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TITLE 19EDUCATION
PART 2TEXAS EDUCATION AGENCY
CHAPTER 127TEXAS ESSENTIAL KNOWLEDGE AND SKILLS FOR CAREER DEVELOPMENT AND CAREER AND TECHNICAL EDUCATION
SUBCHAPTER OSCIENCE, TECHNOLOGY, ENGINEERING, AND MATHEMATICS
RULE §127.754Engineering Mathematics (One Credit), Adopted 2015

    (K) apply the correct feed rate for a computer-aided manufacturing device by using calculation;

    (L) calculate the pressure drop in an injection mold system;

    (M) design a gate size in an injection mold system using the gate width and depth formulas;

    (N) determine the size of a mold; and

    (O) create size runners for a multi-cavity mold.

  (7) The student calculates electronic quantities and uses electrical measuring instruments to experimentally test their calculations. The student is expected to:

    (A) apply common electronic formulas to solve problems;

    (B) use engineering notation to properly describe calculated and measured values;

    (C) compare and contrast the mathematical differences between a direct current and alternating current;

    (D) show the effect and give an application of an inductor in an alternating current circuit;

    (E) show the effect and give an application of a capacitor in an alternating current circuit;

    (F) create a resistive capacitive timing circuit in a time-delay circuit;

    (G) calculate the output voltage and current load of a transformer;

    (H) calculate the effective alternating current voltage root mean square given the peak alternating current voltage and the peak alternating current voltage given the root mean square value; and

    (I) calculate the cost of operating an electric motor.

  (8) The student applies mathematical principles of pneumatic pressure and flow to explain pressure versus cylinder force, apply and manipulate pneumatic speed control circuits, and describe maintenance of pneumatic equipment, centrifugal pump operation and characteristics, data acquisition systems, pump power, and pump system design. The student is expected to:

    (A) calculate the force output of a cylinder in retraction and extension;

    (B) explain how gage pressure and absolute pressure are different;

    (C) explain the individual gas laws and use the ideal gas law to solve problems;

    (D) convert air volumes at pressures to free air volumes;

    (E) compare dew point and relative humidity to explain their importance;

    (F) explain the importance of the two units of pump flow rate measurement;

    (G) convert between mass and volumetric flow rate;

    (H) differentiate between unit analysis such as converting units of pressure between English and SI units and dimensional analysis such as Force and Pressure;

    (I) convert between units of head and pressure;

    (J) explain the importance of total dynamic head in terms of suction and discharge head;

    (K) demonstrate the measurement of the total head of a centrifugal pump;

    (L) calculate Reynolds number and determine the type of fluid flow in a pipe, including laminar flow, transitional flow, and turbulent flow;

    (M) calculate friction head loss in a given pipe length using head loss tables or charts;

    (N) calculate total suction lift, total suction head, total discharge head, and the total dynamic head of a system for a given flow rate;

    (O) calculate hydraulic power;

    (P) calculate centrifugal pump brake horsepower given pump efficiency and hydraulic power;

    (Q) calculate the effect of impeller diameter and speed on the flow rate of a centrifugal pump and pump head;

    (R) predict the effect of impeller diameter on a pump head capacity curve; and

    (S) calculate net positive suction head.

  (9) The student applies mathematical principles of material engineering, including tensile strength analysis, data acquisition systems, compression testing and analysis, shear and hardness testing and analysis, and design evaluation. The student is expected to:

    (A) calculate stress, strain, and elongation using the modulus of elasticity for a material or model with a given set of data;

    (B) analyze and explain the importance of sensitivity in relation to material engineering;

    (C) analyze the operation of a data-acquisition application or program;

    (D) mathematically analyze a part for stress and strain under a compression load;

    (E) calculate shear stress for a material with a given set of data;

    (F) use the Brinell hardness number to determine the ultimate tensile strength of a material;

    (G) apply factors of safety to material engineering designs; and

    (H) create material testing conditions for a model using equipment such as a polariscope.

  (10) The student applies mathematical principles for mechanical drives, including levers, linkages, cams, turnbuckles, pulley systems, gear drives, key fasteners, v-belt drives, and chain drives. The student is expected to:

    (A) calculate the weight of an object for a given mass;

    (B) analyze and calculate torque for a given application using the proper units of measurement;

    (C) calculate the magnitude of force applied to a rotational system;

    (D) calculate the mechanical advantage of first-, second-, and third-class levers;

    (E) compare the advantages and disadvantages of the three classes of levers for different applications;

    (F) calculate and analyze the coefficient of friction in its proper units of measurement;

    (G) analyze and calculate mechanical advantage for simple machines using proper units of measurement;

    (H) calculate the mechanical advantage of gear drive systems;

    (I) compare and contrast at least two methods of loading a mechanical drive system;

    (J) calculate rotary mechanical power applied to an application;

    (K) analyze the mechanical efficiency of a given application;

    (L) demonstrate various examples of pitch and analyze its proper application;

    (M) calculate the shaft speed and torque of a belt drive and chain drive system; and

    (N) calculate sprocket ratio and analyze its importance to various applications.

  (11) The student applies mathematical principles of quality assurance, including using precision measurement tools, statistical process control, control chart operation, analysis of quality assurance control charts, geometric dimensioning and tolerancing, and location, orientation, and form tolerances. The student is expected to:

    (A) evaluate the readings of dial calipers and micrometers to make precise measurements;

    (B) use at least three measures of central tendency to analyze the quality of a product;

    (C) use a manually constructed histogram to analyze a given set of data;

    (D) construct and use a mean-value-and-range chart to determine if a process remains constant over a specified range of time;

    (E) examine the maximum and minimum limits of a dimension given its tolerance; and

    (F) use position tolerance to calculate the location of a hole.


Source Note: The provisions of this §127.754 adopted to be effective April 7, 2022, 47 TexReg 1677

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