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Engineering Mathematics
Engineering · Texas TEKS
| Strand | Standard ID | Standard Statement | Covered? | CLX Match List |
|---|---|---|---|---|
| 1. The Student Uses Mathematical Processes To Acquire And Demonstrate Mathematical Underst... | 1.1.1 | apply mathematics to problems arising in everyday life, society, and the workplace | ✅ | • OpenStax : Elementary Algebra 2e : 3.1 Use a Problem-Solving Strategy (pending) • OpenStax : Elementary Algebra 2e : 3.6 Solve Applications with Linear Inequalities (pending) • OpenStax : Elementary Algebra 2e : 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem (pending) • OpenStax : Elementary Algebra 2e : 3.3 Solve Mixture Applications (pending) • OpenStax : Elementary Algebra 2e : 3.2 Solve Percent Applications (pending) |
| 1.1.2 | use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution | ✅ | • Infosec : Networking Fundamentals : NF (10) Networking Fundamentals: Network Troubleshooting • OpenStax : Elementary Algebra 2e : 3.1 Use a Problem-Solving Strategy (pending) • Core-LX : Physics : Physics: 02 Kinematics • Certify ED : Hospitality Management : Hospitality - Unit 03 - Communication Skills | |
| 1.1.3 | select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems | ✅ | • Core-LX : CK-12 Basic Geometry Concepts : CK-12 Basic Geometry Concepts • Chapter 08 - Right Triangles and Trigonometry • Core-LX : CK-12 Basic Geometry Concepts : CK-12 Basic Geometry Concepts • Chapter 08 - Right Triangles and Trigonometry • Core-LX : CK-12 Basic Geometry Concepts : CK-12 Basic Geometry Concepts • Chapter 08 - Right Triangles and Trigonometry • OpenStax : CK-12 Geometry : 8.1 Section 8.1: The Pythagorean Theorem (pending) • OpenStax : CK-12 Geometry : 8.7 Section 8.7: Extension: Laws of Sines and Cosines (pending) | |
| 1.1.4 | communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language | ✅ | • OpenStax : English II : 6.5 Lesson 6.5: Synthesizing Across Text Types (pending) • OpenStax : English II : 8.3 Lesson 8.3: Synthesizing & Citing Sources (pending) • Core-LX : ELA English III : ELA English III: Unit 03 • OpenStax : English III : 4.3 Lesson 4.3: Academic Discussion & Discourse (pending) | |
| 1.1.5 | create and use representations to organize, record, and communicate mathematical ideas | ✅ | • Core-LX : CK-12 Basic Geometry Concepts : CK-12 Basic Geometry Concepts • Chapter 07 - Similarity and Proportionality • OpenStax : Prealgebra 2e : 9.1 Use a Problem Solving Strategy (pending) • OpenStax : Elementary Algebra 2e : 3.1 Use a Problem-Solving Strategy (pending) • Core-LX : Prealgebra 2e : Prealgebra 2e - Chapter 09: Math Models and Geometry | |
| 1.1.6 | analyze mathematical relationships to connect and communicate mathematical ideas; | ✅ | • OpenStax : Elementary Algebra 2e : 3.1 Use a Problem-Solving Strategy (pending) • OpenStax : Elementary Algebra 2e : 3.5 Solve Uniform Motion Applications (pending) • OpenStax : Elementary Algebra 2e : 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem (pending) • Core-LX : CK-12 Basic Geometry Concepts : CK-12 Basic Geometry Concepts • Chapter 07 - Similarity and Proportionality • OpenStax : CK-12 Geometry : 2.5 Section 2.5: Proofs about Angle Pairs and Segments (pending) | |
| 1.1.7 | display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication | ✅ | • OpenStax : CK-12 Geometry : 2.5 Section 2.5: Proofs about Angle Pairs and Segments (pending) • Core-LX : ELA English III : ELA English III: Unit 03 • OpenStax : English III : 4.3 Lesson 4.3: Academic Discussion & Discourse (pending) • OpenStax : English III : 3.4 Lesson 3.4: Responding with Academic Precision (pending) | |
| 2. The Student Uses Mathematically Based Hydraulics Concepts To Measure And Find Pump Outp... | 2.1.1 | explain how flow rate can be measured in gallons per minute and liters per minute | ✅ | • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement |
| 2.1.2 | calculate and record data using actual flow rates from a flow meter chart | ✅ | • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement | |
