Converting Foreign Currencies to Uganda Shillings

P6 Mathematics - Term II, Topic 7

Lesson 3 of 4

Learning Objectives:

• Convert US Dollars, British Pounds, Kenyan Shillings, and Tanzanian Shillings to Uganda Shillings
• Explain when to multiply and when to divide
• Describe the steps of converting foreign currency to Uganda currency
• Solve word problems involving conversion to UGX

Quick Review: Yesterday's Lesson

Converting UGX to Foreign Currency:

Example: 15,000 Shs → ? USD

• Exchange rate: 1 USD = 3,750 Shs
• Operation: DIVIDE
• Calculation: 15,000 ÷ 3,750 = 4 USD

Key Rule from Lesson 2:
UGX → Foreign Currency = DIVIDE

Today's Question: The Reverse Process

What if we start with foreign currency?

Example: Someone comes FROM America with 4 US Dollars and needs Uganda Shillings.

Question: If they have 4 USD, how many Shs will they get?
Exchange rate: 1 USD = 3,750 Shs

Think: Should we divide or multiply? Why?

The Answer: We MULTIPLY!

Converting Foreign Currency to UGX = MULTIPLY

Example: 4 USD → ? Shs

• If 1 USD = 3,750 Shs
• Then 4 USD = 4 × 3,750 = 15,000 Shs

Why multiply?
The rate tells us what 1 unit equals - for multiple units, we multiply!

Understanding the Two Conversion Directions

LESSON 2 (Yesterday) | LESSON 3 (Today)
UGX → Foreign | Foreign → UGX
15,000 ÷ 3,750 = 4 USD | 4 × 3,750 = 15,000 Shs
DIVIDE | MULTIPLY

Notice: Opposite operations, same numbers reversed!

The Key Rule: When to Multiply

Converting Foreign Currency to UGX = MULTIPLY

Formula:
Uganda Shillings = Foreign Currency × Exchange Rate

Why multiply?

• The rate tells us "1 foreign unit = X Shs"; for more units, we multiply
• Example: 5 USD means "5 groups of 3,750 Shs" = 18,750 Shs

Worked Example 1: USD to UGX

Problem: Convert 6 US Dollars to Uganda Shillings

STEP 1 - UNDERSTAND:

• Have: 6 USD. Want: Uganda Shillings.
• Exchange rate: 1 USD = 3,750 Shs

STEP 2 - PLAN:

• Multiply USD by the exchange rate: 6 × 3,750

Worked Example 1: USD to UGX (continued)

STEP 3 - WORK:
6 × 3,750 = 22,500

Working:

    3,750
  ×     6
  -------
   22,500

STEP 4 - ANSWER:

• Check: Does this make sense? 6 dollars should give us many shillings ✓
• Answer: 6 US Dollars = 22,500 Uganda Shillings

Worked Example 2: GBP to UGX

Problem: Convert 8 British Pounds to Uganda Shillings

UNDERSTAND:

• Have: 8 GBP
• Want: UGX
• Rate: 1 GBP = 4,850 Shs

PLAN:

• Multiply: 8 × 4,850

WORK:

• 8 × 4,850 = 38,800

ANSWER:

• 8 British Pounds = 38,800 Uganda Shillings

Worked Example 3: KES to UGX

Problem: Convert 150 Kenyan Shillings to Uganda Shillings

UNDERSTAND:

• Have: 150 KES
• Want: UGX
• Rate: 1 KES = 29 Shs

PLAN:

• Multiply: 150 × 29

WORK:

• 150 × 29 = 4,350

ANSWER:

• 150 Kenyan Shillings = 4,350 Uganda Shillings

Comparing the Two Operations Side by Side

Converting TO Foreign (Lesson 2):

• 22,500 Shs → ? USD
• 22,500 ÷ 3,750 = 6 USD
• DIVIDE (finding groups)

Converting TO UGX (Lesson 3):

• 6 USD → ? Shs
• 6 × 3,750 = 22,500 Shs
• MULTIPLY (finding total)

They're inverse operations!

Your Turn: Practice Problem 1

Problem: Convert 10 US Dollars to Uganda Shillings
(Exchange rate: 1 USD = 3,750 Shs)

Work individually in your exercise book:

• Use the four-step method
• Show all your working
• Write a complete sentence for your answer

You have 2 minutes!

Answer: Practice Problem 1 ✓

Solution:

UNDERSTAND: 10 USD → ? UGX, Rate: 1 USD = 3,750 Shs

PLAN: Multiply: 10 × 3,750

WORK: 10 × 3,750 = 37,500

ANSWER: 10 US Dollars = 37,500 Uganda Shillings

Complete sentence: Ten US Dollars equals thirty-seven thousand five hundred Uganda Shillings.

Word Problem 1: Receiving Money from Abroad

Problem:
Peter receives money from his uncle in America. His uncle sends him 12 US Dollars. How many Uganda Shillings will Peter get?
(1 USD = 3,750 Shs)

Let's solve together using the four steps!

Word Problem 1: Full Worked Solution

UNDERSTAND:

• Peter receives: 12 USD
• He wants to know: How many UGX?
• Exchange rate: 1 USD = 3,750 Shs

PLAN:

• Convert USD to UGX
• Use multiplication: 12 × 3,750

WORK:

• 12 × 3,750 = 45,000

ANSWER:
Peter will get 45,000 Uganda Shillings

Word Problem 2: Pair Work

Problem:
A tourist exchanges 5 British Pounds at a forex bureau in Kampala. How many Uganda Shillings will she receive?
(1 GBP = 4,850 Shs)

Work in pairs:

• Discuss each step, both write the solution
• Be ready to share your answer

You have 3 minutes!

