# New Discovering Mathematics Pack (Sec 4)

**Key Features:**

**Chapter openers**: introduces the chapters by proving real-world context, focusing on the relevance of mathematics in our daily lives. Students can explore the subject further, fostering interest in mathematics. the learning objective for each chapter are provided in this section**Activity**: enhances students’ learning experiences through exploration and discovery by guiding them through relevant tasks**Worked Example**: illustrates the steps in solving mathematical problems to help students understand a concept or skill. Analysis in difficult problems guides students in unpacking the information and making sense of it.**Try it yourself**: provides a similar mathematical problem to the worked example for students to practise and consolidate their understanding.**Practice exercise**: Provide exercises with different difficulty levels (basic mastery, intermediate, advanced) for further practice**Let’s sum up!**: highlights important concepts, formulae , properties and rules for quick revision**Review Exercise**: provides a further exercise to reinforce understanding and consolidate learning for each chapter**Maths Journals**: encourages students to reflect on and communicate about the learning experiences.**Revision Exercise**: test mastery of what has been learnt with problems that integrate concepts and skills aught across topics.**Think^2**: ask questions that encourages reflection on learning to promote development of metacognitive skills**Problems in real-world context**: gives students opportunities to explore, model and solve problems in real life situations , allowing them to realise the relevance and utility of mathematics in our daily lives

*Note: Answer key is included.*

**Textbook & Workbook A**

Chapter 1 Set Language and Notation

- Set Language
- Venn Diagrams and Complement of a Set
- Intersection and Union of Sets

Chapter 2 Data Analysis - Measures of Spread

- Cumulative Frequency Diagrams
- Range, Quartiles, Interquartile Range and Percentiles
- Box-and-Whisker Plots
- Standard Deviation for Ungrouped Data
- Standard Deviation for Grouped Data

Chapter 3 Probability

- Probability of Simple Combined Events
- Mutually Exclusive Events and Addition Law of Probabilities
- Independent Events and Multiplication Law of Probabilities

Revision Exercise 1

Chapter 4 Matrices

- Definition of a Matrix
- Addition and Subtraction of Matrices
- Matrix Multiplication
- Applications of Matrices

Problems in Real-world Contexts

**Textbook & Workbook B**

Chapter 5 Vectors in Two Dimensions

- Introduction to Vectors
- Addition and Subtraction of Vectors
- Scalar Multiplication of Vectors
- Position Vectors
- Applications of Vectors

Revision Topic 1 - Numbers and Percentage

Revision Topic 2 - Ratio and Proportion

Revision Topic 3 - Rate and Speed

Revision Topic 4 - Algebraic Manipulation and Formulae

Revision Topic 5 - Equations and lnequalities

Revision Topic 6 - Coordinate Geometry, Functions and Graphs

Revision Topic 7 - Angles, Polygons, Congruence, Similarity and Geometrical Constructions

Revision Topic 8 - Pythagoras' Theorem and Trigonometry

Revision Topic 9 - Mensuration

Revision Topic 10 - Properties of Circles

Revision Topic 11 - Set Language and Matrices

Revision Topic 12 - Vectors in Two Dimensions

Revision Topic 13 - Statistics and Probability

Problems in Real-world Contexts

Answer Key

Complete series contain:

- Textbooks (A/B)
- Workbooks (A/B)