describe an activity that shows how you will teach length measured length measurement to pre-scholars developing the following:

a) transitive reasoning
b) unit iteration reasoning.

To teach length measurement to pre-scholars while developing transitive reasoning and unit iteration reasoning, you can incorporate a "Measuring Ribbon" activity. Here's how you can explain and conduct the activity:

Materials needed:
1. A long ribbon or string
2. Items of various sizes, such as books, blocks, toys, etc.

Activity Steps:

1. Introduction:
- Start by explaining the concept of length and how it is measured using units, like inches or centimeters. Keep the explanation simple and relatable for pre-scholars.
- Show them a ruler or a measuring tape to give them a visual understanding of measurement tools.

2. Demonstrating Transitive Reasoning:
- Choose three different items, such as a toy car, a book, and a block, each of varying lengths.
- Ask the children to line up the items and place the ribbon alongside them, starting and ending at the same point.
- Begin the activity by comparing the lengths of the items using the ribbon. For example, say, "The toy car is shorter than the book, and the book is shorter than the block."
- Engage the children in a discussion, asking them to observe and describe the lengths of the items, reinforcing the concept of transitive reasoning. For instance, "If the toy car is shorter than the book, and the book is shorter than the block, what can we say about the toy car and the block?"

3. Practicing Unit Iteration Reasoning:
- Introduce the concept of using a consistent unit, such as blocks or toy cars, to measure length.
- Select one item as the unit of measurement (e.g., a toy car).
- Ask the children to measure the length of the other chosen items using the unit selected. For example, "How many toy cars long is the book? How many toy cars long is the block?"
- Encourage the children to count and demonstrate the number of units required to measure each item accurately.
- Discuss the results as a group, emphasizing how different items have different lengths and how unit iteration helps measure those lengths.

4. Extension:
- After completing the activity with the chosen items, provide additional items of varying lengths for the pre-scholars to measure using unit iteration reasoning.
- You can create worksheets or handouts with pictures of objects and spaces to measure, encouraging children to practice independently or with minimal guidance.

By using this "Measuring Ribbon" activity, you will effectively engage pre-scholars in understanding and applying concepts of length measurement while developing transitive reasoning and unit iteration reasoning skills.