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  • Algebra II
    • The Question – First HW Assignment
    • Quarter 1 – Linear Functions
      • What is a Function?
      • Homework and Classwork – Week 1
      • Wks 2 and 3 – Turtle vs. Hare TO Slope Intercept Form
      • Connections to Linear Functions
      • Questions about Linear Inequalities
      • Connections to Linear Inequalities (and Their Graphs)
      • Links to Linear Inequalities
      • Solving Linear Systems
      • Linear Programming
      • More Complex Linear Systems (Ends 12/9)
    • Quarter 2 – Quadratics
      • Quadratics, Week 1 (11/28 – 12/2)
      • What is a Quadratic Function?
      • Graphing Absolute Value Equations
      • Quadratic Concepts, Week 4 (12/19 – 12/22)
      • Quadratic Modeling, 1/3 – 1/6
      • Solving Quadratics By Factoring, Last Concept of Quarter 2
      • Complex Numbers, Week of 2/22 – 2/24
    • Getting Ready for the Midterm Exam
    • Quarter 3 – Putting Quadratics to Work
      • Concept A: Quadratics (2/1-2/10)
      • Concept C: Inverse Functions (2/27 – 3/8)
      • Concept D: Rational Expressions (Quiz on 3/27)
      • Concept E: Using Rationals to Do Work
    • Quarter 4: Exponential Thoughts
      • Concept A: Arithmetic vs. Geometric Sequences
      • Concept B: Percent Increase and Decrease
      • Concept C: Compounding Interest
      • Concept D: Solving Exponential Problems
      • Concept E: Exponential & Logarithmic Regression
      • Concept F: Inverting (Undoing) Power Functions
    • Final Exam Preparation
  • Geometry
    • The Question – First HW Assignment
    • Unit 1 – The Basics of Geometry
      • 1.2 Pythag Thm – hw due Fri 9/9
      • Who was Pythagoras?
      • 1.3 Segments and Their Measurement
      • CAPT HW and Bridge to Section 1.4 – due 9/15/11
      • 1.4 Angles & Their Measures
      • 1.5 Bisecting Segments and Angles
      • Review 1.4 and 1.5
      • 1.6 Special Pairs of Angles
      • 1.7 – Perimeter and Area
      • Unit 1 Connections
    • Unit 2 – Laws and Logic of Geometry
      • 2.1 Conditional Statements
      • 2.2 Converses and Biconditionals
      • Study for Quiz 2a (2.1 – 2.2)
      • CAPTivating HW After Quiz 2a
      • Proofs, 101: HW Due 10/24
      • Who Was Euclid?
      • 2.4 Algebraic Reasoning
      • 2.5 Proofs About Segments
      • Review 2.4 and 2.5 for Quiz
      • HW After Quiz 2B, Due 11/10
      • 2.6a – Angle Proofs, Part 1
      • 2.6b – Angle Proofs, Part 2
      • Studying for Chapter 2 Test
      • Real World Connections to Unit 2
      • Links related to Unit 2 Material
    • Unit 3 – Perpendicular and Parallel Lines
      • Starting Chapter 3, HW Due 11/21
      • Due 11/22, 3.1: Lines & Angles
      • Due 11/23, Parallel Lines & Transv.
      • Due 11/29: Study for Quiz 3a
      • Due 11/30, Prep for 3.4
      • Due 12/1 & 5: 3.4 – Proving Parallelity
      • 3.5: Using Parallelity
      • After Quiz 3b, Prep for 3.6, Due 12/6
      • 3.6: Slope and Parallel Lines, Due 12/7
      • Due 12/8, 3.7: Slope and Perp. Lines
      • Real Connections to Unit 3
    • Unit 4 – Congruent Triangles
      • 4.1 Triangles and Angles
      • 11.1 – Polygon Degree Measures
      • 4.2 – Congruence and Triangles
      • Studying for Quiz 4A
      • 4.3 SSS and SAS – Due 1/4
      • 4.4 ASA and AAS – Due 1/5
      • Getting Ready for Quiz 4b
      • 4.5 – Using Triangle Congruence – Due 1/10
      • Getting Ready for Quiz 4c
      • 4.6 Isosceles, Equilateral, and Right Triangles – due 1/13/12
      • 4.7: Triangles and Coordinate Proof, Due 1/18
      • Getting Ready for Chapter 4 Test
    • Midterm Exam Review
    • CAPTivating Practice
    • Unit 5 – Properties of Triangles
      • 5.1 – 5.3: Dividing & Conquering Triangles
      • 5.1-5.3 Connections
      • 5.4 – 5.5 Triangles, Continued
      • CAPT Problems, Due 2/23
      • 5.4 – 5.5 Connections
      • Prep for Chapter 5 Test
    • Unit 6 – Quadrilaterals
      • 6.1: Polygons (due 3/7)
      • 6.2: Parallelograms
      • 6.4: Rhombuses, Rectangles and Squares
      • Prep for Quiz 6a: 6.1, 6.2, 6.4, 6.5
      • 6.7 – Area of Triangles and Quadrilaterals
      • Geometry Chapter 6 Test Prep
