Form 1 Ch. 1 Directed Numbers and Number Line Vocabulary 1 (Section 1.1 Concept of Directed Numbers) concept (n.) 概念 positive number 正數 Increase, rise

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1 Vocabulary 1 Form 1 Ch. 0 Basic Mathematics 大於, 多於 : more greater larger (than) 小於, 少於 : less fewer smaller (than) Vocabulary 2 餘下 : leave, left, remain, remained, remaining Vocabulary 3 (A) 的 (B): (B) of (A) 的數量 : number of... Vocabulary 4 (about money) amount (n.) 金額 expenditure (n.) 支出 price (n.) 價錢 earn (v.) 賺取 income (n.) 收入 salary (n.) 薪金 cost (v.) 需支付 錢 pay, spend, spent (v.) 付出 sell, sold (v.) 賣 cost (n.) 價值, 成本 pocket money (n.) 零用錢 needed, required (adj.) 所需的 Amount that Peter spends on soft drinks = 5 4 = $20 Amount spent on soft drinks = 5 4 = $20 Peter s expenditure on soft drink = 5 4 = $20 Vocabulary 5 (about time) spend, spent (v.) 付出 new (adj.) 新的 daily (adj.) at the beginning 最初 annual, yearly (adj., adv) 每年的 地 century (n.) old (adj.) 舊的, 以前的 monthly (adj., adv.) 每月的 地 minute (n.) original (adj.) 原來的 weekly (adj., adv.) 每週的 地 second (n.) 每日的 地 世紀 分鐘 秒 Time spent on doing homework = 2 30 = 60mins Time needed = 2 30 = 60mins Peter s monthly income = = $300 Vocabulary 6 (about quantity) a piece of 一件, 一塊, 一張 on average 平均地 a pair of 一對 dozen (n.) 打 ( 十二個 ) each (adj.) 每個 greatest, maximum 最大的 (adj.) Price of each apple = = $2 Price per apple = = $2 Price of a dozen of apples = 2 12 = $24 per (adj.) 每個 smallest, minimum 最小的 (adj.)

2 Form 1 Ch. 1 Directed Numbers and Number Line Vocabulary 1 (Section 1.1 Concept of Directed Numbers) concept (n.) 概念 positive number 正數 Increase, rise, raise, gain (v.) 增加 lose (v.), loss (n.) 虧蝕, 失去 north (n.) 北 west (n.) 西 directed number 有向數 negative number 負數 decrease, reduce, lower (v.) 減少 upwards (adv.) 向上 south (n.) 南 opposite number 相反數 direction (n.) 方向 represent (v.) 代表 profit (n.) 盈利 downwards (adv.) 向下 east (n.) 東 magnitude (n.) 數量 ( 忽略正負號 ) $2 represents a decrease of 2 dollars in price. If +300m represents 300 metres to the north, then 200m represents 200 metres to the south. The opposite number of 4 is 4. Vocabulary 2 (Section 1.2 The Number Line) number line 數線 arrange (v.) 排列 mental ascending order 由小至大 mental math descending order 由大至小 心算 2, 5, 6, 9, 15 are arranged in an ascending order. The teacher gives us back the test paper in the descending order of the scores. As a secondary school student, you should be able to do the sum of 6 and 9 by math. Vocabulary 3 (Section 1.3 Addition and Subtraction of Directed Numbers addition (n.) 加法 division (n.) 除法 Section 1.4 Multiplication and Division of Directed Numbers) subtraction (n.) 減法 Commutative property of multiplication 乘法交換性 multiplication (v.) 乘法 evaluate (v.) 計算 則 By the commutative property of multiplication, we know that is equal to without evaluating their values. Vocabulary 4 (Section 1.5 Contextual Problems) contextual problem 文字題 change (n.), (v.) 轉變 Tommy has changed a lot after entering to the secondary school.

3 Form 1 Ch. 2 Introduction to Algebra Vocabulary 1 (Section 2.1 Algebraic Language) introduction (n.) 介紹 algebraic (adj.) 代數的 Express in terms of x 以 x 表示 introduce (v.) 介紹 algebraic language 代數語言 language (n.) 語言 The teacher introduces a new student to his class today. In algebra, we use 6ab to represemt 6 a b. We could simplify to 2 3. algebra (n.) 代數學 Simplify (v.) 化簡 Vocabulary 2 (Section 2.2 Method of Substitution and Formulas) method (n.) 方法 formula (n.) 公式 substitution (n.) 代入法 consider (v) 考慮 substitute (v.) 代入 value (n.) 數值 There are some fast methods to evaluate We substitute a = 5 into the formula B = 4a so that B = The value of 10 is 100. I consider buying a new mobile phone. Vocabulary 3 (Section 2.3 Number Patterns) pattern (n.) 規律 number pattern 數字規律 the n-th term 第 n 項 第 n 個數 even number 雙數 odd number 單數 square number 正方形數 triangular number 三角形數 general term 通項 sequence (n.) 一系列的數字 ( 又名 序列 ) 1, 3, 5, 7, 9, is a sequence of numbers. This sequence is called odd numbers and the general term is 2n 1. 2 The n-th term of square numbers is n.

4 Form 1 Ch. 3 Algebraic Equations in One Unknown Vocabulary 1 (Section 3.1 Algebraic Equations Section 3.2 More about Solving Equations) equation (n.) 方程 unknown (n.) 未知數 left hand side ( 方程的 ) 左面 solve (v.) 解 ( 求未知數的值 ), 解決 The root of the equation 2x + 1 = 7 is 3. y is the unknown of the equation 5y 6 = 14. Tom solve the question by himself. right hand side ( 方程的 ) 右面 root (n.) 方程的答案 Vocabulary 2 (Section 3.3 Application of Algebraic Equations) application (n.) let x be original (adj.) 應用 設 x 為 原來的, 本來的 An application of directed numbers is to represent temperature. Boris s original salary was $9000. It is $19000 now. Vocabulary 3 (Section 3.4 Literal Equations) literal equation 文字方程 ax b c is an example of literal equation.

5 Form 1 Ch. 4 Percentages (I) Vocabulary 1 (Section 4.1 Basic percentage) percentage (n.) 百分數 per cent (n.) 百分之 whole (n.) 全部 part (n.) 部分 percentage of the part to the whole (n.) 部分佔全部的百分數 More than sixty per cents of the choir members are boys. There is a very high percentage of students wearing glasses in F.1. We ate the whole cake in about ten minutes! Vocabulary 2 (Section 4.2 Increase and Decrease) original value (n.) 原值 new value (n.) 新值 increase, rise, raise, gain, extend, profit 增加 decease, reduce, drop, lower, lose, loss 減少 percentage increase (n.) 增加的百分率 percentage decrease (n.) 減加的百分率 increase by $30 增加了 $30 decrease by $30 減少了 $30 increase to $30 增加至 $30 decrease to $30 減少至 $30 increase by 5% to $30 增加了 5%, 達至 $30 decrease by 5% to $30 減少了 5%, 達至 $30 The original price of the toy car was $50. After a month, it increased by $10. The new price was $60. The original price of the toy car was $50. After a month, it increased to $60. The percentage increase is 20%. The numbers of traffic accidents keep decreasing in these years. Vocabulary 3 (Section 4.3 Profit, Loss and Discount) cost price (n.) 成本 marked price (n.) 標價 selling price (n.) 售價 profit (n.) 盈利 profit per cent (n.) 盈利百分率 loss (n.) 虧蝕 loss per cent (n.) 虧蝕的百分率 discount (n.) 節扣 discount per cent (n.) Sold at a discount of 10% 節扣百分率 Sold at 10% off 九折出售 The cost price of each fish ball is fifty cents. John works at a book store so he can buys books at a discount. MTR made a great profit last year.

