Embedded Credit Course Standards and Objectives (Advanced Mathematical Modeling) Alignment to Host Course Standards and Objectives Content Alignment How Standards and/or objectives that do not have strong alignment will be delivered Strong Alignment Moderate Alignment Weak or No Alignment M.AMM.1 Demonstrate reasoning skills in developing, explaining and justifying sound mathematical arguments and analyze the soundness of mathematical arguments of others. All projects and activities IED 2461.72 EDD 2464.17,35,43 x M.AMM.2 Communicate with and about mathematics orally and in writing as part of independent and collaborative work, including making accurate and clear presentations of solutions to problems. All projects and activities IED 2461.72 EDD 2464.9 x M.AMM.3 Gather data, conduct investigations and apply mathematical concepts and models to solve problems in mathematics and other disciplines. All projects and activities IED 2461.36, 72 x M.AMM.4 Determine, represent and analyze mathematical models for loan amortization and the effects of different payments EDD 2464.9 x Students will be provided a financial unit which will supplement the EDD course and allow students an opportunity to study the feasibility of the
project. M.AMM.9 Use the Fundamental Counting Principle, Permutations and Combinations to determine all possible outcomes for an event; determine probability and odds of a simple event; explain the significance of the Law of Large Numbers. POE 2463.105-106 x POE Lesson 4.1 Statistics M.AMM.10 Determine and interpret conditional probabilities and probabilities of compound events by constructing and analyzing representations, including tree diagrams, Venn diagrams, two-way frequency tables and area models, to make decisions in problem situations. POE 2463.108-109 x POE Lesson 4.1 Statistics M.AMM.11 Use probabilities to make and justify decisions about risks in everyday life. 2463.105-109 x POE Lesson 4.1 Statistics M.AMM.12 Calculate expected value to analyze mathematical fairness, payoff and risk. 2463.105, 112 x Students will calculate expected values as an extension to POE Lesson 4.1.2 Candy Statistics. M.AMM.13 Identify limitations or lack of information in studies reporting statistical information, especially when studies are reported in condensed form. IED 2461.24, 25 POE 2463.105 EDD 2464.43 x IED Unit 3 Measurement and Statistics IED Unit 4 Modeling Skills POE Lesson 4.1 Statistics EDD Component 0 Lesson g2.4 M.AMM.14 Interpret and compare the POE 2463.105, 112 x
results of polls, given a margin of error. POE Lesson 4.1 Statistics M.AMM.15 Identify uses and misuses of statistical analyses in studies reporting statistics or using statistics to justify particular conclusions, including assertions of cause and effect versus correlation. POE 2463.105, 112 EDD 2464.35, 43 x POE Lesson 4.1 Statistics EDD Design project M.AMM.16 Describe strengths and weaknesses of sampling techniques, data and graphical displays and interpretations of summary statistics and other results appearing in a study, including reports published in the media. POE 2463.105, 112 EDD 2464.17, 35, 43 x POE Lesson 4.1 Statistics EDD Component 0 Lesson g2.4 M.AMM.17 Identify the population of interest, select an appropriate sampling technique and collect data. IED 2461.24, 25 POE 2463.105 EDD 2464.15, 17, 35, 43 x IED Unit 3 Measurement and Statistics IED Unit 4 Modeling Skills EDD Component 0 Lesson g2.4 M.AMM.18 Identify the variables to be used in a study. IED 2461.24, 25 POE 2463.105 EDD 2464.17, 35 x IED Unit 4 Modeling Skills IED Unit 5 Geometry of Design EDD Design Project M.AMM.19 Determine possible sources of statistical bias in a study and how such bias may affect the ability to generalize the results. IED 2461.24, 25 POE 2463.105 EDD 2464.43 x IED Unit 3 Measurement and Statistics IED Unit 4 Modeling Skills EDD Design Project M.AMM.20 IED 2461.24, 25 x IED Unit 3 Measurement and
