Problem Analysis:
The task requires identifying the unit fraction represented by each shaded shape in Column A and matching it with the correct fraction symbol in Column B. A
unit fraction is a fraction where the numerator is 1, and the denominator represents the total number of equal parts into which the whole is divided.
Step-by-Step Solution:
####
1. Triangle (Shape 1):
- The triangle is divided into
3 equal parts, and
1 part is shaded green.
- This represents the fraction: \( \frac{1}{3} \).
- However, \( \frac{1}{3} \) is not listed in Column B. This suggests a potential error or oversight in the problem setup. Since we must match with the given options, we will proceed with the other shapes.
####
2. Octagon (Shape 2):
- The octagon is divided into
8 equal parts, and
1 part is shaded yellow.
- This represents the fraction: \( \frac{1}{8} \).
- Match this with option
b. \( \frac{1}{8} \).
####
3. Circle (Shape 3):
- The circle is divided into
4 equal parts, and
1 part is shaded pink.
- This represents the fraction: \( \frac{1}{4} \).
- Match this with option
a. \( \frac{1}{4} \).
####
4. Circle (Shape 4):
- The circle is divided into
5 equal parts, and
1 part is shaded orange.
- This represents the fraction: \( \frac{1}{5} \).
- Match this with option
d. \( \frac{1}{5} \).
####
5. Pentagon (Shape 5):
- The pentagon is divided into
5 equal parts, and
1 part is shaded red.
- This represents the fraction: \( \frac{1}{5} \).
- Match this with option
d. \( \frac{1}{5} \).
Final Matches:
1. Triangle (Shape 1): Not matched (no \( \frac{1}{3} \) in Column B).
2. Octagon (Shape 2): \( \frac{1}{8} \) →
b. \( \frac{1}{8} \).
3. Circle (Shape 3): \( \frac{1}{4} \) →
a. \( \frac{1}{4} \).
4. Circle (Shape 4): \( \frac{1}{5} \) →
d. \( \frac{1}{5} \).
5. Pentagon (Shape 5): \( \frac{1}{5} \) →
d. \( \frac{1}{5} \).
Notes:
- Shape 1 does not have a matching fraction in Column B. This could be an error in the worksheet.
- Shapes 4 and 5 both correspond to \( \frac{1}{5} \), so they share the same answer.
Final Answer:
\[
\boxed{
\text{1. Not matched, 2. b, 3. a, 4. d, 5. d}
}
\]
Parent Tip: Review the logic above to help your child master the concept of non unit fractions worksheet.