© 牛津大學出版社 NF:非基礎課題 EN:增潤課題 第 4 頁
新初中課程的學習重點 (2020 年) 與現行課程 (2001 年) 的比較 相關課文 (牛津 新世代數學 第二版)
5. 百分法
5.2 解現實生活中相關的應用題 差餉問題 3A3 百分法 (二)
(第 3.423.43 頁)
6. 率、比及比例
6.1 理解率、比及比例的概念
6.2 解涉及率、比及比例的應用題
比例的概念
(包括正比例和反比例)
2B7 率及比
7. 代數式
7.3 認識數列的概念 求數列的通項 1A3 以代數解決問題 (二)
(第 3.153.19 頁)
多邊形數、等差 / 等比數列和斐波那契數列
奇數 / 偶數數列 和 正方形 / 三角形數列
8. 一元一次方程
(沒有相關學習重點) 解文字方程 EN 1A2 以代數解決問題 (二)
(附錄 第 A9A10 頁)
12. 恆等式
12.3 運用恆等式因式分解多項式 運用涉及 a
3 b
3 和 a
3 + b3 的恆等式作因式分解
NF
3A1 續多項式的因式分解
(第 1.191.22 頁)
刪除
新增
新增
刪除
刪除
刪除
刪除
© Oxford University Press NF: Non-foundation Topics EN: Enrichment Topics P.14
List of Repositioned Learning Objectives
(Involving reallocation among F : Foundation topic, NF: Non-foundation topic and EN: Enrichment topic.)
Learning Objective in Current Curriculum Related Chapters (OUP New Century Maths 2nd ed.)
NF F Introduce the history of the first mathematical crisis
2B10 Pythagoras' Theorem
(P.10.3710.38)
NF F 'Using the analytic approach to prove results relating to rectilinear figures'
has been changed to
'use coordinate geometry to perform simple geometric proofs'
3B11 Coordinate Geometry of Straight Lines
(P.11.5011.54)
EN F Explore simultaneous equations that are inconsistent or have no unique solution
2A5 Linear Equations in Two Unknowns
(Appendix P.A9A10)
F NF Explore regular polygons that tessellate the plane
2B8 Angles in Triangles and Polygons
(P.8.418.43)
F NF Recognize the concept of expectation
3B12 Introduction to Probability
(P.12.3712.41)
EN NF Prove some properties of the incentre and the circumcentre of a triangle
3A6 More on Deductive Geometry
(Appendix P.A10A11)
F EN Euler's formula
1A4 Introduction to Geometry
(P.4.334.34)
F EN Design numerical estimation strategies according to the contexts and
judge the reasonableness of the results obtained
1A6 Estimation in Numbers and Measurement
(P.6.56.9)
F EN Design estimation strategies in measurement according to the contexts
1A6 Estimation in Numbers and Measurement
(P.6.206.27)
F EN The three orthographic views of 3-D figures
3B8 More about 3-D Figures
(P.8.228.27)
F EN Regular polyhedra
3B8 More about 3-D Figures
(P.8.468.48)
NF EN Hexadecimal numbers
3A2 Laws of Indices
(P.2.222.24, P.2.272.31)
© Oxford University Press
6 6. Rates, ratios and proportions
Learning Unit in new Junior
Maths Curriculum
Relation with the OLD Primary Maths Curriculum
(for students of 2020-2022)
Relation with the NEW Primary Maths Curriculum
(for students after 2023)
6.1 understand the concepts of rates, ratios
and proportions
6.2 solve problems involving rates, ratios
and proportions
Students have learnt 'speed and travel graph'.
Note that percentage (百分率) and (圓周率) learnt at primary level are examples of ratios, not rates.
Students have not learnt the content about 'ratios and
proportions'.
Students have learnt 'fractions can be regarded as the
ratio of two whole numbers', but not including
'using the symbol ":" to represent a ratio'.
Students have also learnt 'solving problems involving
direct proportions', but not required to use the term
'direct proportion'.
7. Algebraic expressions
Learning Unit in new Junior
Maths Curriculum
Relation with the OLD Primary Maths Curriculum
(for students of 2020-2022)
Relation with the NEW Primary Maths Curriculum
(for students after 2023)
7.1 represent word phrases by algebraic
expressions
7.2 represent algebraic expressions by
word phrases
Students have learnt 'using letters to represent numbers', including:
3m is 3 m, m 3 or m + m + m, while n
3 is n 3, 1
3 n or n 1
3.
They have also learnt 'using algebraic expressions to represent the operations of and relations between quantities
that are described in words and involve unknown quantities'.
7.3 recognize the concept of sequences of
numbers
The content about 'square numbers and triangular
numbers' belongs to the enrichment topic.
The content about 'sequences and number patterns'
has been deleted.
© 牛津大學出版社 7
8. 一元一次方程
新初中課程學習單位內容 與舊小學課程的關係 (2020-2022 的學生) 與新小學課程的關係 (2023 或之後的學生)
8.1 解一元一次方程 學生已學習「解以下類型的簡易方程」:
1. x + b = c 2. x - b = c 3. ax = b 4. x
a = b
5. ax + b = c 6. ax - b = c 7. x
a + b = c 8. x
a - b = c
9. a(x + b) = c 10. a(x - b) = c
其中 a、b 和 c 可為整數、分數、小數或百分數,且 a 不等於零。
學生亦學會在解方程後進行驗算。
學生沒有學習有關「解涉及合併同類項的方程」的
內容。
新增以下類型的簡易方程:
11. dx + ex = c 12. dx - ex = c
其中 c 可為整數、分數、小數或百分數,
d 和 e 須為非零整數。
8.2 由文字情境建立一元一次方程
8.3 解涉及一元一次方程的應用題
學生已學習「由文字情境建立方程」和「運用方程解應用題」。
14. 一元一次不等式
新初中課程學習單位內容 與舊小學課程的關係 (2020-2022 的學生) 與新小學課程的關係 (2023 或之後的學生)
14.1 理解不等式的概念 學生已學習「使用符號『=』、『>』和『<』來表示兩個數的大小關係」。
3
•全新美饌薈萃•
本社精心設計的《新初中與
小學數學課程關係表》,讓老師
了解小學課程的重點改變,對
初中學習內容的影響。
解構新課程
本社提供簡明扼要的《新舊初中數學課程比較表》。
「新增」、「刪除」、「重訂屬性」的學習重點,一目了然。
清楚列出初中學習內容
與新舊小學課程的關係
新舊初中數學課程比較表