Course title

AM 10

Pre-requisite

At least 1 English Credit and Pre-Algebra

Course description

In the automotive repair field; mechanics are consistently expected to make important decisions to diagnose an issue with a vehicle. Most issues that involve repairing a vehicle have to do with calibrations; fluid quantities; and electricity/computer diagnostics. In order to properly solve a vehicular problem; a significant amount of mathematics must be done to ensure proper settings for a repaired vehicle. We would hope for your approval of Mathematics for our Automotive Technologies (AM10) class.
Embedded within the AM10 course is 40 Arizona State Mathematics Standards covering over 60 competencies for covering these standards. In fact; our class standards and competencies have been modeled as an example by the Arizona Department of Education Career and Technical Education Embedded Academic Credit Project. Our instructors created a “crosswalk” that shows how Arizona State Mathematics Standards and our class competencies relate to state CTE standards. That document can be seen here at http://www.azed.gov/career-technical-education/files/2015/03/academic-st.... We believe that our Automotive Technologies (AM 10) course is an incredible way for high school students to get real world applicable mathematics education. Thank you for your consideration.
Application of Mathematics Standards
HS.N‚ÄêQ.A.1. Use units as a way to understand problems and to guide the solution of multi‚Äêstep problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. Connections: SCHS‚Äê S1C4‚Äê02; SSHS‚ÄêS5C5‚Äê01
1. convert from English to metric units of measure
2. convert between ohms and mega ohms
3. convert between amps and milli amps
4. convert between different battery capacity ratings
5. convert mega kilos to kilos using dimensional analysis
6. convert between Celsius and Fahrenheit
7. convert from inches to degrees in toe; camber; and castor
8. use conversions and percentage formulas to compute tire diameter from tire sizes being given in a combination of metric and standard measurements and profile percentage
9. convert inch pounds to foot pounds and metric to standard for torque
10. use conversions for temperatures; speed; pressures and other data from vehicle’s computers and between standard and metric
HS.N‚ÄêQ.A.2. Define appropriate quantities for the purpose of descriptive modeling. Connection: SSHS‚Äê S5C5‚Äê01
1. use different quantities when servicing vehicles and to use appropriate quantities for different systems on vehicles
HS.N‚ÄêQ.A.3. Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
1. determine if reading is within the measure of margin of error from specifications
2. choose a level of accuracy to make adjustments according to tolerances when performing wheel alignments because specifications are given in fractions of inches and degrees of tolerances
3. choose level of accuracy to make adjustments according to tolerances
4. determine if a reading is within the measure of margin of error from specifications
HS.N‚ÄêVM.C.6. Use matrices to represent and manipulate data; e.g.; to represent payoffs or incidence relationships in a network. Connections: 9‚Äê10.RST.7; 9‚Äê10.WHST.2f; 11‚Äê12.RST.9; 11‚Äê12.WHST.2e; ETHS S6C2‚Äê03
1. utilize service information and represent in a matrix format
HS.N‚ÄêVM.C.7. Multiply matrices by scalars to produce new matrices; e.g.; as when all of the payoffs in a game are doubled. Connections: 9‚Äê10.RST.3; ETHS‚ÄêS6C2‚Äê03
1. evaluate vehicle and service information
HS.N‚ÄêVM.C.8. Add; subtract; and multiply matrices of appropriate dimensions. Connections: 9‚Äê10.RST.3; ETHS‚ÄêS6C2‚Äê03
1. compute the number of services performed at multiple locations"
HS.A‚ÄêSSE.A.1. Interpret expressions that represent a quantity in terms of its context.
1. use principles of electricity for Ohm’s Law with proper math terminology such as term and expression
HS.A‚ÄêCED.A.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions; and simple rational and exponential functions.
1. solve for one of the variables using Pascal’s Law (F = P • A)
2. use equations to determine tire size versus circumference
3. use Ohm’s Law to solve for missing values
HS.A‚ÄêCED.A.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
1. use a table of values from Ohm’s Law to create the formula
HS.A‚ÄêCED.A.3. Represent constraints by equations or inequalities; and by systems of equations and/or inequalities; and interpret solutions as viable or non‚Äê viable options in a modeling context. For example; represent inequalities describing nutritional and cost constraints on combinations of different foods.
