📚 Calculator Selection Guide for IB, NCEA, and CIE Mathematics Exams | IB、NCEA与CIE数学考试计算器选择指南
Choosing the right calculator for mathematics exams under the IB, NCEA, and CIE qualifications can significantly affect your performance and exam eligibility. Each examination board has distinct rules concerning permitted calculator types, functions, and modes. This guide provides a comprehensive overview to help you select a compliant and efficient tool for your specific curriculum.
在IB、NCEA和CIE数学考试中选择正确的计算器可能会显著影响你的表现和考试资格。每个考试局对允许的计算器类型、功能和模式都有不同的规定。本指南将提供全面的概述，以帮助你为特定课程选择既合规又高效的工具。
1. Importance of Calculator Compliance | 计算器合规性的重要性
Using an unapproved calculator during an exam can lead to disqualification, a zero score for the paper, or even invalidation of the entire qualification. All three examined bodies strictly enforce calculator policies, and invigilators are trained to check model numbers and modes.
在考试中使用未经批准的计算器可能导致取消考试资格、该试卷得零分，甚至使整个资格证书无效。这三个考试局都严格执行计算器政策，监考人员经过培训会检查型号和模式。
The specific rules are not just about hardware but also about software functionality. A calculator that can perform symbolic algebra or store formulas may be allowed in one system but banned in another. Understanding the boundaries is essential to avoid accidental breaches.
具体规定不仅涉及硬件，还涉及软件功能。一台能够执行符号代数或存储公式的计算器可能在某个体系中被允许，而在另一个体系中被禁止。理解这些界限对于避免无意违规至关重要。
Furthermore, a compliant calculator used effectively can save valuable time on complex calculations, graphing, and equation solving. Thus, your choice should balance compliance with practical functionality.
此外，有效使用合规计算器可以节省宝贵的时间来处理复杂的计算、绘图和方程求解。因此，你的选择应在合规性与实用功能之间取得平衡。
2. Overview of IB Mathematics Calculator Regulations | IB数学计算器规则概览
The International Baccalaureate (IB) requires all Mathematics: Analysis and Approaches (AA) and Mathematics: Applications and Interpretation (AI) candidates to use a Graphic Display Calculator (GDC) for all papers. No paper allows a scientific-only calculator as a primary device.
国际文凭组织（IB）要求所有数学：分析与方法（AA）和数学：应用与解释（AI）的考生在所有试卷中使用图形显示计算器（GDC）。没有任何试卷允许仅使用科学计算器作为主要设备。
IB permits the use of calculators with Computer Algebra System (CAS) functionality, such as the TI-Nspire CX II CAS or Casio fx-CG500. However, candidates must be aware that some questions may test skills where CAS is not beneficial, but using it is not prohibited.
IB 允许使用具有计算机代数系统（CAS）功能的计算器，例如 TI-Nspire CX II CAS 或 Casio fx-CG500。但考生须注意，部分题目虽会测试非CAS技能，但使用 CAS 并不被禁止。
Key restrictions include: no QWERTY keyboard, no internet connectivity, and the calculator must be silent with a power source. Before the exam, students must clear all memory or enter a designated 'Press-to-Test' mode if using compatible models.
关键限制包括：禁止使用QWERTY键盘、不得连接互联网，且计算器必须静音并有电源。考试前，学生必须清除所有内存，或在使用兼容型号时进入指定的“Press-to-Test”模式。
Commonly approved GDCs include the TI-84 Plus CE, TI-Nspire CX (CAS and non-CAS), Casio fx-9860GII, Casio fx-CG50, and HP Prime. The choice of CAS vs non-CAS depends on personal preference and the teacher's guidance.
常见获准的图形计算器有 TI-84 Plus CE、TI-Nspire CX（CAS 和非 CAS 版）、Casio fx-9860GII、Casio fx-CG50 和 HP Prime。选择 CAS 还是非 CAS 取决于个人偏好和教师指导。
3. NCEA Mathematics Calculator Policies | NCEA数学计算器政策
New Zealand's NCEA assessments, governed by NZQA, permit graphic calculators in most mathematics standards at Levels 1, 2, and 3. However, specific algebra standards (such as AS91261 Algebra 2.6 and AS91577 Algebra 3.5) explicitly ban the use of any CAS functionality.
