Units
Fall Semester
Collaborative Problem Solving
The student will learn to:
Use of Technology in the Classroom
Use a systematic list or table
Use a picture figure or graph
Use guessing and checking
Use algebra
Recognize a pattern
Modeling Algebraic Reasoning (MAR)
The student will learn to:
Write a sequence in explicit and recursive form and finding nth terms of a sequence
Write NEXT-NOW statements
Write multiple function models in different forms
Use the correlation coefficient to determine the strength and direction of the linear relationship
Analyze, write, and graph piece-wise and step functions
Recognize linear vs. exponential function from a table and a graph
Identify the characteristics of a logistic growth function
Use appropriate function models to make generalizations and predictions about given scenarios
Identify the characteristics of a periodic function using law of sines and law of cosines to find missing values of a triangle
Reasoning With Data Patterns (RDP)
The student will learn to:
Represent given scenarios as a graph or a matrix
Use Euler circuits, Hamiltonian Graphs, weighted/activity graphs, minimal spanning trees
Justify decisions using precise mathematical language
Use Weighted averages, averages in sports
Solve different types of problems using proportionality, estimation, and aspect ratios
Spring Semester
Probabilistic Reasoning (PRB)
The student will learn to:
Using the counting principle, find the total number of outcomes in a sample space.
Calculate a combination given a situation.
Calculate a permutation given a situation.
Find the probability of an event given its complement.
Calculate a probability using the Addition Rule.
Calculate the probability of a situation displayed in a venn diagram.
Calculate the probability of a situation displayed in a tree diagram.
Construct an area model of probability given a situation.
Determine the expected value given probabilities for a situation.
Interpret data from a table to calculate a conditional probability.
Calculate the probability of a situation given options that are not equally likely.
Calculate the probability of a binomial situation.
Determine whether two events are independent given a two-way table.
Construct a two-way table that will make a situation independent.
Identify a probability calculation as theoretical or experimental.
Voting
The student will learn to:
Determine the point value for a candidate
Determine the instant run-off winner
Determine if a coalition is winning in a weighted voting situation
Determine the critical voter in weighted voting situation
Determine the power of a voter
Identify the violations of Arrow's fairness
Statistical Analysis (SA)
The student will learn to:
Identify the types of sampling techniques
Interpret margin of error
Identifying the spread of a boxplot
Identify how to reduce statistical bias
Identify the characteristics of an observational study
Identify the type of bias
Comparing the spread o box plots
Determine the correlation of a scatterplot
Determine if a scatterplot represents a cause and effect relationship rather than an association
Interpreting the shape of a histogram
Financial Literacy (FL)
The student will learn to:
Calculate the value of an investment
Determine how long to reach a savings goal
Determine the minimum payment for a credit card
Determine the payoff period for a credit card
Determine the amount of interest paid on a credit card
Calculate the future value of an investment.
Determine the annual contribution every year to an annuity
Determine the amount of take home pay for a month
Determine the amount of an investment