top of page

Advanced Mathematical Decision Making

                                                               PLC Pacing Guides Part A and B

 

Pacing Guide Part A

Unit 1: Proportional Reasoning, Rates and Percents

NUMBER AND OPERATIONS

Students will extend their understanding and use of ratios, proportions to solve problems involving in decision making.

MAMDMN1. Students will extend the understanding of proportional reasoning, ratios, rates, and percents by applying them to various settings to include business, media, and consumerism.

a. Use proportional reasoning to solve problems involving ratios.

b. Understand and use averages, weighted averages, and indices.

c. Solve problems involving large quantities that are not easily measured.

d. Understand how identification numbers, such as UPCs, are created and verified.

 

AGEBRA: Students will explore the applications of functions, their characteristics and their use in modeling. Vectors and matrices are employed for solving problems.

MAMDMA1. Students will use vectors and matrices to organize and describe problem situations.

a. Represent situations and solve problems using vectors in areas such as transportation, computer graphics, and the physics of force and motion.

b. Represent geometric transformations and solve problems using matrices in fields such as computer animations

 

Unit 1 should be complete by week 3 of the minimester.

 

Unit 2: Extended Trigonometry

GEOMETRY: Students apply tools to model geometric situations and solve problems. Students extend their

knowledge of right triangle trigonometry.

MAMDMG1. Students will create and use two-and three-dimensional representations of authentic situations.

MAMDMG2. Students will solve geometric problems involving inaccessible distances using basic trigonometric principles, including the Law of Sines and the Law of Cosine

Unit 2 should be complete by week 6 of the minimester.

 

Unit 3: Data analysis and Probability

DATA ANAYLSIS AND PROBABILITY: Students will explore representations of data and models of data as tools in the decision making.

MAMDMD1. Students will determine probability and expected value to inform everyday decision making.

a. Determine conditional probabilities and probabilities of compound events to make decisions in problem situations.

b. Use probabilities to make and justify decisions about risks in everyday life.

c. Calculate expected value to analyze mathematical fairness, payoff, and risk.

MAMDMD2. Students will build the skills and vocabulary necessary to analyze and critique reported statistical information, summaries, and graphical displays.

MAMDMD3. Students will apply statistical methods to design, conduct, and analyze statistical studies.

MAMDMD4. Students will use functions to model problem situations in both discrete and continuous

relationships.

  1. Determine whether a problem situation involving two quantities is best modeled by a discrete (pattern identification, population growth, compound interest) or continuous (medication dosage, climate change, bone decay) relationship.

  2. Use linear, exponential, logistic, piecewise and sine functions to construct a model.

Unit 3 should be complete at the end of week 9. A midterm will be given covering units 1,2,and 3.

 

Pacing Guide Part B                                                                                      Units 1-5

The student will apply laws of mathematics to real life financial situations in an effort to ensure future financial literacy.

MAMDMA2. Students will use a variety of network models to organize data in quantitative situations, make informed decisions, and solve problems.

  1. Solve problems represented by a vertex-edge graph, and find critical paths, Euler paths, and minimal spanning trees.

  2. Construct, analyze, and interpret flow charts to develop an algorithm to describe processes such as quality control procedures.

  3. Investigate the scheduling of projects using PERT.

  4. Consider problems that can be resolved by coloring graphs.

MAMDMA3. Students will create and analyze mathematical models to make decisions related to earning, investing, spending, and borrowing money.

  1. Use exponential functions to model change in a variety of financial situations.

  2. Determine, represent, and analyze mathematical models for income, expenditures, and various types of loans and investments.

Unit 1: Introduction to Financial Literacy

  Unit 2: Financial Literacy, Careers and Income

  Unit 3: Financial Literacy and Money Management

Units 1,2, and 3 should be completed by the end of week 4 of the minimester.

The average of these units, notes and tests will be your progress report grade and your fourth nine week grade.

MAMDMA4. Students will analyze and evaluate the mathematics behind various methods of voting and selection.

  1. Evaluate various voting and selection processes to determine an appropriate method for a given situation.

  2. Apply various ranking algorithms to determine an appropriate method for a given situation

  Unit 4: Saving and Investing

  Unit 5: Debit and Credit Cards

Units 4 and 5 should be complete by week 8 of the minimester.

A final exam will be given at the completion of all five units.

bottom of page