THE GREAT MATH ADVENTURE
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    • Mrs. Blalock's Page
    • Mr. Dover's Page
    • Mrs. Loyce Smith's Page
    • Mrs. Samantha Smith's Page
    • Mr. Spicer's Page
    • Mr. Thomaswick's Page
    • 2022-2023 Coteacher's Page
  • Algebra 1
    • Unit 1: Fundamentals of Algebra >
      • 1-1 Function Notation/Evaluating Functions/Order of Operations
      • 1-2 Parts of an Expression
      • 1-3 Adding and Subtracting Polynomials
      • 1-4 One and Two Step Equations
      • 1-5 Solving Multi-Step Equations
      • 1-6 Solving Inequalities with Number Lines
      • 1-7 Literal Equations
      • 1-8 Graphing on the Coordinate Plane
      • Unit 1 Whole Group Activity Resources
      • Unit 1 Solution Guide
    • Unit 2: Systems of Equations >
      • 2-1 Graphing Systems of Equations
      • 2-2 Graphing Systems of Inequalities
      • 2-3 Solving Systems by Substitution
      • 2-4 Solving Systems by Elimination
      • 2-5 Arithmetic Sequences
      • Unit 2 Whole Group Activity Resources
      • Unit 2 Solution Guide
    • Unit 3: Characteristics of Functions >
      • 3-1 Transformations
      • 3-2 Rate of Change
      • 3-3 Domain And Range
      • 3-4 Intercepts
      • 3-5 Intervals of Positive/Negative and Intervals of Increasing and Decreasing
      • 3-6 Special Characterisitcs
      • 3-7 End Behavior
      • Unit 3 You Try! Answers
    • Unit 4: The Toolbox Unit >
      • 4-1 Exponent Properties/Multiplying Polynomials/GCF
      • 4-2 Multiplying and Simplifying Radicals
      • 4-3 Adding and Subtracting Radicals
      • 4-4 Unit Analysis
      • Unit 4 Whole Group Activity Resources
      • Unit 4 You Try! Solutions
    • Unit 5: Introducing Quadratic Functions >
      • 5-1 Graphing By Intercept Form
      • 5-2 Solving By Factoring
      • 5-3 Factoring
      • 5-4 Solving By Square Root
      • 5-5 Completing the Square
      • Unit 5 Whole Group Activity Resources
      • Unit 5 You Try! Solutions
    • Unit 6: Delving Further Into Quadratics >
      • 6-1 Solving Using the Quadratic Formula
      • 6-2 Graphing From Standard Form
      • 6-3 Graphing From Vertex Form
      • 6-4 Converting Between Forms
      • Unit 6 Whole Group Activity Resources
      • Unit 6 You Try!
    • Unit 7: Modeling and Analyzing Exponential Functions >
      • 7-1 Geometric Sequences
      • 7-2 Graphing Exponential Equations From Tables
      • 7-3 Construct Equations
      • 7-4 Compound Interest and Growth/Decay
      • 7-5 Solving Simple Exponential Equations
      • Unit 7 Whole Group Activity Resources
      • Unit 7 You Try! Answers
    • Unit 8: Statistics >
      • 8-1 Measures of Center and Variability
      • 8-2 Mean Absolute Deviation
      • 8-3 Frequency Tables, Dot Plots, and Histograms
      • 8-4 Box Plots
      • 8-5 Two Way Frequency Table
      • 8-6 Scatter Plots and Lines of Best Fit
      • Unit 8 Whole Group Activity Resources
      • Unit 8 You Try! Solutions
    • Unit 9: Comparing Functions >
      • 9-1 Comparing Linear, Quadratic, And Exponential Models
      • 9-2 Comparison of Specific Functions
      • 9-3 Restricted Domain and Range
      • 9-4 Linear vs. Exponential Scenarios
  • 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. Blalock's Page
    • Mr. Dover's Page
    • Mrs. Loyce Smith's Page
    • Mrs. Samantha Smith's Page
    • Mr. Spicer's Page
    • Mr. Thomaswick's Page
    • 2022-2023 Coteacher's Page
  • Algebra 1
    • Unit 1: Fundamentals of Algebra >
      • 1-1 Function Notation/Evaluating Functions/Order of Operations
      • 1-2 Parts of an Expression
      • 1-3 Adding and Subtracting Polynomials
      • 1-4 One and Two Step Equations
      • 1-5 Solving Multi-Step Equations
      • 1-6 Solving Inequalities with Number Lines
      • 1-7 Literal Equations
      • 1-8 Graphing on the Coordinate Plane
      • Unit 1 Whole Group Activity Resources
      • Unit 1 Solution Guide
    • Unit 2: Systems of Equations >
      • 2-1 Graphing Systems of Equations
      • 2-2 Graphing Systems of Inequalities
      • 2-3 Solving Systems by Substitution
      • 2-4 Solving Systems by Elimination
      • 2-5 Arithmetic Sequences
      • Unit 2 Whole Group Activity Resources
      • Unit 2 Solution Guide
    • Unit 3: Characteristics of Functions >
      • 3-1 Transformations
      • 3-2 Rate of Change
      • 3-3 Domain And Range
      • 3-4 Intercepts
      • 3-5 Intervals of Positive/Negative and Intervals of Increasing and Decreasing
      • 3-6 Special Characterisitcs
      • 3-7 End Behavior
      • Unit 3 You Try! Answers
    • Unit 4: The Toolbox Unit >
      • 4-1 Exponent Properties/Multiplying Polynomials/GCF
      • 4-2 Multiplying and Simplifying Radicals
      • 4-3 Adding and Subtracting Radicals
      • 4-4 Unit Analysis
      • Unit 4 Whole Group Activity Resources
      • Unit 4 You Try! Solutions
    • Unit 5: Introducing Quadratic Functions >
      • 5-1 Graphing By Intercept Form
      • 5-2 Solving By Factoring
      • 5-3 Factoring
      • 5-4 Solving By Square Root
      • 5-5 Completing the Square
      • Unit 5 Whole Group Activity Resources
      • Unit 5 You Try! Solutions
    • Unit 6: Delving Further Into Quadratics >
      • 6-1 Solving Using the Quadratic Formula
      • 6-2 Graphing From Standard Form
      • 6-3 Graphing From Vertex Form
      • 6-4 Converting Between Forms
      • Unit 6 Whole Group Activity Resources
      • Unit 6 You Try!
    • Unit 7: Modeling and Analyzing Exponential Functions >
      • 7-1 Geometric Sequences
      • 7-2 Graphing Exponential Equations From Tables
      • 7-3 Construct Equations
      • 7-4 Compound Interest and Growth/Decay
      • 7-5 Solving Simple Exponential Equations
      • Unit 7 Whole Group Activity Resources
      • Unit 7 You Try! Answers
    • Unit 8: Statistics >
      • 8-1 Measures of Center and Variability
      • 8-2 Mean Absolute Deviation
      • 8-3 Frequency Tables, Dot Plots, and Histograms
      • 8-4 Box Plots
      • 8-5 Two Way Frequency Table
      • 8-6 Scatter Plots and Lines of Best Fit
      • Unit 8 Whole Group Activity Resources
      • Unit 8 You Try! Solutions
    • Unit 9: Comparing Functions >
      • 9-1 Comparing Linear, Quadratic, And Exponential Models
      • 9-2 Comparison of Specific Functions
      • 9-3 Restricted Domain and Range
      • 9-4 Linear vs. Exponential Scenarios
  • Geometry