Question 2 - Patterns in Shapes - Chapter 1 Class 6 - Patterns in Mathematics (Ganit Prakash)

Transcript

Question 2 Try and redraw each sequence in Table 3 in your notebook. Can you draw the next shape in each sequence? Why or why not? After each sequence, describe in your own words what is the rule or pattern for forming the shapes in the sequence.Let’s do one by one 1. Regular Polygons Next shape: 11-sided polygon Rule: Add one side each time 2. Complete Graphs Yes, next graph: K₇ Rule: Add one point, connect it to all others 3. Stacked Squares Yes, next: 6×6 grid (36 squares) Rule: Add 1 row and 1 column each time → square numbers 1. Regular Polygons Next shape: 11 sided polygon Rule: Add one more side in the diagram 2. Complete Graphs (K₂ to K₆) Next graph: K₇ Rule: Add one more point, connect it to all others 3. Stacked Squares Next: 6 × 6 grid (36 squares) Rule: Add 1 row and 1 column each time → square numbers 4. Stacked Triangles Next: 6 rows of triangles Rule: Add one more triangle per row 5. Koch Snowflake Hard to draw next fully Rule: Replace each line with 4 bumps Here, Number of lines = 3 × Powers of 4