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LIU PO SHAN MEMORIAL COLLEGE S. 1 MATHEMATICS TEACHING SCHEDULE (2011– 2012) Week and Date 1–3 (2/9 – 14/9) 3–5 (15/9 – 30/9) 6–8 (29/9 – 26/10) 9 – 10 (28/10 – 2/11) 10 – 12 (3/11 – 16/11) 13 – 15 (17/11 – 6/12) 15 – 17 (7/12 – 21/12) 17 –19 (23/12 – 2/1) 19 (4/1 – 5/1) 19 – 21 (6/1 – 19/1) 21 – 23 (20/1 – 31/1) 23 – 25 (1/2 – 16/2) 25 – 27 (17/2 – 1/3) 27 – 29 (2/3 – 16/3) 30 (19/3 – 22/3) 31 (26/3 – 29/3) 31 – 34 (30/3 – 18/4) 34 – 35 35 – 39 38 – 41 41 – 44 (19/4 – 3/5) (4/5 – 21/5) (22/5 – 7/6) (8/6 – 21/6) Setters: 1st term test : Chan Yuen Man 1st term examination : Lo Chun Sing 2nd term test : Chan Yuen Man 2nd term examination : Lo Yee Ting Chapter Topic Ch 0 Basic Mathematics Ch 1 Directed Numbers Ch 2 Using Algebra to Solve Problems (I) 1st term test Ch 4 Using Algebra to Solve Problems (II) Ch 5 Estimation in Numbers and Measurement Ch 6 Introduction to Geometry Christmas Holiday Revision 1st term examination Chinese New Year Holiday Ch 3 Percentages (I) Ch 7 Area and Volume (I) Ch 8 Introduction to Coordinates Ch 9.1 Symmetry and Transformation 2nd term test Ch 9.2-9.3 Symmetry and Transformation Ching Ming Festival and Easter Holiday (4/4 – 15/4) Ch 10 Angles in Intersecting and Parallel Lines Ch 11 Congruence and Similarity Ch 12 Introduction to Statistics nd 2 term examination No. of School Days 8 12 16 (total : 36) 10 11 11 (total : 32) 2 (total : 2) 12 10 10 4 (total : 36) 6 10 10 12 (total : 38) Codes : I --- I. T. C--- Civic Education P --- Project R --- Reading LD --- Learning Diversity 1 Liu Po Shan Memorial College S. 1 Mathematics Teaching Schedule (2011 – 2012) TEXTBOOK : New Century Mathematics (1A, 1B) TEACHER : Lo Chun Sing, Lo Yee Ting, Chan Yuen Man (Form Coordinator) Ch 0 Basic Mathematics Week 1–3 Section 0.1 Types of Numbers LearningTargets •Recognize the three types of numbers: natural numbers, even Remarks I : E-book numbers and odd numbers. Ex. I : 1 , 5, 7 , 9 ,12, __, __ 0.2 The Four Fundamental Arithmetic (2/9 – 14/9) Exercises Operations A. The Results of Operations B. Brackets R: p.2 Our Legendary Mathematicians •Perform calculations involving the four fundamental arithmetic operations. Revision Test • Perform calculations involving brackets. 0.3 Multiples and Factors Ex. II : 3, 5, 8-11, 13, Ch 0 A. Multiples •Revise the concept of multiples. __, __ B. Factors •Revise the concept of factors. C. Prime Numbers and Prime Factors •Understand the concepts of prime numbers and prime factors. LD: p.31 D. Index Notation •Learn the use of index notation. Challenging E. H.C.F. and L.C.M. •Learn how to find H.C.F. and L.C.M. from products of prime Problems factors. 0.4 Fractions A. Introduction B. Simplifying Fractions Ex III : 1 , 2 , 4, 13, 17, •Revise the concept of fraction, types of fractions and some __ , __ are there 60 related terms. min in an hr, •Revise the idea of equal fractions and know how to reduce a C. Operations with Fractions 60 sec in a fraction to its simplest form. min? •Perform calculations involving different types of fractions. Overall revision R : p. 32 Why Checkpoint Supp Ex. 0 : 12, 16, __, 2 Ch 1 Directed Numbers Week 3–5 (15/9 – 30/9) Section 1.0 Pre-learning 1.1 Learning Targets Exercises •Revise how to compare the values of numbers. The Concept and Applications of Remarks I: E-book Ex. 1A : 3, 4, 5, Directed Numbers 7, 8, 10, __, __ I : ETV A. Applications of Directed Numbers • Understand intuitively the concept and applications of directed numbers. (Directed B. Arrangement of Directed