1. fill cooling systems with recommended anti‚Äêfreeze and water
HS.A‐CED.A.4. Rearrange formulas to highlight a quantity of interest; using the same reasoning as in solving equations. For example; rearrange Ohm’s law V = IR to highlight resistance R.
1. use Pascal’s Law to solve for any variable in F = P • A
2. use Ohm’s Law to solve for any variable in E = I • R
HS.A‐REI.B.4. Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form.
1. solve for radius using Pascal’s Law if the area is a circle
HS.A‚ÄêREI.C.6. Solve systems of linear equations exactly and approximately (e.g.; with graphs); focusing on pairs of linear equations in two variables. Connection: ETHS‚ÄêS6C2‚Äê03
1. compute number of recalled automobiles
HS.A‚ÄêREI.D.10. Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane; often forming a curve (which could be a line)
1. describe current with a variable voltage applied to a resistance
HS.A‚ÄêREI.D.11. Explain why the x‚Äê coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately; e.g.; using technology to graph the functions; make tables of values; or find successive approximations. Include cases where f(x) and/or g(x) are linear; polynomial; rational; absolute value; exponential; and logarithmic functions. Connection: ETHS‚Äê S6C2‚Äê03
1. use antifreeze/coolant mixture table found on back of antifreeze bottles to find freezing/boiling point
HS.F‚ÄêIF.B.4. For a function that models a relationship between two quantities; interpret key features of graphs and tables in terms of the quantities; and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing; decreasing; positive; or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Connections: ETHS‚ÄêS6C2.03; 9‚Äê10.RST.7; 11‚Äê12.RST.7
1. represent the maximum and minimum number of amps for a car
HS.F‚ÄêIF.B.5. Relate the domain of a function to its graph and; where applicable; to the quantitative relationship it describes. For example; if the function h(n) gives the number of person‚Äêhours it takes to assemble n engines in a factory; then the positive integers would be an appropriate domain for the function. Connection: 9‚Äê10.WHST.2f
1. test the pedal height of brake pedals for specifications to determine necessary action
HS.F‚ÄêIF.B.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Connections: ETHS‚ÄêS1C2‚Äê01; 9‚Äê10.RST.3
1. compare tire size (circumference versus diameter) and final drive ratios rev per min to mph
2. identify rate of change of Ohm’s Law
3. determine antifreeze versus temperature of water
HS.F‚ÄêIF.C.7. Graph functions expressed symbolically and show key features of the graph; by hand in simple cases and using technology for more complicated cases.
1. use step functions to represent duty cycles or pulse width modulation using an oscilloscope
HS.F‚ÄêIF.C.9. Compare properties of two functions each represented in a different way (algebraically; graphically; numerically in tables; or by verbal descriptions). For example; given a graph of one quadratic function and an algebraic expression for another; say which has the larger maximum. Connections: ETHS‚Äê S6C1‚Äê03; ETHS‚ÄêS6C2‚Äê03; 9‚Äê10.RST.7
1. compare two data sets using Ohms’ Law
HS.F‚ÄêLE.A.2. Construct linear and exponential functions; including arithmetic and geometric sequences; given a graph; a description of a relationship; or two input‚Äêoutput pairs (include reading these from a table). Connections: ETHS‚Äê S6C1‚Äê03; ETHS‚ÄêS6C2‚Äê03; 11‚Äê12.RST.4; SSHS‚ÄêS5C5‚Äê03
1. identify a speedometer accuracy level in relation to tire size
HS.F‚ÄêLE.B.5. Interpret the parameters in a linear or exponential function in terms of a context. Connections: ETHS‚Äê S6C1‚Äê03; ETHS‚ÄêS6C2‚Äê03; SSHS‚Äê S5C5‚Äê03; 11‚Äê12.WHST.2e
1. calculate the change of a raise in hourly rate
HS.F‚ÄêTF.B.5. Choose trigonometric functions to model periodic phenomena with specified amplitude; frequency; and midline. Connection: ETHS‚ÄêS1C2‚Äê01
1. model harmonics to diagnose vibration concerns and what is causing the vibration
HS.G‚ÄêCO.A.1. Know precise definitions of angle; circle; perpendicular line; parallel line; and line segment; based on the undefined notions of point; line; distance along a line; and distance around a circular arc. Connection: 9‚Äê10.RST.4
1. describe caster; toe; and camber when performing a wheel alignment
