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
Correlation last revised: 9/16/2020