6 Form 1 Ch. 5 Estimation in Numbers and Measurement Vocabulary 1 (Section 5.1 Introduction to Estimation) exact value 真確值 estimate (v.) 估計 approximate (v.), (adj.) 估計 ( 的 ) accurate (adj.) 準確的 estimated value 估計值 近似值 approximate value 估計值 近似值 accuracy (n.) 準確性 estimation (n.) 估計 approximation (n.) 近似值 For , we need more time to get the accurate answer than doing estimation. For , we need more time to get the exact value of the answer than obtaining the estimated value is an approximation for Vocabulary 2 (Section 5.2 Numerical Estimation Strategy) numerical (adj.) 數值的 determine (v.) 判斷 strategy (n.) 策略 whether (conj.) 是否 round off 四捨五入 measure (v.) 量度 correct to the nearest 準確至最接近的 Rounding off is a strategy of estimation. Calculator can only solve the questions asking for numerical answers, but it 2 couldn t tell the answer of ( x 3)( x x 6). Before buying the new computer, you should determine whether you have enough money. This ruler, which has the scale interval of 1 mm, can measure the length of an object correct to the nearest mm. Vocabulary 3 (Section 5.3 Measurement Section 5.4 Estimation Strategies in Measurement) measure (v.) 量度 measured value 量度值 measuring tool 量度工具 measurement (n.) 量度 scale interval 刻度間距 The scale interval of most rulers is 1 cm. To do an accurate measurement, you need a measuring tool with small scale interval. By using this ruler, the measured value of the length of this object is 10.4 cm. Vocabulary 4 (Section 5.5 Methods of Reducing Errors in Measurement) error (n.) 誤差 Error is the difference between the exact value and the approximation.

7 Form 1 Ch. 6 Introduction to Geometry Vocabulary 1 (Section 6.1 The Elements of Geometry) element (n.) 元素 represent (v.) 代表 width (n.) 闊度 area (n.) 面積 geometry (n.) 幾何 straight line (n.) 直線 line segment (n.) 線段 volume (n.) 體積 point (n.) 點 infinite (adj.) 無限多 curve (n.) 曲線 dot (n.) 實心圓點 infinitely (adv.) 無限地 plane (n.) 平面 Points, lines, planes and solids are the elements of geometry. A point can be represented by a dot or a cross. There are infinitely many integers. A straight line can be drawn by using a ruler. cross (n.) 交叉 length (n.) 長度 thickness 厚度 Vocabulary 2 (Section 6.2 Angles) angle (n.) 角 intersect (v.) 相交 intersecting (adj.) 相交的 acute angle (n.) right angle (n.) obtuse angle (n.) 銳角 直角 鈍角 round angle (n.) protractor (n.) construct (v.) 圓角 圓規 構作 vertex vertices adjacent side (n.) 頂點鄰邊 straight angle reflex angle (n.) (n.) 平角反角 We measure an angle by a protractor. Line AB intersects Line CD at point E so an angle is formed at E. A triangle has three vertices. An obtuse angle is greater than an acute angle. Vocabulary 3 (Section 6.3 Lines on a Plane) parallel (adj.) 平行 perpendicular (adj.) 垂直 If the line AB is parallel to the line CD, then they do not have any intersection point. Vertical lines are always parallel to each other. The angle of intersection of perpendicular lines is a right angle. In a square, the adjacent sides are perpendicular to each other. Vocabulary 4 (Section 6.4 Plane Figures) triangle (n.) 三角形 scalene triangle (n.) 不規則三角角 isosceles triangle (n.) 等腰三角形 right-angled triangle quadrilateral (n.) pentagon (n.) (n.) 直角三角形 四邊形 五邊形 heptagon (n.) octagon (n.) n-sided polygon (n.) 七邊形 八邊形 n 邊形 equilateral triangle (n.) 等邊三角形 hexagon (n.) 六邊形 regular polygon (n.) 正多邊形

8 sum of 三角形內角和 Each interior angle of a regular hexagon is 120. A 20-sided polygon looks like a circle. Vocabulary 5 (Section 6.5 Construction of Figures) ruler (n.) 間尺 protractor (n.) 量角器 compass (n.) 圓規 We may use a compass to draw a circle with radius of any length. We may use a protractor to construct an angle even greater than 180. set square (n.) 三角尺 Vocabulary 6 (Section 6.6 Three-Dimensional Figures) three-dimensional 三維的 立體的 cylinder (n.) 圓柱體 prism (n.) 稜柱 柱體 cone (n.) 圓錐體 pyramid (n.) 錐體 sphere (n.) 球體 polyhedron (n.) 正多面體 A hexagonal prism has 8 faces. In science lesson, we use measuring cylinders to measure the volume of water. Vocabulary 7 (Section 6.7 Cross-section of Solids) solid (n.) 固體 cross-section (n.) 橫切面 Any cylinder has a uniform cross-section which is a circle. Ice is the solid state of water. uniform cross-section (n.) 均勻橫切面 Vocabulary 8 (Section D Representation of Simple Solids) sketch (v.) 繪畫 representation (n.) 表示方式 In doing your homework, you have to sketch the graphs using pencil and ruler. Another representation to 12 5 is 12 5.

9 Form 1 Ch. 7 Symmetry and Transformation Vocabulary 1 (Section 7.1 Symmetry) symmetry (n.) 對稱 axis (axes) of symmetry 對稱軸 n-fold rotational symmetry n 重旋轉對稱 symmetric (adj.) 對稱的 rotational symmetry 旋轉對稱 order of rotational symmetry 旋轉對稱重覆次數 reflectional symmetry 反射對稱 centre of rotation 旋轉中心 A rectangle is reflectional symmetric and has four axes of symmetry. A rectangle is also rotational symmetric and the order of rotational symmetry is two. This is not an equilateral triangle because it doesn t look like symmetric. Vocabulary 2 (Section 7.2 Transformation) transformation (n.) transform (v.) image (n.) grid paper 變換, 變形 變換, 變形 影像 格仔紙 translation (n.) translate (v.) upwards (adj.) downwards (adj.) 平移, 翻譯 平移, 翻譯 向上 向下 reflection (n.) reflect (v.) mirror (n.) rotation (n.) 反射 反射 鏡 旋轉 rotate (v.) clockwise (adj.) anti-clockwise (adj.) enlargement (n.) 旋轉 順時針方向 反時針方向 放大 enlarge (v.) reduction (n.) reduce (v.) scale factor (n.) 放大 縮小 縮小 放大率 The robot is transformed to a car! We can see our image in the mirror. The spider is moving upwards along the wall. To open the door, you should insert the key and then rotate it clockwise. We may enlarge a picture by using computer software. Can you translate this article from Chinese to English?

10 Form 1 Ch. 8 Areas and Volumes (I) Vocabulary 1 (Section 8.1 Area of Simple Polygons) area (n.) 面積 parallelogram (n.) 平行四邊形 upper base (n.) 上底 triangle (n.) 三角形 trapezium (n.) 梯形 lower base (n.) 下底 square (n.) 正方形 height altitude (n.) 高 method of sub-dividing 分割法 By finding the areas, we can know which 2D figure is larger in size. A rectangle can be cut into two equal triangles. Parallelogram has two pairs of parallel sides. Trapezium has a pair of parallel sides. rectangle (n.) 長方形 base (n.) 底 method of filling-up 填補法 Vocabulary 2 (Section 8.2 Prisms) prism (n.) 柱體 稜柱 volume (n.) 體積 capacity (n.) 容量 cube (n.) cuboid Rectangular pentagonal prism (n.) 正方體 prism (n.) 長方體 五角柱體 end face Base (n.) base area (n.) height (n.) 底面 底面積 高 total area of lateral total surface area (n.) perimeter (n.) faces (n.) 側面面積 總表面面積 周界 triangular prism (n.) 三角柱體 hexagonal prism (n.) 六角柱體 lateral face (n.) 側面 depth (n.) 深度 By finding the volume, we can know which 3D figure is larger in size. Capacity of a container is equal to the volume of water that it can contain. The base of a triangular prism is a triangle. Base area can be used to find the volume and the total surface area of a prism.