Word Problem 2: Solution ✓

UNDERSTAND: Tourist has 5 GBP, wants UGX. Rate: 1 GBP = 4,850 Shs

PLAN: Multiply: 5 × 4,850

WORK: 5 × 4,850 = 24,250

ANSWER: She will receive 24,250 Uganda Shillings

Complete sentence: She receives 24,250 Uganda Shillings for 5 British Pounds.

Word Problem 3: Individual Practice

Problem:
James returns from Kenya with 200 Kenyan Shillings. He wants to convert them to Uganda Shillings. How much will he get?
(1 KES = 29 Shs)

Work individually:

• Use the four-step method
• Show all working clearly
• Write a complete answer sentence

You have 3 minutes!

Word Problem 3: Solution ✓

UNDERSTAND:

• James has: 200 KES
• Wants: UGX
• Rate: 1 KES = 29 Shs

PLAN:

• Multiply: 200 × 29

WORK:

• 200 × 29 = 5,800

ANSWER:
James will get 5,800 Uganda Shillings

Complete sentence: James will receive 5,800 Uganda Shillings when he converts 200 Kenyan Shillings.

When to Multiply vs. When to Divide

MULTIPLY when:

• Converting Foreign → UGX (starting with USD, GBP, KES, or TZS)
• Example: 5 USD → ? Shs (multiply!)

DIVIDE when:

• Converting UGX → Foreign (starting with Uganda Shillings)
• Example: 20,000 Shs → ? USD (divide!)

Practice Choosing Multiply or Divide

Say MULTIPLY or DIVIDE:

1. Convert 15 GBP to Shs → ?
2. Convert 30,000 Shs to USD → ?
3. Convert 100 KES to Shs → ?
4. Convert 7,250 Shs to KES → ?
5. Convert 8 USD to Shs → ?

What are you starting with?

Answers: Multiply or Divide? ✓

1. Convert 15 GBP to Shs → MULTIPLY
2. Convert 30,000 Shs to USD → DIVIDE
3. Convert 100 KES to Shs → MULTIPLY
4. Convert 7,250 Shs to KES → DIVIDE
5. Convert 8 USD to Shs → MULTIPLY

Pattern: Foreign currency? MULTIPLY. UGX? DIVIDE.

Comparing Values in Different Currencies

Problem: Which is worth more: 5 USD or 4 GBP?

To compare, convert both to UGX:

5 USD = ?

• 5 × 3,750 = 18,750 Shs

4 GBP = ?

• 4 × 4,850 = 19,400 Shs

Answer: 4 GBP is worth more! (650 Shs more than 5 USD)

Summary: Converting Foreign Currency to UGX

✓ Converting Foreign → UGX means MULTIPLY

✓ Formula: UGX = Foreign Currency × Exchange Rate

✓ Compare with Lesson 2: UGX → Foreign = DIVIDE

✓ Four-step method: UNDERSTAND - PLAN - WORK - ANSWER

The Complete Picture: Both Directions

CONVERSION RULES:

UGX → Foreign Currency

• DIVIDE by exchange rate
• Example: 15,000 Shs ÷ 3,750 = 4 USD

Foreign Currency → UGX

• MULTIPLY by exchange rate
• Example: 4 USD × 3,750 = 15,000 Shs

Remember: The operations are inverses (opposites)!

Looking Ahead to Tomorrow's Lesson

Lesson 4 Preview:

• Solving complex currency problems
• Multi-step word problems
• Comparing options and making decisions
• Combining both conversion directions
• Putting all your skills together!

Get ready for the grand finale of our Money topic!

Assessment: Converting Foreign Currency to UGX

Complete in your exercise book:

1. Convert 10 US Dollars to Uganda Shillings (1 USD = 3,750 Shs)

2. Convert 15,000 Uganda Shillings to British Pounds (1 GBP = 4,850 Shs)

3. Convert 250 Kenyan Shillings to Uganda Shillings (1 KES = 29 Shs)

Assessment: Word Problem and Reflection

4. A businesswoman exchanges 7 British Pounds to Uganda Shillings at a forex bureau. How many Uganda Shillings will she receive?

5. When converting foreign currency to Uganda Shillings, do we multiply or divide? Why?

You have 5 minutes total.

Homework Part A: Foreign Currency to UGX

1. Convert 9 USD to UGX (1 USD = 3,750 Shs)
2. Convert 6 GBP to UGX (1 GBP = 4,850 Shs)
3. Convert 300 KES to UGX (1 KES = 29 Shs)

Homework Part B: UGX to Foreign (Review)

4. Convert 26,250 UGX to USD (1 USD = 3,750 Shs)
5. Convert 1,740 UGX to KES (1 KES = 29 Shs)

Homework Part C: Word Problems

6. Grace receives 15 USD from her aunt in America. How many UGX is this?
7. A trader returns from Kenya with 400 KES. How many UGX will he get?
8. David has 29,100 UGX and wants goods from Britain worth 6 GBP. Does he have enough? Show your working.

Homework Part D: Reflection Question

9. Explain when you multiply and when you divide in currency conversion.

Expected time: 25-30 minutes