A: Students will demonstrate number sense and apply number theory concepts.

A.A6: develop an understanding of factorial notation and apply it to calculating permutations and combinations

Binomial Probabilities
Permutations and Combinations

B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

B.B8: determine probabilities using permutations and combinations

Binomial Probabilities
Permutations and Combinations

C: Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

C.C36: demonstrate an understanding of the relationship between angle rotation and the coordinates of a rotating point

Rotations, Reflections, and Translations

D: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

D.D1: develop and apply formulas for distance and midpoint

Circles
Distance Formula

E: Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

E.E4: apply properties of circles

Chords and Arcs
Circles
Inscribed Angles

E.E12: demonstrate an understanding of the concept of converse

Biconditional Statements
Conditional Statements

E.E13: analyze and translate between symbolic, graphic, and written representations of circles and ellipses

Chords and Arcs
Circles
Ellipses

E.E14: translate between different forms of equations of circles and ellipses

Circles
Ellipses

E.E15: solve problems involving the equations and characteristics of circles and ellipses

Circles

E.E16: demonstrate an understanding of the transformational relationship between a circle and an ellipse

Ellipses

F: Students will solve problems involving the collection, display and analysis of data.

F.F1: draw inferences about a population from a sample

Polling: City
Polling: Neighborhood
Populations and Samples

F.F8: apply characteristics of normal distributions

Polling: City
Populations and Samples
Sight vs. Sound Reactions

F.F9: demonstrate an understanding of the difference between sample standard deviation and population standard deviation

Polling: City
Populations and Samples
Real-Time Histogram

F.F10: interpret and apply histograms

Histograms
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

F.F11: determine, interpret and apply confidence intervals

Polling: City

F.F15: design and conduct surveys and/or simulate data collection to explore sampling variability

Correlation
Polling: City
Polling: Neighborhood

F.F18: identity the characteristics of a binomial experiment

Binomial Probabilities

F.F19: demonstrate an understanding of the differences in the quality of sampling methods

Polling: City
Populations and Samples

F.F20: demonstrate an understanding of how a confidence level affects a confidence interval

Polling: City

F.F21: demonstrate an understanding of how a confidence level affects a confidence interval

Polling: City

F.F22: demonstrate an understanding of how a confidence level affects a confidence interval

Polling: City

G: Students will represent and solve problems involving uncertainty.

G.G2-3: demonstrate an understanding that determining probability requires the quantifying of outcomes

Binomial Probabilities
Geometric Probability
Independent and Dependent Events

G.G4: apply area diagrams and tree diagrams to interpret and determine probabilities of independent and dependent events

Binomial Probabilities

G.G5: determine conditional probability

Independent and Dependent Events

G.G7: distinguish between situations that involve combinations and permutations

Permutations and Combinations

G.G8: develop and apply formulae to evaluate permutations and combinations

Binomial Probabilities