【People's Education Press】Junior High School English Grade 7 First Semester

📚 Content Summary

This textbook serves as an introductory mathematics resource for first-year junior high school students, primarily covering four core modules: rational numbers, addition and subtraction of polynomials, linear equations in one variable, and basic geometry. By introducing abstract concepts such as negative numbers, number lines, and algebraic expressions, it helps students transition from arithmetic thinking to algebraic thinking, laying a solid foundation for middle school mathematics.

Open the door to algebra, building the cornerstone of rational thinking.

Author: Lin Qun

Acknowledgments: Approved by the Ministry of Education 2012, National Outstanding Textbook Award Second Prize

🎯 Learning Objectives

1. Master absolute value calculation and properties: Accurately compute the absolute value of any rational number and understand its geometric meaning (distance).
2. Skillfully compare sizes of rational numbers: Master using number lines and absolute values to compare the relative sizes of positive numbers, negative numbers, and zero.
3. Excel in rational number addition: Apply sign rules accurately in addition operations and flexibly use arithmetic laws to improve computational efficiency.
4. Accurately distinguish concepts: Identify monomials (coefficient, degree) and polynomials (terms, degree), and understand the meaning of polynomials.
5. Master operational rules: Skillfully apply the rule of combining like terms and the rule of removing parentheses to correctly perform addition and subtraction of polynomials.
6. Strengthen application modeling: Translate real-world problems (e.g., geometry, motion, data patterns) into algebraic expressions and simplify them for evaluation.
7. Master core skills: Understand and proficiently apply the two properties of equations, solving linear equations in one variable through standardized steps.
8. Develop modeling thinking: Identify equal relationships in real problems and master the problem-solving process: "set up variables, form equations, solve, check, answer."
9. Solve complex scenarios: Tackle practical problems involving profit-loss calculations, score table logic analysis, and optimal phone billing plan selection.
10. Recognize points, lines, planes, solids, and their interconversions; understand the correspondence between three-dimensional figures and their nets.