THE GREAT MATH ADVENTURE
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    • Mrs. Loyce Smith's Page
    • Mr. Spicer's Page
    • Mrs. Stribling's Page
    • Mr. Thomaswick's Page
    • 2024-2025 Coteacher's Page
  • Algebra Concepts & Connections
    • Unit 1: Characteristics of Functions >
      • 1-1 Function Notation/Evaluating Functions/Order of Operations
      • 1-2 Introduction: The Parent Functions
      • 1-3 Transformations
      • 1-4 Rate of Change
      • 1-5 Domain & Range
      • 1-6 Intercepts
      • 1-7 Intervals of Positive and Negative
      • 1-8 Intervals of Increasing and Decreasing
      • 1-9 Special Characteristics
      • 1-10 End Behavior
    • Unit 2: Fundamentals of Algebra >
      • 2-1: Parts of an Expression
      • 2-2: Adding and Subtracting Polynomials
      • 2-3: Graphing Equations
      • 2-4: Graphing Inequalities
      • 2-5: Graphing Systems of Inequalities
      • 2-6: Slope and Writing Equations of Lines
      • 2-7: Parallel and Perpendicular Lines
      • 2-8: Distance and Midpoint
      • 2-9: Area and Perimeter
    • Unit 3: Describing Data >
      • 3-1 Measures of Center and Spread
      • 3-2: Standard Deviation
      • 3-3 Frequency Tables, Dot Plots, and Histograms
      • 3-4 Box Plots
      • 3-5 Scatter Plots and Lines of Best Fit
    • Unit 4: Graphing Quadratics >
      • 4-1 Multiplying Polynomials
      • 4-2 Factored Form
      • 4-3 Solving Quadratics - Factoring
      • 4-4 Greatest Common Factor(GCF)
      • 4-5 Factoring >
        • 4-5 Factoring - Textbook
        • 4-5 Factoring - Amended Notes
      • 4-6 Simplifying Radicals
      • 4-7 Multiplying Radicals
      • 4-8 Adding and Subtracting Radicals
      • 4-9 Rational vs Irrational and Closure
      • 4-10 Solving Quadratics - Square Roots
      • 4-11: Solving Quadratics - Completing the Square
      • 4-12 The Quadratic Formula
      • 4-14 Graphing Quadratic Equations - Standard Form
      • 4-15 Graphing Quadratic Equations - Vertex Form
      • 4-16 Converting Between Forms
    • Unit 5: Modeling & Analyzing Exponential Functions >
      • 5-1 Construct Equations
      • 5-2 Compound Interest and Growth/Decay
      • 5-3 Graphing Exponential Equations From Tables
    • Unit 6: Potpourri >
      • 6-1 Unit Analysis
      • 6-2 Arithmetic & Geometric Sequences
    • Unit 5: Solving Quadratics by Factoring
    • Unit 6: Radicals
    • Unit 7: Delving Deeper into Quadratics
    • Unit 10: Comparing Linear, Quadratic, and Exponential Functions
  • Geometry

KNights and knaves

The Puzzle

​You are at an unmarked intersection. One way is the road to the City of Lies and the other way is the City of Truth.

Citizens of the City of Lies always lie.
 
Citizens of the City of Truth always speak the truth.
 
A citizen of one of those cities (you don’t know which) is at the intersection. What question could you ask them to find out the way to the City of Truth?

The Solution

You ask "In which of those two directions do you live?"

A Citizen of the City of Lies will point to the City of Truth
A Citizen of the City of Truth will point to the City of Truth

  • Home
  • Teacher Pages
    • Mrs. Loyce Smith's Page
    • Mr. Spicer's Page
    • Mrs. Stribling's Page
    • Mr. Thomaswick's Page
    • 2024-2025 Coteacher's Page
  • Algebra Concepts & Connections
    • Unit 1: Characteristics of Functions >
      • 1-1 Function Notation/Evaluating Functions/Order of Operations
      • 1-2 Introduction: The Parent Functions
      • 1-3 Transformations
      • 1-4 Rate of Change
      • 1-5 Domain & Range
      • 1-6 Intercepts
      • 1-7 Intervals of Positive and Negative
      • 1-8 Intervals of Increasing and Decreasing
      • 1-9 Special Characteristics
      • 1-10 End Behavior
    • Unit 2: Fundamentals of Algebra >
      • 2-1: Parts of an Expression
      • 2-2: Adding and Subtracting Polynomials
      • 2-3: Graphing Equations
      • 2-4: Graphing Inequalities
      • 2-5: Graphing Systems of Inequalities
      • 2-6: Slope and Writing Equations of Lines
      • 2-7: Parallel and Perpendicular Lines
      • 2-8: Distance and Midpoint
      • 2-9: Area and Perimeter
    • Unit 3: Describing Data >
      • 3-1 Measures of Center and Spread
      • 3-2: Standard Deviation
      • 3-3 Frequency Tables, Dot Plots, and Histograms
      • 3-4 Box Plots
      • 3-5 Scatter Plots and Lines of Best Fit
    • Unit 4: Graphing Quadratics >
      • 4-1 Multiplying Polynomials
      • 4-2 Factored Form
      • 4-3 Solving Quadratics - Factoring
      • 4-4 Greatest Common Factor(GCF)
      • 4-5 Factoring >
        • 4-5 Factoring - Textbook
        • 4-5 Factoring - Amended Notes
      • 4-6 Simplifying Radicals
      • 4-7 Multiplying Radicals
      • 4-8 Adding and Subtracting Radicals
      • 4-9 Rational vs Irrational and Closure
      • 4-10 Solving Quadratics - Square Roots
      • 4-11: Solving Quadratics - Completing the Square
      • 4-12 The Quadratic Formula
      • 4-14 Graphing Quadratic Equations - Standard Form
      • 4-15 Graphing Quadratic Equations - Vertex Form
      • 4-16 Converting Between Forms
    • Unit 5: Modeling & Analyzing Exponential Functions >
      • 5-1 Construct Equations
      • 5-2 Compound Interest and Growth/Decay
      • 5-3 Graphing Exponential Equations From Tables
    • Unit 6: Potpourri >
      • 6-1 Unit Analysis
      • 6-2 Arithmetic & Geometric Sequences
    • Unit 5: Solving Quadratics by Factoring
    • Unit 6: Radicals
    • Unit 7: Delving Deeper into Quadratics
    • Unit 10: Comparing Linear, Quadratic, and Exponential Functions
  • Geometry