| 2.1.3 | calculate, measure, and illustrate the force output and speed of an extending and retracting cylinder; | ✅ | • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 • Core-LX : NCCER 16 - Equipment Identification and Classification NCCER Heavy Equipment Operations Level 1 : NCCER 16 - Equipment Identification and Classification NCCER Heavy Equipment Operations Level 1 • Core-LX : NCCER Heavy Equipment Operations L1 : Equipment Identification and Classification (pending) • Core-LX : NCCER Industrial Maintenance Mechanic L1 : Maintenance Mathematics (pending) | |
| 2.1.4 | determine and depict the stroke time of a cylinder in gallons per minute | ✅ | • TPC : TPC Mechanical Systems : 307 Basic Hydraulics • TPC : TPC Mechanical Systems : 307 Basic Hydraulics • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 • Core-LX : NCCER Industrial Maintenance Mechanic L1 : Maintenance Mathematics (pending) | |
| 3. The Student Uses Mathematical Concepts Of Structure Design To Define And Describe Stati... | 3.1.1 | calculate a resultant force | ✅ | • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 • Core-LX : NCCER 16 - Equipment Identification and Classification NCCER Heavy Equipment Operations Level 1 : NCCER 16 - Equipment Identification and Classification NCCER Heavy Equipment Operations Level 1 • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion |
| 3.1.2 | apply the concept of equilibrium to force calculations | ✅ | • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • Core-LX : Physics : Physics: 09 Statics and Torque | |
| 3.1.3 | calculate a force using a free-body diagram | ✅ | • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion | |
| 3.1.4 | develop an application of strain gauges that determines mathematically and experimentally the force on a structural element | ✅ | • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement | |
| 3.1.5 | calculate the magnitude of force applied to a rotational system | ✅ | • Core-LX : Physics : Physics: 09 Statics and Torque • Core-LX : Physics : Physics: 10 Rotational Motion and Angular Momentum • Core-LX : Physics : Physics: 06 Uniform Circular Motion and Gravitation | |
| 3.1.6 | apply the moment equilibrium equation to force calculations | ✅ | • Core-LX : Physics : Physics: 09 Statics and Torque • Core-LX : Physics : Physics: 10 Rotational Motion and Angular Momentum | |
| 3.1.7 | calculate, measure, and illustrate a bending moment on a beam | ✅ | • Core-LX : Physics : Physics: 09 Statics and Torque • Core-LX : Physics : Physics: 07 Work Energy and Energy Resources | |
| 3.1.8 | determine and depict the bending stress in a beam | ✅ | • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement | |
| 3.1.9 | calculate forces in truss using a six-step problem-solving method | ✅ | • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion | |
| 3.1.10 | apply modulus of elasticity to the deflection of beams | ✅ | • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement | |
| 3.1.11 | calculate a beam deflection for a given load | ✅ | • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement | |
| 3.1.12 | determine and depict the critical load for buckling using Euler's formula; | ✅ | • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement | |
| 3.1.13 | design and apply factors of safety to column and beam design | ✅ | • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion | |
| 4. The Student Understands The Role Of Trigonometry In Spatial Applications. The Student I... | 4.1.1 | apply trigonometric ratios, including sine, cosine, and tangent, to spatial problems; | ✅ | • OpenStax : CK-12 Geometry : 8.5 Section 8.5: Tangent, Sine and Cosine (pending) • Core-LX : CK-12 Basic Geometry Concepts : CK-12 Basic Geometry Concepts • Chapter 08 - Right Triangles and Trigonometry • TPC : TPC Industrial Fundamentals : 103 Mathematics in the Plant • TPC : TPC Industrial Fundamentals : 103 Mathematics in the Plant • Open Textbooks : Introductory Algebra : Intro Algebra: 09 Trigonometry |
| 4.1.2 | determine the distance and height of remote objects using trigonometry | ✅ | • OpenStax : CK-12 Geometry : 8.6 Section 8.6: Inverse Trigonometric Ratios (pending) • Core-LX : CK-12 Basic Geometry Concepts : CK-12 Basic Geometry Concepts • Chapter 08 - Right Triangles and Trigonometry • TPC : TPC Industrial Fundamentals : 103 Mathematics in the Plant • OpenStax : CK-12 Geometry : 8.7 Section 8.7: Extension: Laws of Sines and Cosines (pending) • OpenStax : Precalculus 2e : Section 8.1: Non-right Triangles: Law of Sines (pending) | |