Numbers • Master the idea of arranging directed numbers in order on the number Numbers) on the Number Line line. 1.2 Addition and Subtraction of Ex. 1B : 4, 9, 15, Directed Numbers A. Addition of Directed Numbers on a 16, 17, 20, __, •Explore and discuss the addition of directed numbers using a number line. __ Number Line B. Subtraction of Directed Numbers on a Number Line C. Addition and Subtraction of Directed Numbers by Removing •Explore and discuss the subtraction of directed numbers using a number Revision Test line. Ch 1 •Learn to use the four rules for removing brackets to perform addition and subtraction of directed numbers. Brackets 1.3 Multiplication and Division of Ex. 1C : 17-21, Directed Numbers A. Multiplication of Directed 22, __, __ •Explore and discuss the division of directed numbers. B. Division of Directed Numbers •Learn how to use a calculator to perform mixed operations of directed C. Mixed Operations of Directed R : p.76 numbers. Application of Numbers Using a Calculator Overall Revision Challenging Problems •Explore and discuss the multiplication of directed numbers. Numbers LD : p.74 Checkpoint Directed Supp. Ex. 1 1, 6, Numbers in 8, 18, 19, 21, Accounting 27, ___, ___ 3 Ch 2 Using Algebra to Solve Problems (I) Week 6–8 Section 2.1 Learning Targets Introduction to Algebra A. Using Letters to Represent Numbers •Recognize and appreciate the use of letters to represent numbers. arithmetic. Terms of Algebraic Expressions Ex. 2A : 1-6, 13-21, 26, 28, ___, ___ •Recognize the meanings of term in an algebraic expression, the constant Combining Like Terms R : p. 82 Our :Legendary term, like terms and unlike terms. C. Remarks I: E-book •Know the differences between the language of algebra and the language of (3/10 – 26/10) B. Exercises Mathematicians •Learn to combine like terms. 2.2 Algebraic Equations Ex. 2B : 1-3, A. Formulating Algebraic Equations •Know how to formulate algebraic equations to solve problems. 15-18, 25, 27, B. Properties of Equations •Recognize the general properties of equations. __, __ C. Solving Simple Equations • Learn to solve algebraic equations by the method of guessing and checking. • Learn to solve algebraic equations using the technique of transposing terms. • Learn to solve algebraic equations using the technique of converting multiplication/ division operation. D. Solving More Complicated Equations • Learn to solve algebraic equations using the technique of combining like terms. Ex .2C : 1, 4, Revision Test 10, 13, 18, Ch 2 • Learn to solve algebraic equations using the technique of removing brackets. 20, 21, 25, •Learn to solve algebraic equations using the technique of cancelling __, __ denominators. 2.3 Formulating Equation to Solve Problems Overall Revision • Learn the steps of formulating and solving algebraic equations. Ex .2D : 1, 4, 8, 9, 13, 21, __, __ LD : p.121 Challenging Problems Checkpoint, Supp. Ex.2 : 15, 16, 20,. __, __ 4 Ch 4 Using Algebra to Solve Problems (II) Week 110 – 12 (3/11 – Section 4.1 Formulae 4.2 Inequalities Learning Targets Exercises • Recognize some common formulae that can be expressed in algebraic form. Ex. 4A : (1-4, 7, • Recognize the subject of a formula. 13, 15, 22, 25, __, • Learn the method of substitution. __ •Know how to set up simple inequalities to solve problems. Ex. 4B : 3, 4, 5 , 8, 12, __, __ 16/11) 4.3 Sequences 4.4 Introduction to Functions • Recognize sequences, terms and number patterns. Ex. 4C : 4, 8, 10, •Recognize the general term and use it to describe a sequence. 