11 Form 1 Ch. 9 Congruence and Similarity Vocabulary 1 (Section Congruent Triangles) congruent (adj.) 全等 condition (n.) 條件 hypotenuse (n.) 斜邊 congruence (n.) 全等 corresponding angles (n.) 對應角 corresponding sides (n.) 對應邊 prove show (v.) included angle (n.) included side (n.) 證明 夾角 夾邊 If ABC XYZ, the corresponding angle of A is X, and the corresponding side of BC is YZ. In ABC, A is the included angle of AB and AC because AB and AC are the adjacent sides of A. Vocabulary 2 (Section Similar Triangles) similar (adj.) 相似 proportional (adj.) 符合 ( 正 ) 比例 similarity (n.) 相似 ratio (n.) 比率 3 sides proportional 三邊成比例 included angle (n.) 夾角 The thickness of notes is proportional to the number of pages. 3 and 6 are in the same ratio as 5 and 10. ratio of 2 sides, inc. 兩邊成比例且夾角 相等

12 Form 1 Ch. 10 Introduction to Coordinates Vocabulary 1 (Section 10.1 Introduction to Ordered Pairs Section 10.2 Rectangular Coordinate System) ordered pair (n.) 序偶 y-axis (n.) y 軸 quadrant (n.) 象限 coordinates (n.) 坐標 x-coordinate (n.) x 坐標 lie on ( 某點 ) 位於 ( 某線 ) rectangular coordinates System (n.) 直角坐標系統 y-coordinate (n.) y 坐標 intersect (v.) 相交 x-axis (n.) x 軸 origin (n.) 原點 point of Intersection (n.) 相交點 We can tell the location of a certain point by using rectangular coordinates. If A lies on the x-axis, then its y-coordinate is 0. Vocabulary 2 (Section 10.3 Distance between Two Points) distance (n.) 距離 horizontal line (n.) 水平線 vertical line (n.) 垂直線 The distance of (2, 10) from the x-axis is 10. Horizontal lines and vertical lines are always perpendicular. Vocabulary 3 (Section 10.4 Areas of Plane Figures) area (n.) 面積 trapezium (n.) 梯形 base (n.) 底 height (n.) 高 perimeter (n.) 周界 parallelogram (n.) 平行四邊形 Vocabulary 4 (Section 10.5 Transformations of Points on the Coordinates Plane) transformation (n.) transform (v.) 變換 downwards (adv.) 向下 clockwise (adv., adj.) 順時針方向 image (n.) 影像 reflection (n.) reflect (v.) 反射 translation (n.) translate (v.) 平移 rotation (n.) rotate (v.) 旋轉 Moving (2, 10) downwards by 3 units, it becomes (2, 7). Mirror reflects light so you can see your image on it. upwards (adv.) 向上 Vocabulary 5 (Section 10.6 Polar Coordinates System) polar coordinates (n.) 極坐標 pole (n.) 極點 pole axis (n.) 極軸 anti-clockwise (adv., adj.) 逆時針方向 polar angle (n.) 極角 The principle of polar coordinates is to tell the location of a point by talking about its distance and direction from the origin

13 Form 1 Ch. 11 Angles related to Lines Vocabulary 1 (Section 11.1 Angles related to Intersecting Lines) straight line 直線 angle (n.) 角 adjacent angles 鄰角 angles at a point 同頂角 vertically opposite angles 對頂角 bisect bisection 平分 ( 成為兩半 ) unknown (n.) (adj.) 未知數 未知的 intersect at A 相交於 A 點 The straight lines AB and CD intersect at E. Vocabulary 2 (Section 11.2 Angles related to Parallel Lines) parallel (adj.) 平行 corresponding angles 對應角 alternate angles 交錯角 interior angle on the supplementary (adj.) produce (v.) same side 同旁內角 互補成 180 延長直線 生產 interior angle 內角 meet AB at C 與直線 AB 在 C 點相遇 The vertical lines are always parallel. Sum of interior angles of a triangle is one hundred and eighty degrees. Vocabulary 3 (Section 11.3 Identifying Parallel Lines) prove show (v.) 證明 Peter proved his ability in mathematics by his examination result. If you want to show that AB is parallel to CD, you should use corr. s equal but not corr. s, AB CD.

14 Form 1 Ch. 12 Manipulation of Simple Polynomials Vocabulary 1 (Section 12.1 Laws of Positive Integral Indices) law (n.) 法則 cube (n.) 立方 integral (adj.) 整數的 simplify (v.) 化簡 index indices (n.) 指數 expression (n.) 數式 2 The index of x in x is 2. 2x 5 is an expression. There is no integral answer for 2x 1 0. Vocabulary 2 (Section 12.2 Monomials) monomial (n.) 單項式 degree power (n.) 次數 ( 指數 ) variable (n.) 變數 代數 coefficient (n.) 係數 2 4x is a monomial where x is a variable and 4 is the coefficient. Vocabulary 3 (Section 12.3 Polynomials) polynomial (n.) 多項式 ascending (adj.) 由小至大 constant term (n.) 常數項 sum (n.) 和 ( 加法的答案 ) descending (adj.) 由大至小 like term (n.) 同類項 term (n.) 項 term (n.) 項 unlike term (n.) 異類項 square (n.) 平方 numerical (adj.) 數字的 substitute (v.) 代入 constant (adj., n.) 常數 ( 不會改變的數 ) combine (v.) 合併 2 The polynomial x 5x 6 is arranged in ascending powers of x. 2 The polynomial x 5x 6 has 3 terms and 6 is the constant term. We can combine 5x and 2x to become 7x by addition. Vocabulary 4 (Section 12.4 Addition and Subtraction of Polynomials) addition (n.) subtraction (n.) column form (n.) bracket (n.) 加法 減法 直式 括號 If we do not have calculator, we could calculate by column form. In the subtraction (4x 1) (3x 7), we should break the brackets in the first step. Vocabulary 5 (Section 12.5 Multiplication of Polynomials) multiplication (n.) product (n.) expand (v.) 乘法 積 ( 乘法的答案 ) 展開 We have 2x 10 after expanding 2( x 5). The answer of multiplication is called product.

15 Form 1 Ch. 13 Introduction to Various Stages of Statistics Vocabulary 1 statistics (n.) stage (n) collect (v.) questionnaire (n.) 問 統計 統計數字 階段 收集 卷 record (v.), (n.) organize (v.) charts (n.) graphs (n.) 記錄 組織 統計圖 圖 represent (v.) analyze (v.) conclusion (n.) observe (v.) 表示 分析 結論 觀察 search (v.) interview (v.), (n.) tally (n.) frequency (n.) 搜尋 訪問 劃記 頻數 distribution (n.) discrete data continuous data 分佈 離散數據 連續數據 We can know the distribution of family income in Hong Kong from statistics. We can understand the statistics easily by reading charts. I am going to organize a birthday party for my sister. Mr. Wong interviewed five F.1 students to understand their difficulties in learning mathematics. If you want to know the number of people in Hong Kong in 2012, you could search from the webpage of Census and Statistics Department.

