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