    • Unit 8 – Similarity
      • 8.1 – Ratio and Proportion (3/29 – 4/2)
      • 8.2: Proportional Thoughts
      • Quiz 8a – 8.1 – 8.2
      • 8.6: Wrapping up Ch 8
      • Quiz 8b Prep (8.3, 8.4, 8.6)
      • Chapter 8 Test Prep
    • Unit 9 – Right Triangles & Trig
      • 9.1 – Geometric Means in Right Triangles
      • 9.4 – Special Right Triangles (Due 5/4)
      • 9.5 – Trig Ratios
      • Getting Ready for Quiz 9a…
    • Unit 11 – Area of Polygons and Circles
      • 11.1 – 11.3: Polygon Basics
      • Getting Ready for Quiz 11a (11.1 – 11.3)
      • 11.4-11.6 – Second part of Chapter 11
      • Chapter 11 Test Preparation
    • Chapter 12 – Surface Area and Volume
      • 12.1 – 12.3 Concepts
      • 12.4-12.6 Concepts
      • Chapter 12 Final Assessment
    • Getting Ready for the Final Exam!
  • Past Years
    • Fund.Algebra II (Teams 1 & 3, 2010-11)
    • Honors Precalculus (Teams 2 & 7, 2010-11)
      • Chapter 1 (Functions & Their Graphs)
      • Chapter 2 (Polynomial & Rational Functions)
      • Chapter 4 (Trigonometry)
        • Sections 1 and 2
        • Section 3 (Rt.Triangle Trig.)
        • Section 4 (Trig. Fcns. of any Angle)
        • Section 5 (Graphs of Sine and Cosine Fcns)
        • Section 6 (Graphs of Other Trig Fcns)
        • Section 7 (Inverse Trig Functions)
        • Review Chapter 4
        • Section 8 (Applications & Models)
      • Chapter 5 (Analytic Trigonometry)
        • 5.1 – Using Fundam.Identities
        • 5.2 – Verifying Identities
        • 5.3 – Solving Trig Equations
        • 5.4 – Sum & Diff Formulas
        • 5.5 – Multiple Angle & Product to Sum Formulas
        • Chapter 5 Review
      • Chapter 6 (Additional Topics in Trig)
        • 6.1 – Law of Sines
        • 6.2 – Law of Cosines
        • 6.3 – Vectors in the Plane
        • 6.4 – Vectors & Dot Products
        • 6.5 – Trig Form of a Complex Number
        • Chapter 6 Review
      • Midterm Exam Review
      • Chapter 3 (Exponential & Logarithmic Functions)
        • 3.1 – Exponential Functions & Graphs
        • 3.2 – Logarithmic Functions & Graphs
        • 3.3 – Properties of Logarithms
        • 3.4 – Exponential & Logarithmic Equations
        • Chapter 3 Review
      • Chapter 8 – Matrices & Determinants
        • 8.1 – Matrices & Systems of Equations
        • 8.2 – Operations with Matrices
        • 8.3 – The Inverse of a Square Matrix
        • 8.4 – The Determinant of a Square Matrix
        • 8.5 – Applying Matrices & Determinants
        • Chapter 8 Review
      • Chapter 9 – Seq, Series, & Prob.
        • 9.1-3 – Sequences & Series
        • Koch Snowflake Page
        • 9.4 Induction
        • 9.5 Binomial Theorem
        • 9.6 Counting Principles
        • 9.7 Probability
        • Chapter 9 Review
      • Chapter 10 – Analytic Geometry
        • 10.2 – Parabolas
        • 10.3 – Ellipses
        • 10.4 – Hyperbolas
        • 10.7 – Polar Coordinates
        • 10.8 – Graphs of Polar Equations
        • Chapter 10 Review
      • Chapter 11 – 3D Analytic Geometry
        • 11.1 – Three Dimensional Space
        • 11.2 – Vectors in Space
        • 11.3 – The Cross Product of 2 Vectors
        • 11.4 – Lines and Planes in Space
      • Final Exam Review
      • Great Math Reading!
        • Trillion Triangle Problem
    • Standard Algebra II (Team 8, 2010-11)
      • Chapter 2
      • Chapter 3
      • Chapter 5 – Quadratic Functions
      • Midterm Exam Review
      • Chapters 6 and 7 – Rational Power Functions
      • Chapter 8 – Exponentials and Logarithms
      • Chapter 9 – Rational Equations and Functions
      • Final Exam Review
      • Great Math Reading!
        • Trillion Triangle Problem
• Coding Pages
  • Conard Curve Calculator
  • AP Comp Sci
    • FAQ
  • TI Talk

2 Responses to “2.4 Algebraic Reasoning”

1. Carlos A. says:

   October 24, 2011 at 5:22 pm

   For question 15. on pg. 99, Why is the final conclusion (x=12) a subtraction property of equality if you’re not subtracting anything?

   Reply
   • corricelli says:

     October 24, 2011 at 7:01 pm

     Carlos,

     Did you subtract to get there?

     Thanks,
     Mrs. Corricelli

     Reply

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