Download ST2460 Pre-Engineering - Project Lead The Way

Embedded Credit – Content Standards and Objectives Alignment Template
Teachers and Administrators who completed the template: Steve Freshour, Jared Voldness
Recommendation that embedded credit be awarded: Yes □
No □
Provide rationale for decision
Review of CTE Standards mentioned below: Standards in light blue are not included in the standards found in the matrix below but have been
included as further reinforcement of mathematics being completed within the PLTW curriculum.
IED – Introduction to Engineering Design
2461.24 Students will calculate the mean, mode, median, and range of a data set.
2461.25 Students will create a histogram of recorded measurements showing data elements or class intervals, and frequency.
2461.26 Students will demonstrate knowledge of create and assemble a prototype using CAD modeling software.
2461.36 Students will demonstrate knowledge of mathematics and dimensioning associated with CAD design software.
2461.39 Students will calculate the surface area and volume of simple geometric forms.
2461.40 Students will Identify and explain the various geometric relationships that exist between the elements of two-dimensional
shapes and three-dimensional forms.
2461.61 Students will Determine ratios and apply algebraic formulas to animate multiple parts within an assembly model.
2461.65 Students will create a decision making matrix.
2461.72 Students will create a three-fold brochure marketing the designed solution for the chosen problem, such as a consumer
product, a dispensing system, a new form of control system, or extend a product design to meet a new requirement.
2461.101 Students will demonstrate knowledge of design briefs and their role in the engineering design process.
2461.116 Students will create a Gantt chart to manage the various phases of their design challenge.
POE – Principles of Engineering
2463.4 Students will demonstrate knowledge of engineering complexities ranging from simple machines to compound machine design
2463.5 Students will Measure forces and distances related to mechanisms.
2463.6 Students will distinguish between the six simple machines, their attributes, and components.
2463.7 Students will Calculate mechanical advantage and drive ratios of mechanisms.
2463.8 Students will Design, create, and test gear, pulley, and sprocket systems.
2463.9 Students will calculate work and power in mechanical systems.
2463.10 Students will determine efficiency in a mechanical system.
2463.11 Students will Design, create, test, and evaluate a compound machine design.
2463.15 Students will demonstrate knowledge of mathematical operations specific to electrical systems.
2463.16 Students will define the possible types of power conversion.
2463.17 Students will calculate work and power.
2463.18 Students will demonstrate the correct use of a digital multimeter.
2463.19 Students will calculate power in a system that converts energy from electrical to mechanical.
2463.20 Students will determine efficiency of a system that converts an electrical input to a mechanical output.
2463.21 Students will calculate circuit resistance, current, and voltage using Ohm’s law.
2463.22 Students will understand the advantages and disadvantages of parallel and series circuit design in an application.
2463.24 Students will Test and apply the relationship between voltage, current, and resistance relating to a photovoltaic cell and a
hydrogen fuel cell.
2463.25 Students will Experiment with a solar hydrogen system to produce mechanical power.
2463.28 Students will Test and apply the relationship between R-values and recyclable insulation.
2463.29 Students will complete calculations for conduction, R-values, and radiation.
2463.32 Students will create a decision-making matrix for the design problem.
2463.34 Students will create a detailed pictorial sketch or use 3D modeling software to document the best choice, based upon the
design team’s decision matrix.
2463.37 Students will create detailed flow charts utilizing a computer software application.
2463.39 Students will create system control programs that utilize flowchart logic.
2463.51 Students will calculate values in a fluid power system utilizing Pascal’s Law.
2463.54 Students will calculate values in a pneumatic system utilizing the perfect gas laws.
2463.55 Students will calculate flow rate, flow velocity, and mechanical advantage in a hydraulic system.
2463.56 Students will demonstrate knowledge of the analysis of loads on physical systems in static equilibrium (statics).
2463.57 Students will Create free body diagrams of objects, identifying all forces acting on the object.
2463.58 Students will mathematically locate the centroid of structural members.
2463.59 Students will calculate moment of inertia of structural members.
2463.60 Students will differentiate between scalar and vector quantities.
2463.61 Students will identify magnitude, direction, and sense of a vector.
2463.62 Students will calculate the X and Y components given a vector.
2463.63 Students will calculate moment forces given a specified axis.
2463.64 Students will Use equations of equilibrium to calculate unknown forces.
2463.65 Students will Use the method of joints strategy to determine forces in the members of a statically determinate truss.
