Page 9 - Geometric Patterns

2. If Mia’s plan is correct, use her plan to calculate the missing
output numbers.

3. Mia says, with the flow diagram it is easy to calculate the
number of squares in Picture 60 or in Picture 87 or in any
Picture number. Do you agree?

4. If you or your classmates have a different plan than Mia, write
it as a flow diagram.
5. Write your plans for each of these patterns as flow diagrams,
and calculate the number of squares in Picture 6, Picture 60
and Picture 87. Then compare your methods with some
classmates’ methods.

(a)

Picture 1 Picture 2 Picture 3 Picture 4 Picture 5

(b)

Picture 1 Picture 2 Picture 3 Picture 4 Picture 5

6. Make your own growing geometric pattern with squares.
(a) Draw the first four pictures.

(b) Calculate the number of squares in Picture 5, Picture 6,
Picture 50 and Picture 60.

(c) Now let some classmates solve your problem in (b) and
check if they are correct.