# 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

Rounding & Significant Figures

6 minutes

Scientific Notation

5 minutes

Percentage Error

5 minutes

Arithmetic Sequences & Series

7 minutes

Geometric Sequences & Series

10 minutes

Sigma Notation

5 minutes

Compound Interest & Depreciation

8 minutes

Loans & Amortization

8 minutes

Annuities

7 minutes

GDC Tips: Finance Solver (TVM Solver)

6 minutes

Topic 2

## Functions

Forms of Linear Lines

7 minutes

Gradients & Intercepts of Linear Lines

7 minutes

Parallel & Perpendicular Gradients

3 minutes

Perpendicular Bisectors

8 minutes

GDC Tips: Intersection of Two Lines

4 minutes

Functions: Overview & Types

7 minutes

GDC Tips: Plotting Functions & Analysis Tools

9 minutes

GDC Tips: Using nSolve to Solve Equations

6 minutes

Topic 3

## Geometry & Trigonometry

Geometry of 3D Shapes

3 minutes

Pythagoras Theorem

6 minutes

Right Angled Trig (Sin/Cos/Tan)

7 minutes

Sine & Cosine Rule, Area of a Triangle

10 minutes

Length of Arc, Area of Sector (Circles)

6 minutes

Voronoi Diagrams

10 minutes

Topic 4

## Statistics & Probability

Mean, Median, Mode

10 minutes

Quartiles, Interquartile Range, Box & Whisker

6 minutes

Outliers

4 minutes

Data Sampling Methods

5 minutes

Independent & Dependent Variables, Scatter Plots

6 minutes

Correlation: Pearson's & Spearman's

9 minutes

Line of Regression Equation (& Reliability)

8 minutes

Tree Diagrams (Probability)

8 minutes

Venn Diagrams (Probability)

8 minutes

Probability Distribution

7 minutes

Binomial Distribution

7 minutes

Normal Distribution

9 minutes

Hypothesis Testing

7 minutes

Topic 5

## Calculus

Overview of Differential Calculus

6 minutes

Basics of Differentiation

8 minutes

Gradients of Tangents & Normals

6 minutes

Turning Points (Max/Min, Optimization)

7 minutes

Overview of Integral Calculus

7 minutes

Basics of Anti-Differentiation

7 minutes

Finding Areas Under Curves

7 minutes

Trapezoidal Rule

6 minutes

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Frequently Asked Questions

## What are the AI SL Key Concepts?

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.

## How should I best use the AI SL Key Concepts?

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.

## Do the AI SL Key Concept videos replace my textbook?

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.

## Who are the teachers in the AI SL Key Concept videos?

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.