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ST. FRANCIS’ CANOSSIAN COLLEGE MATHEMATICS DEPARTMENT CURRICULUM PLANNING 07-08 Subject : Class: Mathematics Textbook: Exploring Mathematics Book 1 (Oxford). Form 1 Subject Teachers: Mrs. E. Fu, Ms. J. Cheung, Ms. J. Ho, Ms. A. Lai, Ms. W.K. Chan Chapter Date Cycle 0 3/9 -12/9 1 1 2 13/9 - 4/10 8/10 - 26/10 2 4 Detailed Content Introduction Basic Arithmetic 0.1 Numbers 0.2 The Four Fundamental Arithmetic Operations 0.3 Multiples and Factors 0.4 Fractions 0.5 Choosing Appropriate Measuring Tools and Units Chapter Quiz Directed Numbers 1.1 The Concept and Applications of Directed Numbers • Students should be told that the sign ‘–’ is not the only indication for negative numbers. For instance, in a monthly bank statement, ‘dr’ (debit) is used instead, and in accountancy, a pair of brackets are used to indicate deficit. • Students may be asked to collect some telephone bills, credit card statements, etc. and see what other symbols are used to represent the debit and credit items. 1.2 Addition and Subtraction of Directed Numbers 1.3 Multiplication and Division of Directed Numbers • Students may be asked to give examples to illustrate the rules for the multiplication of directed numbers. Chapter Quiz Using Algebra to Solve Problems (I) 2.1 Introduction to Algebra 2.2 Algebraic Equations in One Unknown 2.3 More on Forming and Solving Algebraic Equations • Recognize literal equations and learn how to solve equations of this kind. N.P. Suggested Activities 1 1 1 1 1 1 2 Game: Walking on the number line Game: Card Game 5 5 1 4 7 3 Powerpoint : Chapter 2 Class Discussion (P. A1) F.1 curriculum P.1 3 4 29/10 – 20/11 21/11 – 4/12 6 9 Chapter Quiz Percentages (I) 3.1 Simple Problems Involving Percentages 3.2 Percentage Change 3.3 Profit and Loss 3.4 Discount 3.5 Simple Interest • Teach students to use spreadsheet to solve problems on simple interest in table form by using its calculating functions. Chapter Quiz Using Algebra to Solve Problems (II) 4.1 Formulating Inequalities 4.2 Formulas 4.3 Sequences 1 2 3 2 1 3 Be a wise consumer (Civic Education) Workbook 1A Ex.3E 1 1 0 5 Ex. 4A (No.4b – 13b) (cancelled) Ex. 4B (cancelled) Powerpoint: Pattern and Sequence 1 1 Powerpoint: Fibonacci Sequence IT Station (P.175) 2 4 Powerpoint: Symmetry Powerpoint: Translation Reflection Powerpoint: Rotation Contraction • Introduction of arithmetic and geometric sequences. Some daily examples may be used. • Appreciate some interesting and famous sequences. 4.4 Introduction to Functions Chapter Quiz 9 5/12 – 19/12 11 Symmetry and Transformation 9.1 Symmetry 9.2 Transformation 9.3 Effects of Transformation on Coordiantes • Ask students to investigate the combined effects on coordinates of points after two or more different kinds of transformations. Apply the principles of transformation and symmetry to obtain wallpaper or tile patterns by repeating a basic unit. 3 Suggested Activity: Symmetrical properties of the HKSAR 2 1 Chapter Quiz 21/12 – 1/1 6 16/1 – 5/2 14 X’MAS HOLIDAY MID -TERM EXAMINATION Introduction to Geometry 6.1 Basic Geometric Knowledge • Point out a ‘line’ can be interpreted as a straight line or a curved line, and explain the difference between a line and a line segment. 6.2 Plane Figures Flag (Civic education) P. A11 2 3 F.1 curriculum P.2 6/2 – 17/2 7 8 10 18/2 – 26/2 3/3 – 14/3 17/3 –18/4 6.3 Three-dimensional Figures 6.4 Polyhedra • Ask students to design the nets for some simple polyhedra. • Learn oblique drawing. 2 1 2 Chapter Quiz 1 Supplementary Exercises on Oblique drawing**** P. A5 LUNAR NEW YEAR HOLIDAY 17 18 19 Area and Volume (I) 7.1 Area of Simple Polygons 7.2 Surface Areas and Volumes of Prisms • Use the software Wingeom to verify the formula for finding the volume of a prism. • Guide students to find the largest capacity of a rectangular container made from a piece of A4 paper.*** Chapter Quiz Introduction to Coordinates 8.1 Rectangular Coordinates 8.2 Distances and Areas in the Rectangular Coordinate System 8.3 Polar Coordinates Chapter Quiz Angles in Intersecting and Parallel Lines 10.1 Angles Relating to Intersecting Lines Holiday assignment: Exercise 7A 2 6 P.A13 P.A8 1 3 4 2 Powerpoint: Ordered pair Powerpoint: Area of Polygons Powerpoint: Polar Coordinates 1 4 Powerpoint ‘Angles & the Parallels’ with Sketchpad illustration. 20/3 – 30/3 11 5 21/4 – 9/5 13/5 – 27/5 22 24 EASTER HOLIDAY 10.2 Angles Relating to Parallel Lines • Guide students to use the software Geometer’s Sketchpad to verify the above property. 10.3 Conditions for Parallel Lines Chapter Quiz Congruence and Similarity 11.1 The Meaning of Congruence 11.2 Conditions for Triangles to be Congruent 11.3 The Meaning of Similarity 11.4 Conditions for Triangles to be Similar • Explore some figures in fractal geometry. Chapter Quiz Estimation in Numbers and Measurement 5.1 The significance of Estimation • Guide students to appreciate the increased accuracy when better 5 Powerpoint: Quiz on Angles and Parallel lines (Group Activity) P. A15 2 1 2 5 2 4 2 1 Teaching Kit: Congruence Teaching Kit: Similarity P.A12 2 F.1 curriculum P.3 12 28/5 – 6/6 26 approximate values of are used. 5.2 Estimation Methods and Strategies Relating to Numbers 5.3 Estimation Strategies in Measurement Chapter Quiz Introduction to Statistics 12.1 Various Stages of Statistics 12.2 Collection and Classification of Data 12.3 Organization of Discrete Data • Discuss the effects of changing the widths of class intervals. 12.4 Presentation and Analysis of Discrete Data • Learn to use spreadsheet applications to construct pie charts, broken line graphs from data • Let students make use of the given website to construct stem-and-leaf diagram • Ask students to collect different kinds of graphs from newspapers or from internet and do some discussion activities. 12.5 Misuse of Statistical Graphs • Ask students to collect some statistical graphs from newspapers or magazines, and discuss whether they are conveying misleading messages. Chapter Quiz 4 3 1 Powerpoint: Estimation Game: Guessing figures about Hong Kong / China (Civic Education) 1 1 2 Powerpoint: Statistics 1 9 IT Station (P.222) IT Station (P.234) Powerpoint: Statistics 2 2 Suggested Activity: Newspaper Clippings of Different 1 Kinds of Statistical Charts (Civic education) FINAL EXAMINATION Note: (1) a) region are only suitable for students of general and higher abilities, b) region are only suitable for abler students. (2) Topics / Exercises for students for abler students: ‘Challenging Problems’ at the end of each chapter. F.1 curriculum P.4