17, 19, __, __, •Obtain a preliminary idea of function. Ex. 4D : 4, 10, 11, Remarks I : E-book R : p.200 Interesting Sequence Revision Test Ch 4 15 __, __ Overall Revision Checkpoint Supp. Ex. 4 : 4, 7,10, 18, 21, __, LD : p.211 Challenging Problems __ R : p212 A sequence Related to the Study of Biological Reproduction 5 Ch 5 Estimation in Numbers and Measurement Week 13 – 15 Section 5.0 Pre-learning Learning Targets Exercises Remarks •Revise the basic knowledge of approximate values and the rule for rounding off. (17/11 – 5.1 Estimation in Numbers A. The Significance of Estimation 6/12) B. The Means of Getting Approximate Ex. 5A :1, 6-11, • Recognize when estimation is needed in daily lives. •Learn the means of getting an approximate value of a number. I : ETV (Estimation Value C. Estimation Strategies in Measurement) • Learn the estimation strategies. • Select and use different estimation strategies to estimate the values of R : p.220 Our numerical expressions. D. The Applications of Estimation Legendary •Learn the applications of estimation in daily life. Mathematicians •Appreciate the efforts of some past attempts to estimate the value of . 5.2 Estimation in Measurement A. Direct Measurement B. Indirect Measurement Ex. 5B : 2, 4, 5, Revision Test 8, 12, __, __ Ch 5 •Choose appropriate measuring tools and units. •Learn the methods of reducing errors. • Recognize the need of estimation in measurement. LD : p.255 •Understand the benchmark strategy as an estimation strategy in measurement. Challenging •Understand the decomposition- recomposition strategy as an estimation Problems strategy in measurement. • Understand combining a group of small objects as an estimation strategy in R : p256 measurement. The Unit used for • Understand using formulae as an estimation strategy in measurement. Overall Revision I : E-book 16, 24, __, __ Measuring Checkpoint the Weight of Papers Supp. Ex. 5 : 8, 10, 12, __, __ 6 Ch 6 Introduction to Geometry Section Week 15 – 17 (7/12 – 21/12) Learning Targets Exercises •Revise some basic knowledge about angles. Remarks 6.0 Pre-Learning I : E-book 6.1 Basic Geometric Concepts A. Points, Lines and Planes • Recognize points, lines and planes. 9, 10, 13, __, I : ETV B. Angles • Recognize angles and their notations. __ (Introduction Ex. 6A : 1, 4, 5, to Geometry) • Know how to distinguish different types of angles. C. Parallel and Perpendicular • Recognize parallel lines, their notations and * the method of construction.(LD) Lines • Recognize perpendicular lines, their notations and* the method of construction. (LD). 6.2 Plane Figures A. Circles R : p.264 Our Ex. 6B : 7, 9, 17, • Recognize circles and the related terms. 19, 23, __, __ Legendary Mathematicia ns • *Learn to construct circles and arcs. (LD) • Recognize triangles and their notations. B. Triangles • Know how to distinguish different types of triangles. • Learn the angle sum of a triangle. •*Learn to construct a triangle according to given conditions. (LD) C. Polygons • Recognize and distinguish different types of polygons. 6.3 Solid Figures A. Introduction to Solid Figures B. Euler’s Formula C. Two-dimensional (2-D) Ex. 6C : 5-10, •Recognize simple solids. 12, 14, 17, __, •Explore an important property of polyhedra Euler’s Formula. __ Revision Test Ch 6 •Learn to sketch the two-dimensional representations of simple solids. Representations of Simple LD : p. 317 Solids D. Cross-sections •Learn to draw the cross-sections of simple solids. Making models E. Nets for Polyhedra •Explore the method of making models of polyhedra. of polyhedra Challenging Problems * 7 Section Week Learning Targets Overall Revision Exercises Remarks Checkpoint R : p318 Supp. Ex. 6 : Geometry and 9, 12, 15, __, __ Design Ch 3 Percentages (I) Week 23 – 25 (1/2 – 16/2) Section 3.0 Pre-learning Learning Targets Exercises •Revise the basic knowledge of percentage. 