Visualising, comparing and contrasting: number systems

Resource 6: Examples of Activity 3

Adapting Exercise 1.6 (p. 26 in NCERT textbook Class IX, Chapter 1)

Exercise 1.6

1. Find: (i) (ii) (iii)
2. Find: (i) (ii) (iii) (iv)
3. Simplify: (i) (ii) (iii) (iv)

Adapt by asking the students these additional questions:

  • What is the same and what is different in the methods for solving these questions?
  • Make up two additional parts for Questions 1, 2 and 3 above. One of these questions has to be easy and one has to be hard. Make sure you can work out the solution yourself!

Adapting Exercise 1.2, Question 1 (p. 8 in NCERT textbook Class IX, Chapter 1)

Exercise 1.2

  1. State whether the following statements are true or false. Justify your answers.
    1. Every irrational number is a real number.
    2. Every point on the number line is of the form , where m is a natural number.
    3. Every real number is an irrational number.

Adapt this exercise by asking the students these additional questions:

  • How do you know you are right?
  • Now try and convince your partner of the opposite of what you think are the correct answers for Question 1.