Math MSC – Memory Aid Check 2016 ➢ Chapter 1: Factoring o

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