The image shows a set of pattern blocks with different shapes and colors. The task appears to involve understanding fractions using these pattern blocks. Let's analyze each block and determine the fraction it represents relative to the yellow hexagon (which is typically considered the "whole" in such problems).
Step-by-Step Analysis:
1.
Yellow Hexagon:
- This is the reference shape, representing the whole (1).
- Area = 1 (by definition).
2.
Purple Hexagon:
- This hexagon is divided into 6 equal triangular sections.
- Each section represents \( \frac{1}{6} \) of the whole hexagon.
- Since the entire purple hexagon is shown, it also represents 1 whole.
3.
Blue Diamond:
- The blue diamond is composed of 2 rhombuses.
- Each rhombus is equivalent to \( \frac{1}{3} \) of the yellow hexagon.
- Therefore, the blue diamond represents \( \frac{2}{3} \) of the yellow hexagon.
4.
Brown Trapezoid:
- The brown trapezoid is divided into 2 equal parts.
- Each part represents \( \frac{1}{2} \) of the yellow hexagon.
- Since the entire trapezoid is shown, it represents \( \frac{1}{2} \) of the yellow hexagon.
5.
Red Parallelogram:
- The red parallelogram is equivalent to \( \frac{1}{3} \) of the yellow hexagon.
- This is because 3 parallelograms can fit into the yellow hexagon.
6.
Green Triangle:
- The green triangle is one of the smallest shapes.
- It represents \( \frac{1}{6} \) of the yellow hexagon.
- This is because 6 triangles can fit into the yellow hexagon.
Summary of Fractions:
-
Yellow Hexagon: \( 1 \)
-
Purple Hexagon: \( 1 \)
-
Blue Diamond: \( \frac{2}{3} \)
-
Brown Trapezoid: \( \frac{1}{2} \)
-
Red Parallelogram: \( \frac{1}{3} \)
-
Green Triangle: \( \frac{1}{6} \)
Final Answer:
\[
\boxed{\text{Yellow Hexagon: } 1, \text{ Purple Hexagon: } 1, \text{ Blue Diamond: } \frac{2}{3}, \text{ Brown Trapezoid: } \frac{1}{2}, \text{ Red Parallelogram: } \frac{1}{3}, \text{ Green Triangle: } \frac{1}{6}}
\]
Parent Tip: Review the logic above to help your child master the concept of pattern block fractions worksheet.
