> My ideal Algebra 1 book would have the following > topics? > > 1. What is Algebra? (this is the first chapter the > student sees. I would ask Devlin to write this). > 2. Variables and Formulas (Introduce the notion of > variables using arithmetic formulas) > 3. Introduction to Algebraic Notation (how we denote > multiplication and division in algebra, exponents) > 4. Numbers (a closer look at the number line, > integers, signed, zero, fractions, decimal, rational, > and a mention of irrational and real numbers) > 5. Linear Equations and Graphing (also the notion of > mapping) > 6. Polynomials (the conventions of polynomials and > polynomial arithmetic) > 7. Rational Expressions and Proportion > 8. Radicals and Roots > 9. Quadratics (2 variables, conic sections for fun) > > Interspersed are some chapters devoted to application > and solving at a algebra 1 level. > > 5a - Applications of Linear Expressions > 6a - Applications of Polynomial Arithmetic > 7a - Applications of Rational Expressions > 8a - Applications of Radicals and Roots > > The quadratics section will be less rigorous than in > Algebra 2 and is meant as an introduction. > > Bob Hansen
Bob, would simultaneous equations - solved graphically and algebraically - be part of chapter 5 in your curriculum?