新西兰的 NCEA 评估由 NZQA 管理，允许在 Level 1、2 和 3 的大多数数学标准中使用图形计算器。然而，特定的代数标准（如 AS91261 Algebra 2.6 和 AS91577 Algebra 3.5）明确禁止使用任何 CAS 功能。
If your calculator has CAS, you must be able to engage an exam mode that permanently disables symbolic manipulation and the ability to store user-defined functions. Devices without CAS, such as the TI-84 Plus CE or Casio fx-CG50, are safe choices because they lack CAS entirely.
如果你的计算器具有 CAS，你必须能够开启考试模式，该模式将永久禁用符号运算以及存储用户自定义函数的功能。像 TI-84 Plus CE 或 Casio fx-CG50 这样的无 CAS 设备是安全选择，因为它们完全不具备 CAS。
Calculators must be reset or placed in exam mode before the assessment, and the invigilator may inspect the mode indicator. Failure to disable CAS in prohibited standards will result in a 'Not Achieved' for that standard.
在评估前，计算器必须被重置或置于考试模式，监考人员可能会检查模式指示灯。在禁止 CAS 的标准中未能禁用 CAS 将导致该标准被评为“未达标”（Not Achieved）。
For statistics and calculus standards, both graphic and scientific calculators are allowed, but a GDC provides a significant advantage for data plotting, numerical integration, and solving equations graphically.
对于统计和微积分标准，图形计算器和科学计算器均被允许，但图形计算器在数据绘图、数值积分和图形求解方程方面具有显著优势。
4. CIE Mathematics Calculator Restrictions | CIE数学计算器限制
Cambridge International AS & A Level Mathematics (9709) and Further Mathematics (9231) have the strictest calculator rules among the three. Graphic calculators of any kind are completely banned, regardless of whether they have an exam mode or CAS disabled.
剑桥国际AS和A Level数学（9709）和进阶数学（9231）在这三者中拥有最严格的计算器规定。任何类型的图形计算器都完全被禁止，无论它们是否具备考试模式或禁用了 CAS。
Permitted calculators must be silent, cordless, and must not feature a graphical display, a data bank, or the capability for symbolic algebra, differentiation, or integration. The calculator must not be able to store text or algebraic formulas.
允许的计算器必须静音、无线，并且不得具有图形显示、数据库，或具备符号代数、微分或积分的功能。计算器不得能够存储文本或代数公式。
Typical approved models are scientific calculators such as the Casio fx-991EX ClassWiz, Casio fx-570EX, TI-36X Pro, and Sharp EL-W531. These devices offer natural display and numerical equation solving but do not generate graphs or perform symbolic CAS operations.
典型的获批型号是科学计算器，如 Casio fx-991EX ClassWiz、Casio fx-570EX、TI-36X Pro 和 Sharp EL-W531。这些设备提供自然显示和数值方程求解，但不生成图形或执行符号 CAS 运算。
Even scientific calculators with basic memory must be cleared before the exam. CIE often requires that the cover be removed and any reset function demonstrated if requested by the invigilator.
即使是具有基本记忆功能的科学计算器，也必须在考试前清除记忆。CIE 通常要求取下计算器外壳，并应要求向监考人员演示重置功能。
5. Types of Calculators: Scientific vs Graphic vs CAS | 计算器类型：科学型 vs 图形型 vs CAS
Understanding the core capabilities of each calculator type will help you map them to the correct exam board.
理解每种计算器类型的核心功能将有助于你将其对应至正确的考试局。
| Type | Key Functions | Examples | Allowed in |
| Scientific | Numerical calculations, statistics, equation solving (numeric), no graphics, no CAS | Casio fx-991EX, TI-36X Pro | CIE, NCEA (all standards), IB (not as primary) |
| Graphic (non-CAS) | Graph plotting, numeric calculus, statistics, no symbolic algebra | TI-84 Plus CE, Casio fx-CG50 | IB, NCEA (all including Algebra), not CIE |
| Graphic with CAS | All above plus symbolic manipulation, exact values, indefinite integrals | TI-Nspire CX II CAS, HP Prime | IB (all), NCEA (except Algebra unless locked), not CIE |
In CIE exams, any device that can produce a graph is prohibited, so graphic calculators are entirely excluded. NCEA offers flexibility but requires caution with CAS. IB embraces the fullest functionality.
在CIE考试中，任何能生成图形的设备都被禁止，因此图形计算器完全被排除。NCEA 提供灵活性，但在 CAS 方面需要谨慎。IB 则拥抱最全面的功能。
6. Recommended Models for IB Mathematics | IB数学推荐型号
IB candidates should select a GDC that they find intuitive and which handles the syllabus requirements smoothly — such as functions, calculus, matrices, and complex numbers (AA) or large datasets and financial maths (AI).
