1. Fractions with Pattern Blocks
Suzanne Evans

2. You will need . . .

3. Investigation
How many green triangles does it take to cover each pattern block piece below?

4. Discovery
How many green triangles does it take to cover each pattern block piece below? 6 3 2

5. 1 ? ? Investigation If the yellow hexagon represents 1 whole.=
Place the red trapezoids on the hexagon to find the answer.
What does the red trapezoid represent? ? =
What does the blue rhombus represent?
Place the blue rhombi on the hexagon to find the answer. ? =

6. Discovery 1 = 1 2 1 3

7. Compare: <, >, = 1 2 1 3 ? 1 2 1 6 ? 1 6 1 3 ?

8. Findings: <, >, = 1 2 1 3
> 1 2 1 6
> 1 6 1 3
<

9. Investigation 1 2 ? 6 ? 6 1 = = ? 6 ? 6 1 3 1 6 1 3 + = =

10. Discovery 1 2 3 6 6 1 = = 3 6 2 6 1 3 1 6 1 3 + = =

11. Investigation ? 6 ? 6 1 3 1 6 1 2 1 3 = + = + ? 6 ? 6 1 2 1 6 1 3 1 3 = = + +

12. Discovery 5 6 3 6 1 3 1 6 1 2 1 3 = + = + 4 6 4 6 1 2 1 6 = 1 3 1 3 = + +

13. Investigation 1 1 3 = ? ? = =

14. Discovery 1 1 3 = 3 5 6 2 1 2 = =

15. Pattern Blocks Riddle 1: I have red and blue tiles.
½ the items are blue.
3 are red.
Find my tiles.

16. Pattern Blocks Riddle 1: I have red and blue tiles.
½ the items are blue.
3 are red.
Find my tiles.

17. Pattern Blocks Riddle 2: I have 10 tiles.
3/10 of the items are yellow.
I have one more red than blue.
I have 2 green.
Find my tiles.

18. Pattern Blocks Riddle 2: I have 10 tiles.
3/10 of the items are yellow.
I have one more red than blue.
I have 2 green.
Find my tiles.

19. Pattern Blocks Design a new riddle. Use your Pattern Blocks to be
sure YOU know the answer.
Trade riddles with a partner.
Solve the new riddle.

20. Pattern Blocks Fraction Puzzle 1:
Build a triangle that is 1/3 green and 2/3 red.

21. Pattern Blocks Fraction Puzzle 1:
Build a triangle that is 1/3 green and 2/3 red.
Are there other solutions?

22. Pattern Blocks Fraction Puzzle 2:
Build a parallelogram that is that is 3/4 blue and 1/4 green.

23. Pattern Blocks Fraction Puzzle 2:
Build a parallelogram that is that is 3/4 blue and 1/4 green.
Are there other solutions?

24. Pattern Blocks Fraction Puzzles: Design your own fraction puzzle.
Use your blocks to be sure YOU know the answer.
Trade puzzles with a partner.
Solve the new puzzle.