Honors Analysis

 Fundamental Counting Principle  Factorial Calculations (No Calculator!)  Permutation Calculation (No Calculator!)  Arrangement Problems (Permutations): n!  Circular Arrangements: (n – 1)!  Unique arrangements of letters in words  Combinations Formula (by hand)  Combinations & Fundamental Counting Principle  Distinguish between perm/comb

 Calculate Probability/Odds  Create a sample space to determine prob.  Prob of Union of Events (OR Problems)  Remember: If events aren’t mutually exclusive, the intersection must be subtracted!!  Probability of Intersections (AND Problems)  Adjust for independent vs. dependent events (such as replacement)  Calculate probability of the complement  Reword probability scenarios using AND/OR

 Know & triangle patterns  Find basic areas (circles, triangles, rectangles, trapezoids…)  Subtract areas of shapes from other regions to find partial areas

 Misleading graphs  Quantitative vs. Categorical Variables  Graph Types:  Bar graph vs. Histogram  Frequency table vs. Relative Frequency Table  Stem Plot  Pie Chart/Circle Graph  Comparative Bar Chart  Dot Plot

 Make calculations using variables  Print to screen using Disp command  Enter data using Input statement  Make decisions using If/Then/Else statements  Write simple loops  Use counter within loop

 Solve linear equations  Write linear equations based on application problems  Write linear equations involving supplements and complements  Write median equation (passes through triangle vertex and mdpt of opposite side)  Write equation of perpendicular bisector of side (passes through midpoint; perpendicular to slope of side)  Write equation of altitude of triangle (passes through vertex; slope perpendicular to base)

 Solve distance = rate * time word problems (use chart setup!)  Calculate average rate of change of a function from a table or function