Mathematics 1: Japanese Grade 10 (Mathematical World, V. 8)

The textbook Japanese Grade 10 Mathematics 1 covers material that is compulsory. This course, which is completed by 97% of all Japanese students, is taught for hours per week and comprises Algebra (including quadratic functions, equations, and inequalities), trigonometric functions, and coordinate geometry. 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 A translation of a Japanese textbook in basic mathematics for grade 10, covering material compulsory for Japanese students, including algebra, trigonometric functions, and plane coordinate geometry. Includes exercises and answers. For teachers, researchers, and students interested in examining the Japanese approach to mathematical education. Annotation c. by Book News, Inc., Portland, Or. This is the translation from the Japanese textbook for the grade 10 course, “Basic Mathematics”. The book covers the material which is a compulsory for Japanese high school students. The course comprises algebra (including quadratic functions, equations, and inequalities), trigonometric functions, and plane coordinate geometry. Presents the translation from the Japanese textbook for the grade 10 course, 'Basic Mathematics'. This book covers algebra (including quadratic functions, equations, and inequalities), trigonometric functions, and plane coordinate geometry.