Free AI-assisted K12 Learning

Early Algebraic Thinking


 Introductory tasks that spark early algebraic thinking with simple patterns and symbols.

 Description : Designed to spark early algebraic thinking, this course introduces simple variables and patterns through puzzles and interactive challenges that connect arithmetic to emerging algebra concepts.

Category : Math
Age : 8+
Difficulty Level : Normal

 Curriculum :
          Module 1: Getting Started with Early Algebra

Section 1: Numbers and Symbols
- Lesson 1: Recognizing Numbers and Symbols
  Module 1, Section 1, Lesson 1 Recognizing Numbers and Symbols
- Lesson 2: Understanding Number Roles
  Module 1, Section 1, Lesson 2 Understanding Number Roles

Section 2: Introduction to Patterns
- Lesson 1: Spotting Repeating Patterns
  Module 1, Section 2, Lesson 1 Spotting Repeating Patterns
- Lesson 2: Extending Simple Patterns
  Module 1, Section 2, Lesson 2 Extending Simple Patterns

Section 3: Using Variables
- Lesson 1: What Is a Variable?
  Module 1, Section 3, Lesson 1 What Is a Variable?
- Lesson 2: Variables as Placeholders
  Module 1, Section 3, Lesson 2 Variables as Placeholders

Section 4: Basic Arithmetic Connections
- Lesson 1: Connecting Addition to Patterns
  Module 1, Section 4, Lesson 1 Connecting Addition to Patterns
- Lesson 2: Recognizing Subtraction Patterns
  Module 1, Section 4, Lesson 2 Recognizing Subtraction Patterns

Section 5: Fun with Algebra Puzzles
- Lesson 1: Simple Algebra Puzzles Part 1
  Module 1, Section 5, Lesson 1 Simple Algebra Puzzles Part 1
- Lesson 2: Simple Algebra Puzzles Part 2
  Module 1, Section 5, Lesson 2 Simple Algebra Puzzles Part 2


Module 2: Exploring Patterns and Relationships

Section 1: Patterns in Nature and Numbers
- Lesson 1: Observing Patterns Around Us
  Module 2, Section 1, Lesson 1 Observing Patterns Around Us
- Lesson 2: Drawing Patterns from Daily Life
  Module 2, Section 1, Lesson 2 Drawing Patterns from Daily Life

Section 2: Introduction to Simple Equations
- Lesson 1: Understanding Missing Numbers
  Module 2, Section 2, Lesson 1 Understanding Missing Numbers
- Lesson 2: Balancing What We Know
  Module 2, Section 2, Lesson 2 Balancing What We Know

Section 3: Building Equivalence
- Lesson 1: Seeing Equality in Equations
  Module 2, Section 3, Lesson 1 Seeing Equality in Equations
- Lesson 2: Using the Equals Sign
  Module 2, Section 3, Lesson 2 Using the Equals Sign

Section 4: Variable Exploration
- Lesson 1: Substituting with Variables
  Module 2, Section 4, Lesson 1 Substituting with Variables
- Lesson 2: Playing with Variable Puzzles
  Module 2, Section 4, Lesson 2 Playing with Variable Puzzles

Section 5: Pattern Challenges
- Lesson 1: Deciphering Patterns in Sequences
  Module 2, Section 5, Lesson 1 Deciphering Patterns in Sequences
- Lesson 2: Creating Your Own Patterns
  Module 2, Section 5, Lesson 2 Creating Your Own Patterns


Module 3: Connecting Arithmetic and Algebra

Section 1: Revisiting Basic Operations
- Lesson 1: Addition and Pattern Connections
  Module 3, Section 1, Lesson 1 Addition and Pattern Connections
- Lesson 2: Subtraction and Variable Relations
  Module 3, Section 1, Lesson 2 Subtraction and Variable Relations

Section 2: Introducing Multiplication in Patterns
- Lesson 1: Understanding Multiplication as Repeated Addition
  Module 3, Section 2, Lesson 1 Understanding Multiplication as Repeated Addition
- Lesson 2: Spotting Multiplicative Patterns
  Module 3, Section 2, Lesson 2 Spotting Multiplicative Patterns

