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Lesson 3-1
Place Value & Number Sense

Deepening Place Value up to Hundreds

Master place value concepts up to hundreds using place value disks and visual models. Learn to build and understand numbers with hundreds, tens, and ones through hands-on activities.

Learning Objectives

  • Understand the hundreds place and its relationship to tens and ones
  • Use place value disks to build and represent numbers
  • Identify the position and value of digits in three-digit numbers
  • Write numbers in expanded form using place value understanding

Interactive Activities

Place Value Disk Exploration

Visual Learning

Use place value disks to build and understand numbers up to 999, exploring the relationship between hundreds, tens, and ones.

Scenario:

Students use place value disks to physically build numbers and understand the value of each digit.

Method:

Place Value Disk Method: Use 100-disks, 10-disks, and 1-disks to build numbers like 56 = 5 tens + 6 ones.

Practice:

Build 8 different numbers using place value disks and record the expanded form.

Place Value
Number Building
Visual Representation

Number Building with Manipulatives

Hands-On Learning

Practice building numbers using various manipulatives to reinforce place value understanding and number composition.

Scenario:

Students use different manipulatives to build the same number, seeing multiple representations.

Method:

Building Method: Use base-ten blocks, place value disks, and drawings to represent the same number.

Practice:

Represent 5 different numbers using 3 different manipulative methods each.

Number Composition
Manipulatives
Place Value

Place Value Position Practice

Conceptual Understanding

Master identifying the position and value of digits in three-digit numbers through interactive exercises.

Scenario:

Students practice identifying which digit is in which place and what value it represents.

Method:

Position Method: Given 37, identify that 7 is in the ones place and represents 7 ones, 3 is in the tens place and represents 3 tens.

Practice:

Complete 12 place value position exercises, identifying digit positions and values.

Digit Position
Place Value
Number Analysis

Expanded Form Practice

Number Representation

Learn to write numbers in expanded form, breaking down numbers into their place value components.

Scenario:

Students learn to break numbers into their component parts using place value understanding.

Method:

Expanded Form Method: 56 = 50 + 6, 247 = 200 + 40 + 7, showing the value of each digit.

Practice:

Write 10 numbers in expanded form and verify by adding the components back together.

Expanded Form
Number Decomposition
Place Value

Place Value Word Problems

Problem Solving

Apply place value understanding to solve word problems involving hundreds, tens, and ones.

Scenario:

Students solve problems that require understanding place value in real-world contexts.

Method:

Problem-Solving Method: Read problem, identify place values, use place value understanding to solve.

Practice:

Solve 6 word problems involving place value concepts and explain the reasoning.

Word Problems
Place Value Application
Real-World Context

Place Value Games

Game-Based Learning

Reinforce place value concepts through engaging games and interactive activities.

Scenario:

Students play games that reinforce place value concepts in a fun, engaging way.

Method:

Game Method: Use place value bingo, number building races, and digit identification games.

Practice:

Play 3 different place value games and complete related practice activities.

Place Value
Number Recognition
Interactive Learning

Key Concepts

Place Value System:

  • • Hundreds place: 100s (leftmost digit)
  • • Tens place: 10s (middle digit)
  • • Ones place: 1s (rightmost digit)
  • • Each place is 10 times the place to its right

Visual Models:

  • • Place value disks (100, 10, 1)
  • • Base-ten blocks
  • • Expanded form notation
  • • Number building activities