Count Coin Values by 2s, 5s and 10s | 1st Grade Math

Count Coin Values by 2s, 5s and 10s - Grade 1 Math
Grade 1 Math  ›  U.S. & State Extensions  ›  Lesson 31
Grade 1 Math - U.S. Money

Count Coin Values by 2s, 5s and 10s

Use skip-counting relationships to find the value of collections of pennies, nickels, and dimes. Count paired pennies by 2s, nickels by 5s, and dimes by 10s.

Students also combine simple coin groups and use efficient counting order to determine collection values up to 120 cents.

Paired pennies · count by 2s Nickels · count by 5s Dimes · count by 10s Coin collections 1st Grade Math

๐ŸŽฏ What You Will Learn

Count paired pennies by 2s
Two pennies are worth 2¢, so pairs can be counted by 2s.
Count nickels by 5s
Each nickel adds 5¢ to the total.
Count dimes by 10s
Each dime adds 10¢ to the total.
Count simple mixed collections
Start with larger coin values, then add smaller ones.
For parents & teachers — standards alignment: Texas Grade 1 TEKS 1.4(C) directly requires students to use relationships to count by twos, fives, and tens to determine the value of a collection of pennies, nickels, and/or dimes. This lesson follows that expectation closely: paired pennies can be counted by 2s, nickels by 5s, and dimes by 10s; in mixed collections, pennies may also be added by ones when needed. The Grade 1 collection value remains within 120 cents. Quarters were introduced in Lesson 30, but they are not part of the core TEKS 1.4(C) collection-counting scope used here. Common Core Grade 1 does not include an equivalent standalone coin-counting standard; Common Core money work appears explicitly in Grade 2 CCSS 2.MD.C.8.

๐Ÿง  Key Vocabulary

coin collection — a group of coins whose total value you want to find.
paired pennies — pennies grouped two at a time; each pair is worth 2¢.
nickel — a coin worth 5¢.
dime — a coin worth 10¢.
total value — the number of cents all the coins are worth together.
skip count — add the same amount repeatedly while counting.

๐Ÿช™ Three Useful Counting Strategies

Paired Pennies → by 2s
2¢ 4¢ 6¢ 8¢
Nickels → by 5s
5¢ 10¢ 15¢ 20¢
Dimes → by 10s
10¢ 20¢ 30¢ 40¢
Important: a penny is worth 1¢, not 2¢. We count paired pennies by 2s because each pair contains two 1¢ pennies. A nickel is worth 5¢, and a dime is worth 10¢.

๐Ÿ”„ Count Mixed Collections Efficiently

For a simple mixed collection, it is often easier to begin with dimes, then count nickels, and finish with paired pennies or single pennies. Keep track of the running total in cents.

1. DimesAdd 10¢ for each dime.
2. NickelsAdd 5¢ for each nickel.
3. PenniesAdd penny pairs by 2¢, then any single penny by 1¢ if needed.
Connection to Lesson 29: the same skip-counting patterns are now being used with real coin values. The counting amount must match the value being added.

๐ŸŒŸ 25 Worked Examples

Try to count efficiently first. Then open “Show solution” to check your reasoning.
1Count penny pairs by 2s
Eight pennies are arranged as 4 pairs. Count the value by 2s.
Show solutionHide solution

Each pair of pennies is worth 2¢. Count 2, 4, 6, 8. The collection is worth 8¢.

2Count nickels by 5s
There are 4 nickels. What is their total value?
Show solutionHide solution

Each nickel is worth 5¢. Count 5, 10, 15, 20. The value is 20¢.

3Count dimes by 10s
There are 6 dimes. What is their total value?
Show solutionHide solution

Each dime is worth 10¢. Count 10, 20, 30, 40, 50, 60. The value is 60¢.

4Count six pennies in pairs
Six pennies are arranged into 3 pairs. What is the total value?
Show solutionHide solution

Count the 3 penny pairs by 2s: 2, 4, 6. The total is 6¢.

5Count seven nickels
What is the value of 7 nickels?
Show solutionHide solution

Count by 5s seven times: 5, 10, 15, 20, 25, 30, 35. The value is 35¢.

6Count eight dimes
What is the value of 8 dimes?
Show solutionHide solution

Count by 10s eight times: 10, 20, 30, 40, 50, 60, 70, 80. The value is 80¢.

7Choose the rule for pennies in pairs
Ten pennies are grouped into 5 pairs. Which skip-counting rule is useful?
Show solutionHide solution

Each pair is worth 2¢, so count the pairs by 2s.

8Choose the rule for nickels
A collection contains only nickels. Which skip-counting rule matches the value of each coin?
Show solutionHide solution

A nickel is worth 5¢, so count by 5s.

9Choose the rule for dimes
A collection contains only dimes. Which skip-counting rule matches the value of each coin?
Show solutionHide solution

A dime is worth 10¢, so count by 10s.

10Find a missing nickel total
Count nickels: 5¢, 10¢, 15¢, __, 25¢. What is missing?
Show solutionHide solution

The pattern adds 5¢ each time. The missing value is 20¢.