2463.69 Students will Calculate weight, volume, mass, density, and surface area of selected common household product.
2463.73 Students will obtain measurements of material samples.
2463.74 Students will tensile test a material test sample.
2463.75 Students will identify and calculate test sample material properties using a stress strain curve.
2463.105 Students will demonstrate knowledge of the principles of statistics to calculate the theoretical probability that an event will
occur
2463.106 Students will Calculate the experimental frequency distribution of an event occurring.
2463.107 Students will apply the Bernoulli process to events that only have two distinct possible outcomes.
2463.108 Students will Apply AND, OR, and NOT logic to probability.
2463.109 Students will Apply Bayes’ theorem to calculate the probability of multiple events occurring.
2463.110 Students will create a histogram to illustrate frequency distribution.
2463.111 Students will Calculate the central tendency of a data array, including mean, median, and mode.
2463.112 Students will Calculate data variation, including range, standard deviation, and variance.
2463.113 Students will demonstrate knowledge of the principles of kinematics and statistics to design and present a workable solution
to a design problem associated with bodies in motion.
2463.114 Students will calculate distance, displacement, speed, velocity, and acceleration from data.
2463.115 Students will Design, build, and test a vehicle that stores and releases potential energy for propulsion.
2463.116 Students will calculate acceleration due to gravity given data from a free fall device.
2463.117 Students will calculate the X and Y components of a projectile motion.
2463.118 Students will determine the needed angle to launch a projectile a specific range given the projectile’s initial velocity.
EDD – Engineering Design and Development
2464.9 Students will explain the feasibility of his or her solution based on his or her research.
2464.15 Students will Conduct research and perform a trend analysis on a technical problem.
2464.17 Students will demonstrate knowledge of performing and graphically representing an evaluation of proposed design solutions
using specific criteria, including product specifications.
2464.35 Students will demonstrate knowledge of evaluating and selecting appropriate testing methodologies for testing the product,
conduct product testing, refine the design as needed, and document the process and results.
2464.43 Students will apply the appropriate statistical analysis tools to the test results to ensure validity.
Embedded Credit Course
Standards and Objectives
(Advanced Mathematical
Modeling)
Alignment to Host Course
Standards and Objectives
Content Alignment
Strong
Moderate
Weak or
Alignment Alignment
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.
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.
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 2461.72
EDD 2464.17,35,43
x
All projects and activities
IED 2461.72
EDD 2464.9
x
All projects and activities
IED 2461.36, 72
x
M.AMM.4
Determine, represent and
analyze mathematical models
for loan amortization and the
EDD 2464.9
x
How Standards and/or
objectives that do not have
strong alignment will be
delivered
Students will be provided a
financial unit which will
supplement the EDD course and
allow students an opportunity
effects of different payments
and/or finance terms (e.g.,
Auto, Mortgage, and/or Credit
Card).
M.AMM.5
Determine, represent and
analyze mathematical models
for investments involving
simple and compound interest
with and without additional
deposits. (e.g., Savings
accounts, bonds, and/or
certificates of deposit.)
M.AMM.6
Determine, represent, and
analyze mathematical models
for Inflation and the Consumer
Price Index using concepts of
rate of change and percentage
growth.
M.AMM.7
Research and analyze personal
budgets based on given
parameters (e.g., Fixed and
discretionary expenses,
insurance, gross vs. net pay,
types of income, wage, salary,
commission), career choice,
geographic region, retirement
and/or investment planning,
etc.).
M.AMM.8
Research and analyze taxes
including payroll, sales,
to study the feasibility of the
financial aspects of their design
project.
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.
EDD 2464.9
x
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.
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.
EDD 2464.9
x
Students will be provided a
financial unit which will
supplement the EDD course and
personal property, real estate
and income tax returns.
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.
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.
M.AMM.11
Use probabilities to make and
justify decisions about risks in
everyday life.
M.AMM.12
Calculate expected value to
analyze mathematical fairness,
payoff and risk.
M.AMM.13
Identify limitations or lack of
POE 2463.105-106
x
allow students an opportunity
to study the feasibility of the
financial aspects of their design
project.
POE Lesson 4.1 Statistics
POE 2463.108-109
x
POE Lesson 4.1 Statistics
2463.105-109
x
POE Lesson 4.1 Statistics
2463.105, 112
IED 2461.24, 25
POE 2463.105
x
x
Students will calculate expected
values as an extension to POE
Lesson 4.1.2 Candy Statistics.
IED Unit 3 Measurement and
Statistics
information in studies reporting
statistical information,
especially when studies are
reported in condensed form.
M.AMM.14
Interpret and compare the
results of polls, given a margin
of error.
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.
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.
M.AMM.17
Identify the population of
interest, select an appropriate
sampling technique and collect
data.
EDD 2464.43
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
POE 2463.105, 112
IED Unit 4 Modeling Skills
POE Lesson 4.1 Statistics
EDD Component 0 Lesson g2.4
x
POE Lesson 4.1 Statistics
POE 2463.105, 112
EDD 2464.35, 43
x
POE Lesson 4.1 Statistics
EDD Design project
POE 2463.105, 112
EDD 2464.17, 35, 43
x
POE Lesson 4.1 Statistics
EDD Component 0 Lesson g2.4
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.