16 Form 1 Ch. 14 Simple Statistical Diagrams and Graphs (I) Vocabulary 1 (Section 14.1 Simple Statistical Diagram) statistical diagram 統計圖 statistical chart 統計圖 bar chart (n.) 棒形圖 horizontal axis (n.) 橫軸 vertical axis (n.) 縱軸 description (n.) 描述 describe (v.) 描述 most (adv., adj.) 最 大部分 greatest number of 最多的 largest number of 最多的 maximum (n.)(adj.) 最大值 最大的 peak (n.) 最高峰 ( 人數最多 ) least (adv., adj.) 最少 最小 fewest (adj.) 最少 minimum (n.)(adj.) 最小值 最小的 bottom out 達至最低潮 rare (adj.) 罕有的 rarest (adj.) 最少的 rarely (adv.) 罕有地 popular (adj.) 受歡迎的 unpopular (adj.) 不受歡迎 favorite (adj.) 喜愛的 second most 第二最 among 在 之中 whereas (conj,) 反而 sale figure 銷售數字 broken-line graph (n.) 折線圖 trend (n.) 趨勢 pie chart (n.) 圓形圖 sector (n.) 扇形 proportional (adj.) 成比例 The teacher describes the meaning of triangle by drawing a diagram. Most students in Hong Kong know English. The temperature reaches at peak in August. My mother asks me to score at least 60 marks in the examination. My mathematics teacher rarely make calculation mistake. His football skill is the best among his classmates. Usually, body weight is proportional to the body height. Vocabulary 2 (Section 14.2 Stem-and-Leaf Diagrams) stem-and-leaf diagram (n.) 幹葉圖 stem (n.) 幹 leaf (n.) 葉 back-to-back stem-and-leaf diagram (n.) 背靠背幹葉圖 Stem-and-leaf diagram looks like a bar chart and it shows more details. Vocabulary 3 (Section 14.3 Histogram - Section 14.4 Scatter Diagrams) histogram (n.) 組織圖 class interval (n.) 組區間 class limit (n.) 組限 class boundary (n.) 組界 class mark (n.) 組中點 class width (n.) 組距 scatter diagram (n.) 散點圖 positive relationship (n.) 正相關關係 negative relationship (n.) 負相關關係 (n.) 無明顯關係 There is no obvious relationship between body weight and IQ. Class mark is the mid-point of upper class limit and lower class limit. no obvious relationship

17 Form 2 Ch. 1 Rate and Ratio Vocabulary 1 (Revision: about money) amount (n.) 金額 earn (v.) 賺取 cost (v.) 需支付 錢 expenditure (n.) income (n.) pay, spend, spent (v.) 支出 收入 付出 price (n.) salary (n.) sell, sold (v.) 價錢 薪金 賣 requirement(n.) pocket money (n.) 需求 零用錢 cost (n.) 價值, 成本 payment(n.) 付款 needed, required (adj.) 所需的 Amount that Peter spends on soft drinks = 5 4 = $20 Amount spent on soft drinks = 5 4 = $20 Amount needed to buy soft drinks = 5 4 = $20 Peter s expenditure on soft drink = 5 4 = $20 The costprice of soft drink = 5 4 = $20 Vocabulary 2 (Revision: about time) spend, spent (v.) 付出 at the beginning 最初 old (adj.) 舊的, 以前的 new (adj.) annual, annually (adj., monthly (adj., adv.) 新的 adv.), yearly (adv.) 每年 每月 daily (adj.) century (n.) minute (n.) 每日 世紀 分鐘 Original, originally (adj., adv.) 原來的 weekly (adj., adv.) 每週 second (n.) 秒 Time spent on doing homework = 2 30 = 60mins Time needed = 2 30 = 60mins Peter s monthly income = = $300 Peter s annual income = = $3600 Vocabulary 3 (Revision: about quantity) a piece of 一件, 一塊, 一張 on average 平均地 a pair of 一對 dozen (n.) 打 ( 十二個 ) each (adj.) 每個 greatest, maximum 最大的 (adj.) per (adj.) 每個 smallest, minimum 最小的 (adj.) Price of each apple = = $2 Price per apple = = $2 Price of a dozen of apples = 2 12 = $24 maximum 2-digit number = 99 minimum 2-digit number = 10

18 Vocabulary 4 (Section 1.1 Rates) rate (n.) 率 unit (n.) 單位 expression (n.) speed (n.) 表示方式 速度 express in (v.) 以 表示 The rate of selling shoes is 160 pairsday. Express the rate of selling shoes in unit of pairsday. The speed of this car is 200 kmh. Vocabulary 5 (Section 1.2 Ratios) ratio (n.) 比 respectively (adv.) 各自地 amount (n.) 數量 quantity quantities (n.) 數量 The ratio of the monthly salaries of Mr Ho and Mrs Ho is 4 : 3. The amount of coins in this bag is 100. The respective amounts that Peter and Mary spent are $100 and $120. Vocabulary 6 (Section 1.3 Applications of Ratios) application (n.) 應用 similar figure 相似圖形 shape (n.) 形狀 size (n.) 大小 corresponding (adj.) 對應的 enough (adj.) 足夠的 notation (n.) 符號 scale (n.) 比例 map (n.) 地圖 actual real,actually (adj.adv) 實際的 地 real object 實際物件 The classroom is in rectangular shape. The actual size of this classroom is 480 m 2. The corresponding areas of room A and room B are 300 m 2 and 480 m 2. The scale of the map is 1 :

19 Form 2 Ch. 2 Identities and Factorization Vocabulary 1 (Section 2.0 Manipulation of Simple Polynomials) manipulation (n.) 運算 horizontal form 橫式 descending (adj.) 由大至小 polynomial (n.) 多項式 column form 直式 ascending (adj.) 由小至大 term (n.) 項 simplify (v.) 化簡 constant term 常數項 expand (v.) expansion (n.) 展開 2 2x 5x 1 is an example of polynomial. 2 2x 5x 1 is a polynomial having three terms. If we do not have calculator, we could calculate by column form. We have 2x 10 after expanding 2( x 5). Vocabulary 2 (Section 2.1 Meaning of Identities) equation (n.) 方程 identity (n.) 恆等式 variables (n.) 變數 satisfy (v.) 滿足, 符合 constant (n., adj.) 常數 不會改變的 LHS = left hand side 左方 RHS = right hand side compare (v.) 比較 數 右方 like terms 同類項 unlike terms 異類項 x x 2x is an identity but x x x 1 isn t. x is the variable in 4x 6. 4 does not satisfy x 2x 1 x x 2 so x 2x 1 x x 2 is not an identity. 6 is a constant in 4x 6. If 3x + 2 Ax + B, by comparing the LHS and RHS, we have A = 3 and B = 2. Vocabulary 3 (Section 2.2 Factorization of Simple Algebraic Expressions) factorize (v.) factorization (n.) 因式分解 common factor 公因數 公因式 algebraic expression 代數式 We have 2( x 5) after factorizing 2x is a common factor of 15 and 18. 3a is a common factor of 6ab and 9ac. factor (n.) 因子 因式

20 Form 2 Ch. 3 Algebraic Fractions and Formulas Vocabulary 1 (Section 3.1 Manipulation of Simple Algebraic Fractions) manipulation (n.) 運算 numerator (n.) 分子 expand a fraction 擴分 fraction (n.) 分數 denominator (n.) 分母 algebraic fraction 代數分式 lowest common factor (LCM) 最小公倍數 Addition is one kind of the manipulations. 2x 4 x 1 is an algebraic fraction, where (2x + 4) is the numerator and (x + 2) is denominator. Before evaluating 1 2, we should expand and 2 5 to 5 15 and 6 15 respectively. Vocabulary 2 (Section 3.2 Formulas and their Manipulations) formula (n.) 公式 subject (n.) 主項 substitute (v.) 代入 consider (v.) 考慮 A is the subject of the formula ( u v) h A. 2 After substituting x = 3 into the formula y = x + 5, we have y = 7. By considering the angle sum of triangle, we see that it is impossible to have two obtuse angles in a triangle.

21 Form 2 Ch. 4 More about Factorization of Polynomials Vocabulary 1 (Section 4.1 Factorization of Cross-method) factorization (n.) 因式分解 cross-method (n.) 十字相乘法 factorize (v.) 因式分解 trial (n.) 試驗 factor (n.) 因式 因子 (x + 1) is a factor of x 2 3x 2 because 2 x x x x 3 2 ( 2)( 1). 2 To factorize x 6x 9, we can use cross-method or the identity in chapter 2. 2 After three trials, we see that x 5x 6 ( x 2)( x 3). Vocabulary 2 (Section 4.2 Sum and Difference of Two Cubes) cube (n.) 立方 三次方 Cube of 5 means is the cube of 3 because = 27.

