Mathematics 1 - Japanese Grade 10

Chapter 1 Number and Expressions
  Section 1  Real Numbers
    1  The Number Line and Real Numbers
    2  Calculations Involving Real Numbers
    3  Classification of Real Numbers
    4  Calculating Expressions Containing Radicals
    Exercises
  Section 2  Numbers and Sets
    1  Sets
    2  The Intersection of Union Sets
    3  Subsets
    4  Complementary Sets
    5  Sets with Non-Numerical Elements
    Exercises
  Section 3  Integral Expressions
    1  Integral Expressions
    2  Addition, Subtraction, and Multiplication of Integral Expressions
    3  Expansion Formulas
    4  Factoring
    Exercises
  Section 4  Division of Integral and Fractional Expressions
    1  Division of Integral Expressions
    2  The Greatest Common Divisor and Least Common Divisor of Integral Expressions
    3  Calculations Involving Fractional Expressions
    4  Expansions of Exponents
    Exercises
  Chapter Exercises A and B
Chapter 2  Equations and Inequalities
  Section 1  Quadratic Equations
    1  Quadratic Equations
    2  Complex Numbers
    3  The Quadratic Formula
    4  Relations between Solutions and Coefficients
    Exercises
  Section 2  Simultaneous Equations and Higher Degree Equations
    1  Simultaneous Linear Equations in Three Variables
    2  Simultaneous Linear and Quadratic Equations
    3  Simple Higher Degree Equations
    4  The Factor Theorem
    5  Solving Equations of Higher Degree Using the Factor Theorem
    Exercises
  Section 3  Inequalities
    1  Solutions of Inequalities
    2  Quadratic Inequalities
    Exercises
  Section 4  Expressions and Proofs
    1  Proving Equalities
    2  Proving Inequalities
    3  The Contrapositive and Indirect Proof
    Exercises
  Chapter Exercises A and B
Chapter 3  Plane Figures and Expressions
  Section 1  Coordinates of Points
    1  Coordinates of Points on a Straight Line
    2  Coordinates of Points in a Plane
    Exercises
  Section 2  Straight Liens
    1  Equations of Straight Lines
    2  Parallel and Perpendicular Straight Lines
    3  Equation of Locus
    Exercises
  Section 3  Circles
    1  Equations of Circles
    2  Circles and Straight Lines
    3  Translation
    Exercises
  Section 4  Regions Represented by Inequalities
    1  Regions Represented by Inequalities
    2  Regions Represented by Simultaneous Inequalities
    3  Applications of Regions Represented by Inequalities
    Exercises
  Chapter Exercises A and B
Chapter 4  Functions
  Section 1  Quadratic Functions
    1  Functions and Graphs
    2  Quadratic Functions and Their Graphs
    3  Equations and Inequalities and the Graphs of Functions
    Exercises
  Section 2  Simple Fractional Functions and Irrational Functions
    1  Fractional Functions and Their Graphs
    2  Irrational Functions and Their Graphs
    3  Inverse Functions
    Exercises
  Chapter Exercises A and B
Chapter 5  Trigonometric Ratios
  Section 1  Trigonometric Ratios
    1  Tangent
    2  Sine and Cosine
    3  Relations among Trigonometric Ratios
    4  Extending Trigonometric Ratios
    Exercises
  Section 2  Applications of Trigonometric Ratios
    1  The Sine Theorem
    2  The Cosine Theorem
    3  The Area of a Triangle
    Exercises
  Chapter Exercises A and B
Appendix
  Answers
  Index
  Greek Letters
  Numerical Tables
    Table of Squares, Square Roots, and Reciprocals
    Table of Trigonometric Ratios