11Find a missing dime total
Count dimes: 10¢, 20¢, __, 40¢, 50¢. What is missing?
Show solutionHide solution

The pattern adds 10¢ each time. The missing value is 30¢.

12Find a missing penny-pair total
Count penny pairs: 2¢, 4¢, __, 8¢, 10¢. What is missing?
Show solutionHide solution

The pattern adds 2¢ for each pair. The missing value is 6¢.

13Mix dimes and nickels
A collection has 3 dimes and 2 nickels. What is the total value?
Show solutionHide solution

Count the dimes: 10, 20, 30¢. Then add the nickels: 35, 40¢. The total is 40¢.

14Mix dimes and pennies
A collection has 2 dimes and 6 pennies arranged as 3 pairs. What is the total value?
Show solutionHide solution

Two dimes are 20¢. Count 3 penny pairs by 2s: 22, 24, 26¢. The total is 26¢.

15Mix nickels and penny pairs
A collection has 3 nickels and 4 pennies arranged as 2 pairs. What is the total value?
Show solutionHide solution

Three nickels are 15¢. Add the penny pairs by 2s: 17¢, 19¢. The total is 19¢.

16Count dimes, nickels, then pennies
A collection has 2 dimes, 1 nickel, and 4 pennies arranged as 2 pairs. What is the total?
Show solutionHide solution

Count 2 dimes to 20¢, add 1 nickel to get 25¢, then count the penny pairs: 27¢, 29¢. Total: 29¢.

17Use a known coin relationship
Four nickels have the same total value as how many cents?
Show solutionHide solution

Count by 5s: 5, 10, 15, 20. Four nickels are worth 20¢.

18Use dime relationships
Five dimes have a total value of how many cents?
Show solutionHide solution

Count by 10s: 10, 20, 30, 40, 50. Five dimes are worth 50¢.

19Count twelve nickels
What is the value of 12 nickels?
Show solutionHide solution

Count by 5s twelve times to 60¢.

20Count twelve dimes
What is the value of 12 dimes?
Show solutionHide solution

Count by 10s twelve times to 120¢.

21Find the number of nickels from a total
A nickel-only collection is worth 25¢. How many nickels are there?
Show solutionHide solution

Count by 5s: 5, 10, 15, 20, 25. That is 5 nickels.

22Find the number of dimes from a total
A dime-only collection is worth 70¢. How many dimes are there?
Show solutionHide solution

Count by 10s: 10, 20, 30, 40, 50, 60, 70. That is 7 dimes.

23Find the number of penny pairs
A collection of pennies is arranged in pairs and has a value of 12¢. How many pairs are there?
Show solutionHide solution

Count by 2s: 2, 4, 6, 8, 10, 12. There are 6 pairs, or 12 pennies.

24Check a student's count
A student counts 4 nickels as 5¢, 10¢, 15¢, 25¢. Is the count correct?
Show solutionHide solution

No. The student skipped 20¢. The correct count is 5¢, 10¢, 15¢, 20¢.

25Explain the three strategies
Explain when counting by 2s, 5s, and 10s is useful with pennies, nickels, and dimes.
Show solutionHide solution

Use 2s for paired pennies, 5s for nickels, and 10s for dimes. In mixed collections, count higher-value coins first and then add the smaller values.

๐ŸŽฎ Independent Practice — 30 Problems

  1. Eight pennies are arranged as 4 pairs. Count by 2s to find the total value.
  2. What is the value of 5 nickels?
  3. What is the value of 4 dimes?
  4. Ten pennies are arranged as 5 pairs. What is their total value?
  5. What is the value of 9 nickels?
  6. What is the value of 7 dimes?
  7. Complete the penny-pair pattern: 2¢, 4¢, __, 8¢, 10¢.
  8. Complete the nickel pattern: 5¢, 10¢, 15¢, __, 25¢.
  9. Complete the dime pattern: 10¢, 20¢, 30¢, __, 50¢.
  10. Which rule is useful for 6 paired pennies: by 2s, 5s, or 10s?
  11. Which rule is useful for a nickel-only collection: by 2s, 5s, or 10s?
  12. Which rule is useful for a dime-only collection: by 2s, 5s, or 10s?
  13. A collection has 2 dimes and 2 nickels. What is the total value?
  14. A collection has 3 dimes and 1 nickel. What is the total value?
  15. A collection has 1 dime and 4 pennies arranged as 2 pairs. What is the total value?
  16. A collection has 2 nickels and 6 pennies arranged as 3 pairs. What is the total value?
  17. A collection has 1 dime, 2 nickels, and 4 pennies arranged as 2 pairs. What is the total value?
  18. A collection has 4 dimes and 3 nickels. What is the total value?
  19. What is the value of 10 nickels?
  20. What is the value of 10 dimes?
  21. A nickel-only collection is worth 30¢. How many nickels are there?
  22. A dime-only collection is worth 80¢. How many dimes are there?
  23. Paired pennies total 14¢. How many pairs are there?
  24. True or false: You should count nickels by 5s.
  25. True or false: You should count dimes by 10s.
  26. True or false: One penny is worth 2¢.
  27. A student counts 5 nickels: 5, 10, 15, 20, 25. Is the total correct?
  28. A student counts 3 dimes: 10, 20, 40. What value did the student skip?
  29. In the strategy used in this lesson, which do you count first in a mixed collection: dimes or pennies?
  30. Extension: Explain why grouping pennies into pairs can make counting a large penny collection faster.