22 Vocabulary 1 (Revision) actual value 真確值 approximate estimate (v.) 估 計 measure (v.) 量度 decimal place 小數位 Form 2 Ch. 5 Approximation and Errors accurate accurately (adj.adv.) 準確的 地 estimation (n.) 估計 measured value 量度值 correct to the nearest 準確至最接近的 approximation approximate value 近似值 round off 四捨五入 measurement (n.) 量度 When taking approximation to the actual value ml correct to the nearest ml, the approximate value is 50 ml. When rounding off correct to 1 decimal place, the approximate value is 3.7. Vocabulary 2 (Section 5.1 Significant Figures) significant figure 有效數字 average (adj.) 平均數 speed (n.) 速度 When rounding off correct to 1 significant figure, the approximate value is 4. Peter s average running speed is 36 ms. Vocabulary 3 (Section 5.2 Errors) error (n.) 誤差 scale interval 刻度間距 minimum (adj., n.) 最小值 possible (adj.) 可行 可能發生的 absolute error 絕對誤差 maximum absolute error 最大絕對誤差 maximum (adj., n.) 最大值 close closer to 接近 較接近 lower limit 下限 最小值 relative error 相對誤差 accurate (adj.) 準確的 upper limit 上限 最大值 percentage error 百分誤差 The scale interval of this ruler is 1 mm. The possible value of the length of this paper ranges from 1.15 cm to 1.25 cm. Compared with the value 1.2, the value 1.1 is closer to 1.

23 Form 2 Ch. 6 Angles related with Lines and Rectilinear Figures Vocabulary 1 (Section 6.0 Revision) angle (n.) 角 parallel lines 平行線 degree (n.) 度 adjacent angle 鄰角 corresponding angle 對應角 theorem (n.) opposite angle 對角 alternate angle 錯角 vertically opposite angle 對頂角 interior angle 內角 定理 By using the theorem in this chapter, we know that the sum of interior angles of a triangle is one hundred and eighty degrees. Vocabulary 2 (Section 6.1 Angles and Sides of a Triangle) related to 關於 的 meet (v.) 相交, 遇上 proof (n.) 證明 Opposite opposition (adj. n.) angle sum of triangle 三角形內角和 join (v.) 連結 isosceles triangle 等腰三角形 determine (v.) 判斷 exterior angle 外角 prove (v.) 證明 property properties (n.) 特 性 Whether if (conj.) 是否 Produce production (v. n.) 延長 生產 show (v.) 證明 equilateral triangle 等邊三角形 Bisect bisection (v. 對面的平分 ( 分成兩等份 ) This chapter is related to geometry. By using a ruler, we can determine whether the length of this line is longer than 8 cm. A property of square is that it has four right angles. John proves his ability in mathematics through the examination. In square ABCD, if we join AC, then the square is divided into two right-angled triangles. Produce a line elongated from the base of this triangle BC to meet a point D. In this square, the side AB is opposite to another side CD. Vocabulary 3 (Section 6.2 Angles of Polygon) polygon (n.) 多邊形 hexagon (n.) 六邊形 regular polygon 正多邊形 concave polygon 凹多邊形 triangle (n.) 三角形 heptagon (n.) 七邊形 interior angle 內角 quadrilateral (n.) 四邊形 octagon (n.) 八邊形 exterior angle 外角 Vocabulary 4 (Section 6.3 Tessellation) tessellation (n.) tessellate (v.) combination (n.) n.) pentagon (n.) 五邊形 n-sided polygon n 邊形 convex polygon 凸多邊形 Combine (v.) 密鋪平面密鋪平面組合合併 The design of this table comes from the combination of the ideas of both France and Japanese designers.

24 Form 2 Ch. 7 Simple Statistical Diagrams and Graphs(II) Vocabulary 1 (Section 7.1 Frequency Distribution and its Graphical Representation) statistics (n.) 統計 統計學 class interval (n.) 組區間 class mark (n.) 組中點 histogram (n.) 組織圖 horizontal axis 橫軸 cumulative frequency 累積頻數 cumulative frequency curve 累積頻數曲線 upper quartile frequency (n.) 頻數 class limit (n.) 組限 class width (n.) 組距 frequency polygon 頻數多邊形 vertical axis 縱軸 cumulative frequency table 累積頻數表 median (n.) 中位數 percentile (n.) frequency distribution table 頻數分佈表 class boundary (n.) 組界 bar chart (n.) 棒形圖 frequency curve 頻數曲線 cumulative (adj.) 累積 cumulative frequency polygon 累積頻數多邊形 lower quartile 下四分位數 in general 上四分位數百分位數整體來說 From the statistics provided by the government, there were new born babies in Hong Kong in For a class with class interval 21 cm - 30cm, the class boundaries are 20.5 cm and 30.5cm and the median is (21+30)2 = 25.5 cm In histogram and frequency polygon, the vertical axis always represents frequency. In the 1st term mathematics examination, the lower quartile, the median and the upper quartile of the scores of F.2 students were 52, 63 and 78 respectively. In general, F.2 students commit less calculation mistake than F.1 students. Vocabulary 2 (Section 7.2 Choosing an Appropriate Diagram to Present Data) appropriate (adj.) 適當 diagram (n.) 圖表 present (v.) 表達 Vocabulary 3 (Section 7.3 Abuses of Statistical Diagrams) abuse (n.) 濫用

25 Form 2 Ch. 8 Linear Equations in Two Unknowns Vocabulary 1 (Section 8.1 Linear Equation in Two Unknowns and their Graphs) equation (n.) 方程 linear equation (n.) 線性方程 unknown (n.) 未知數 graph (n.) 圖像 lie on pass through satisfy (v.) 位於 上 穿過 符合 (2, 5) lies on the graph of y x 3. The graph of y x 3 passes through (2, 5). There are two unknowns in the equation y 3x 4. Vocabulary 2 (Section 8.2 Simultaneous Linear Equations in Two Unknowns and their Solutions) simultaneous equation 聯立方程 solution (n.) 解 答案 graphical method 圖解法 algebraic method 代數方法 substitution (n.) substitute (v.) elimination (n.) eliminate (v.) 代入法 代入 消元法 ( 消除代數 ) 消元 ( 消除代數 ) constant (n.) 常數 ( 不變的數 ) intersection point 相交點 The solutions of y 2x y x 1 are x = 1 and y = 2. We can solve y 2x y x 1 by graphical method or algebraic method. Substituting x = 5 into y x 1, we have y = 6. Vocabulary 3 (Section 8.3 Applications of Simultaneous Linear Equations in Two Unknowns) respectively (adv.) 各自地 分別地 Let $x and $y be the prices of a watch and a mobile phone respectively. Form 2 Ch. 9 Laws of Integral Indices Vocabulary 1 (Section 9.1 Laws of Positive Integral Indices)

26 law (n.) 法則, 法律 cube (n.) 立方, 立方體 square (n.) 平方, 正方形 integral (adj.) index indices (n.) 整數的指數 power (n.) simplify (n.) 次方化簡 The freedom of speech is protected by the Basic Law in Hong Kong. The square of 5 is 25. Vocabulary 2 (Section 9.2 Zero and Negative Integral Indices) positive index positive indices Negative (adj.) 正指數 負數的 The index of x in 3 x is a negative number. Vocabulary 3 (Section 9.3 Scientific Notation) scientific notation express in (v.) 科學記數法 以 來表示 Peter expresses his feeling in symbols in What's app. Vocabulary 4 (Section 9.4 Different Numeral Systems [Not included in notes] ) numeral Systems 數字系統 hexademical System 十六進制 denary system 十進制 place value 位值 binary system 二進制 convert (v.) 轉換 The place value of 3 in is one hundred. Any number in binary system is formed by the digits of 1 and 0 only.

