Unit 3: Algebra & Equations

Master variables, expressions, equations, patterns, and coordinate graphing!

Unit Overview

What You'll Learn

Use variables to represent unknown quantities in real-world situations
Write and evaluate algebraic expressions
Solve simple one-step equations using inverse operations
Identify and extend number patterns and functions
Plot points and read coordinates on a coordinate plane

Key Skills

VariablesAlgebraic ExpressionsEquation SolvingPattern RecognitionCoordinate GraphingFunction RulesInput-Output TablesReal-world Applications

Learning Objectives

Variables & Expressions

• Understand what variables represent
• Write algebraic expressions
• Evaluate expressions with given values
• Apply to real-world situations

Equation Solving

• Solve one-step equations
• Use inverse operations
• Balance equations correctly
• Check solutions

Patterns & Graphing

• Identify number patterns
• Create input-output tables
• Plot points on coordinate plane
• Read coordinate pairs

Lessons in This Unit

Lesson 1: Variables & Expressions

Learn to use variables and write algebraic expressions using garden planning scenarios.

VariablesAlgebraic ExpressionsReal-world Applications+1 more

Garden Planning

Lesson 2: Solving Simple Equations

Master solving one-step equations using inverse operations with pizza party scenarios.

One-step EquationsInverse OperationsBalancing Equations+1 more

Lesson 3: Patterns & Functions

Understand number patterns and simple functions using input-output tables.

Number PatternsInput-Output TablesFunction Rules+1 more

Number Patterns

Lesson 4: Coordinate Graphing

Master plotting points and reading coordinates using treasure map scenarios.

Coordinate PlanePlotting PointsReading Coordinates+1 more

Prerequisites

Before starting this unit, make sure you're comfortable with:

Basic Operations

• Addition, subtraction, multiplication, division
• Working with whole numbers and decimals
• Understanding order of operations
• Basic problem-solving skills

Number Sense

• Understanding number relationships
• Recognizing patterns in numbers
• Basic geometry concepts
• Reading and interpreting data

Success Tips

Algebra Basics

•Think of variables as "mystery numbers"
•Use real-world examples to understand concepts
•Practice writing expressions for different situations
•Always check your solutions

Problem Solving

•Read problems carefully and identify what you need to find
•Draw pictures or diagrams when helpful
•Work step by step and show your thinking
•Practice with different types of problems

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