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* *Reflection: Real World Applications
Counting with Yen - Section 2: Finding the Correct Currency

Students have been working on breaking numbers apart to find the value of the digits. By trying to find the correct Japanese currency for a given amount they had to break the number apart. The activity helped me to see which students easily saw the hundreds, tens and ones and then beyond that who could break the tens into 50 plus so many tens, or the ones into 5 plus so many ones.

Breaking apart (decomposing) and putting numbers together (composing) is a Common Core skill that helps students better understand part-whole relationships (that each number contains other numbers within it). It is a skill that can be reinforced in so many different ways. Using coins was just one way to check for understanding while presenting a real life situation to students.

*Breaking Apart Numbers*

*Real World Applications: Breaking Apart Numbers*

# Counting with Yen

Lesson 5 of 5

## Objective: SWBAT take larger numbers apart and put them back together to find money amounts.

I hand out a sheet that has pictures of Japanese money and their values to each student. I ask them what they notice about the coins. (They are a 1,5,10, 50, 100, 500). We talk about what we have that is similar ( penny, nickel, dime, dollar bill and 5 dollar bill). When we discuss the 5 dollar bill, I ask students the value of the 5 dollar bill in pennies. I ask for a volunteer and when I have a student say 500, I write that on the board for comparison to the 500 yen piece.) I ask students what coin is missing (the quarter).

We discuss how 1 Yen is just about equal to 1 cent, 5 yen is about 5 cents, 10 yen is about 10 cents, 50 yen is about 50 cents, $1.00 = 100 cents = 100 yen and $5.00 = 500 cents or 500 yen.

We look at the 1,000 yen bill the 5,000 yen bill and the 10,000 yen bill. I write $10.00 on the board and then $50.00 and $100.00 on the board. I ask students what they notice about the two sets of numbers. 1,000 yen and 10.00 look the same if we remove the , or the . We look the same way at the 5,000 yen and the $50.00. Students now have an introduction to the equivalencies 1,000 yen is about 10.00, 5,000 yen is about 50.00 and 10,000 yen is about 100.00.

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#### Finding the Correct Currency

*15 min*

I bring out a flier from a Japanese newspaper. It is a grocery store flier and shows pictures of Japanese foods with prices in yen. We look first at a tomato for 398 yen. Together we use the reference sheet to choose 3 100 yen coins, 1 50 yen coin, 4 ten yen coins, 1 five yen coin and 3 one yen coins to equal 398 yen.

Next we look at the apple which is 590 yen. I ask students to use their reference page to record the currency they would use to pay for the apple. I circulate around to see if students are grasping the concept of breaking apart the 590 to find the correct coins.

We repeat the process with several other vegetables and fish from the flier.

#### Resources

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#### Shopping With Yen

*20 min*

I have created several word problems that have items students might buy if they traveled to Japan. I pass out the sheet and ask students to complete the word problems on their own using their Japanese money reference page as needed.

Students use a variety of strategies to solve the problems. I circulate around to provide support to students who may need help with the problems.

We close today by sharing the solutions for 1 or 2 problems.

#### Resources

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- UNIT 1: What and Where is Math?
- UNIT 2: Adding and Subtracting the Basics
- UNIT 3: Sensible Numbers
- UNIT 4: Sensible Numbers
- UNIT 5: Everything In Its Place
- UNIT 6: Everything in Its Place
- UNIT 7: Place Value
- UNIT 8: Numbers Have Patterns
- UNIT 9: Fractions
- UNIT 10: Money
- UNIT 11: The Numbers Are Getting Bigger
- UNIT 12: More Complex Numbers and Operations
- UNIT 13: Area, Perimeter and More Measurement
- UNIT 14: Length
- UNIT 15: Geometry
- UNIT 16: Getting Ready to Multiply
- UNIT 17: Getting Better at Addition and Subtraction
- UNIT 18: Strategies That Work