Count the number of sides in each shape in the sequence of Regular Polygons

Count the number of sides in each shape in the sequence of Regular Polygons Class 6

Question 1.

Count the number of sides in each shape in the sequence of Regular Polygons. Which number sequence do you get? What about the number of corners in each shape in the sequence of Regular Polygons? Do you get the same number sequence? Can you explain why this happens? Class 6

Solution:

Sequence of shapes of sides 3, 4, 5, 6, 7, 8, 9, 10.

Question 2.

Count the number of lines in each shape in the sequence of Complete Graphs. Which number sequence do you get? Can you explain why? Class 6

Solution:

Sequence of sides 1, 3, 6, 10, 15,... (i.e., triangular numbers).

Question 3.

How many little squares are there in each shape of the sequence of Stacked Squares? Which number sequence does this give? Can you explain why? Class 6

Solution:

Sequence of square numbers 1, 4, 9, 16, 25, ...