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New Discovering Mathematics Textbook 3A


Key Features:

  1. 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

  2. Activity: enhances students’ learning experiences through exploration and discovery by guiding them through relevant tasks

  3. 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.

  4. Try it yourself: provides a similar mathematical problem to the worked example for students to practise and consolidate their understanding.

  5. Practice exercise: Provide exercises with different difficulty levels (basic mastery, intermediate, advanced) for further practice

  6. Let’s sum up! : highlights important concepts, formulae , properties and rules for quick revision

  7. Review Exercise: provides a further exercise to reinforce understanding and consolidate learning for each chapter

  8. Maths Journals: encourages students to reflect on and communicate about the learning experiences.

  9. Revision Exercise: test mastery of what has been learnt with problems that integrate concepts and skills aught across topics.

  10. Think^2: ask questions that encourages reflection on learning to promote development of metacognitive skills

  11. 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

No. of pages: 300


Chapter 1 More About Quadratic Equations and Quadratic Functions

  • Solving Quadratic equations by completing the square
  • Solving Quadratic equations by Quadratic Formula
  • Solving Quadratic equations by graphical method
  • Solving Fractional equations that can be reduced to quadratic equations
  • Solving real world problem involving quadratic equations
  • sketching the graphs of quadratic functions
  • POP QUIZ 1A &B

Chapter 2 More About Linear inequalities

  • Notations and basic properties of inequalities
  • Simultaneous Linear Inequalities
  • Application of simultaneous linear inequalities

Chapter 3 Indices

  • Positive integer indices and laws of indices
  • zero and negative integer indices
  • Fractional Indices
  • Solving equation involving indices
  • standard form
  • application of indices to compound interest
  • POP QUIZ 3

Chapter 4 Coordinate Geometry

  • Gradient of a Straight line
  • Equation of a Straight line
  • Length of a line segments
  • geometric problems involving the use of coordinates
  • POP QUIZ 4

Chapter 5 Function and graphs

  • Graph of power functions 
  • graph of exponential functions
  • gradient of curves
  • graphs of simple sums of power functions
  • graph in practical situations
  • POP QUIZ 5

Chapter 6 Conditions of Congruence and Similarity

  • Congruence Tests
  • Similarity Tests
  • Ratio of areas of similar plane figure
  • Ratio of volume of similar solids
  • perpendicular bisectors, angle bisectors and scale drawing
  • POP QUIZ 6

Complete series contain:

  1. Textbooks (A/B)
  2. Workbooks (A/B)