IB 考生应选择一款他们觉得直观并能顺利处理课程要求的图形计算器——例如函数、微积分、矩阵和复数（AA），或大型数据集和金融数学（AI）。
TI-Nspire CX II CAS is a top choice for its powerful CAS engine, dynamic graphing, and Press-to-Test exam mode. It supports exact values and step-by-step manipulations, which can help verify solutions. The non-CAS version is also fully acceptable.
TI-Nspire CX II CAS 是首选，因其强大的 CAS 引擎、动态图形和 Press-to-Test 考试模式。它支持精确值和逐步运算，有助于验证解答。非 CAS 版本也完全可用。
Casio fx-CG50 offers a high-resolution colour display and user-friendly menu at a lower price point. It does not have CAS, making it a popular choice for students who prefer to avoid symbolic manipulation or who may also sit NCEA exams.
Casio fx-CG50 以较低的价格提供高分辨率彩色显示和用户友好的菜单。它不具备 CAS，因此成为那些希望避免符号运算或者也可能参加 NCEA 考试的学生的人气之选。
TI-84 Plus CE remains reliable and widely used. It lacks CAS but has a robust ecosystem of learning resources and is lightweight. The built-in apps for polynomial roots and conics are particularly useful.
TI-84 Plus CE 依然可靠且被广泛使用。它缺乏 CAS，但拥有强大的学习资源生态系统，重量轻。内置的多项式求根和圆锥曲线应用尤其有用。
All recommended models comply with IB regulations and have approved exam modes. Practise clearing memory and entering exam mode regularly to avoid panic on exam day.
所有推荐的型号都符合 IB 规定并具有获准的考试模式。定期练习清除内存和进入考试模式，以避免考试当天慌乱。
7. Recommended Models for NCEA Mathematics | NCEA数学推荐型号
The best calculator for NCEA is one that can serve you across algebra, calculus, and statistics without violating the CAS restrictions. A non-CAS graphic calculator is the safest and most versatile option.
适用于 NCEA 的最佳计算器是那些能够在代数、微积分和统计中为你服务，且不违反 CAS 限制的设备。非 CAS 图形计算器是最安全且最通用的选择。
Casio fx-CG50 stands out because it has no CAS hardware/software, so it is automatically compliant with the algebra standards. Its 3D graph capability and spreadsheet mode are excellent for statistics.
Casio fx-CG50 脱颖而出，因为它没有 CAS 硬件/软件，因此自动符合代数标准的要求。其 3D 图形功能和电子表格模式在统计方面表现出色。
TI-84 Plus CE is another ideal choice, providing all required statistical tests, probability distributions, and calculus operations without CAS. Its exam mode can be activated to clear memory, though no CAS lock is needed.
TI-84 Plus CE 是另一个理想选择，提供所有必需的统计检验、概率分布和微积分运算，且无 CAS。其考试模式可以被激活以清除内存，尽管无需锁定 CAS。
If you already own a CAS model like the TI-Nspire CX II CAS, you can use it for NCEA provided you enter Press-to-Test and select the option to disable CAS functionality. Check that the green status LED confirms CAS is off.
如果你已拥有像 TI-Nspire CX II CAS 这样的 CAS 型号，你只需进入 Press-to-Test 并选择禁用 CAS 功能的选项即可用于 NCEA。确认绿色状态灯指示 CAS 已关闭。
Students frequently recommend learning two calculators: one GDC for most papers and a simple scientific backup, but this is not mandatory. Mastery of your primary device is more important.
学生们经常建议学习使用两个计算器：一个图形计算器用于大多数试卷，以及一个简单的科学计算器作为备用，但这并非强制要求。精通你主要的设备更为重要。
8. Recommended Models for CIE Mathematics | CIE数学推荐型号
For CIE A Level Maths and Further Maths, your options are limited to scientific calculators. You must avoid any model that has even basic graphing capability, so do not purchase a graphic calculator thinking you can switch off graphs — that is not permitted.
对于 CIE A Level 数学和进阶数学，你的选择仅限于科学计算器。你必须避免任何甚至带有基本图形功能的型号，因此不要以为可以关掉图形功能而购买图形计算器——那是被禁止的。
Casio fx-991EX ClassWiz is the top recommendation due to its high-resolution natural textbook display, spreadsheet capability, and SOLVER function for equations. It can handle vectors, matrices (numerical only), and definite integration. No graphics are generated.