3.1 Simple Problems Involving Remarks I: E-book Ex. 3A : 2, 6, 13, Percentages 20, __, __ A. Using Percentage to Find a Number •Learn how to find a number from a given percentage. B. Finding the Percentage •Learn to compare two quantities by using percentages. C. Finding the Original Number from •Learn how to find the original number from a given percentage. I : ETV (Percentages) a Given Percentage 3.2 Percentage Change Ex. 3B : 1-4, 9, A. Percentage Increase •Understand and solve problems involving percentage increase. B. Percentage Decrease •Understand and solve problems involving percentage decrease. Revision Test C. Percentage Change •Understand and solve problems involving percentage change. Ch 3 3.3 Profit and Loss Ex. 3C : 1, 5, 7, A. Profit • Understand and solve problems involving profit per cent. B. Loss • Understand and solve problems involving loss per cent. 3.4 Discount • Understand the meaning of discount and solve daily problems on discount. 3.5 Simple Interest 14 29, 23, __, __ •Apply percentages to solve problems on simple interest. 13, 17, 24, __, __ LD : p.177 Challenging Problems Ex. 3D : 3-6, 13, 15, 20, __, __ Ex. 3E : 2,-6, 8 R : p.178 Another Way to Request 12, 15, 17,__, __ 8 Week Section Learning Targets Overall Revision Exercises Checkpoint Remarks Discount Supp. Ex. 3 : 5, 7, 10, 13 22, 24, 28, 32, __, __ Chapter 7 Area and Volume (I) Week 25 – 27 Section 7.0 Pre-Learning Learning Targets I : E-book & ETV • Revise the formulae for the areas of simple plane figures and the volumes of (Volumes and simple solids. (17/2 – 1/3) Remarks Exercises Surface Areas of 7.1 Review on Areas of Simple Polygons 7.2 Ex. 7A : 6, 8, 14, • Learn the different methods to find areas of simple polygons. Total Surface Areas and Volumes Ex. 7B : 5, 10,14, of Prisms 17, 20, __, __ A. Prisms • Recognize different types of prisms, including cubes and cuboids. B. Total Surface Areas of Prisms • Understand and apply the formula for the total surface areas of prisms. C. Volumes of Prisms • Understand and apply the formula for the volumes of prisms. Overall Revision Prisms) 21, __, __ R : p.4 Our Legendary Mathematicians Revision Test Checkpoint Ch 7 Supp. Ex. 7 : 5, 10, 16, 19, __, __ LD : p. 31 Challenging Problems R : p. 32 The Gift of River Nile 9 Chapter 8 Introduction to Coordinates Week 27 – 29 (2/3 – 16/3) Section 8.0 Pre-Learning Learning Targets • Revise the basic knowledge of a number line. 8.1 Rectangular Coordinate System A. Introduction to Coordinate System • Study the concept of coordinate system. B. Rectangular Coordinate Plane • Understand and use the rectangular coordinate system to describe positions of Remarks Exercises I : E-book Ex. 8A : 1, 2, 7, 11, 15, __, __ R : p39 Our Legendary Mathematicians points in a plane. • Locate a point in the rectangular coordinate system from its ordered pair. 8.2 Lengths of the Line Segments in Ex. 8B : 1, 5, 7, the Rectangular Coordinate 10, 15, 17, __, __ Ch 8 System A. Lengths of Horizontal Line Revision Test •Learn to calculate the distance between two points on a horizontal line. Segments B. Lengths of Vertical Line Segments LD : p. 83 •Learn to calculate the distance between two points on a vertical line. Challenging 8.3 Areas of Plane Figures in the • Learn