Math MSC – Memory Aid Check 2016 Chapter 1: Factoring o Factoring Common factor Difference of squares Group Factoring Munchkin number Special munchkin number Perfect squares Complete the square Solving by factoring o Polynomial division Divide by binomial Divide by trinomial Divide using 2 variables Divide with missing columns What about remainders? o Rats Multiplying and dividing Adding and subtracting Equations with rats (cancel and cross multiply) Cancelling rules Restrictions Chapter 2: Function properties and parameters o f(2)=3 means (2, 3) o Interval and set notatation o Domain and range o Intercepts (all of the ways to say them) o Variations (inc, dec, constant, st inc, st dec) o Signs (pos, neg, st pos, st neg) o Extremes (max, min, rel max/min) o Symmetry (vertical x=#, horizontal y=#) o Parameters (a, b, h, k) Chapter 3: Polynomial functions o Constant functions (tables, graphs, rules) o Linear functions (tables, graphs, rules) o Quadratic functions (tables, graphs, rules) o Converting the rule (standard, general, factored) o Finding the zeros (standard, general) o Finding the vertex (general, factored) o Finding the rule (vertex and point, zeros and point, shifting) o Solve for y given x (replace x in rule and calculate) o Solve for x given y (make the equation equal zero) Chapter 4: Greatest integer functions o Solve for y given x (round down) o Solve for x given y (make the GIF equal to integer, draw arrows and solve) o Graph a GIF o Find the rule from a graph (get a, b, h, k) Chapter 5: Analytical Geometry o Distance o Midpoint o Parallel lines o Perpendicual lines o Converting the rule (standard, general, symmetric) o Linear inequalities (graphing, finding the rule, solving algebraically) o Quadratic inequalities (graphing, finding the rule, solving algebraically) Chapter 6: Systems of Equations o Identifying variables (be precise) o Finding the systems (two rules) o Solving linear-linear systems (find the value for x and y) Comparison Substitution Elimination o Solving linear-quadratic systems o Types of questions Word problems Chart problems Picture problems o Types of solutions (linear-linear and linear-quadratic) Chapter 7: Triangles o Conjectures o Proofs o Counter-examples o Angles (all of the names) o Isometries (SSS, SAS, ASA) o Similarities (SSS, SAS, AA) o Solving using similarities (create proportion and cross multiply) o Metric relations o Equivalencies (area and volume formulas are a must) o Know your shapes (types of triangles, types of quadralaterals) Chapter 8: Trigonometry o SohCahToa o Sine law (acute vs obtuse) o Cosine law (to find a side, to find an angle) o Area of triangles (three formulas) Chapter 9: Statistics o Describing correlation from scatterplots o Describing correlation from tables o Estimating correlation coefficient o Linear regression
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