Grade 1 · Mathematics
Quarter 2 · Week 8 · TEKS
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This lesson teaches first-grade students how to use counting relationships by twos, fives, and tens to determine the total value of a collection of pennies, nickels, and dimes. Students will learn to recognize the value of each coin and apply skip counting strategies to efficiently find the total amount. The lesson aligns with TEKS.MATH.1.04C and emphasizes hands-on activities, guided practice, and real-world applications to build foundational money skills.
Students should be able to recognize and name pennies, nickels, and dimes and understand that each coin has a specific value in cents. They should also have basic counting skills and be familiar with counting by ones.
A penny is worth 1 cent, a nickel is worth 5 cents, and a dime is worth 10 cents. These values create relationships that help us count efficiently. For example, since a nickel is worth 5 pennies, counting nickels by fives is faster than counting each penny individually. Similarly, dimes are worth 10 pennies, so counting dimes by tens helps find their total value quickly.
When pennies are grouped in pairs, counting by twos helps find the total value faster. For example, if you have 6 pennies arranged in 3 pairs, counting 2, 4, 6 gives the total number of pennies, which equals 6 cents.
Each nickel is worth 5 cents. Counting nickels by fives means saying 5, 10, 15, 20, and so on, for each nickel. For example, 4 nickels counted by fives is 5, 10, 15, 20 cents total.
Each dime is worth 10 cents. Counting dimes by tens means saying 10, 20, 30, etc., for each dime. For example, 3 dimes counted by tens equals 10, 20, 30 cents total.
When a collection has pennies, nickels, and dimes, students can count each type separately using the appropriate skip counting method and then add the totals together. For example, if a collection has 4 pennies, 3 nickels, and 2 dimes, count pennies by ones or twos (4 cents), nickels by fives (15 cents), and dimes by tens (20 cents), then add 4 + 15 + 20 = 39 cents total.
You have 6 pennies. Count their total value by twos.
Since each penny is 1 cent, grouping them in pairs means counting 2 cents at a time. Counting by twos: 2, 4, 6. So, 6 pennies equal 6 cents.
6 pennies equal 6 cents when counted by twos: 2, 4, 6.
You have 4 nickels. Count their total value by fives.
Each nickel is worth 5 cents. Counting by fives for 4 nickels: 5, 10, 15, 20. So, 4 nickels equal 20 cents.
4 nickels equal 20 cents when counted by fives: 5, 10, 15, 20.
You have 3 dimes. Count their total value by tens.
Each dime is worth 10 cents. Counting by tens for 3 dimes: 10, 20, 30. So, 3 dimes equal 30 cents.
3 dimes equal 30 cents when counted by tens: 10, 20, 30.
You have 2 pennies, 3 nickels, and 1 dime. Find the total value using counting relationships.
Count pennies by ones or twos: 2 pennies = 2 cents. Count nickels by fives: 3 nickels = 5, 10, 15 cents. Count dimes by tens: 1 dime = 10 cents. Add totals: 2 + 15 + 10 = 27 cents.
Total value is 27 cents: 2 (pennies) + 15 (nickels) + 10 (dime).
You have 5 pennies, 2 nickels, and 4 dimes. How much money do you have?
Count pennies by ones or twos: 5 pennies = 5 cents. Count nickels by fives: 2 nickels = 5, 10 cents. Count dimes by tens: 4 dimes = 10, 20, 30, 40 cents. Add totals: 5 + 10 + 40 = 55 cents.
Total value is 55 cents: 5 (pennies) + 10 (nickels) + 40 (dimes).
Show students a collection of pennies, nickels, and dimes. Ask them if they know the value of each coin and how they might count the total value quickly.
Observe the coins and share what they know about each coin's value. Discuss any prior experiences with money.
This phase activates prior knowledge about coins and introduces the idea that counting by groups (twos, fives, tens) can help find total values faster.
Provide students with sets of pennies, nickels, and dimes. Guide them to group pennies in twos, nickels in ones but count by fives, and dimes in ones but count by tens. Have them count the total value of each group.
Manipulate coins to form groups and practice counting by twos, fives, and tens. Record the totals for each group.
Hands-on grouping and counting help students see the relationships between coin values and counting patterns.
Demonstrate counting by twos, fives, and tens on the board using coin drawings. Explain why these counting methods work based on coin values.
Watch the demonstration and ask questions. Practice counting along with the teacher.
Explicit explanation connects coin values to skip counting sequences, reinforcing conceptual understanding.
Present word problems involving mixed collections of pennies, nickels, and dimes. Guide students to use counting relationships to find total values.
Solve problems using coins or drawings, count by twos, fives, and tens, and add totals to find answers.
Applying counting relationships to real-world problems strengthens transfer of skills and problem-solving.
Ask students to count the value of a mixed collection of coins independently and explain their counting method.
Count the total value of given coins and describe how they used counting by twos, fives, or tens.
This phase assesses students' mastery of counting relationships and their ability to apply them independently.
Manipulate coins to form groups and practice counting by twos, fives, and tens. Record the totals for each group.
How much is one penny worth?
One penny is worth 1 cent.
If you have 4 pennies, how can you count their total value by twos?
Count by twos: 2, 4. So, 4 pennies equal 4 cents.
You have 3 nickels. Use counting by fives to find their total value.
Count by fives: 5, 10, 15. So, 3 nickels equal 15 cents.
You have 2 dimes and 5 pennies. Use counting by tens and ones to find the total value.
Count dimes by tens: 10, 20 (2 dimes = 20 cents). Count pennies by ones: 5 pennies = 5 cents. Add totals: 20 + 5 = 25 cents.
You have 4 nickels, 3 dimes, and 6 pennies. Find the total value using counting relationships and explain your method.
Count nickels by fives: 5, 10, 15, 20 (4 nickels = 20 cents). Count dimes by tens: 10, 20, 30 (3 dimes = 30 cents). Count pennies by ones or twos: 6 pennies = 6 cents. Add totals: 20 + 30 + 6 = 56 cents. Explanation: I counted each coin type using skip counting based on their values and then added all amounts to find the total.
Provide coin manipulatives for hands-on counting. Use number charts for counting by twos, fives, and tens as visual aids. Work in small groups for guided practice.
Use pictures and real coins to connect vocabulary and concepts. Label coins clearly with their values. Use simple language and repeat key terms like penny, nickel, dime, and cents.
Challenge students to create their own word problems involving coin collections. Introduce addition of three or more coin types with larger quantities. Encourage students to explain their counting strategies in writing.
Encourage students to collect coins at home and practice counting their value using twos, fives, and tens. Parents can quiz students on coin values and counting strategies during everyday activities like shopping.
Students learned to identify pennies, nickels, and dimes and their values. They practiced counting pennies by twos, nickels by fives, and dimes by tens to find total values efficiently. By combining these counting strategies, students can determine the value of mixed coin collections and explain their reasoning clearly, building a foundation for understanding money and transactions.
Use the exact standards alignment and retrieved-source provenance stored with this enrichment.