Casio fx-991EX ClassWiz 是首选推荐，因为它具有高分辨率的自然教材显示、电子表格能力和方程求解器。它可以处理向量、矩阵（仅限数值）和定积分。不生成图形。
TI-36X Pro is an excellent alternative, offering similar features with a multi-line display that retains input history. It is particularly strong in numerical solve and system of linear equations.
TI-36X Pro 是一个极好的替代方案，提供类似功能，并具有保留输入历史的多行显示。它在数值求解和线性方程组方面尤其强大。
Casio fx-570EX is a slightly more basic but fully sufficient model if you are on a budget. It covers all required calculus and statistics functions without violating any CIE rule.
Casio fx-570EX 是一款稍基础但完全够用的型号，如果你预算有限。它涵盖了所有必需的微积分和统计功能，且不违反任何 CIE 规则。
Always check the CIE official list of prohibited features before purchase, and if in doubt, show the model to your school's exams officer.
务必在购买前查阅 CIE 官方列出的禁用功能，如有疑问，请向你学校的考试负责人出示该型号。
9. Cross-Curriculum Compatibility | 跨课程兼容性
If you anticipate moving between systems — for example, starting with NCEA and later taking CIE exams, or studying IB while also sitting CIE as an external candidate — it is unlikely one calculator will serve all purposes.
如果你预计会在体系之间转换——例如，先从 NCEA 开始后参加 CIE 考试，或在学习 IB 的同时作为外部考生参加 CIE 考试——那么不太可能有一个计算器能满足所有需求。
A graphic calculator with CAS is perfect for IB but completely banned in CIE. A non-CAS graphic calculator works for IB and NCEA (including algebra), but again cannot be used in CIE. CIE demands a pure scientific calculator.
带 CAS 的图形计算器对 IB 来说完美，但在 CIE 中完全禁止。非 CAS 图形计算器适用于 IB 和 NCEA（包括代数），但同样不能在 CIE 中使用。CIE 要求纯科学计算器。
The practical compromise is to own two devices: a fully featured GDC (with CAS locked as needed) for IB/NCEA, and a reliable scientific calculator for CIE. Many students find owning a scientific calculator also helps in quick checks during non-graph-heavy work.
实际的折中方案是拥有两个设备：一个功能齐全的图形计算器（按需锁定 CAS）用于 IB/NCEA，以及一个可靠的科学计算器用于 CIE。许多学生发现拥有一个科学计算器也有助于在非图形密集的工作中进行快速检查。
Before making a purchase, consult your school's mathematics department for their specific recommendations and any bulk-buying schemes that could reduce costs.
在购买之前，请咨询你所在学校的数学系，以获取他们的具体建议以及任何可能降低成本的团购方案。
10. Exam Mode and Memory Clearing | 考试模式与记忆清除
Almost all high-stakes exams require that your calculator memory be cleared or that a special exam mode be activated before the start. This prevents access to stored formulas, text, or programs that could give an unfair advantage.
几乎所有高风险考试都要求你的计算器内存被清除，或在开始前激活特殊的考试模式。这可以防止访问存储的公式、文本或程序，从而避免获得不当优势。
IB: You must clear all user memory or enter Press-to-Test if using a TI calculator. The invigilator may ask you to demonstrate the reset. Make sure you know how to exit exam mode after the test.
IB：你必须清除所有用户内存，或如果使用 TI 计算器则进入 Press-to-Test 模式。监考官可能会要求你演示重置过程。确保你知道考后如何退出考试模式。
NCEA: For CAS-prohibited standards, you must disable CAS. With the Casio fx-CG50 (non-CAS) a simple memory reset suffices. For TI-Nspire, enter Press-to-Test and disable CAS, then check the LED.
NCEA：对于禁止 CAS 的标准，你必须禁用 CAS。对于 Casio fx-CG50（非 CAS），简单的内存重置即可。对于 TI-Nspire，进入 Press-to-Test 并禁用 CAS，然后检查指示灯。
CIE: The memory must be cleared entirely. Typically you press SHIFT+9 (CLR) and confirm 'All' on Casio models, or access the reset menu. Any suspicious stored data can lead to invalidation.
CIE：内存必须完全清除。通常在 Casio 型号上按 SHIFT+9（CLR）并确认“全部”，或访问重置菜单。任何可疑的存储数据都可能导致成绩作废。
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