Critical Thinking in Mathematics

          Module 1: Foundations of Number Sense

Section 1: Understanding Numbers
- Lesson 1: Recognizing and Naming Numbers
  Module 1, Section 1, Lesson 1 Recognizing and Naming Numbers
- Lesson 2: Place Value Basics
  Module 1, Section 1, Lesson 2 Place Value Basics

Section 2: Number Relationships
- Lesson 1: Comparing Numbers
  Module 1, Section 2, Lesson 1 Comparing Numbers
- Lesson 2: Understanding Greater and Less Than
  Module 1, Section 2, Lesson 2 Understanding Greater and Less Than

Section 3: Even and Odd Numbers
- Lesson 1: Identifying Even Numbers
  Module 1, Section 3, Lesson 1 Identifying Even Numbers
- Lesson 2: Identifying Odd Numbers
  Module 1, Section 3, Lesson 2 Identifying Odd Numbers

Section 4: Multiples and Factors
- Lesson 1: Identifying Factors
  Module 1, Section 4, Lesson 1 Identifying Factors
- Lesson 2: Finding Multiples
  Module 1, Section 4, Lesson 2 Finding Multiples

Section 5: Introduction to Fractions
- Lesson 1: What is a Fraction?
  Module 1, Section 5, Lesson 1 What is a Fraction?
- Lesson 2: Basic Fraction Concepts
  Module 1, Section 5, Lesson 2 Basic Fraction Concepts

Module 2: Fundamental Operations and Patterns

Section 1: Addition Fundamentals
- Lesson 1: Basic Addition Concepts
  Module 2, Section 1, Lesson 1 Basic Addition Concepts
- Lesson 2: Adding Two-Digit Numbers
  Module 2, Section 1, Lesson 2 Adding Two-Digit Numbers

Section 2: Subtraction Fundamentals
- Lesson 1: Basic Subtraction Concepts
  Module 2, Section 2, Lesson 1 Basic Subtraction Concepts
- Lesson 2: Subtracting with Regrouping
  Module 2, Section 2, Lesson 2 Subtracting with Regrouping

Section 3: Multiplication Basics
- Lesson 1: Introduction to Multiplication
  Module 2, Section 3, Lesson 1 Introduction to Multiplication
- Lesson 2: Multiplication as Repeated Addition
  Module 2, Section 3, Lesson 2 Multiplication as Repeated Addition

Section 4: Division Basics
- Lesson 1: Introduction to Division
  Module 2, Section 4, Lesson 1 Introduction to Division
- Lesson 2: Division as Sharing Equally
  Module 2, Section 4, Lesson 2 Division as Sharing Equally

Section 5: Recognizing Patterns
- Lesson 1: Identifying Numerical Patterns
  Module 2, Section 5, Lesson 1 Identifying Numerical Patterns
- Lesson 2: Creating Simple Sequences
  Module 2, Section 5, Lesson 2 Creating Simple Sequences

Module 3: Basic Geometry and Spatial Reasoning

Section 1: Shapes and Figures
- Lesson 1: Recognizing Basic Shapes
  Module 3, Section 1, Lesson 1 Recognizing Basic Shapes
- Lesson 2: Understanding Properties of Shapes
  Module 3, Section 1, Lesson 2 Understanding Properties of Shapes

Section 2: Measurements
- Lesson 1: Understanding Length and Height
  Module 3, Section 2, Lesson 1 Understanding Length and Height
- Lesson 2: Measuring with Non-Standard Units
  Module 3, Section 2, Lesson 2 Measuring with Non-Standard Units

Section 3: Spatial Reasoning
- Lesson 1: Visualizing Object Placement
  Module 3, Section 3, Lesson 1 Visualizing Object Placement
- Lesson 2: Understanding Relative Positions
  Module 3, Section 3, Lesson 2 Understanding Relative Positions

Section 4: Introduction to Symmetry
- Lesson 1: Recognizing Symmetry in Shapes
  Module 3, Section 4, Lesson 1 Recognizing Symmetry in Shapes
- Lesson 2: Creating Symmetrical Patterns
  Module 3, Section 4, Lesson 2 Creating Symmetrical Patterns

Section 5: Basic Coordinate Concepts
- Lesson 1: Plotting Points on a Grid
  Module 3, Section 5, Lesson 1 Plotting Points on a Grid
- Lesson 2: Understanding X and Y Axes
  Module 3, Section 5, Lesson 2 Understanding X and Y Axes

Module 4: Introduction to Algebraic Thinking

Section 1: Recognizing Patterns in Numbers
- Lesson 1: Identifying Number Patterns
  Module 4, Section 1, Lesson 1 Identifying Number Patterns
- Lesson 2: Predicting Next Numbers
  Module 4, Section 1, Lesson 2 Predicting Next Numbers

Section 2: Understanding Variables
- Lesson 1: What is a Variable?
  Module 4, Section 2, Lesson 1 What is a Variable?
- Lesson 2: Simple Variable Substitution
  Module 4, Section 2, Lesson 2 Simple Variable Substitution

Section 3: Introduction to Simple Equations
- Lesson 1: Understanding the Equal Sign
  Module 4, Section 3, Lesson 1 Understanding the Equal Sign
- Lesson 2: Solving One-Step Equations
  Module 4, Section 3, Lesson 2 Solving One-Step Equations

Section 4: Relating Numbers and Algebra
- Lesson 1: From Concrete to Abstract
  Module 4, Section 4, Lesson 1 From Concrete to Abstract
- Lesson 2: Creating Equations from Word Problems
  Module 4, Section 4, Lesson 2 Creating Equations from Word Problems

Section 5: Logical Reasoning in Algebra
- Lesson 1: Reasoning with Patterns
  Module 4, Section 5, Lesson 1 Reasoning with Patterns
- Lesson 2: Analyzing Simple Algebraic Statements
  Module 4, Section 5, Lesson 2 Analyzing Simple Algebraic Statements

Module 5: Mathematical Problem Solving

Section 1: Problem Identification
- Lesson 1: Understanding the Problem
  Module 5, Section 1, Lesson 1 Understanding the Problem
- Lesson 2: Breaking Down Complex Questions
  Module 5, Section 1, Lesson 2 Breaking Down Complex Questions

Section 2: Logical Strategies
- Lesson 1: Step-by-Step Reasoning
  Module 5, Section 2, Lesson 1 Step-by-Step Reasoning
- Lesson 2: Working Through Examples
  Module 5, Section 2, Lesson 2 Working Through Examples

Section 3: Using Diagrams
- Lesson 1: Creating Visual Representations
  Module 5, Section 3, Lesson 1 Creating Visual Representations
- Lesson 2: Interpreting Diagrams to Solve Problems
  Module 5, Section 3, Lesson 2 Interpreting Diagrams to Solve Problems

Section 4: Estimation and Approximation
- Lesson 1: The Art of Estimation
  Module 5, Section 4, Lesson 1 The Art of Estimation
- Lesson 2: Applying Estimation in Problem Solving
  Module 5, Section 4, Lesson 2 Applying Estimation in Problem Solving

Section 5: Review and Interactive Discussion
- Lesson 1: Group Problem Solving
  Module 5, Section 5, Lesson 1 Group Problem Solving
- Lesson 2: Reflecting on Strategies Learned
  Module 5, Section 5, Lesson 2 Reflecting on Strategies Learned