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.
Author(s): Kunihiko Kodaira, Hiromi Nagata
Edition: 1 ed
Publisher: The University of Chicago School Mathematics Project
Year: 1996
Language: English
Commentary: I have used this book in my preparation for the Monbukagakusho/MEXT/EJU exam in Mathematics.
Pages: 266
Tags: Basic Mathematics, High School Mathematics
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