27 Vocabulary 1 Form 2 Ch. 10 Introduction to Deductive Geometry (Section 10.1 Basic Concept of Deductive Reasoning Section 10.2 Deductive Geometry) introduction (n.) 介紹 introduce (v.) 介紹 deductive (adj.) 演繹, 推論 deduction (n.) 演繹, 推論 deduce (v.) 演繹, 推論 reason (n.), (v.) ( 說明 ) 理由 原因 reasoning (n.) 推理 condition (n.) 條件 conclusion (n.) 結論 conclude (v.) 作出結論 definition (n.) 定義 define (v.) 定義 theorem (n.) 定理 axiom (n.) 公理 Please introduce yourself so that others can know more about you. Her deduction that he was now dead was correct. What is the reason why she is always absent from school? After the discussion, we conclude to go to Shek O for picnic. The condition to enter the school team is to run 100 m within 13 seconds. The club must give a clear definition of its goals. Vocabulary 2 (Section 10.3 Deductive Proofs about Angles related to Line and Triangles) supplementary (adj.) 互補成 180 Vocabulary 3 ( Section 10.4 Deductive Proofs about Congruent, Isosceles and Similar Triangles) hypotenuse (n.) ( 直角三角形上的 ) 斜邊 common side 公共角 similar (adj.) 相似 proportional (adj.) congruent (adj.) 全等 given (adj.) 已知 3 sides proportional 三邊成比例 ratio (n.) common side 公共邊 符合 ( 正 ) 比例比率夾角 It is given that the area of square A is greater than that of square B. The thickness of notes is proportional to the number of pages. 3 and 6 are in the same ratio as 5 and 10. corresponding sides angle 對應邊 角 ratio of 2 sides, inc. 兩邊成比例且夾角相等 included angle

28 Vocabulary 4 ( Section 10.5 Construction Using Compasses and Straight Edge) construct (v.) 構作 straight edge ( 無刻度的 ) 直尺 construction (n.) 構作 angle bisector 角平分線 compass (n.) 圓規 perpendicular bisector 垂直平分線 We can construct a circle by using a compass. A straight edge is a tool for easy construction of a straight line.

29 Form 2 Ch. 11 Rational and Irrational Numbers Vocabulary 1 (Section 11.1 Square Roots and Surds) square (n.) 平方 ( 二次方 ) 正方形 square root 平方根 surd (n.) 根式 calculator (n.) 計算機 evaluate (v.) 計算 The square of 3 is 9. The square root of 9 is 3. A calculator is a useful tool for getting the approximate values of square roots. Vocabulary 2 (Section 11.2 Rational and Irrational Numbers) rational number 有理數 a fraction of integers 分子和分母皆為整數的分數 irrational number 無理數 Rational number can be expressed as an integer or a fraction of integer. Vocabulary 3 (Section 11.3 Manipulation of Surds) manipulation (n.) 運算 manipulate (v.) 運算 simplest surd 最簡根式 square factor 平方數因子 rationalize (v.) 有理化 Rationalization (n.) 有理化 Do you know how to manipulate this calculation?

30 Form 2 Ch. 12 Pythagoras Theorem Vocabulary 1 (Section 12.1 Pythagoras Theorem and its Proof) Pythagoras theorem 畢氏定理 unknown (n.) 未知數 quadrilateral (n.) 四邊形 Right-angled triangle 直角三角形 perimeter 周界 equilateral triangle Hypotenuse 斜邊 proof (n.) 證明 等邊三角形 Pythagoras theorem can be used to find the length of one side of a right-angled triangle if we know the length of its other two sides. The perimeter of an equilateral triangle is equal to 3 times of the length of one of its sides. Vocabulary 2 (Section 12.2 Converse of Pythagoras Theorem) converse of Pythagoras prove (v.) theorem 畢氏定理的逆定理證明等腰三角形 Converse of Pythagoras theorem can be used to prove whether it is a right-angled triangle. isosceles triangle Vocabulary 3 (Section 12.3 Applications of Pythagoras application (n.) 應用 distance (n.) 距離 east 東 (adj.), (n.) prism (n.) 柱體 volume (n.) 體積 horizontal horizontally (adj. adv.) 水平的 north (adj.), (n.) 北 west 西 (adj.), (n.) total surface area 總表面面積 Theorem and its Converse) vertical vertically (adj. adv.) 垂直的 south (adj.), (n.) 南 due north 正北面 lateral faces 側面 This ruler can measure the distance between these two tables in the classroom. The ground was horizontal to the flagpole. The north of the mountain is almost vertical.

31 Form 2 Ch. 13 Areas and Volumes (II) Vocabulary 1 (Section 13.1 Circles) circle (n.) 圓形 circumference (n.) 圓周 significant figure (n.) 有效數字 area (n.) 面積 centre (n.) 圓心 perimeter (n.) 周界 semi-circle (n.) 半圓形 square root (n.) 開方根 diameter (n.) 直徑 pi (n.) 圓周率 wheel (n.) 車輪 radius radii (n.) 半徑 decimal place 小數位 revolution (n.) 圈 ( 因旋轉而形成 ) The perimeter of a circle is called circumference. Pi is approximately equal to We can measure distance travelled by a car if we count the number of revolution of a wheel. Vocabulary 2 (Section 13.2 Arcs and Sectors) arc (n.) sector (n.) 弧 扇形 A sector is bounded by an arc and two radii. An arc is a part of circumference. Vocabulary 3 (Section 13.3 Cylinders) cylinder (n.) 圓柱體 cylindrical (adj.) 圓柱體狀的 base (n.) 底 volume (n.) 體積 capacity (n.) 容量 depth (n.) 深度 outer (adj.) 外層的 inner (adj.) 內層的 thickness (n.) 厚度 tank (n.) 桶 rate (n.) 率 速度 curved surface area 曲面面積 total surface area 總表面面積 The capacity of a bottle means the maximum volume of water that can be filled in the bottle. The thickness of this wall is 5 cm. The outer layer of the bag is made of leather and its inner layer is made by plastic. The rate of printing is 10 pages per minute for this printer. This tank is full of oil.

32 Form 2 Ch. 14 Trigonometric Ratios Vocabulary 1 (Section 14.1 Introduction to Trigonometric Ratios) right-angle (n.) 直角 theta (n.) θ ( 代數符號 ) adjacent side 鄰邊 trigonometric ratio 三角比 opposite side 對邊 hypotenuse (n.) 斜邊 Hypotenuse is the longest side in a right-angled triangle. By using trigonometric ratio, we can find the length of unknown side in a right-angled triangle. Vocabulary 2 ( Section 14.2 Sine Ratio Section 14.3 Cosine Ratio Section 14.4 Tangent Ratio ) sine (n.) 正弦 cosine (n.) 餘弦 tangent (n.) 正切 calculator (n.) 計算機 if necessary, 如有需要 Sine is the ratio between the opposite side and hypotenuse in a right-angled triangle. The short forms of sine, cosine and tangent are sin, cos and tan respectively. You may obtain an integer or a decimal number in your answer. If necessary, please give your answer correct to 1 decimal place. Vocabulary 3 (Section 14.5 Simple Applications of Trigonometric Ratios) application (n.) trapezium (n.) 應用 梯形 One of the applications of trigonometric ratio is to calculate the height of a building. Vocabulary 4 (Section 14.6 Trigonometric Ratios on a Unit Circle) unit circle x-coordinate y-coordinate 半徑長度為 1 單位的圓形 x- 坐標 y- 坐標 Unit circle is a circle with radius 1 unit.

