Middle

--expressing a probability between certainty and impossible as the likelihood of an uncertain event occurring
--conducting and recording probability experiments using small and large number trials with replacement
--calculating the theoretical probability of a particular event occurring
--expressing probabilities as odds

--calculating the complement of an event (the probability of the event not occurring)
--the changing probabilities of each of three events occurring in a small number trial experiment without replacement
--representing all possible outcomes from multiple events with a tree diagram

--similar triangles
--finding an unknown height in a similar triangle
--tangent ratios of varying angles
--hypotenuse, adjacent, and opposite sides
--using a calculator to find the tangent ratio of any angle
--using tangent ratios to find an unknown adjacent or opposite side length

--tangent, sine and cosine ratios
--using a trigonometric ratio to calculate the lengths of the other sides of a right triangle when an angle and one side length are known
--using a trigonometric ratio to calculate an angle of a right triangle when two side lengths are known
--using the mnemonic acronym SOHCAHTOA

--ratios and equivalent ratios
--ratios expressed in fractions or preferably in whole numbers
--ratios of quantities
--calculating and comparing ratios of quantities
--importance of the order of ratio numbers
--ratios in scaled drawings
--equivalence of inches, feet and miles to centimeters, meters and kilometers

--the many uses of statistics
--gathering and organizing data for interpretation
--how to prepare and interpret a picture graph or pictogram, a vertical and a -horizontal bar graph, a broken line graph, a circle graph or pie chart, a frequency table, a stem and leaf plot, a frequency histogram, and a frequency polygon

--calculating mean, median, and mode averages and how each describe data
--the range of data
--the distribution of data by quartiles
--calculating mean, median, and mode averages within quartiles
--interquartile ranges
--box and whisker plots

--the five steps to problem solving: read and re-read the problem, identify important information, choose a strategy, solve, check the answer
--the six strategies to choose from: guessing and checking, using a simpler related problem, discovering patterns, drawing pictures and diagrams, making lists and charts, working backwards

--review of Part 1
--the discovering patterns strategy is used to solve a problem discovering patterns in number sequences.
--the making lists and charts strategy is used to solve a problem with disparate and incomplete information
--the drawing pictures and diagrams strategy is used to solve a problem about the number of poles needed to build a fence