Section 3: Building with Variables and Operations
- Lesson 1: Merging Variables with Addition
  Module 3, Section 3, Lesson 1 Merging Variables with Addition
- Lesson 2: Merging Variables with Subtraction
  Module 3, Section 3, Lesson 2 Merging Variables with Subtraction

Section 4: Visual Patterns and Arithmetic
- Lesson 1: Visualizing Number Patterns
  Module 3, Section 4, Lesson 1 Visualizing Number Patterns
- Lesson 2: Drawing Representations of Equations
  Module 3, Section 4, Lesson 2 Drawing Representations of Equations

Section 5: Hands-On Arithmetic Puzzles
- Lesson 1: Solving Puzzles with Basic Operations
  Module 3, Section 5, Lesson 1 Solving Puzzles with Basic Operations
- Lesson 2: Creating Simple Operation Puzzles
  Module 3, Section 5, Lesson 2 Creating Simple Operation Puzzles


Module 4: Interactive Algebra Adventures

Section 1: Story Problems and Simple Equations
- Lesson 1: Reading Story Problems
  Module 4, Section 1, Lesson 1 Reading Story Problems
- Lesson 2: Formulating Equations from Stories
  Module 4, Section 1, Lesson 2 Formulating Equations from Stories

Section 2: Exploring Unknowns in Problems
- Lesson 1: Identifying Unknowns in Challenges
  Module 4, Section 2, Lesson 1 Identifying Unknowns in Challenges
- Lesson 2: Solving for Missing Pieces
  Module 4, Section 2, Lesson 2 Solving for Missing Pieces

Section 3: Game-Based Algebra Challenges
- Lesson 1: Algebra Board Games for Beginners
  Module 4, Section 3, Lesson 1 Algebra Board Games for Beginners
- Lesson 2: Problem Solving Through Play
  Module 4, Section 3, Lesson 2 Problem Solving Through Play

Section 4: Collaborative Learning in Algebra
- Lesson 1: Group Pattern Activities
  Module 4, Section 4, Lesson 1 Group Pattern Activities
- Lesson 2: Team-Based Equation Solving
  Module 4, Section 4, Lesson 2 Team-Based Equation Solving

Section 5: Review and Reflection
- Lesson 1: Reflecting on Early Algebra Concepts
  Module 4, Section 5, Lesson 1 Reflecting on Early Algebra Concepts
- Lesson 2: Recap Through Interactive Games
  Module 4, Section 5, Lesson 2 Recap Through Interactive Games


Module 5: Applying Early Algebraic Thinking

Section 1: Real-World Patterns
- Lesson 1: Finding Patterns in Everyday Life
  Module 5, Section 1, Lesson 1 Finding Patterns in Everyday Life
- Lesson 2: Expressing Daily Patterns Mathematically
  Module 5, Section 1, Lesson 2 Expressing Daily Patterns Mathematically

Section 2: Introduction to Problem Solving
- Lesson 1: Step-by-Step Problem Solving
  Module 5, Section 2, Lesson 1 Step-by-Step Problem Solving
- Lesson 2: Creating Your Own Problems
  Module 5, Section 2, Lesson 2 Creating Your Own Problems

Section 3: Hands-On Algebra Tasks
- Lesson 1: Building Equations with Blocks
  Module 5, Section 3, Lesson 1 Building Equations with Blocks
- Lesson 2: Playing with Number Tiles
  Module 5, Section 3, Lesson 2 Playing with Number Tiles

Section 4: Interactive Challenges
- Lesson 1: Solving Timed Pattern Challenges
  Module 5, Section 4, Lesson 1 Solving Timed Pattern Challenges
- Lesson 2: Puzzle Relay Races
  Module 5, Section 4, Lesson 2 Puzzle Relay Races

Section 5: Consolidation of Early Algebra Concepts
- Lesson 1: Recapping Key Lessons and Patterns
  Module 5, Section 5, Lesson 1 Recapping Key Lessons and Patterns
- Lesson 2: Celebrating Early Algebra Achievements
  Module 5, Section 5, Lesson 2 Celebrating Early Algebra Achievements