33 Form 3 Ch. 1 Linear Inequalities in One Unknown Vocabulary 1 (Section 1.1 Basic Concept of Inequalities, Section 1.2 Basic Properties of Inequalities) inequality (n.) 不等式, 不平等 less than smaller than inequality sign (n.) 不等式的符號 exceed (v.) 超過, 大於 equation (n.) 方程 represent (v.) 代表 greater than larger than more than 大於, 多於 graphically (adv.) 運用圖像 小於, 少於 We must change the direction of the inequality sign when multiplying a negative number to the both sides of an inequality. The total score of an exam paper should not exceed 100 marks. Wong Kam Po represented Hong Kong to take part in the bicycle competitions in the Olympic Games Vocabulary 2 (Section 1.3 Linear Inequalities in One Unknown) satisfy satisfies (v.) 滿足, 符合 integer (n.) 整數 largest possible 最大可能的 positive (adj.) 正數的 negative (adj.) 負數的 maximum (adj.), (n.) 最大的 minimum (adj.), (n.) 最小的 consecutive numbers 連續數 5, 6 and 7 are consecutive numbers while 5, 7 and 9 are consecutive odd numbers. Any positive number x must satisfy the inequality x 0.

34 Form 3 Ch. 2 Percentages (II) Vocabulary 1 (Section 2.1 More about Percentages Increase and Decrease) percentage (n.) 百分數 percentage change 百分變化 is increased by 增加了 salary (n.)...per cents 百分之... current (adj.) 現在的 successive (adj.) 連續的 expenditure (n.) amount (n.) 金額, 本利和 currently (adv.) 現在 overall (adj.) 整體的 original (adj.) 原來的, 本來的 is increased to 增加至 income (n.) 收入 薪金 支出 Tom s salary is $10000 currently and will be increased by 5 per cents to $10500 next year. This football team loses their confident after a few successive defeats. David did not do very well in the mathematics examination but his overall result was the best in F.3. It is important to make sure your expenditure is less than your income. Vocabulary 2 (Section 2.2 Increase or Decrease at a Constant Rate) constant rate 固定的速度 decay factor growth factor 增長因子 depreciate (v.) 貶值 衰變因子 The price of iphone depreciates at a constant rate in these months. Vocabulary 3 (Section 2.3 Interest) interest (n.) 利息, 興趣 interest rate 利率 amount (n.) 本利和, 金額 compounded monthly simple interest 單利息 per annum 每年 compounded yearly 每年計息一次 deposit (v.) compound interest 複利息 annually (adv.) 每年 compounded half-yearly 每半年計息一次 depreciation (n.) 折舊, 衰退 principal (n.) 本金, 校長 annual (adj.) 全年的 compounded quarterly 每季計息一次 每月計息一次存款 We can gain only little interest by depositing money in a bank because the interest rate is very low. Joseph is a rich man because his annual income exceeds two million dollars. Vocabulary 4 (Section 2.4 Taxation) rates (n.) 差餉 rental income rateable value 應課差餉租值 salaries tax property tax 物業稅 tax allowance rent (n.) (v.) 租金 net chargeable income 租金收入 薪俸稅 免稅額 應課稅入息 If you have rent out your property, then you have to pay property tax. The higher the salary, the more salaries tax you have to pay.

35 Form 3 Ch. 3 Special Lines and Centres in a Triangle Vocabulary 1 (Section 3.1 Important Lines in a Triangle) angle bisector 角平分線 median (n.) 中線 altitude (n.) 高線 perpendicular bisector 垂直平分線 vertex (n.) 頂點 bisect (v.) 平分 ( 分成兩等份 ) perpendicular (adj.) 垂直 ( 相交成 90 ) lines Another name of altitude in triangle is height. Angle bisector, median, altitude and perpendicular bisector are always the same in equilateral triangles. Point B lying on AC bisects the line AC so that AB is 4 cm and BC is also 4 cm. Vocabulary 2 (Section 3.2 Relationship among the Three Sides of a Triangle) relationship (n.) inequality (n.) triangle inequality 關係 不等式 三角不等式 Peter has a very good relationship with his classmates. Vocabulary 3 (Section 3.3 Centres of a Triangle) centre (n.) 中心 point of intersection 相交點 incentre (n.) 內心 inscribed circle 內切圓 circumcentre 外心 circumscribed circle 外接圓 centroid 形心 orthocentre 垂心 The centre of a rectangle is the point of intersection of its diagonals. Inscribed circle of triangle is the circle that touches the three sides of the triangle.

36 Form 3 Ch. 4 Quadrilaterals Vocabulary 1 (Section 4.0 Revision) angle (n.) 角 isosceles triangle 等腰三角形 exterior angle 外角 right-angle (n.) 直角 equilateral triangle 等邊三角形 congruent triangles parallel (adj.) 平行 polygon (n.) 多邊形 similar triangles intersecting line 相交的線 interior angle 內角 corresponding (adj.) 全等三角形相似三角形對應的 If triangle ABC is congruent to triangle DEF, then angle A is corresponding to angle D. Vocabulary 2 (Section 4.1 Quadrilaterals, Section 4.2 Parallelogram) quadrilateral (n.) 四邊形 diagonal (n.) 對角線 parallelogram (n.) 平行四邊形 bisect (v.) opposite side 對邊 opposite angle 對角 平分 ( 分成兩等份 ) In the parallelogram ABCD, AB and CD are opposite sides and AC is a diagonal. The length of diagonal of a square can be found by Pythagoras Theorem. Vocabulary 3 (Section 4.3 Rectangles, Squares, Rhombus, Trapeziums and Kites) rectangle (n.) 長方形 right-angled trapezium square (n.) 正方形 isosceles trapezium rhombus (n.) 菱形 kite (n.) trapezium (n.) 梯形 adjacent side 直角梯形 等腰梯形 鳶形 ( 鷂形 ) 鄰邊 Square is a special type of rectangle. We can divide a rhombus into four congruent triangles by drawing the diagonals. Vocabulary 4 (Section 4.4 Simple Proofs related to Parallelograms) prove (v.) 證明 proof (n.) 證明 perpendicular (adj.), (n.) 垂直 ( 相交成 90 ) sides opp. equal s can be used to prove two sides to be equal in length. Vocabulary 5 (Section 4.5 mid-pt. theorem, Section 4.6 intercept theorem) mid-point (n.) 中點 mid-point theorem 中點定理 intercept (n.) 截距 intercept theorem 截線定理 Sai Wan Ho is the mid-point between Shau Kei Wan and Tai Koo.

37 Form 3 Ch. 5 More about 3-D Figures Vocabulary 1 (Section 5.0 Revision) symmetric (adj.) 對稱的 symmetry (n.) 對稱 reflectional symmetry 反射對稱 axis (axes) of symmetry 對稱軸 rotational symmetry 旋轉對稱 order of rotational symmetry 旋轉一圈的重複次數 All rectangles have reflectional symmetry. Rhombus has 2 axes of symmetry. Vocabulary 2 (Section 5.1 Symmetries of Solids) solid (n.) planes of reflection cube (n.) axis of rotational 固體 立體 反射 ( 對稱 ) 平面 正方體 立方體 symmetry 旋轉對稱 軸 Vocabulary 3 (Section 5.2 Nets of Solids) net (n.) 摺紙圖樣 fold (v.) ( 把圖樣 ) 摺成... coincide (v.) 重疊 Folding a rectangle along the axis of symmetry, the two halves coincide. Vocabulary 4 (Section D Representation of Solids) represent (v.) 代表 representative (n.) 代表 representation (n.) 表達方式 orthographic views 三視圖 Peter is the subject representative of mathematics. We represent the number of apples by x so that we can set up the equation 3x + 40 = 61. Vocabulary 5 (Section 5.4 Points, Lines and Planes in Solids) projection (v.) 投影 plane (n.) 平面 horizontal plane 水平面 vertical plane 垂直面 intersection line 相交線 Vocabulary 6 (Section 5.5 More about Solids) polyhedron (n.) 多面體 face (n.) 面 octahedron (n.) 八面體 polygon (n.) 多邊形 regular polyhedron 正多面體 dodecahedron (n.) vertex, vertices (n.) 頂點 regular polygon 正多邊形 icosahedron (n.) 十二面體二十面體 Polyhedron is a 3-D object whose faces are polygon. Form 3 Ch. 6 Measures of Central Tendency edge (n.) 邊 tetrahedron (n.) 四面體

