Place Value Quest

Overview

Students will engage in a hands-on scavenger hunt around the classroom to find objects that represent different place values in three-digit numbers. Following this, they will partner up to use their found objects to build the largest and smallest numbers possible, reinforcing their understanding of place value concepts aligned to 3rd grade Common Core standards.

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Common Core State Standards (CCSS)

Mathematics - Number and Operations in Base Ten (3.NBT.A)

• 3.NBT.A.1: Use place value understanding to round whole numbers to the nearest 10 or 100.
• 3.NBT.A.2: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or relationship between addition and subtraction.
• 3.NBT.A.3: Multiply one-digit whole numbers by multiples of 10 in the range 10-90 using strategies based on place value and properties of operations.

Note: This lesson will primarily focus on 3.NBT.A.1 and 3.NBT.A.2 by deepening place value understanding.

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Learning Objectives

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

• Identify place value positions (hundreds, tens, and ones) in three-digit numbers.
• Match classroom objects to clues representing specific place values.
• Compose the largest and smallest possible three-digit numbers using identified objects.
• Demonstrate collaborative problem-solving skills by working in pairs to construct numbers.
• Explain their reasoning behind number construction using place value vocabulary.

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Materials Needed

• Sets of place value objects spread around the room (e.g., base-ten blocks, laminated number cards, small toys or manipulatives grouped into “hundreds,” “tens,” and “ones”)
• Clue cards for scavenger hunt (each with a place value hint)
• Whiteboards and dry erase markers for each pair
• Place value charts (hundreds, tens, ones) printed or on display
• Timer or stopwatch
• Assessment recording sheets for pairs (to write their constructed numbers and explanations)

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Lesson Duration: 45 minutes

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Detailed Lesson Flow

1. Introduction & Objective Setup (5 minutes)

• Greet the class and briefly explain the importance of place value in building and understanding numbers.
• Present the learning objective: "Today, you'll be detectives finding clues to numbers in our classroom, then working with a partner to create really big and really small numbers using what you find!"
• Quickly review place value positions (hundreds, tens, ones) with a visual chart. Ask 1-2 quick oral questions to check prior knowledge (e.g., “What place is this digit in the number 352?”).

2. Scavenger Hunt Instructions & Distribution of Clue Cards (5 minutes)

• Explain the scavenger hunt activity. Each student will receive a clue card describing a place value (e.g., “Find an object that represents 4 hundreds”).
• Emphasize walking safely and respecting classmates’ spaces.
• Distribute clue cards randomly so students start with various place values.
• Allow students to quickly find the object matching their clue and gather at a central area.

3. Pair Work - Build Numbers (15 minutes)

• Organize students into pairs. Each pair pools together their place value objects.
• Allow pairs to arrange their objects on whiteboards in hundreds, tens, and ones columns to form the largest number they can.
• After presenting their largest number, challenge them to rearrange the objects to make the smallest number possible.
• Encourage partners to discuss and write their reasoning on their recording sheet using place value language (e.g., “We put 9 in the hundreds place because it’s the biggest value”).
• Teacher circulates, asking probing questions to deepen understanding, such as “Why does putting a bigger number in the hundreds place make the number larger?”

4. Group Sharing & Reflection (10 minutes)

• Invite 3-4 pairs to share their largest and smallest numbers with the class and explain their choices.
• Highlight correct use of place value terms and strategies.
• Facilitate a brief discussion about how changing the position of digits affects the number’s value.

5. Formative Assessment & Exit Ticket (5 minutes)

• Distribute a quick exit ticket with two problems:
  1. Write the largest number you can with the digits 5, 2, and 7.
  2. Write the smallest number you can with the digits 5, 2, and 7.
• Collect exit tickets for assessment of individual student understanding.

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Differentiation Strategies

• For students needing extra support: Provide pre-arranged sets of objects labeled with place value, or pair them with a stronger peer.
• For advanced learners: Challenge them to create numbers with four digits or introduce rounding to the nearest 10 or 100 with their constructed numbers.

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Teacher Notes

• Prepare the object sets and clue cards beforehand to ensure smooth transitions during the scavenger hunt.
• Reinforce positive collaboration during partner work.
• Use formative assessment data to plan follow-up interventions or enrichment activities.

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Reflection & Next Steps

Following the lesson, review exit tickets to identify misconceptions about place value. Plan follow-up lessons focused on addition and subtraction strategies with three-digit numbers, continuing to build on students’ strong place value foundation.