Create data displays for given data sets to investigate, compare, and estimate center, shape, spread and unusual features. POE 2463.110, 111, 112 EDD 2464.17, 43 Statistics IED Unit 4 Modeling Skills IED Unit 5 Geometry of Design EDD Component 0 Lesson g2.4 EDD Design Project M.AMM.21 Determine possible sources of variability of data, both those that can be controlled and those that cannot be controlled. IED 2461.24,25 POE 2463.105 EDD 2464.9,17,63 x IED Unit 3 Measurement and Statistics IED Unit 4 Modeling Skills EDD Design Project M.AMM.22 Report results of statistical studies to a particular audience, including selecting an appropriate presentation format, creating graphical data displays and interpreting results in terms of the question studied. IED 2461.24, 25 POE 2463.105 EDD 2464.17, 43 x IED Unit 3 Measurement and Statistics IED Unit 4 Modeling Skills IED Unit 5 Geometry of Design EDD Design Project M.AMM.23 Communicate statistical results in both oral and written formats using appropriate statistical and nontechnical language. IED 2461.101 EDD 2464.9, 17, 22, 35 x IED Unit 3 Measurement and Statistics IED Unit 4 Modeling Skills IED Unit 5 Geometry of Design EDD Design Project M.AMM.24 Solve problems involving large quantities that are not easily measured. x The CTE Math Instructor and the PLTW Instructor will provide an extension for students. M.AMM.25 Use arrays to efficiently manage large collections of data and add, subtract, and multiply matrices to solve applied problems. x The CTE Math Instructor and the PLTW Instructor will provide an extension for students. M.AMM.26 Determine or analyze an appropriate model for problem IED 2461.61 POE 2463.4-11, 15-22, 24, 25, 28, 29, 51, 54, 55, 74, 75 x IED Unit 4 Modeling Skills IED Unit 5 Geometry of Design
situations - including linear, quadratic, power, exponential, logarithmic and logistic functions (e.g., stopping distance, period of a pendulum, population growth, Richter Scale, and/or Fujita Tornado Scale). EDD 2464.15 EDD Component 0 Lesson g2.4 Testing Instrumentation and Logger Pro Software M.AMM.27 Determine or analyze an appropriate cyclical model for problem situations that can be modeled with trigonometric functions (e.g., predator-prey models, tide heights, diurnal cycle, and/or music). POE 2463.113 x Students will be provided an extension Lab to coincide with POE Lesson 3.1 Machine Control. Students will use Vernier Probes to analyze light waves using the supplied Light Sensor. M.AMM.28 Determine or analyze an appropriate piecewise model for problem situations (e.g., postal rates, phase change graphs, sales tax, and/or utility usage rates). POE 2463.15 x POE Unit 1 Energy and Power POE Unit 1 Lesson 1.4 Renewable Electrical Energy Design M.AMM.29 Solve problems using recursion or iteration (e.g., fractals, compound interest, population growth or decline, and/or radioactive decay). EDD 2464.9 x Students will be provided a financial unit which will supplement the EDD course and allow students an opportunity to study the feasibility of the financial aspects of their design project. M.AMM.30 Collect numerical bivariate data; use the data to create a scatter plot; determine whether or not a relationship exists; if so, select a POE 2463.4-11, 15-22, 24, 28, 29, 75 EDD 2464.15, 17 x IED Unit 4 Modeling Skills IED Unit 5 Geometry of Design EDD Component 0 Lesson g2.4 Testing Instrumentation and
function to model the data, justify the selection and use the model to make predictions. Logger Pro Software EDD Design Project M.AMM.31 Solve problems involving scheduling or routing situations that can be represented by a vertex-edge graph; find critical paths, Euler paths, Hamiltonian paths, and minimal spanning trees (e.g., Konigsberg bridge problem, mail vs. Fed Ex delivery routes, kolam drawings of India, traveling salesman problem, and/or map coloring). x The CTE Math Instructor and the PLTW Instructor will provide an extension for students. M.AMM.32 Construct, analyze, and interpret flow charts in order to develop and describe problem solving procedures. IED 2461.65,115 POE 2463.32,37,39 x IED Unit 2 Technical Sketching and Drawing IED Unit 7 Documentation IED Unit 9 Design Team POE Lesson 1 EDD uses flow charts throughout the course to steer students through the design process. (Engineering Design Process Flow Chart, Gantt charts, Product Development Process) PLTW Design Process EDD Design Project M.AMM.33 Apply and analyze various ranking algorithms to determine an appropriate method for a given situation (e.g., fair division, apportionment, and/or search engine results). x The CTE Math Instructor and the PLTW Instructor will provide an extension for students.