M.AMM.20
Create data displays for given
data sets to investigate,
compare, and estimate center,
shape, spread and unusual
features.
M.AMM.21
Determine possible sources of
variability of data, both those
that can be controlled and
those that cannot be
controlled.
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.
M.AMM.23
Communicate statistical results
in both oral and written formats
using appropriate statistical and
nontechnical language.
M.AMM.24
IED 2461.24, 25
POE 2463.105
EDD 2464.43
x
IED 2461.24, 25
POE 2463.110, 111, 112
EDD 2464.17, 43
x
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
IED Unit 3 Measurement and
Statistics
IED Unit 4 Modeling Skills
IED Unit 5 Geometry of Design
EDD Component 0 Lesson g2.4
EDD Design Project
IED Unit 3 Measurement and
Statistics
IED Unit 4 Modeling Skills
EDD Design Project
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
IED 2461.101
EDD 2464.9, 17, 22, 35
x
x
IED Unit 3 Measurement and
Statistics
IED Unit 4 Modeling Skills
IED Unit 5 Geometry of Design
EDD Design Project
The CTE Math Instructor and
Solve problems involving large
quantities that are not easily
measured.
M.AMM.25
Use arrays to efficiently manage
large collections of data and
add, subtract, and multiply
matrices to solve applied
problems.
M.AMM.26
Determine or analyze an
appropriate model for problem
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).
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).
M.AMM.28
Determine or analyze an
appropriate piecewise model
for problem situations (e.g.,
postal rates, phase change
x
IED 2461.61
POE 2463.4-11, 15-22, 24, 25,
28, 29, 51, 54, 55, 74, 75
EDD 2464.15
x
IED Unit 4 Modeling Skills
IED Unit 5 Geometry of Design
EDD Component 0 Lesson g2.4
Testing Instrumentation and
Logger Pro Software
POE 2463.113
POE 2463.15
the PLTW Instructor will
provide an extension for
students.
The CTE Math Instructor and
the PLTW Instructor will
provide an extension for
students.
x
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.
POE Unit 1 Energy and Power
POE Unit 1 Lesson 1.4
Renewable Electrical Energy
Design
graphs, sales tax, and/or utility
usage rates).
M.AMM.29
Solve problems using recursion
or iteration (e.g., fractals,
compound interest, population
growth or decline, and/or
radioactive decay).
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 function to model
the data, justify the selection
and use the model to make
predictions.
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).
M.AMM.32
Construct, analyze, and
interpret flow charts in order to
develop and describe problem
EDD 2464.9
POE 2463.4-11, 15-22, 24, 28,
29, 75
EDD 2464.15, 17
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.
IED Unit 4 Modeling Skills
IED Unit 5 Geometry of Design
x
EDD Component 0 Lesson g2.4
Testing Instrumentation and
Logger Pro Software
EDD Design Project
x
IED 2461.65,115
POE 2463.32,37,39
x
The CTE Math Instructor and
the PLTW Instructor will
provide an extension for
students.
IED Unit 2 Technical Sketching
and Drawing
IED Unit 7 Documentation
IED Unit 9 Design Team
solving procedures.
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).
M.AMM.34
Analyze various voting and
selection processes to
determine an appropriate
method for a given situation
(e.g., preferential vs. nonpreferential methods, and/or
weighted voting).
M.AMM.35
Create and use two- and threedimensional representations of
authentic situations using paper
techniques or dynamic
geometric environments for
computer-aided design and
other applications.
x
x
IED 2461.26,36
POE 2463.34
x
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
The CTE Math Instructor and
the PLTW Instructor will
provide an extension for
students.
The CTE Math Instructor and
the PLTW Instructor will
provide an extension for
students.
IED Unit 2 Technical Sketching
and Drawing
IED Unit 4 Modeling Skills
IED Unit 5 Geometry of Design
IED Unit 7 Documentation
IED Unit 8 Advanced Computer
Modeling
IED Unit 9 Design Team
IED Unit 10 Design Challenges
POE West Point Bridge Builder
M.AMM.36
Solve geometric problems
involving inaccessible distances.
M.AMM.37
Use vectors to represent and
solve applied problems.
M.AMM.38
Use matrices to represent
geometric transformations and
solve applied problems.
x
POE 2463.56-65, 113-118
x
x
EDD Design Project
The CTE Math Instructor and
the PLTW Instructor will
provide an extension for
students.
POE Lesson 2.1 Statics
The CTE Math Instructor and
the PLTW Instructor will
provide an extension for
students.