Page 21 - Revised Maths Wisdom Class - 6

Patterns in Mathematics 19

6. Observe the geometrical pattern and answer the following questions.

?

(a) Write down the number of sticks used in each of the iterative pattern.

(b) Draw the next figure in the pattern also find the total number sticks used in it.

VOCABULARY
VOCABULARY
Pattern Visualise Consecutive Shapes Polygon

ACTIVITY TIMECTIVITY TIME
A

Objective: To understand the rules of a magic square of 3 × 3.
Materials Required: A cardboard/chart paper, coloured paper, fevicol, sketch pens and a pair of scissor.

Procedure: 1. Take a chart paper or cardboard of size 12 cm × 12 cm.
2. Paste a coloured paper on the cardboard.
3. Make a 3 × 3 square on it with sketch pen as shown in Figure 1.

4. Choose any multiple of 3 as a constant. Let it be 21.
5. Put the number 21 ÷ 3, i.e., 7 called the central number in the middle cell C (Figure 2).
5
6. Add 1 to the central number and subtract 1 from the central number. Put these numbers in C and
3
C respectively.
7
7. Add 2 to central number and subtract 2 from it. Put these numbers to the right (C ) and left (C )
4
6
of the central number.
8. Add 3 to the central number and subtract 3 from the central number. Put these numbers in
C and C .
1 9
9. Add 4 to the central number and subtract 4 from the central number. Put these numbers in C and
8
C respectively.
2
10. Your magic square is ready. Verify it (Figure 3).
Observation :

A 3 × 3 square Central number = C
1

C C C 10 3 8
1 2 3

C C C 5 7 9
4 5 6

C C C 6 11 4
7 8 9
Figure 1 Figure 2 Figure 3