Level | Topic | Content & Skills |
1 | Basics | Algebra Terms: variable, coefficient, constant, expression, equation |
2 |
| Multiply Variables: with a dot, parentheses, nothing in between |
3 |
| Exponent Rules: multiply, divide, exponent of an exponent, negative exponent |
4 |
| Add Like Terms: add terms with the same variable and exponent |
5 |
| Distributive Property: of multiplication |
6 |
| Commutative Associative: Properties of multiplication & addition |
7 |
| Order of Operations: parentheses, exponents, multiply/divide, add/subtract |
8 |
| Numbers: natural, whole, integer, rational, irrational, real |
9 |
| Coordinate Graphs: plotting points, four quadrants, x and y axes |
10 |
| Relations Tables Graphs: identify linear, quadratic, absolute, radical, expon. |
11 |
| Translate Words To Algebra: common English to algebra conversions |
12 | Linear Functions | Solve Equations: solve one equation one variable multiple steps |
13 |
| Linear Equations: graph a linear equation in standard form |
14 |
| Graph By Intercepts: graph by x- and y- intercepts |
15 |
| Points on a Line: check whether a given point is on a line |
16 |
| Slope of a Line: calculate slope from two points on a graph |
17 |
| Slope Intercept: slope intercept form of a line |
18 |
| Reciprocal Inverse: find the reciprocal of a number, undefined fractions |
19 |
| Parallel Perpendicular: determine whether a line is parallel or perpendicular |
20 |
| Point Slope: find linear equation from a point and slope or parallel line |
21 |
| Graphing Calculator: enter and graph linear equations on a calculator |
22 | Inequalities | Solve Inequalities: solve inequalities with one variable |
23 |
| Compound Inequalities: graph compound inequalities on a number line |
24 |
| Graph Inequalities: graph inequalities on a coordinate graph |
25 | --- | Absolute Value Equations: solve equations with absolute values |
26 | --- | Rate Problems: solve word problems with distance, rate, and time |
27 | Functions | Functions Relations: determine function or not a function |
28 |
| Function Notation: calculate function output values given input values |
29 |
| Domain Range: determine for mappings, ordered pairs, tables, graphs |
30 | Systems | Systems Graphing: solve two equations two variables using graphing calc |
31 |
| Systems Substitution: solve two equations using substitution |
32 |
| Systems Add Eliminate: solve two equations using elimination |
33 | Polynomials | Polynomial Basics: term, monomial, binomial, trinomial, order |
34 |
| Combine Like Terms: add like terms together |
35 |
| Add Polynomials: add polynomials |
36 |
| Subtract Polynomials: subtract polynomials |
37 |
| Multiply Polynomials: multiply polynomials |
38 |
| Divide Polynomials: divide polynomials |
39 |
| Distribute Polynomials: distribute polynomials |
40 |
| FOIL: multiply two binomials first outside inside last |
41 | Factoring | Factoring GCF: factor out the greatest common factor from a polynomial |
42 |
| Trinomial Factor 1: factor trinomials all positive coefficients, a=1 |
43 |
| Trinomial Factor 2: factor trinomials negative coefficients, a=1 |
44 |
| Trinomial Factor 3: factor trinomials, a > 1 |
45 |
| Factor Perfect Square: identify perfect square trinomials and factor |
46 |
| Factor Difference of Squares: identify difference of squares and factor |
47 | Rational | Rational Expressions: simplify rational expressions: factor and cancel |
48 |
| Rational Multiply Add: multiply, divide, add rational expressions |
49 | Quadratics | Quadratic Graphing: solve quadratic equations by graphing |
50 |
| Quadratic Factoring: solve quadratic equations by factoring |
51 |
| Quadratic Square Root: solve quadratic equations by taking square roots |
52 |
| Quadratic Complete Square: solve quadratics by completing the square |
53 |
| Quadratic Formula: solve quadratic equations by the quadratic formula |
54 |
| Quadratic Word Problems: solve word problems: projectile motion, geometry |
55 | Radicals | Radical Expressions: simplify radical expressions, fractional exponents |
56 |
| Radical Equations: solve radical equations |
57 | --- | Exponential Functions: solve growth word problems: interest, populations |
58 | --- | Mixture Ratio Problems: solve mixture problems: fluids, prices |
59 | --- | Logic & Validity: solve common problems: counterexamples, conclusions |
60 | Challenge | Final Challenge: review of all levels |
