Grade 2 · Time & Money · MAT-02-MONEY-001
Count Collections of Coins
Identify penny, nickel, dime, and quarter values.
Learning objectives
What you should be able to do
- Identify penny, nickel, dime, and quarter values.
- Count mixed coin collections using skip-counting and addition.
- Represent the same cent value with different coin combinations.
Prerequisite check
Make sure the foundation is ready.
Checks coin recognition and efficient counting strategies.
Learn
Build the idea from meaning, not memorization.
Coins have fixed values
A penny is1 cent, a nickel5 cents, a dime10 cents, and a quarter25 cents. The physical size of a coin does not determine its value.
Count larger-value coins first
A useful strategy is to count quarters, then dimes, nickels, and pennies. Skip-counting reduces the number of steps and helps organize mixed collections.
Different collections can have equal value
Two dimes and one nickel equal25 cents, the same value as one quarter. Money equivalence is about total value, not number of coins.
Use the cent symbol correctly
Amounts less than one dollar can be written with the cent symbol, such as37¢. The symbol tells the unit of the numerical amount.
Interactive math lab
Change it. See what stays true.
Ten-Frame Lab
Fill the frame from left to right and connect the visible amount to the numeral.
5 filled; 5 empty; 10 spaces altogether.
- group denominations
- count value
- make target
- find equivalent set
Worked examples
Twenty different ways to see the concept work.
3 pennies
3¢1+1+1.
2 nickels
10¢5+5.
4 dimes
40¢10+10+10+10.
1 quarter
25¢Quarter value.
1 dime+1 nickel
15¢10+5.
1 quarter+1 dime
35¢25+10.
1 quarter+2 nickels
35¢25+5+5.
2 dimes+3 pennies
23¢20+3.
3 nickels+4 pennies
19¢15+4.
2 quarters
50¢25+25.
3 quarters
75¢25,50,75.
4 quarters
100¢One dollar.
2 dimes+1 nickel
25¢Equivalent to quarter.
5 nickels
25¢Five groups of5.
10 pennies
10¢Equivalent to dime.
5 pennies
5¢Equivalent to nickel.
Quarter+dime+nickel+penny
41¢25+10+5+1.
Which worth more: dime or nickel?
dime10¢>5¢ despite dime being smaller.
Two coins total30¢.
quarter+nickel25+5.
Make40¢ two ways.
4 dimes; or quarter+dime+nickelDifferent coins, same value.
Practice
Guided practice with hints
01Quarter+2 dimes
Hint: 25+20.
Answer: 45¢
023 nickels+2 pennies
Hint: 15+2.
Answer: 17¢
032 quarters+1 dime
Hint: 50+10.
Answer: 60¢
04What equals one dime using pennies?
Hint: Ten1-cent coins.
Answer: 10 pennies
05What equals one quarter using dimes/nickels?
Hint: 20+5.
Answer: 2 dimes+1 nickel
06Why count large coins first?
Hint: Fewer jumps.
Answer: It organizes calculation efficiently.
Practice
Independent practice
012 dimes+1 nickel
Answer: 25¢
021 quarter+3 pennies
Answer: 28¢
033 nickels
Answer: 15¢
042 quarters+2 dimes
Answer: 70¢
0510 pennies
Answer: 10¢
065 nickels
Answer: 25¢
07Coin worth25¢
Answer: quarter
08Why size doesn't determine value
Answer: Coin denomination assigns value.
Common mistakes
Learn to catch the error, not just the answer.
Use denomination values, not physical size.
Add each denomination's value.
Group by denomination and count largest values first.
Applications & challenge
Use the idea beyond a single exercise.
Applications
- Count change in a small purchase.
- Build exact cent amounts with different coin combinations.
Challenge problems
Make35¢ three ways.
Examples: quarter+dime; quarter+2 nickels; 3 dimes+nickel.
Fewest coins for40¢?
quarter+dime+nickel =3 coins.
Why can five nickels equal one quarter?
5×5¢=25¢.
Can two coins make26¢?
Yes: quarter+penny.
Flashcards
Retrieve it from memory.
Flashcards
Card 1 of 6
Game mode
Coin Counter
Build target cent amounts using accurate coin values.
Practice
Mastery check
01Quarter value
Answer: 25¢
02Dime value
Answer: 10¢
03Nickel value
Answer: 5¢
04Quarter+dime+2 pennies
Answer: 37¢
052 quarters
Answer: 50¢
06What equals25¢ besides quarter?
Answer: Example2 dimes+1 nickel.
07Why coin size can mislead
Answer: Physical size is not denomination value.
08Efficient mixed-count strategy
Answer: Group/count larger denominations first.
Terminology
Words to know
- cent
- One hundredth of a dollar.
- denomination
- The stated monetary value of a coin or bill.
- equivalent
- Having the same total value.
- collection
- A group of coins counted together.
Continue learning
Connected concepts
Curriculum references
Standards and instructional references
California Common Core State Standards for Mathematics — 2.MD.C.8
Money problems involving dollar bills and common coins.