mathematics

This subject covers units such as geometry, algebra, arithmetic, differential calculus and, statistics and probability

Algebra covers chapters such as Models, Change, Form, Patterns, Quantity, Generalization and, Equivalence

Algebra

Geometry covers chapters such as Space, Measurement, Logic, Justification and, Graph Theory: Networks

Geometry

Differential Calculus contains chapter Relationships

Differential Calculus

Statistics and Probability covers chapters such as Systems and Representation

Statistics and Probability

Arithmetic contains chapter Simplification

Arithmetic

Extended MYP Mathematics A Concept based approach Years 4 & 5

MYP Mathematics A concept based approach 4&5 Standard

Linear Programming: Manufacturing Problem

Discrete Frequency Stats: Mean, Variance, SD

Linear Programming Problem: Graphical Method

Quartile Deviation

Relations

Measures of Dispersion

Variance and SD for Grouped Frequency Distribution

Mean of Grouped Data: Example

Base of Logarithm

Exponents & Logarithms

Examples of Area of Triangles

Cosine Rule

Sine Rule

Examples on Logarithms

Working Rules for Logarithms

Factorisation Using Difference of Two Squares: Example

Inverse Function: Theorem

Inverse Function

One-one and Onto of Composition of Functions

Composite Functions: Illustration

Composition of Functions: Theorem

Composition of Functions

Types of Functions

Types of Errors

Convert Degree Into Radian & Radian Into Degree

Relation Between Radian and Degree

Systems for Measurement of Angles

Modulus Function

The Reciprocal Function

Range of a Function: Illustration

Domain, Co-Domain and Range of a Function

Concept of a Function

Complement of Set

Difference of Sets

Examples of De Morgan’s Law and Distributive Law

The Intersection in Set Operations

The Union in Set Operations

Venn Diagrams

Subsets and Equal Sets

Number of Elements in Sets

Universal Set and Subsets

Equivalent Sets

Finite and Infinite Sets

Empty Set

Cardinality and Types of Sets

Notations for a Set

Tangent at a Point on Circle: Theorem

Tangent as Perpendicular to Radius: Illustration

Tangent as Perpendicular to the Radius

Trigonometric Identities

Factorization Method

Introduction to Graphs

Elements of Regular Octagon

Numerator and Denominator of a Rational Number

Criteria for Congruence of Triangles

Correspondence

Congruent Line Segments and Congruent Angles

Congruent Figures

Interpretation of a Bar Graph

Basics of Bar Graph

Basics of Data

Converting Length and Weight into Different Units

Illustration on Pairwise Independent Events

Independency of More Than Two Events

Illustration on Conditional Probability

Problem on Conditional Probability

Plane and Its Equation

Scalar Product of Vectors: Illustration

Properties of Scalar Product

Scalar Product

Multiplication of Vectors by Scalars: Properties

Multiplication of a Vector With a Scalar

Examples on Addition of Vectors

Addition of Vectors

Unit Vector in the Direction of a Given Vector

IlLustration on Probability of Events

Addition Theorem

Axiomatic Definition of Probability

Mutually Exclusive Events

Types of Events

Sample Space

Distance Formula in 3D: Illustration

Distance Formula in 3D

Coordinate Axes and Coordinate Planes in 3D

Section Formula

Derivation of Distance Formula 2D

Ordered Pair Corresponding to a Point

Quadrants in the Cartesian System

Sum of n Terms of a GP When nᵗʰ Term is Given

Sum of First n Terms of a G.P.

Sum of First n Terms of a Geometric Progression

Geometric Progression

Sum of First n Terms of an Arithmetic Progression

Finding nth Term When Sum of n Terms Is Given!

Definition of Series, Sum & nᵗʰ Term

Finding Terms of a Sequence

Formation of Linear Inequality: Example

Graph of Linear Inequation in Two Variables

Graphical Solutions for Linear Inequality

Rules for Drawing Graph of Inequality

This chapter covers topics, such as, Basics of Probability, Algebra of Probability & Conditional Probability etc.

Systems

This chapter covers topics, such as, Linear Inequalities, Non-linear Inequalities in One Variable, Linear Programming, Exponential Functions, The Sine and Cosine Curves & Non-linear inequalities in Two Variables etc.

Models

This chapter covers topics, such as, Discovering the Basic Circle Theorem, Establishing Congruent Triangles & Intersecting Chords etc.

Justification

This chapter covers topics, such as, Generalization in Mathematics, The Need for Sampling, Laws of Logarithm & Solving Logarithmic Equations etc.

Generalization

This chapter covers topics, such as, Solution of a Quadratic Equation, Trigonometric Identities, Trigonometric Equations, Linear Equations & Rational Algebraic Equations etc.

Equivalence

This chapter covers topics, such as, Introduction to Rational Functions, Properties of Logarithmic Functions, Direct and Inverse Variation, Rearranging Formulas, Changing Graphs & Transformation of Functions etc.

Change

This chapter covers topics, such as, Area of a Triangle, Describing Space, Sine and Cosine Rule, Quadratic Functions, Finding Surface Area, Finding Volume & Properties of 3D Solids etc.

Space

This chapter covers topics, such as, Introduction of Sequence, Expanding and Factorizing, Series, Structure of Sequence, Series in Real Life & Series and Fractions etc.

Patterns

This chapter covers topics, such as, Measurements in Circle, Trigonometric Ratios, Introduction to Trigonometry & Introduction to Absolute Values etc.

Measurement

This chapter covers topics, such as, Bar Charts and Histograms, Solving Exponential Equations, Currency Exchange, Introduction to Logarithm & Natural Logarithms etc.

Quantity

This chapter covers topics, such as, Art of Simplification, Fractional Exponents & Simplifying Radicals etc.

Simplification

This chapter covers topics, such as, Probability, Measures of Central Tendency for Ungrouped Data, Normal Distribution & Introduction to Correlation etc.

Representation

This chapter covers topics, such as, Geometrical Deductions, Operations with Vectors, Vector Geometry & Introduction to Vectors etc.

Logic

This chapter covers topics, such as, Relations, Functions, Function Operations, Types of Functions, Composite Functions & Inverse Functions etc.

Relationships

This chapter covers topics, such as, Basics of Sets, Set Operations, Modelling Real-Life Problems using Venn Diagrams, Venn Diagrams, Numbers in Different Bases, Introduction to Forms & Performing Operations etc.

Form

This chapter covers topics, such as Introduction to Graph Theory, Paths, Walks and Trails & Applications of Graph Theory etc.

Graph Theory: Networks

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