Writing asymptote equations as simple numbers instead of full linear equations (e.g., writing '2' instead of 'x = 2' or 'y = 2').

Always state asymptotes using both the variable and the value, for example: vertical asymptote is x = c, horizontal asymptote is y = k.

Omitting the constant of integration (+C) in general solutions of indefinite integrals or separable differential equations.

Train yourself to write '+ C' immediately upon performing any indefinite integration step before attempting to apply boundary conditions.

Calculating total distance in kinematics by simply subtracting initial and final displacement, ignoring changes in direction.

Use the absolute value of velocity inside the integral: integrate |v(t)| from t1 to t2, or calculate individual positive and negative area segments separately.

Rounding intermediate decimal numbers during multi-step GDC calculations on Paper 2, causing rounding errors in the final answer.

Keep the unrounded values in your GDC memory history, and only round the final stated answer to 3 significant figures (or 2 decimal places for financial quantities).

Failing to check if calculated values of a parameter satisfy domain constraints (e.g., retaining a negative value for a probability parameter or a dimension like radius).

Explicitly write down boundary constraints, such as 0 0 for lengths, and formally reject extraneous mathematical roots with a brief comment.

IB DP · 試験対策

Mathematics - Analysis and Approaches 試験対策

An evidence-based masterclass on dominating the IB DP Mathematics: Analysis and Approaches Standard Level exam. Learn how to manage the strict non-calculator and calculator split, write mathematically robust proofs, structure kinematics integrals, and avoid the subtle pitfalls that separate a grade 6 from a 7.

読了時間 4 分更新日: 2026年6月21日

試験の概要

試験数

満点

275

制限時間

5時間 15分

出題形式

試験	時間	配点	問題数	配点比率	出題形式
Paper 1	2時間	110	—	—	—
Paper 2	2時間	110	—	—	—
Paper 3	1時間 15分	55	—	—	—

評価段階

7654321

電卓の規定

A graphic display calculator (GDC) from the IB-approved list is required for most Mathematics and Sciences papers and must be set to examination mode. Note that some papers do not permit a calculator (for example Mathematics Paper 1 and the multiple-choice Sciences Paper 1).

AO1: Knowledge and understanding
AO2: Problem solving
AO3: Mathematical presentation and communication

過去問と採点基準にもとづいて作成（2023–2025）。

電卓プログラム

Graph: zeros, intersections & turning points

Graphical calculator / GDC (exam mode)

目的: Plot a function to read its roots (zeros), points of intersection, and maxima/minima.

使う場面: Checking solutions, sketching, or solving where an analytic method is hard.

手順

Graph the function(s) and use the built-in zero, intersect and maximum/minimum tools.

試験での注意: Use a GDC from the IB-approved list in examination mode. Some papers do not permit a calculator. Always show your reasoning.

Numerical equation solver

Graphical calculator / GDC (exam mode)

目的: Solve an equation or find a variable numerically when an algebraic route is long or implicit.

使う場面: Iterative or implicit equations, or to confirm an algebraic solution.

手順

Use the equation/zero solver, entering the equation and a sensible starting estimate.

試験での注意: Use a GDC from the IB-approved list in examination mode. Some papers do not permit a calculator. Always show your reasoning.

Numerical integration & differentiation

Graphical calculator / GDC (exam mode)

目的: Evaluate a definite integral \(\int_a^b f(x)\,dx\) or a gradient \(f'(x)\) at a point.

使う場面: Checking calculus answers, or where only a numerical value is needed.

手順

Use the GDC's numeric integral / derivative function with the limits or the point.

試験での注意: Use a GDC from the IB-approved list in examination mode. Some papers do not permit a calculator. Always show your reasoning.

Statistics & probability distributions

Graphical calculator / GDC (exam mode)

目的: 1-var/2-var statistics, linear regression, and cumulative binomial / normal / Poisson probabilities without tables.

使う場面: Statistics questions and hypothesis tests.

手順

Enter data in the statistics editor, or use the distribution menu (binomial cdf, normal cdf, …).

試験での注意: Use a GDC from the IB-approved list in examination mode. Some papers do not permit a calculator. Always show your reasoning.

よくあるミス

1high影響する配点: 2Functions
Writing asymptote equations as simple numbers instead of full linear equations (e.g., writing '2' instead of 'x = 2' or 'y = 2').
回避方法: Always state asymptotes using both the variable and the value, for example: vertical asymptote is x = c, horizontal asymptote is y = k.
2high影響する配点: 3Calculus
Omitting the constant of integration (+C) in general solutions of indefinite integrals or separable differential equations.
回避方法: Train yourself to write '+ C' immediately upon performing any indefinite integration step before attempting to apply boundary conditions.
3medium影響する配点: 4Calculus
Calculating total distance in kinematics by simply subtracting initial and final displacement, ignoring changes in direction.
回避方法: Use the absolute value of velocity inside the integral: integrate |v(t)| from t1 to t2, or calculate individual positive and negative area segments separately.
4high影響する配点: 1Number and algebra
Rounding intermediate decimal numbers during multi-step GDC calculations on Paper 2, causing rounding errors in the final answer.
回避方法: Keep the unrounded values in your GDC memory history, and only round the final stated answer to 3 significant figures (or 2 decimal places for financial quantities).
5medium影響する配点: 2Functions
Failing to check if calculated values of a parameter satisfy domain constraints (e.g., retaining a negative value for a probability parameter or a dimension like radius).
回避方法: Explicitly write down boundary constraints, such as 0 <= p <= 1 for probabilities or r > 0 for lengths, and formally reject extraneous mathematical roots with a brief comment.

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