Making Change

Lesson 5

Mathematics – MAT1L

Unit 1 – Lesson 5

Lesson Five Concepts Represent a given coin or bill as a combination of other coins or bills. Identify different combinations of coins and bills that would result in a given amount of money. Make the correct change for an offered amount with and without concrete materials. Communicate, orally and in writing, the solutions to money problems and the results of investigations, using appropriate terminology, symbols, and form.

Represent money in different denominations. Denomination: the value of a certain unit of money. Example a.

Represent in two different ways a $5.00 bill as a combination of other coins or bills. Answer: #1 2 $2 coins and 1 $1 coin. #2 5 $1 coins

b.

Identify 2 different combinations of coins and bills that would result $23.73. Answer: #1 1 $20 dollar bill, 1 $2 coin, 1 $1 coin, 2 quarters, 2 dimes and 3 pennies. #2 2 $10 dollar bills, 3 $1 coins, 7 dimes, and 3 pennies.

Support Questions 1.

Represent in two different ways a $10.00 bill as a combination of at least 4 different coins or bills.

2.

Represent in two different ways a $100.00 bill as a combination of at least 5 different coins or bills.

3.

Represent in two different ways a $2.00 coin as a combination of at least 3 different coins.

4.

Represent in two different ways a $1.00 coin as a combination of at least 3 different coins.

5.

Identify 2 different combinations of coins and bills that would result $71.25.

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Mathematics – MAT1L

Unit 1 – Lesson 5

6.

Identify 2 different combinations of coins and bills that would result $18.64.

7.

Identify 2 different combinations of coins and bills that would result $234.98.

Making Change Example a.

What change should be given when $25.00 is tendered for a purchase of $21.34?

Tendered means “how much did money was given to the cashier to pay a purchase.

Answer: 25 – 21.34 = $3.64 b.

What is the minimum number of coins/bills and how many of each denomination should be given back by a cashier when $20.00 is tendered for a purchase of 17.24? Answer: 5 coins/bills; 1 $2 coins, 3 quarters and 1 penny.

Support Questions 8.

What change should be given when $120.00 is tendered for a purchase of $105.61?

9.

What change should be given when $22.00 is tendered for a purchase of $20.91?

10.

What change should be given when $200.00 is tendered for a purchase $171.55?

11.

What is the minimum number of coins/bills and how many of each denomination should be given back by a cashier when $50.00 is tendered for a purchase of $38.73?

12.

What is the minimum number of coins/bills and how many of each denomination should be given back by a cashier when $100.00 is tendered for a purchase of $66.79?

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Mathematics – MAT1L

Unit 1 – Lesson 5

Key Question #5 1.

Represent in two different ways a $20.00 bill as a combination of at least 4 different coins or bills.

2.

Represent in two different ways a $50.00 bill as a combination of at least 5 different coins or bills.

3.

Represent in two different ways a $5.00 bill as a combination of at least 3 different coins.

4.

Represent in two different ways a $10.00 coin as a combination of at least 4 different coins.

5.

Identify 2 different combinations of coins and bills that would result $51.30.

6.

Identify 2 different combinations of coins and bills that would result $16.91.

7.

Identify 2 different combinations of coins and bills that would result $182.79.

8.

What change should be given when $75.00 is tendered for a purchase of $70.43?

9.

What change should be given when $50.00 is tendered for a purchase of $18.34?

10.

What change should be given when $200.00 is tendered for a purchase $109.67?

11.

What is the minimum number of coins/bills and how many of each nomination should be given back by a cashier when $60.00 is tendered for a purchase of $43.18?

12.

What is the minimum number of coins/bills and how many of each nomination should be given back by a cashier when $100.00 is tendered for a purchase of $82.65.?

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Mathematics – MAT1L

Unit 1 – Lesson 5

Key Question #5 (con’t) 13.

You have the following money available for each purchase:

What would you offer to get rid of the most coins/bills from each purchase? a. $6.32 14.

b. $24.73

c. $44.27

d. $27.91

Kristen has to pay for a purchase that is $9.28. Why might Kristen pay with just a $10 bill and why might Kristen pay with a $10 bill, 1 quarter and 1 nickel?

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