MAFS.2.MD.3.8  Solve one- and two-step word problems involving dollar bills (singles, fives, tens, twenties, and hundreds) or coins (quarters, dimes, nickels, and pennies) using $ and ¢ symbols appropriately. Word problems may involve addition, subtraction, and equal groups situations1. Example: The cash register shows that the total for your purchase is 59¢. You gave the cashier three quarters. How much change should you receive from the cashier?

d. Relate the value of pennies, nickels, dimes, and quarters to other coins and to the dollar (e.g., There are five nickels in one quarter. There are two nickels in one dime. There are two and a half dimes in one quarter. There are twenty nickels in one dollar).

(1See glossary Table 1)

Cognitive Complexity Level: 2 – Basic Application of Skills and Concepts

[divider] [/divider] Students are able to… 

  • Tell how much a penny, nickel, dime, and quarter are worth
  • Tel how much a one dollar bill, five dollar bill, etc are worth
  • Explain that there are 10 pennies in a dime and 100 pennies in a dollar, there are 5 nickels in a quarter and 20 nickels in a dollar, etc.

[divider] [/divider] Students are able to…because teachers:

  • Provide students with opportunities to discuss the value of coins
  • Provide opportunities for students to trade coins in for other coins of equal value
  • Model using number bonds to show how coins can be decomposed. For example, a dime can show that ten is ten ones or ten can be two fives.

 [divider] [/divider] Questions to ask students:

  • Ask:  I want to buy a piece of candy that costs a quarter.  I only have nickels in my wallet.  How many nickels will I need to buy the candy?  Explain your thinking.
    • Sample answer that would indicate understanding:  You need 5 nickels because a quarter is 25 cents.  A nickel is five cents. 5, 10, 15, 20, 25
    • Sample answer that indicates an incomplete understanding or a misconception:  You need 25 nickels, because a quarter is worth 25 cents.  
  • Ask: I have a dollar in my wallet, but it is all dimes.  How many dimes are in my wallet?  Explain your thinking.
    • Sample answer that would indicate understanding:  You have 10 dimes.  A dollar is 100 cents and a dime is worth ten cents.  10, 20, 30, 40, 50, 60 ,70, 80, 90, 100Sample answer that indicates an incomplete understanding or a misconception:  You have 100 dimes, because a dollar is 100 cents.

[divider] [/divider] Additional Resources:

Additional in depth content knowledge

[divider] [/divider] Sample Formative Assessment Tasks:

Note: This task should be implemented individually.

  1. The teacher places the coins on the table in front of the student with some of the coins facing up (i.e., showing heads) and some facing down. The teacher says, “I am going to call out the name of a coin and I want you to show me that coin. You may touch the coins and look at them more closely if you think this will help you.”
  2. The teacher then says the name of each coin while allowing the student ample time to identify the coin that was named.
  3. For each coin the student correctly identifies, ask the student to name the coin’s value in cents, for example, “How many cents are in a nickel?”

Note: This task may be implemented individually or in small groups.

  1. The teacher provides the student with the Relating Coins worksheet and says, “We are going to relate the value of some coins to the values of other coins and to the dollar bill. You may use the coins you have to help you.”
  2. The teacher asks follow-up questions as needed

MFAS_RelatingCoinsWorksheet.docx

[divider] [/divider] Resources/Tasks to Support Your Child at Home:

  • Using shopping ads, give your child story problems involving the money in the ad.  Have them draw quick pictures or use actual money to model the problem and solve.
  • Have your child match coins to other combinations of coins that make that same value.  Encourage them to find all possible combinations for a given coin amount.
  • Khan Academy: Counting Coins
  • Khan Academy: Counting Dollars