Section 9.1

• Know basic facts about probability and definitions of key terms.
• Be able to compute basic probabilities.
• Understand the difference between exact and experimental probabilities and the issue of constructing and testing a model for an experimental probability.

• Know the definition of an event and properties of probabilities of events.
• Be able to calculate probabilities of events.
• Be able to record data and estimate probabilities from a simulation.
• Be able to explain clearly in words how to set up a simulation to estimate the probability of a given event.
• Know basic properties of probabilities of events.

• Be able to construct a tree for a multistage experiment with or without replacement.
• Know how to compute probabilities of outcomes or events in a multistage experiment using a probability tree or using the multiplication rule for probabilities.

• Be able to compute numbers of combinations where order does and does not matter.
• Be able to compute probabilities of events when there are many equally likely outcomes using numbers of combinations.

• Know how to compute expected values and decide whether a game is fair or not.

• Know basic types of graphs, diagrams, and plots, and advantages and disadvantages of each.
• Be able to identify ways in which a graph is misleading or clear.
• Be able to construct plots of data.
• Be able to read information from a graph, diagram, or plot.

• Know how to compute the mean, median, and mode of a set of data.
• Understand the effects of outlying data on the mean, median, and mode.
• Know how to compute lower and upper quartiles.
• Be able to construct and interpret box and whisker plots.

• Know how to compute variance and standard deviation.
• Understand the effects of shifting or scaling data on the mean and standard deviation.

• Know the shape and properties of normally distributed data.
• Know and be able to use or find percentages of data in certain ranges assuming data is normally distributed.
• Understand the purpose of z-scores and how to find them.
• Be aware that proper and careful analysis of data depends on a deep study of statistics and probability.

• Know some reasons why it is important to study geometry.
• Know what ideal figures are meant by point, line, plane, space.
• Know what is meant by the adjectives (non)intersecting, (non)collinear, (non)concurrent, coplanar, parallel, and skew, and be able to use them correctly.
• Be able to look for patterns and make conjectures based on examples of simple geometric relationships.

• Know and be able to correctly use definitions of half line, ray, and types of segments.
• Know and be able to correctly use definitions of half planes; angle; vertex, sides, interior, and exterior of angles; adjacent angles; linear pair; vertical angles.

• Know and be able to correctly use definitions of:

types of curves (planar, closed, simple, simple closed)
types of polygons (triangle, quadrilateral, pentagon, etc.)
connected, convex, dimensions.

• Know what it means for two figures to be congruent.
• Know how to perform rigid motions
• Know how to specify rigid motions precisely in words.

• Know and understand basic properties of a measure function.
• Understand the importance of using standardized units in measurement and the need to report units.

• Know standard formulas for linear measurements (including arc length) and why they are true.
• Be able to use standard formulas to calculate linear measurements (including arc length).
• Know how to report linear measurements correctly.

• Know standard formulas for area measurements (including surface area of figures in space) and why they are true.
• Be able to use standard formulas to calculate area measurements of two dimensional figures in the plane and in space.
• Know how to report area measurements correctly.

• Know standard formulas for volumes of prisms, cylinders, cones, sphere and believe those for the first three.
• Be able to use standard formulas to calculate volume measurements.
• Be able to report volume measurements correctly.

• Know basic properties of measures of angles.
• Be able to use basic properties to find measures of angles.
• Know how to use notation for angles and measures of angles correctly.

• Know the names, shapes, and properties of basic polygons and polyhedra.
• Be able to classify polygons.

• Know the basic units in the metric system.
• Be able to compare and convert between and within metric units and standard units.
• Have an intuitive sense for the sizes of metric units.
• Be able to make calculations using metric or customary units using dimensional analysis.
• Know how to calculate using smaller units of angle measure.

• Know the difference between precision and accuracy.
• Be able to calculate precision unit, greatest possible error, and relative error.
• Be able to compare precision and accuracy of measurements and know when measurements are incomparable.

• Be able to describe symmetries precisely in words.
• Be able to list all symmetries of a figure.

• Be able to perform basic constructions with compass and straightedge.
• Be able to combine basic constructions to construct other geometric objects.
• Understand the technical meaning of the term constructible.

• Know the parallel postulate and definitions of transversal, alternate interior angles, alternate exterior angles, and corresponding angles.
• Know that lines are parallel if and only if any pair of such angles are congruent.
• Know how to construct parallel lines and partition a segment.

• Know and understand the six basic angle properties given in this section.
• Be able to use the properties to justify or construct arguments or make calculations.

• Know which side and angle conditions guarantee congruence and which do not.
• Be able to correctly conclude and report congruence using conditions like SAS, ASA, SSS, and CPCTC.

• Be able to scale a drawing given a projection point and scale factor.
• Be able to locate the projection point and find the scale factor given two similar figures.
• Know the effect of dilation on length, area, volume, and angle measure.
• Be able to calculate lengths, areas, and volumes using similarity.

• Know the relationships between corresponding sides and angles of similar triangles.
• Know and understand the similarity criteria SAS, SSS, AA.
• Be able to use the similarity criteria to draw conclusions or make calculations.