Problem Overview:
The task involves identifying fractions represented by shaded portions of various shapes and coloring them according to a provided color code. The color code is as follows:
-
Red: \( \frac{2}{3} \)
-
Orange: \( \frac{1}{2} \)
-
Yellow: \( \frac{1}{4} \)
-
Green: \( \frac{1}{3} \)
-
Blue: \( \frac{3}{4} \)
-
Purple: \( \frac{1}{5} \)
-
Black: \( 1 \) (whole shape)
We need to analyze each shape, determine the fraction of the shaded area, and then apply the appropriate color based on the color code.
---
Step-by-Step Solution:
#### 1.
Top Row:
-
Shape 1 (Hexagon):
- Total parts: 6
- Shaded parts: 4
- Fraction: \( \frac{4}{6} = \frac{2}{3} \)
- Color:
Red
-
Shape 2 (Cross):
- Total parts: 4
- Shaded parts: 2
- Fraction: \( \frac{2}{4} = \frac{1}{2} \)
- Color:
Orange
-
Shape 3 (Triangle):
- Total parts: 3
- Shaded parts: 1
- Fraction: \( \frac{1}{3} \)
- Color:
Green
-
Shape 4 (Hexagon):
- Total parts: 4
- Shaded parts: 2
- Fraction: \( \frac{2}{4} = \frac{1}{2} \)
- Color:
Orange
#### 2.
Second Row:
-
Shape 5 (Rectangle):
- Total parts: 3
- Shaded parts: 2
- Fraction: \( \frac{2}{3} \)
- Color:
Red
-
Shape 6 (Square):
- Total parts: 4
- Shaded parts: 1
- Fraction: \( \frac{1}{4} \)
- Color:
Yellow
-
Shape 7 (Rectangle):
- Total parts: 3
- Shaded parts: 2
- Fraction: \( \frac{2}{3} \)
- Color:
Red
#### 3.
Third Row:
-
Shape 8 (Cross):
- Total parts: 4
- Shaded parts: 1
- Fraction: \( \frac{1}{4} \)
- Color:
Yellow
-
Shape 9 (Circle):
- Total parts: 5
- Shaded parts: 1
- Fraction: \( \frac{1}{5} \)
- Color:
Purple
-
Shape 10 (Triangle):
- Total parts: 3
- Shaded parts: 2
- Fraction: \( \frac{2}{3} \)
- Color:
Red
#### 4.
Bottom Row:
-
Shape 11 (Triangles):
- Total parts: 2
- Shaded parts: 2
- Fraction: \( \frac{2}{2} = 1 \)
- Color:
Black
-
Shape 12 (Pentagon):
- Total parts: 5
- Shaded parts: 3
- Fraction: \( \frac{3}{5} \)
- Color:
Not in the color code (leave uncolored or mark as error)
-
Shape 13 (Circle):
- Total parts: 3
- Shaded parts: 1
- Fraction: \( \frac{1}{3} \)
- Color:
Green
---
Final Answer:
Based on the analysis, the shapes should be colored as follows:
1. Red: Shapes 1, 5, 7, 10
2. Orange: Shapes 2, 4
3. Yellow: Shapes 6, 8
4. Green: Shapes 3, 13
5. Purple: Shape 9
6. Black: Shape 11
Shape 12 does not match any fraction in the color code and should remain uncolored.
Final Answer:
\[
\boxed{
\text{Red: 1, 5, 7, 10; Orange: 2, 4; Yellow: 6, 8; Green: 3, 13; Purple: 9; Black: 11}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 2nd grade color worksheet.