to calculate the areas of figures in the rectangular coordinate plane. Rectangular Coordinate System 8.4 Polar Coordinates A. Introduction to Polar Coordinates Ex. 8C : 4, 11, 16, 17, __, __ Ex. 8D : 1, 3, 5, 6, • Understand and use the polar coordinate system to describe positions of points in __, __ Comparison between Rectangular Arrange Patterns • Compare the rectangular coordinate system with the polar coordinate system. when using and Polar Coordinates Overall Revision R : p. 84 Use Coordinates to a plane. B. Problems Checkpoint Powerpoint Supp. Ex. 8 : 5, 8, 9, 15, __, __ 10 Chapter 9 Symmetry and Transformation Week 30 (19/3 – 22/3) Section 9.0 Pre-Learning Learning Targets • Revise the concept of symmetry. 9.1 Symmetry A. • Recognize reflectional symmetry in plane figures. 11, 12, __, __ Symmetry B. I: Ex. 9A : 2, 5, 8, Figures that have Reflectional (30/3 – 18/4) E-book I : ETV (Transformation and Symmetry) Figures that have Rotational • Recognize rotational symmetry in plane figures. Symmetry 30 – 34 Remarks Exercises R : .91 Our 9.2 Transformation • Learn the concept of transformation. Ex. 9B : 1, 2, 7, 9, Legendary A. Reflection • Recognize the effect of reflection on plane figures. 12, 15, __, __ Mathematicians B. Rotation • Recognize the effect of rotation on plane figures. C. Translation • Recognize the effect of translation on plane figures. Revision Test D. Enlargement/ • Recognize the effect of enlargement or reduction on plane figures. Ch 9 Reduction 9.3 Transformations in a Rectangular Ex. 9C : 3, 6, 12, LD : p. 141 16, __, __ Challenging Coordinate Plane A. Translation • Describe intuitively the effects of translation on points in a coordinate plane. B. Reflection • Describe intuitively the effects of reflection on points in a coordinate plane. C. Rotation • Describe intuitively the effects of rotation on points in a coordinate plane. Overall Revision Problems R : p. 142 The Art Checkpoint of Symmetrical Supp. Ex. 9 : 3, 4, Paper Cutting (C ) 9, 13, 15, __, __ 11 Chapter 10 Angles in Intersecting and Parallel Lines Week 34 – 35 Section 10.0 Pre-Learning Learning Targets Exercises • Revise the knowledge on classification of angles, relations between straight lines, Remarks I : E-book and angle sum of a triangle. (19/4 – 3/5) 10.1 Angles Relating to Intersecting Ex. 10A : 4, 14, Lines A. Angles at a Point • Recognize angles at a point. Explore and use the property of these angles. B. Adjacent Angles on a Straight Line • Recognize adjacent angles on a straight line. Explore and use the property of 18, 24, 27, 29, R : p.156 Our Legendary Mathematicians __, __ these angles. C. Vertically Opposite Angles • Recognize vertically opposite angles. Explore and use the property of these Revision Test angles. Ch 10 10.2 Angles Relating to Parallel Lines A. Angles Formed by Two Lines and a Transversal B. Angles Formed by Parallel Lines and a Transversal Ex. 10B : 7, 12, • Recognize angles associated with a transversal: corresponding angles, alternate angles and interior angles on the same side of the transversal. • Explore and use the properties of angles associated with parallel lines and their 19, 23, 26, 28, LD : p. 197 __, __ Challenging transversals (corresponding angles, alternate angles and interior angles on the Problems same side of the transversal). 