๐Ÿ† Lesson Test — 15 Questions

  1. Starting at 0¢, make 7 jumps of 2¢ for 7 penny pairs. On what total do you land?
  2. Starting at 0¢, make 11 jumps of 5¢ for 11 nickels. On what total do you land?
  3. Starting at 0¢, make 11 jumps of 10¢ for 11 dimes. On what total do you land?
  4. A student counts 5 penny pairs as 2¢, 4¢, 6¢, 10¢, 12¢. Which value was skipped?
  5. Three nickels are already worth 15¢. Two more nickels are added. What should the running total become?
  6. Three dimes are already worth 30¢. Four more dimes are added. What should the running total become?
  7. A collection has 4 dimes, 1 nickel, and 2 pennies. In the strategy used in this lesson, which coin type would you count first, second, and last, and what is the final total?
  8. A student counts 2 dimes as 20¢, then adds 4 nickels but writes 35¢, then adds 3 pennies and writes 38¢. Where is the first error, and what should the final total be?
  9. Collection A has 1 dime, 3 nickels, and 5 pennies. Collection B has 2 dimes, 1 nickel, and 4 pennies. Which collection has the greater value?
  10. A counter starts at 0¢ and lands on 55¢ after equal jumps of 5¢. How many jumps were made, and how many nickels does that represent?
  11. A counter starts at 0¢ and lands on 110¢ after equal jumps of 10¢. How many jumps were made, and how many dimes does that represent?
  12. A counter reaches 18¢ by making equal jumps of 2¢ for penny pairs. How many jumps were made, and how many pennies are in those pairs?
  13. A student counts 6 nickels as 5¢, 10¢, 15¢, 20¢, 30¢, 35¢. Which value was skipped?
  14. A collection has 2 dimes, 2 nickels, and 4 pennies. A student says the total is 32¢. Is the student correct? Give the correct total.
  15. Explain why counting paired pennies by 2s, nickels by 5s, and dimes by 10s works, and explain what to do if one unpaired penny remains.

๐Ÿ” Complete Answer Key

Show practice answer key Hide practice answer key

Practice Answers

1. 8¢.
2. 25¢.
3. 40¢.
4. 10¢.
5. 45¢.
6. 70¢.
7. 6¢.
8. 20¢.
9. 40¢.
10. By 2s.
11. By 5s.
12. By 10s.
13. 30¢.
14. 35¢.
15. 14¢.
16. 16¢.
17. 24¢.
18. 55¢.
19. 50¢.
20. 100¢.
21. 6 nickels.
22. 8 dimes.
23. 7 pairs.
24. True.
25. True.
26. False.
27. Yes.
28. 30¢.
29. Dimes.
30. Possible answer: each penny pair is worth 2¢, so counting pairs by 2s uses fewer counting steps than counting each penny one by one.
Show test answer key Hide test answer key

Test Answers

1. 14¢.
2. 55¢.
3. 110¢.
4. 8¢.
5. 25¢.
6. 70¢.
7. Count dimes first, nickels second, and pennies last; the final total is 47¢.
8. The first error is after the nickels: 20¢ + 20¢ should be 40¢, not 35¢. Adding 3 pennies gives a final total of 43¢.
9. Collection A is greater: A = 30¢ and B = 29¢.
10. 11 jumps; 11 nickels.
11. 11 jumps; 11 dimes.
12. 9 jumps; 18 pennies.
13. 25¢.
14. No. The correct total is 34¢.
15. Each penny pair adds 2¢, each nickel adds 5¢, and each dime adds 10¢, so the skip-counting amount matches the value added each time. If one penny remains unpaired, add 1¢ at the end.

๐Ÿ’ก Common Mistakes to Watch For

Thinking one penny is worth 2¢
One penny is 1¢; only a pair of pennies is 2¢.
Counting nickels by 2s
Each nickel is worth 5¢, so count nickel values by 5s.
Counting dimes by 5s
Each dime is worth 10¢, so count dime values by 10s.
Mixing the running total
In a mixed collection, keep one total and add each new coin value to it.
What comes next: Lesson 32 focuses on Needs, Wants, Saving, Spending & Giving.

๐Ÿ”— Related Lessons

Lesson 30 — U.S. Coins: Pennies, Nickels, Dimes & Quarters Review coin names and values before counting collections. Lesson 29 — Skip Count by 2s, 5s and 10s Review the skip-counting patterns used in this lesson.

๐Ÿ–จ️ Printable Companion

A future Count Coin Values Practice Pack can include penny-pair cards, nickel and dime collections, running-total number lines, mixed-coin counting tasks, error-analysis questions, mixed review, and a complete answer key.

← Lesson 30: U.S. Coins: Pennies, Nickels, Dimes & Quarters Grade 1 Math Hub Next: Needs, Wants, Saving, Spending & Giving →

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