38 Vocabulary 1 (Section 6.1 Introduction to Central Tendency, Section 6.2 Arithmetic Means) central tendency 集中趨勢 datum (n.) average (n.) 平均值 data (n.) arithmetic mean 算術平均數 frequency (n.) mean (n.), (adj.) 算術平均數 class mark ( 一個 ) 數據 ( 多個 ) 數據頻數, 數量組中點 The government wants to know the average income of the families in Hong Kong so they collect data by doing a survey. Vocabulary 2 (Section 6.3 Medians) median (n.) 中位數 odd number 單數 even number 雙數 The median score of our class is 68 marks so half of our classmates scored higher than or equal to 68 marks in the test. Vocabulary 3 (Section 6.4 Modes and Modal Classes) mode (n.) 眾數 modal class 眾數組 Vocabulary 4 (Section 6.5 Comparing Different Types of Averages Section 6.6 Misuses of Averages and Consequences of Misuses) compare (v.) 比較 comparison (n.) 比較 reflect (v.) 反映 suitable (adj.) 適合 extreme value 極端的數值 affect (v.) 影響 misuse (v.), (n.) 誤用 We can compare the performance of F.1A and F.1B in the test by finding their mean and median scores. The median height of F.1A is 1.7 m. It reflects that F.1A students are very tall. Vocabulary 5 (Section 6.6 Further Investigation on Averages) remain (v.) 保持 unchanged (adj.) 不變 Although he has been on diet for a week, his weight remains unchanged. Vocabulary 6 (Section 6.7 Weighted Mean) weighted mean 加權平均數 weight (n.) 權 比重

39 Form 3 Ch. 7 Areas and Volumes (III) Vocabulary 1 (Section 7.1 Pyramids) area (n.) 面積 volume (n.) 體積 pyramid (n.) 棱錐, 金字塔 height (n.) right pyramid regular pyramid 高 直立棱錐 正棱錐 frustum (n.) upper base lower base 平截頭體 上底 下底 base area 底面積 slant edge 斜棱 lateral face 側面 The pyramids are tourism hotspots in Egypt. Vocabulary 2 (Section 7.2 Circular Cones) cone (n.) 圓錐 conical (adj.) 圓錐形的 circular (adj.) 圓形的 cylindrical (n.) base radius slant height 圓柱形的 底半徑 斜高 recast (v.) curved surface area total surface area 重新鑄成 曲面面積 總表面面積 cylinder (n.) 圓柱體 melt (v.) 熔化 capacity (n.) 容量 I want a cone of chocolate ice-cream rather than a cup of that. The bottle is in a cylindrical shape. Metal melts in high temperatures. The capacity of the bottle is 2.5 L. Vocabulary 3 (Section 7.3 Spheres) sphere (n.) hemisphere (n.) solid (n.), (adj.) 球體 半球體 固體, 實心的 The shape of a basketball is a sphere, not a circle. Vocabulary 4 (Section 7.4 Formulas for Lengths, Area and Volumes) Vocabulary 5 (Section 7.5 Similar Shapes) dimension (n.) 維, 尺寸 similar shapes 相似形狀 The dimensions of the television are 120 cm 50 cm 30 cm.

40 Form 3 Ch. 8 Coordinate Geometry of Straight Lines Vocabulary 1 (Section 8.1 Distance between any two points, Section 8.2 Slope of a Straight Line, Section 8.3 Parallel and Perpendicular Lines) coodinates (n.) 坐標 distance 距離 collinear (adj.) 在同一直線上 inclination (n.) 傾角 x-axis x 軸 horizontal line 水平線 lie on 位於 steep (adj.) 傾斜的, 陡峭的 y-axis y 軸 origin (n.) 原點 vertical line slope (n.) 垂直線 斜率 parallel (adj.) perpendicular (adj.) 平行 垂直 ( 相交成 90 ) This mountain is very steep. Beware of the roads here. Two perpendicular lines means two lines forming a right angle with each other. If three points A, B and C are collinear, they lie on the same straight line. Vocabulary 2 (Section 8.4 Point of Division, Figures) Section 8.5 Using Analytic Approach to Prove Results Relating to Rectilinear mid-point (n.) 中點 analytic approach 解析法 internal point of division 內分點 introduce (v.) 引入, 介紹 section formula 截點公式 Sai Wan Ho is the mid-point between Shau Kei Wan and Tai Koo. In the first school day, the teachers introduce themselves to their students.

41 Vocabulary Form 3 Ch. 9 Trigonometric Relations adjacent side 鄰邊 opposite side 對邊 hypotenuse (n.) 斜邊 theta (n.) θ ( 代數符號 ) acute angle 銳角 sine (n.) 正弦 cosine (n.) 餘弦 tangent (n.) 正切 Sine is the ratio between the opposite side and hypotenuse in a right-angled triangle. The short forms of sine, cosine and tangent are sin, cos and tan respectively.

42 Vocabulary apply (v.) 應用 申請 angle of elevation 仰角 true bearing 真方位角 south (n.), (adj.), (adv.) 南 southeast (n.),(adj.),(adv.) 東南 ( 代號 :SE) Form 3 Ch. 10 Application of Trigonometry application (n.) 應用 申請 angle of depression 俯角 direction (n.) 方向 west (n.), (adj.), (adv.) 西 southwest (n.),(adj.),(adv.) 西南 ( 代號 :SW) gradient (n.) 斜率 bearing 方位角 north (n.), (adj.), (adv.) 北 northeast (n.),(adj.),(adv.) 東北 ( 代號 :NE) due east 正東面 inclination 傾角 compass bearing 羅盤方位角 east (n.), (adj.), (adv.) 東 northwest (n.),(adj.),(adv.) 西北 ( 代號 :NW) notation (n.) 記號 Sai Wan Ho is on the west of Shau Kei Wan. Japan is on the northeast of Asia. If you go due south for 10 km, you will arrive at the forest.

43 Vocabulary (Section 11.1 probability (n.) 概率 outcomes favourable to the event E 對事件 E 的理想結果 head (n.) 硬幣的正面 heart (n.) ( 撲克牌的 ) 紅心 face card ( 撲克牌的 ) J, Q, K square number 正方形數 randomly (adv.) 隨機, 隨意地 certain event 必然事件 Form 3 Ch. 11 Simple Idea of Probability possible outcome 可能結果 toss (v.) 擲硬幣 tail (n.) 硬幣的背面 club (n.) ( 撲克牌的 ) 梅花 dice die (n.) 骰子 prime number 質數 equal likely 有相同的機會出現 Probability) event (n.) 事件 coin (n.) 硬幣 spade (n.) ( 撲克牌的 ) 葵扇 diamond (n.) ( 撲克牌的 ) 楷磚 fair dice die 骰子, 且每面機會相等 at random 隨機, 隨意地 impossible event 不可能事件 I ordered a set lunch at random and luckily it is very delicious. Tom runs very fast so he is equally likely to win in the 100 m run and the 200 m run. David hasn t done any revision so getting a pass in the test is an impossible event for him. Vocabulary (Section 11.2 Probability) tree diagram 樹形圖 dart (v.) 發鏢 table (n.) 表格 dartboard (n.) 鏢靶 Vocabulary (Section 11.3 experimental probability 實驗概率 trial (n.) empirical probability 實驗概率 Further Problems on geometric probability 幾何概率 lucky draw 抽獎 Experimental Probability) 試驗, 嘗試 They succeeded in the experiment on the fifteenth trial. theoretical probability 理論概率 Vocabulary (Section 11.4 expected value 期望值 Expected Value)