HS.G‚ÄêCO.A.4. Develop definitions of rotations; reflections; and translations in terms of angles; circles; perpendicular lines; parallel lines; and line segments. Connections: ETHS‚ÄêS6C1‚Äê03; 9‚Äê10.WHST.4
1. check cradle (sub‚Äêframe) and determine necessary action using translation of camber
HS.G‐CO.C.10. Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. Connections: ETHS‐S1C2‐01; 9‐10.WHST.1a‐1e
1. explain principles of steering geometry utilizing theorems about triangles for caster; camber; and toe
HS.G‚ÄêCO.C.11. Prove theorems about parallelograms. Theorems include: opposite sides are congruent; opposite angles are congruent; the diagonals of a parallelogram bisect each other; and conversely; rectangles are parallelograms with congruent diagonals. Connection: 9‚Äê10.WHST.1a‚Äê1e
1. use instrumentation to verify the accuracy of the wheel alignment machine
HS.G‚ÄêCO.D.12. Make formal geometric constructions with a variety of tools and methods (compass and straightedge; string; reflective devices; paper folding; dynamic geometric software; etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines; including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. Connection: ETHS‚ÄêS6C1‚Äê03
1. construct the center of a rectangle to apply a fastening device
HS.G‚ÄêSRT.A.2. Given two figures; use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. Connections: ETHS‚ÄêS1C2‚Äê01; 9‚Äê10.RST.4; 9‚Äê10.WHST.1c
1. use measurements for toe utilizing similar triangles
HS.G‚ÄêSRT.A.3. Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. Connections: ETHS‚ÄêS1C2‚Äê01; 9‚Äê10.RST.7
1. use measurements for toe utilizing similar triangles
2. use trig ratios to check and adjust caster
3. use trig ratios to compute change in caster angle to maintain same caster trail
HS.G‚ÄêSRT.C.8. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Connections: ETHS‚ÄêS6C2‚Äê03; 9‚Äê10.RST.7
1. use trig ratios to check and adjust caster
2. use trig ratios to compute change in caster angle to maintain same caster trail
HS.G‚ÄêC.A.1. Prove that all circles are similar. Connections: ETHS‚ÄêS1C2‚Äê01; 9‚Äê10.WHST.1a‚Äê1e
1. use similar circles to check toe out on turns and determine necessary action
HS.G‚ÄêC.A.2. Identify and describe relationships among inscribed angles; radii; and chords. Include the relationship between central; inscribed; and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Connections: 9‚Äê10.WHST.1c; 11‚Äê12.WHST.1c
1. use relationships in circles to determine caster trails and recalculation due to tire change
2. use relationships in circles to determine caster trails
HS.G‚ÄêGMD.A.3. Use volume formulas for cylinders; pyramids; cones; and spheres to solve problems. Connection: 9‚Äê10.RST.4
1. use bore (diameter) and stroke (height) to calculate volumes of cylinders for computing displacements; compressions ratios; etc
2. use volumes to calculate manifold pressures and compression pressure
3. use volume and pressure to calculate volumetric efficiency
HS.G‚ÄêMG.A.1. Use geometric shapes; their measures; and their properties to describe objects (e.g.; modeling a tree trunk or a human torso as a cylinder). Connections: ETHS‚ÄêS1C2‚Äê01; 9‚Äê10.WHST.2c
1. make connections between the shape of an auto part and a geometric shape
HS.G‚ÄêMG.A.2. Apply concepts of density based on area and volume in modeling situations (e.g.; persons per square mile; BTUs per cubic foot). Connection: ETHS‚ÄêS1C2‚Äê01
1. use density of atmosphere at different altitudes and temperatures to calculate proper air fuel measurements
HS.S‚ÄêID.A.3. Interpret differences in shape; center; and spread in the context of the data sets; accounting for possible effects of extreme data points (outliers). Connections: SSHS‚Äê S1C1‚Äê01; ETHS‚ÄêS6C2‚Äê03; 9‚Äê10.WHST.1a
1. Checking how far out of specifications an item is
HS.S‚ÄêID.C.7. Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. Connections: SCHS‚Äê S5C2‚Äê01; ETHS‚ÄêS1C2‚Äê01; ETHS‚ÄêS6C2‚Äê03; 9‚Äê10.RST.4; 9‚Äê10.RST.7; 9‚Äê10.WHST.2f
1. analyze rate of change using Pascal’s Law (F = P • A)
2. determine tire size (circumference vs. diameter) and calculate final drive ratios rev per min to mph
3. identify rate of change of Ohm’s Law
4. determine resistance versus temperature of water
HS.S‚ÄêID.C.9. Distinguish between correlation and causation. Connection: 9‚Äê10.RST.9
1. show causation using Ohm’s Law
HS.S‚ÄêMD.B.5. Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. Connections: SSHS-S5C2‚Äê03; SSHS‚ÄêS5C5‚Äê03; SSHS‚ÄêS5C5‚Äê05; ETHS‚ÄêS1C2‚Äê01; ETHS‚ÄêS6C2‚Äê03
1. understand the probability associated with failure

