Problem Overview:
The task is to estimate the area of six shapes (A, B, C, D, E, F) using a 1 cm square grid and then list them in order from smallest to largest area.
Step-by-Step Solution:
####
Shape A:
- Shape A is a yellow shape with a curved top.
- Count the full squares covered by the shape.
- Estimate partial squares as fractions (e.g., half squares count as 0.5).
- Approximate total area:
30 cm².
####
Shape B:
- Shape B is a blue circle.
- Count the full squares covered by the circle.
- Estimate partial squares as fractions.
- Approximate total area:
28 cm².
####
Shape C:
- Shape C is a green shape with a wavy bottom.
- Count the full squares covered by the shape.
- Estimate partial squares as fractions.
- Approximate total area:
20 cm².
####
Shape D:
- Shape D is a light blue kite or diamond shape.
- Count the full squares covered by the shape.
- Estimate partial squares as fractions.
- Approximate total area:
35 cm².
####
Shape E:
- Shape E is a purple shape with a hole in the middle.
- Count the full squares covered by the outer boundary.
- Subtract the area of the inner hole.
- Outer area: ~40 cm².
- Inner hole area: ~10 cm².
- Net area:
30 cm².
####
Shape F:
- Shape F is an orange flower-like shape.
- Count the full squares covered by the shape.
- Estimate partial squares as fractions.
- Approximate total area:
15 cm².
Estimated Areas:
- Shape A:
30 cm²
- Shape B:
28 cm²
- Shape C:
20 cm²
- Shape D:
35 cm²
- Shape E:
30 cm²
- Shape F:
15 cm²
Ordering the Shapes by Area:
To list the shapes in order from smallest to largest area:
1.
F (15 cm²)
2.
C (20 cm²)
3.
B (28 cm²)
4.
A (30 cm²)
5.
E (30 cm²)
6.
D (35 cm²)
Final Answer:
\[
\boxed{F, C, B, A, E, D}
\]
Parent Tip: Review the logic above to help your child master the concept of year 5 maths worksheet.