10.3 *Conditions for Parallel Lines • *Explore and use the conditions for parallel lines. (LD) *Ex. 10C (LD) *R : p. 198 (LD) Overall Revision Checkpoint Supp. Ex. 10 : 7, Drawing Parallel Lines (LD) 10, 14, 21, __, __ 12 Chapter 11 Congruence and Similarity Week 35 – 39 (4/5 – 21/5) Section Learning Targets 11.1 The Meaning of Congruence Exercises Ex. 11A : 2, 3, 6, A. Congruent Figures • Recognize congruent figures. B. Transformation and Congruence • Explore the relationship between transformation and congruence. C. Congruent Triangles • Recognize the properties of congruent triangles. Remarks E-book 11, 14, 18, __, __ R : p.204 Our Legendary 11.2 Conditions for Triangles to be Ex. 11B : 6, 12, Congruent Mathematicians 18, 21, 24, __, __ A. Three Sides Equal • Learn to use the condition SSS to identify whether two triangles are congruent. B. Two Sides and the Included • Learn to use the condition SAS to identify whether two triangles are congruent. Revision Test Ch 11 Angle Equal C. Two Angles and One Side Equal • Learn to use the conditions ASA and AAS to identify whether two triangles are LD : p. 253 congruent. D. Right Angle, Hypotenuse and • Learn to use the condition RHS to identify whether two triangles are congruent. One Side Equal • Learn the conditions for fixing a triangle. Challenging Problems 11.3 The Meaning of Similarity • Recognize similar figures. Ex. 11C : 5, 8, 11, R : p. 254 A. Similar Figures • Relate the idea of transformation to similar figures. 13, __, __ Artwork Formed B. Similar Triangles • Recognize the properties of similar triangles. 11.4 by Congruent Conditions for Triangles to be Ex.11D : 7, 8, 9, Similar 11, 13, __, __ A. Three Angles Equal • Learn to use the condition AAA to identify whether two triangles are similar. B. Three Sides Proportional • Learn to use the condition 3 sides proportional to identify whether two triangles Figures are similar. C. Two Sides Proportional and the Included Angle Equal • Learn to use the condition ratio of 2 sides, inc. to identify whether two triangles are similar. 13 Overall Revision Checkpoint Supp. Ex. 11 : 8, 9, 14, 18, __, __ Chapter 12 Introduction to Statistics Week Section 38 – 41 12.1 Different Stages of Statistics (22/5 – 75/6) 12.2 Learning Targets Remarks • Recognize various stages involved in statistical surveys. Collection of Data and their E-book Ex. 12A : 1, 2, 4, Classifications 6, __, __ A. Collection of Data • Learn different methods of collecting data. B. Classification of Data • Understand the existence of different types of data. 12.3 Organization of Data Exercises Legendary Mathematicians • Learn how to organize a given set of discrete data. Ex.12B : 2, 4, 6, • Understand the criteria of organizing data. __, __ 12.4 Presentation and Analysis of R : p.260 Our : Ex. 12C : 1, 3, 5, Data 6, 8, __, __ A. Pie Charts • Learn to construct and interpret pie charts. B. Broken Line Graphs • Learn to construct and interpret broken line graphs. C. Stem-and-leaf Diagrams • Learn to construct and interpret stem-and-leaf diagrams and back-to-back D. Scatter Diagrams stem-and-leaf diagrams. Revision Test Ch 12 Ex. 12D : 2, 4, 5, 6, __, __ • Learn to construct and interpret scatter diagrams. 14 12.5 Uses and Misuses of Statistical Diagrams A. Choosing Suitable Statistical Ex. 12E : 1, 2, 4, LD : p.330 5, 9, __, __ Challenging • Learn how to choose suitable statistical diagrams to present data. Problems Diagrams B. Misuses of Statistical Diagrams • Identify sources of deception in statistical diagrams that tend to be misleading C : Cultivate and recognize the dangers of misinterpreting statistical data. Overall Revision critical thinking Checkpoint Supp. Ex. 12 : 1, 2, 7, 12, 15, __, __ on statistical diagrams present in the mass media R : p. 332 The Census 15