Automotive Technologies (AM10)
Course Syllabus: 2015 - 2016
COURSE DESCRIPTION:
Students in this course will learn diagnostic skills such procedures related to on-board diagnostic generation II (OBDII) systems. Students will also learn diagnostic procedures for fuel; ignition; emission control; evaporative systems and the use of OBD scanners and Digital Storage Oscilloscopes to maximize the performance.
COURSE OBJECTIVES:
Upon completion of this course; the students will able to:
• Initiate and Complete a repair order for required repairs
• Diagnoses and repair computerized engine controls
• Diagnose and repair ignition systems
• Diagnose and repair fuel; air induction and exhaust systems
• Diagnose and repair emission control systems

Text: Modern Automotive Technology 8th edition by James E Duffy
ISBN 978-1-61960-370-7
WEB RESOURCES: ALL DATA AND MITCHELL ON DEMAND
TEACHING STRATEGIES
A variety of teaching strategies may be utilized in this course including but not limited to lecture; discussion; classroom exercises; lab exercises; demonstrations; simulations; projects; writing assignments and examinations. Quizzes may be planned or unplanned “pop” quizzes. This ensures that the student comes to class prepared.
INSTRUCTOR AVAILABILITY
This course will require a great deal of individual effort. If; for any reason; you are experiencing problems in this course; please speak with the instructor immediately. Do not let any problem continue to grow until it is too late or unmanageable. The instructor will be available on a daily basis by appointment. Individual attention can and will be given during class time.
STUDENT RESPONSIBILITIES
Students are expected to abide by the policies established in the automotive student handbook. In addition; no food; drink (except water); cell phones; or personal electronic devices are allowed in any classroom and shop facility at any time. Computer usage and lab equipment policies are available in both the student and automotive handbook. Dress code is to be followed as outlined in automotive student handbook.
If you miss a class; it is up to you to obtain a copy of any notes from your fellow classmates and/ or request any handouts or missed work from the instructor. It is also courteous and professional to call the school and inform the instructor of your absence; just as you would an employer.
Attendance to all classes is mandatory. It is also a reflection of a student’s commitment to his or her own educational success. Any student who is absent for two or more days in a row will receive a call from the instructor in an effort to address the problem.
GRADING SCALE
The final grade average is based on completion of all listed requirements and is also based on the following scale:
90-100 % A
80-89 % B
70-79 % C
60-69 % D
59 % and below F
GRADING POLICIES
Student performance will be evaluated in the following manner:
Written assessment; 33%
• Quizzes 15%
• Tests 18%
Skills - Worksheets; Job sheets; and Work Journals; 34%
Employability; 33%
• Professionalism 20%
• Homework 13%
Professionalism is defined as by the following;
• Effort; willingness to be taught and to participate in the learning process
• Prepared; arriving with notebook; writing instrument; and dressed properly
• Behavior; Avoiding disruptive behavior and respecting other students
• Punctuality and Attendance
Cheating in any form will not be tolerated. Any student who cheats or allows another student to cheat will receive a zero. The student will also have to meet with the Instructor and Principal to determine further action.
Disclaimer;
Syllabus; Evaluation Procedures; Grading Policy and Practices may be modified to fit the needs of this particular class or based on an individual’s circumstances that are beyond the students’ control.
Plagiarism; includes but is not limited
1. To offering the work of another as one’ own; offering the work of another without proper acknowledgment
2. Failing to give credit for quotations or essentially identical expression of material taken from books; encyclopedias; magazines; other reference works; term papers; reports or other sources of another individual.
MAKE-UP WORK AND LATE HOMEWORK POLICY
Students who miss tests or deadlines due to absence (including being tardy or leaving early) may; at the discretion of the instructor; be granted one week after returning to class in which to make up or submit the missed or late work. Work eligible for make-up or late submission is limited to homework; quizzes; major tests; mid-term or final exams and skills check-offs. Homework that is turned in late will lose 10% each day it is late and student will lose shop privileges until homework is completed. The student must initiate the request for make-up work missed due to absence; no later than the first day after returning from the absence. This policy applies to only work missed due to excused absences.
Extra Credit will NOT be assigned.
DRESS CODE
The dress code must be followed at all times. All clothing should be clean and in good repair. There should be no abusive; vulgar; explicit or profane language; pictures; graphics; or advertisements. Tank tops; crop tops; and halters are not permitted. Pants and jeans should be clean and in good repair. Shorts; cutoffs; sweat-suits; and sports attire are not permitted. Shoes should be in good repair. Beach shoes; shower shoes; and slippers are not permitted. Hats; caps; and other headwear are not permitted. Failure to comply with the dress code will result in disciplinary action and a reduction in professionalism points.
Safety glasses are required to worn in the shop at all times. If you are not wearing your safety glasses; points will be deducted from your skills and employability grade.

School Country

United States

School state

Arizona

School city

Mesa

School Address

1601 W. Main Street

School zip code

85201

Requested competency code

Math

Date submitted

04/15/2016

Approved

Yes

Approved competency code

• MTH1
• 4 years of Math

Approved date

06/7/2016

Online / Virtual

No