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Lesson 3-3
Place Value & Number Sense

Comparing & Ordering Numbers

Master comparing and ordering numbers using place value strategies. Learn to compare plant heights and order numbers from least to greatest using systematic place value comparison methods.

Learning Objectives

  • Use place value strategy to compare numbers systematically
  • Order numbers from least to greatest and greatest to least
  • Use comparison symbols (<, >, =) correctly
  • Apply comparison skills to solve real-world word problems

Interactive Activities

Plant Height Comparison

Real-World Application

Practice comparing numbers with plant height scenarios: 'Sunflower 156cm, Corn 138cm, Pine Tree 162cm. Which is tallest?'

Scenario:

Students compare plant heights to understand number comparison in real-world contexts.

Method:

Place Value Comparison: Compare 156 vs 162, start with hundreds (1=1), then tens (5<6), so 156<162.

Practice:

Compare 8 pairs of plant heights and explain the comparison using place value strategy.

Number Comparison
Real-World Context
Problem Solving

Place Value Comparison Strategy

Strategy Practice

Master the place value comparison method: compare digits from left to right, starting with the highest place value.

Scenario:

Students learn the systematic approach to comparing numbers using place value.

Method:

Systematic Method: Compare hundreds first, if equal compare tens, if equal compare ones. 156○162: 1=1, 5<6, so 156<162.

Practice:

Use place value strategy to compare 12 pairs of numbers and explain each step.

Place Value Strategy
Systematic Comparison
Critical Thinking

Number Ordering Activities

Ordering Practice

Practice ordering numbers from least to greatest and greatest to least using place value understanding.

Scenario:

Students practice arranging numbers in order, understanding the relationship between numbers.

Method:

Ordering Method: Use place value comparison to arrange numbers in ascending or descending order.

Practice:

Order 6 sets of 4-5 numbers from least to greatest, showing comparison steps.

Number Ordering
Sequencing
Place Value

Symbol Practice

Symbol Recognition

Master using comparison symbols (<, >, =) to show relationships between numbers.

Scenario:

Students practice using mathematical symbols to express number relationships.

Method:

Symbol Method: 156 < 162 (less than), 162 > 156 (greater than), 156 = 156 (equal to).

Practice:

Complete 15 comparison problems using correct symbols and explain the reasoning.

Comparison Symbols
Mathematical Notation
Symbol Usage

Number Line Ordering

Visual Learning

Use number lines to visualize and order numbers, understanding the relationship between position and value.

Scenario:

Students use number lines to visualize number relationships and ordering.

Method:

Number Line Method: Place numbers on a number line to see their relative positions and order.

Practice:

Place 8 numbers on a number line and order them from least to greatest.

Number Line
Visual Ordering
Spatial Understanding

Comparison Word Problems

Problem Solving

Apply number comparison skills to solve word problems involving real-world scenarios.

Scenario:

Students solve word problems that require comparing numbers in various contexts.

Method:

Problem-Solving Method: Read problem, identify numbers to compare, use place value strategy, solve and check.

Practice:

Solve 6 word problems involving number comparison and explain the solution process.

Word Problems
Comparison Application
Real-World Context

Key Concepts

Place Value Comparison:

  • • Compare hundreds place first
  • • If equal, compare tens place
  • • If equal, compare ones place
  • • 156 < 162: 1=1, 5<6

Comparison Symbols:

  • • < (less than): 156 < 162
  • • > (greater than): 162 > 156
  • • = (equal to): 156 = 156
  • • Use symbols to show relationships