# The Transport Museum

## Overview

This chapter builds on students' understanding of multiplication and division through real-life contexts such as visiting a transport museum. It introduces strategies for constructing multiplication tables, identifying patterns, working with multiples of 10 and 100, and solving word problems related to transport and travel scenarios.

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## Key Topics Covered

### 1. **Mystery Matrix and Puzzle Grids**

* **Task**: Fill grids using 1-digit multiplicands and multipliers so the row and column products match the given totals.
* **Objective**: Develop logical reasoning and multiplication fluency.

### 2. **Times-10 Table and Visual Grouping**

* **Examples**:

* 2 × 10 = 20 ⇒ 2 Tens = 20
* 8 × 10 = 80 ⇒ 8 Tens = 80
* **Visual Aid**: Problems are matched with pictorial representation.
* **Objective**: Strengthen the understanding of base-10 multiplication.

### 3. **Constructing Larger Tables**

* **Split Strategy**:

* Example: 5 × 15 = 5 × 10 + 5 × 5 = 50 + 25 = 75
* **Times-15 Table**:

* Students construct full 15-times table.
* **Comparison with Times-5**:

* Explore patterns and similarities between the 5 and 15 tables.

### 4. **Using Doubling to Multiply**

* **Split and Double Method**:

* Example: 3 × 14 = 3 × 7 + 3 × 7 = 42
* 6 × 14 = Double of 6 × 7 = 84
* **Objective**: Learn how splitting can simplify complex multiplication.

### 5. **Multiples of 10 and 100**

* **Concept**:

* 14 × 10 = 14 Tens = 140
* 12 × 20 = 12 × 2 Tens = 24 Tens = 240
* **Expanded Form**:

* 26 × 10 = 20 Tens + 6 Tens = 260
* **Practice**: Multiple questions involving multiplying 2-digit numbers with 10 or 100.

### 6. **Division with Remainders**

* **Example**:

* 324 ÷ 14 = 23 coaches, remainder 2
* **Objective**: Understand long division and how to interpret remainders in practical contexts.

### 7. **Multiplying Large Numbers**

* **Breakdown Method**:

* 64 × 152 = (60 + 4) × (100 + 50 + 2) = 9728
* **Objective**: Apply distributive property to multiply large numbers.

### 8. **Real-Life Word Problems**

* **Transport Examples**:

* Seating in toy trains, buses, coaches
* Ticket cost calculations
* Brick production and sales
* Boat rides and dolphin viewing
* **Objective**: Apply math skills to real-world scenarios with relevance to transport.

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## New Terms and Simple Definitions

| Term | Definition |
| --------------------- | ---------------------------------------------------------- |
| Tens | Groups of 10 items |
| Hundreds | Groups of 100 items |
| Multiply | To increase a number by repeating it a set number of times |
| Divide | To split into equal parts |
| Remainder | What is left after division if not evenly divisible |
| Distributive Property | A way to multiply by breaking numbers into parts |

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## Practice Questions

### Easy (3)

1. 5 × 10 = \_\_\_\_ ➔ **Answer**: 50 ➔ 5 Tens = 50
2. 3 × 15 = \_\_\_\_ ➔ **Answer**: 45
3. 40 × 10 = \_\_\_\_ ➔ **Answer**: 400

### Medium (2)

4. 324 ÷ 14 = \_\_\_\_ ➔ **Answer**: 23 remainder 2
5. 15 × 14 = \_\_\_\_ ➔ **Answer**: 210

### Difficult (3)

6. 68 × 12 = \_\_\_\_ ➔ **Answer**: 816
7. 13 × 30 = \_\_\_\_ ➔ **Answer**: 390
8. 807 ÷ 24 = \_\_\_\_ ➔ **Answer**: 33 remainder 15

### Very Difficult (2)

9. 64 × 152 = \_\_\_\_ ➔ **Answer**: 9728 ➔ Using distributive method.
10. 14 × 500 = \_\_\_\_ ➔ **Answer**: 7000

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