A teacher asked the students to "find the number of possible pentominoes using 5 square and then further explore the number of possible hexaminoes and so on".
These types of activities help the child to

Options

A. identify relation between number pattern and shapes
B. improve spatial ability
C. improve analytical ability
D. improve the observation skills

Answer

To solve the question regarding the teacher's activity with pentominoes and hexaminoes, we can break it down step by step.

### Step 1: Understanding Pentominoes
Pentominoes are shapes formed by joining five equal squares edge to edge. The first task is to determine how many distinct arrangements can be made with five squares.

### Step 2: Counting Distinct Pentominoes
There are 12 distinct pentominoes. These shapes can be rotated and flipped, but only the unique arrangements are counted.

### Step 3: Exploring Hexaminoes
Next, we consider hexaminoes, which are shapes formed by joining six equal squares edge to edge.

### Step 4: Counting Distinct Hexaminoes
There are 35 distinct hexaminoes. Similar to pentominoes, these shapes can also be rotated and flipped, but only the unique arrangements are counted.

### Step 5: Generalizing the Concept
The activity encourages students to explore the relationship between the number of squares used and the complexity of the shapes formed. As the number of squares increases, the number of possible arrangements also increases.

### Step 6: Identifying Learning Objectives
Through this activity, students develop several skills:
- **Spatial Ability**: Understanding how shapes fit together in space.
- **Analytical Skills**: Analyzing patterns and relationships between shapes.
- **Observational Skills**: Noticing details in the shapes and their arrangements.

### Conclusion
The teacher's activity is designed to help students identify the relationship between numbers, patterns, and shapes, enhancing their mathematical understanding and spatial reasoning.

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