercises for homework) Inspection (grading not required) Discussion of more difficult questions in lesson (3) Core textbook Assess Your Progress & Revision 00% of Assess Your Progress At least 50% of Revision 00% of Assess Your Progress At least one-third of Revision (4) Worksheets Every Chapter Every Chapter Inspection (grading not required) (5) Supplementary Worksheets Optional Optional Discussion of more difficult questions. solution or answer should be given after all students have completed the. (5) Non-routine Assignment At least one This year : Book Report Optional Simple marking (6) Quizzes ( include dictations) At least 7 times At least 7 times Corrections of zes are required.
S. Mathematics Schedule for Normal Classes (08 09) Page 6 Remarks:. Besides the exercises on the pre-lesson, students are required to read examples and do the Inspiring Task, Let s Practise and Follow-up of the textbook (chosen by teachers) for pre-lesson preparation.. The problem with sign * in column of Core Textbook stands for problems that require to explain the answers. 3. For the core exercises done in Homework book, no need to copy questions for the word problems. 4. Students failing to complete half of the assignment or do without working steps should be regarded as no submission unless they are sick or absent last time. 5. Higher Order Thinking problems are set as challenging or harder problems for. Basic requirement Total number of teaching cycles or lessons Minimum number of problems or lessons in the whole year number of problems or lessons in the schedule planned Homework At least 5 problems per cycle in average About 5 cycles 5 x 5 = 5 7 ( A, B ) and 3 ( elite )