1. Relate Shapes, Fractions, and Area
MAFS.3.G.1.2

2. Lesson Opening
What is the area of the square below?
= 1 square unit

3. What is the area of the square below?1 2 3 4
= 1 square unit
The area is 4 square units.

4. What FRACTION of the whole is 1 square unit?2 3 4
= 1 square unit
A square unit is 𝟏 𝟒 of the entire shape.

5. Can I divide the shape below into thirds?

6. What fraction of the shape does each part represent?
The pink part of the shape represents of the shape.

7. Can I divide the shape below into fourths?

8. Is each part the same size? How do you know?

9. Is each part the same size? How do you know?1 2 3
Each part is 3 square units.

10. What fraction is ONE of the parts of the whole?1 2 3
Each part represents of the whole shape.

11. If only 1 2 of a shape is shown below, can I draw the whole shape?

12. If only 1 2 of a shape is shown below, can I draw the whole shape?

13. Check to see that each part has the same area.

14. Check to see that each part has the same area.1 5 2 6 3 7 4 8

15. I could have drawn it this way also.

16. But I have to check to see that it has the same area.1 5 2 6 3 7 4 8

17. If only 1 4 of a shape is shown below, can I draw the whole shape?

18. If only 1 4 of a shape is shown below, can I draw the whole shape?

19. If only 1 4 of a shape is shown below, can I draw the whole shape?
Could I have drawn it a different way?

20. If only 1 4 of a shape is shown below, can I draw the whole shape?
Each part has the SAME area even though the parts are not congruent!

21. Your Turn
For #1-5, draw lines to divide the shape into parts with equal areas.
Write the fraction that each part of the shape represents.
For #6-10, draw the whole shape if given only a fraction of the shape.
For the Bonus Questions, partition each array into fourths as many different ways as you can.

22. Exit Ticket
One half of a shape is shown. What could the whole shape look like? a. b. c. d.