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Unit 3: Algebraic Expressions & Equations

Master the fundamentals of algebra through engaging real-world applications. Learn to simplify expressions, solve equations, work with inequalities, and explore function relationships using scenarios from phone plans, savings goals, geometry problems, and transportation costs.

Simplifying Algebraic Expressions

Master the distributive property and combining like terms through phone plan comparisons.

55-70 minutes Scenario: Phone Plans
Distributive PropertyCombining Like TermsExpression SimplificationPhone Plan MathCost Comparison
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Solving Linear Equations

Learn to solve one-step and multi-step equations through savings goal scenarios.

60-75 minutes Scenario: Savings Goals
One-step EquationsMulti-step EquationsFraction CoefficientsSavings PlanningGoal Setting
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Real-world Equation Applications

Apply equations to solve complex problems involving geometry and age relationships.

65-80 minutes Scenario: Geometry & Age Problems
Multi-step ProblemsGeometry ApplicationsAge ProblemsTravel ProblemsProblem Solving
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Inequalities & Applications

Solve inequalities and represent solutions on number lines through budget scenarios.

60-75 minutes Scenario: Budget & Grade Planning
Inequality SolvingNumber Line RepresentationBudget PlanningGrade RequirementsReal-world Constraints
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Introduction to Functions

Explore function relationships and create function tables through transportation cost scenarios.

60-75 minutes Scenario: Transportation Costs
Function DefinitionFunction TablesInput-Output RelationshipsGraphing BasicsReal-world Functions
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Unit Learning Objectives

Key Concepts

  • Simplify algebraic expressions using distributive property
  • Solve linear equations with various coefficients
  • Apply equations to solve real-world problems
  • Work with inequalities and function relationships

Real-World Applications

  • Phone plan cost comparisons
  • Savings goal planning
  • Geometry and measurement problems
  • Budget and grade planning