Math isn’t that bad. It’s a pain, but doable. Hopefully this list will give you a clear map for mastering these subjects in a self-guided way. Please make use of some of the excellent resources out there, such as the free online lecture series by the Khan Academy, to learn and practice.
Note that I include here more than is strictly necessary for most elementary school and high schoolers to learn. Do learn basic statistics, but skip everything else after algebra I and geometry I if it doesn’t interest you or if it doesn’t fit with your college and career plans. (You’ll be fine, I promise.)
Pre-Algebra and Algebra 1:
Using factors and multiples
Using algebraic symbols (parentheses, brackets, dots, slashes, etc.)
Solving basic algebraic equations
Calculating ratios, rates, percentages and proportions
Calculating exponents, radicals, and scientific notation
Solving algebraic expressions
Solving linear word problems
Systems of equations
Using absolute value
Using rational exponents
Using exponential growth
Using systems of equations
Working with expressions with exponents
Working with polynomials
Working with factorization
Working with quadratics
Working with rational and irrational numbers
Calculating square footage
Graphing lines and slope
Understanding the differences between angles, polygons, lines, circles, triangles, right triangles and shapes
Calculating linear equations
Working with coordinate plane
Working with the Pythagorean theorem
Doing solid geometry
Doing analytic geometry
Understanding data sets and samples
Knowing common experiment designs and the differences between them
Understanding data distribution
Reading and interpreting data
Graphing and modeling simple data
Understanding and calculating mean, median and average
Understanding and calculating standard deviation
Understanding correlation and regression
Understanding statistical significance
Understanding positive correlation and negative correlation
Understanding bivariate numerical data
Running t-Tests, chi-square tests and ANOVA tests using statistical computation software
Continuing to learn the concepts taught in Algebra 1, including a more in-depth study of graphing and solving equations, inequalities, and functions.
Applying algebra and geometry skills to circular and periodic functions. This includes an understanding of sine, cosine and tangent.
Learning about series and sequences, probability, statistics, limits, and derivatives.
Continuing to learn about the concepts taught in pre-calculus, with an emphasis on integration and differentiation.
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