Absolute Value, Factoring Numbers, Fractions, Geometric Formulas, LCM and GCF, Metric Conversions, Negative Numbers, Number Bases (binary, octal, etc.), Number Properties (Distributive, Associative, Commutative, etc.), Number Types (natural, integer, real, etc.), Converting between Decimals, Fractions, and Percents, Rounding (and significant digits), Set Notation, , Beginning Algebra Topics, , Canceling Units, Distance Formula, Engineering Notation, Evaluation, Exponents: Basic rules, Exponents: Negative exponents, Exponents: Fractional exponents, Graphing Overview, Graphing Absolute Value, Graphing Linear Equations, Graphing Radical Equations, Graphing Linear Inequalities (of the form "y < 2x + 3"), Inequalities Overview (three solution methods), Inequalities: Linear (such as "2x < 4"), Intercepts, Midpoint Formula, Order of Operations, Polynomials (definitions & "like terms"), Polynomials: Adding & Subtracting, Polynomials: Multiplying, Polynomials: Dividing, Radicals (square roots, cube roots, rationalizing denominators, etc.), Ratio & Proportion, Scatterplots & Regressions, Scientific Notation, Simple Factoring like "2x + 6 = 2(x + 3)", Simplifying with Exponents, Simplifying with Parentheses, Slope of a straight line, Slope and Graphing, Slope and y-intercept (their meaning in the context of word problems), Solving Absolute Value Equations, Solving Linear Equations, Solving Literal Equations, Solving Radical Equations, Straight-line equations (y = mx + b), Variables, x,y-Plane (plotting points, etc.).....Believe it or not, our just-turned-11 year-old has to know a lot of this stuff by about November of next year for a middle-school entrance exam...which is where I learned it. It's odd that in order to get into middle school, she has to show that she knows middle school math already.
We have a lot of work ahead of us!