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IB Mathematics AI SL - Key Concepts

In the IB Mathematics Applications & Interpretation (AI) Standard Level (SL) Key Concepts section, you will find summary videos that will help you review the most important concepts and skills necessary for success. They are ideal for a quick refresher before tackling questions in the Revision Village Questionbank or Practice Exams sections of the website.

Topic 1

Number & Algebra

Topic 1

Number & Algebra

Rounding & Significant Figures

Rounding & Significant Figures video thumbnail

6 minutes

Scientific Notation

Scientific Notation video thumbnail

5 minutes

Percentage Error

Percentage Error video thumbnail

5 minutes

Arithmetic Sequences & Series

Arithmetic Sequences & Series video thumbnail

7 minutes

Geometric Sequences & Series

Geometric Sequences & Series video thumbnail

10 minutes

Sigma Notation

Sigma Notation video thumbnail

5 minutes

Compound Interest & Depreciation

Compound Interest & Depreciation video thumbnail

8 minutes

Loans & Amortization

Loans & Amortization video thumbnail

8 minutes

Annuities

Annuities video thumbnail

7 minutes

GDC Tips: Finance Solver (TVM Solver)

GDC Tips: Finance Solver (TVM Solver) video thumbnail

6 minutes


Topic 1

Number & Algebra

Rounding & Significant Figures

Rounding & Significant Figures video thumbnail

6 minutes

Scientific Notation

Scientific Notation video thumbnail

5 minutes

Percentage Error

Percentage Error video thumbnail

5 minutes

Arithmetic Sequences & Series

Arithmetic Sequences & Series video thumbnail

7 minutes

Geometric Sequences & Series

Geometric Sequences & Series video thumbnail

10 minutes

Sigma Notation

Sigma Notation video thumbnail

5 minutes

Compound Interest & Depreciation

Compound Interest & Depreciation video thumbnail

8 minutes

Loans & Amortization

Loans & Amortization video thumbnail

8 minutes

Annuities

Annuities video thumbnail

7 minutes

GDC Tips: Finance Solver (TVM Solver)

GDC Tips: Finance Solver (TVM Solver) video thumbnail

6 minutes

Topic 2

Functions

Topic 2

Functions

Forms of Linear Lines

Forms of Linear Lines video thumbnail

7 minutes

Gradients & Intercepts of Linear Lines

Gradients & Intercepts of Linear Lines video thumbnail

7 minutes

Parallel & Perpendicular Gradients

Parallel & Perpendicular Gradients video thumbnail

3 minutes

Perpendicular Bisectors

Perpendicular Bisectors video thumbnail

8 minutes

GDC Tips: Intersection of Two Lines

GDC Tips: Intersection of Two Lines video thumbnail

4 minutes

Functions: Overview & Types

Functions: Overview & Types video thumbnail

7 minutes

GDC Tips: Plotting Functions & Analysis Tools

GDC Tips: Plotting Functions & Analysis Tools video thumbnail

9 minutes

GDC Tips: Using nSolve to Solve Equations

GDC Tips: Using nSolve to Solve Equations video thumbnail

6 minutes


Topic 2

Functions

Forms of Linear Lines

Forms of Linear Lines video thumbnail

7 minutes

Gradients & Intercepts of Linear Lines

Gradients & Intercepts of Linear Lines video thumbnail

7 minutes

Parallel & Perpendicular Gradients

Parallel & Perpendicular Gradients video thumbnail

3 minutes

Perpendicular Bisectors

Perpendicular Bisectors video thumbnail

8 minutes

GDC Tips: Intersection of Two Lines

GDC Tips: Intersection of Two Lines video thumbnail

4 minutes

Functions: Overview & Types

Functions: Overview & Types video thumbnail

7 minutes

GDC Tips: Plotting Functions & Analysis Tools

GDC Tips: Plotting Functions & Analysis Tools video thumbnail

9 minutes

GDC Tips: Using nSolve to Solve Equations

GDC Tips: Using nSolve to Solve Equations video thumbnail

6 minutes

Topic 3

Geometry & Trigonometry

Topic 3

Geometry & Trigonometry

Geometry of 3D Shapes

Geometry of 3D Shapes video thumbnail

3 minutes

Pythagoras Theorem

Pythagoras Theorem video thumbnail

6 minutes

Right Angled Trig (Sin/Cos/Tan)

Right Angled Trig (Sin/Cos/Tan) video thumbnail

7 minutes

Sine & Cosine Rule, Area of a Triangle

Sine & Cosine Rule, Area of a Triangle video thumbnail

10 minutes

Length of Arc, Area of Sector (Circles)

Length of Arc, Area of Sector (Circles) video thumbnail

6 minutes

Voronoi Diagrams

Voronoi Diagrams video thumbnail

10 minutes


Topic 3

Geometry & Trigonometry

Geometry of 3D Shapes

Geometry of 3D Shapes video thumbnail

3 minutes

Pythagoras Theorem

Pythagoras Theorem video thumbnail

6 minutes

Right Angled Trig (Sin/Cos/Tan)

Right Angled Trig (Sin/Cos/Tan) video thumbnail

7 minutes

Sine & Cosine Rule, Area of a Triangle

Sine & Cosine Rule, Area of a Triangle video thumbnail

10 minutes

Length of Arc, Area of Sector (Circles)

