Counting and Grouping

Grade Level

1st Grade

Duration

45 minutes

Class Size

16 students

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Unit Overview

Unit: Estimating with Objects
Lesson: 2 of 5
Lesson Title: Counting and Grouping Objects
Theme: Using groups of ten to deepen understanding of place value and support estimation skills.

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Standards Alignment

Common Core State Standards:

• CCSS.MATH.CONTENT.1.NBT.B.2
  Understand that the two digits of a two-digit number represent amounts of tens and ones.

  • Understand that 10 can be thought of as a bundle of ten ones — called a "ten."
  • Understand that the numbers 11–19 are composed of a ten and some ones.

• CCSS.MATH.PRACTICE.MP2 Reason abstractly and quantitatively

• CCSS.MATH.PRACTICE.MP7 Look for and make use of structure

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Learning Objectives

By the end of this lesson, students will be able to:

1. Count objects accurately in groups of ten and ones.
2. Create groups of ten using manipulatives to represent place value.
3. Understand how grouping by tens helps in estimating larger quantities.
4. Verbally explain how groups of ten and remaining ones make a total number.

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Materials Needed

• 160 small manipulatives (e.g., counters, cubes, or blocks) — 10 per student plus extras
• Ten-frames laminated mats
• Whiteboards and dry erase markers (1 per student)
• Chart paper and markers
• Place value cards (labeled “10” and “1”)
• Number strips from 1 to 20
• Sticky notes for exit tickets

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Lesson Procedure

1. Introduction & Engagement (7 minutes)

• Objective: Activate prior knowledge about counting and introduce grouping.
• Activity:
  1. Begin by showing 16 objects scattered on a table. Ask: “Can anyone count how many objects there are?” Let 2-3 students try.
  2. Write the number 16 on the board, then ask: “What does this number mean? How many tens? How many ones?”
  3. Explain that we will learn how to make groups of ten to help count faster and understand numbers better.

Teacher tip: Use expressive language and show excitement to engage students.

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2. Guided Practice: Grouping Objects (15 minutes)

• Objective: Create groups of ten and count remaining ones to reinforce place value.

• Steps:

  1. Distribute 10 manipulatives to each student and 5 extra manipulatives to each pair (so pairs have 25 total).
  2. Ask students to create one group of ten using their manipulatives on the ten-frame mat.
  3. Demonstrate grouping 10 objects as “one group of ten” and explain that leftovers are “ones.”
  4. Model how to write the total number on their whiteboards by combining the groups of ten and the extra ones. Example: One group of 10 + 5 ones = 15.
  5. Pair students and give them the task to count their manipulatives, group them into tens, and write the number.
  6. Circulate, assist, and ask probing questions to promote thinking about place value.

Note: Use language that emphasizes place value, e.g., “How many groups of ten do you have? How many ones?”

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3. Independent Activity: Estimating with Groups (12 minutes)

• Objective: Use grouping to estimate total amounts.

• Activity:

  1. Display a larger mixed pile of around 32 objects on a table.
  2. Challenge students in pairs to estimate the total number by first grouping tens and counting ones, then writing their estimate on mini whiteboards.
  3. Invite pairs to share their estimates and explain their thinking in terms of groups of tens and leftover units.
  4. Record some sample estimates on chart paper showing reasoning like “3 groups of 10 + 2 ones = 32.”

Teacher tip: Encourage students by validating close estimates and their strategy.

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4. Wrap-Up and Reflection (7 minutes)

• Engage students in a quick review game:

  • Hold up number cards (e.g., 14, 19) and ask students to show how many groups of ten and ones make that number using their fingers or whiteboards.

• Review key vocabulary: group, ten, ones, estimate, place value

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5. Exit Ticket (4 minutes)

• Students receive a sticky note and write or draw:
  “Draw how you make groups of ten and leftover ones for the number 17.”
• Collect sticky notes for quick formative assessment.

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Differentiation and Support

• For students needing extra support:

  • Provide number strips and pre-made groups of ten manipulatives.
  • Use guided questioning and physical demonstration.

• For advanced learners:

  • Encourage creating groups for numbers beyond 20.
  • Challenge students to explain how grouping helps with addition in simple word problems.

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Assessment

• Observation during guided and independent activities for understanding of grouping.
• Exit ticket for formative assessment of representing groups of ten and ones accurately.
• Informal questioning for verbal explanation of place value concepts.

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Reflection for Teachers

• Did students show understanding of groups of ten vs ones?
• Which students struggled with counting or grouping and why?
• How did the manipulatives aid student comprehension?
• Adjust next lessons to focus more on estimation skill or place value based on student needs.

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Extensions and Home Connection

• Encourage families to practice counting groups of everyday objects at home (e.g., pencils, buttons).
• Send home a note with simple estimation challenges like “Estimate how many blocks are in a box by grouping tens and ones.”

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This lesson plan is designed to build conceptual understanding of place value early, anchoring estimation skills on tangible, hands-on grouping. It blends concrete manipulatives with visual and verbal explanations and addresses different learner needs — helping 1st graders build a solid math foundation.