Length of Arc, Area of Sector (Circles) video thumbnail

6 minutes

Voronoi Diagrams

Voronoi Diagrams video thumbnail

10 minutes

Topic 4

Statistics & Probability

Topic 4

Statistics & Probability

Mean, Median, Mode

Mean, Median, Mode video thumbnail

10 minutes

Quartiles, Interquartile Range, Box & Whisker

Quartiles, Interquartile Range, Box & Whisker video thumbnail

6 minutes

Outliers

Outliers video thumbnail

4 minutes

Data Sampling Methods

Data Sampling Methods video thumbnail

5 minutes

Independent & Dependent Variables, Scatter Plots

Independent & Dependent Variables, Scatter Plots video thumbnail

6 minutes

Correlation: Pearson's & Spearman's

Correlation: Pearson's & Spearman's video thumbnail

9 minutes

Line of Regression Equation (& Reliability)

Line of Regression Equation (& Reliability) video thumbnail

8 minutes

Tree Diagrams (Probability)

Tree Diagrams (Probability) video thumbnail

8 minutes

Venn Diagrams (Probability)

Venn Diagrams (Probability) video thumbnail

8 minutes

Probability Distribution

Probability Distribution video thumbnail

7 minutes

Binomial Distribution

Binomial Distribution video thumbnail

7 minutes

Normal Distribution

Normal Distribution video thumbnail

9 minutes

Hypothesis Testing

Hypothesis Testing video thumbnail

7 minutes


Topic 4

Statistics & Probability

Mean, Median, Mode

Mean, Median, Mode video thumbnail

10 minutes

Quartiles, Interquartile Range, Box & Whisker

Quartiles, Interquartile Range, Box & Whisker video thumbnail

6 minutes

Outliers

Outliers video thumbnail

4 minutes

Data Sampling Methods

Data Sampling Methods video thumbnail

5 minutes

Independent & Dependent Variables, Scatter Plots

Independent & Dependent Variables, Scatter Plots video thumbnail

6 minutes

Correlation: Pearson's & Spearman's

Correlation: Pearson's & Spearman's video thumbnail

9 minutes

Line of Regression Equation (& Reliability)

Line of Regression Equation (& Reliability) video thumbnail

8 minutes

Tree Diagrams (Probability)

Tree Diagrams (Probability) video thumbnail

8 minutes

Venn Diagrams (Probability)

Venn Diagrams (Probability) video thumbnail

8 minutes

Probability Distribution

Probability Distribution video thumbnail

7 minutes

Binomial Distribution

Binomial Distribution video thumbnail

7 minutes

Normal Distribution

Normal Distribution video thumbnail

9 minutes

Hypothesis Testing

Hypothesis Testing video thumbnail

7 minutes

Topic 5

Calculus

Topic 5

Calculus

Overview of Differential Calculus

Overview of Differential Calculus video thumbnail

6 minutes

Basics of Differentiation

Basics of Differentiation video thumbnail

8 minutes

Gradients of Tangents & Normals

Gradients of Tangents & Normals video thumbnail

6 minutes

Turning Points (Max/Min, Optimization)

Turning Points (Max/Min, Optimization) video thumbnail

7 minutes

Overview of Integral Calculus

Overview of Integral Calculus video thumbnail

7 minutes

Basics of Anti-Differentiation

Basics of Anti-Differentiation video thumbnail

7 minutes

Finding Areas Under Curves

Finding Areas Under Curves video thumbnail

7 minutes

Trapezoidal Rule

Trapezoidal Rule video thumbnail

6 minutes


Topic 5

Calculus

Overview of Differential Calculus

Overview of Differential Calculus video thumbnail

6 minutes

Basics of Differentiation

Basics of Differentiation video thumbnail

8 minutes

Gradients of Tangents & Normals

Gradients of Tangents & Normals video thumbnail

6 minutes

Turning Points (Max/Min, Optimization)

Turning Points (Max/Min, Optimization) video thumbnail

7 minutes

Overview of Integral Calculus

Overview of Integral Calculus video thumbnail

7 minutes

Basics of Anti-Differentiation

Basics of Anti-Differentiation video thumbnail

7 minutes

Finding Areas Under Curves

Finding Areas Under Curves video thumbnail

7 minutes

Trapezoidal Rule

Trapezoidal Rule video thumbnail

6 minutes

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Frequently Asked Questions

The IB Math Applications and Interpretation (AI) SL Key Concepts section is one of the four main features on Revision Village for AI SL students (in addition to Questionbank, Practice Exams and Past Papers). The Key Concepts section includes a carefully planned set of AI SL Exam Revision Videos that students can use to refresh specific concepts (e.g. Trapezoidal Rule) that they may have missed or misunderstood in class. The revision videos typically range between 5 and 10 minutes in length and are a short and concise way for students to quickly refresh a concept, before practicing exam questions, either in the Questionbank or Practice Exams section of the Revision Village website.

A great way to improve in mathematics is by practicing lots of questions, but sometimes we forget key pieces of theory. It’s recommended that students use the AI SL Key Concepts in conjunction with solving exam questions. Stuck on a specific question? Go to the Key Concepts section and watch one of the revision videos that recaps the theory. It’s recommended that students then return to the original question and try and solve it again.

This is not the aim of the AI SL Key Concept section on Revision Village. These videos are short and concise and aim to ‘recap’ the theory, as opposed to teaching and explaining the theory, which is the purpose of textbooks. The AI SL Key Concept section on Revision Village aims to support students’ revision process by providing an easy way to quickly recap the concepts that occur frequently on Applications and Interpretation Standard Level examinations.

The AI SL Key Concept videos on Revision Village are taught by experienced IB Mathematics teachers and examiners, who are passionate about teaching IB Math AI SL concepts in a simple, intuitive and engaging manner. The team is dedicated to helping each and every student achieve their best possible IB Mathematics grade.