| 5. The Student Understands The Concepts Of Design Processes With Multi-View Computer-Aided... | 5.1.1 | determine a dimension of an object given a scaled drawing having no dimensions | ✅ | • OpenStax : CK-12 Geometry : 7.2 Section 7.2: Similar Polygons (pending) |
| 5.1.2 | compare and contrast the function of production time and production rate | ❌ | no genuine match | |
| 5.1.3 | calculate and apply the proper cycle time and analyze machines required to meet a specified production rate | ❌ | no genuine match | |
| 5.1.4 | demonstrate the calculation and application of output shaft speed and torque in a gear train | ✅ | • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 • Core-LX : All Lessons : ASVAB Mechanical: Gears, Springs, and Cams (pending) • Core-LX : NCCER Industrial Maintenance Mechanic L1 : Maintenance Mathematics (pending) | |
| 5.1.5 | create a method to determine the direction of a gear train's output shaft | ✅ | • Gittel Grant : Unit 6: Mechanical Engineering II : Unit 6: Mechanical Engineering II: Lesson 09-10 | |
| 5.1.6 | design a spur gear train given speed and torque requirements | ✅ | • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 • Core-LX : All Lessons : ASVAB Mechanical: Gears, Springs, and Cams (pending) | |
| 5.1.7 | calculate and apply the proper spacing between the centers of gears in a gear train to a specified tolerance | ✅ | • Core-LX : NCCER Pipefitting L1 : Pipe Offset Calculations (pending) | |
| 5.1.8 | apply positional tolerances to assembled parts | ✅ | • Core-LX : All Lessons : Blueprint Reading and Geometric Dimensioning and Tolerancing (GD&T) (pending) | |
| 5.1.9 | predict the production cost of a product given process information and a bill of materials | ✅ | • Core-LX : Intro Woodworking (Iowa State Gap) : Bill of Materials and Cost Analysis (pending) • Open Textbooks : Principles of Managerial Accounting : Principles of Managerial Accounting: 02 Job-order Costing | |
| 5.1.10 | apply the correct spindle speed for a computer-aided manufacturing device by calculation | ✅ | • Open Textbooks : Machine Shop Fundamentals : Machine Shop Fundamentals: 03 Milling Machines • Open Textbooks : Support for CNC : CNC01: Lesson 1 IMTL-136 Workbook • TPC : TPC Machine Shop Practices : 326 Basic Milling Procedures | |
| 5.1.11 | apply the correct feed rate for a computer-aided manufacturing device by using calculation | ✅ | • Open Textbooks : Machine Shop Fundamentals : Machine Shop Fundamentals: 03 Milling Machines • TPC : TPC Machine Shop Practices : 326 Basic Milling Procedures | |
| 5.1.12 | calculate the pressure drop in an injection mold system | ✅ | • TPC : TPC Air Conditioning & Refrigeration Training : 436 Piping • TPC : TPC Air Conditioning & Refrigeration Training : 436 Piping • TPC : TPC Air Conditioning & Refrigeration Training : 436 Piping • TPC : TPC Air Conditioning & Refrigeration Training : 436 Piping | |
| 5.1.13 | design a gate size in an injection mold system using the gate width and depth formulas | ❌ | no genuine match | |
| 5.1.14 | determine the size of a mold; | ❌ | no genuine match | |
| 5.1.15 | create size runners for a multi-cavity mold | ❌ | no genuine match | |
| 6. The Student Calculates Electronic Quantities And Uses Electrical Measuring Instruments ... | 6.1.1 | apply common electronic formulas to solve problems | ✅ | • Core-LX : All Lessons : Electrical Fundamentals for Industrial Technicians (pending) • Core-LX : NCCER Level2 Advanced : Advanced AC Electrical Theory (pending) • TPC : TPC Electrical Training Courses : 201 Basic Electricity and Electronics • Core-LX : Physics : Physics: 20 Electric Current Resistance and Ohms Law • TPC : TPC Industrial Electronics : 253 Amplifiers |
| 6.1.2 | use engineering notation to properly describe calculated and measured values | ✅ | • TPC : TPC Industrial Fundamentals : 103 Mathematics in the Plant • Open Textbooks : Introductory Algebra : Intro Algebra: 07 Powers, Roots, & Scientific Notation | |
| 6.1.3 | compare and contrast the mathematical differences between a direct current and alternating current | ✅ | • Core-LX : Physics : Physics: 20 Electric Current Resistance and Ohms Law • Certify ED : Electrical (Video & VR) : Electrical - Unit 03 - Fundamentals of Electrical Circuits • Certify ED : Fundamentals of Robotics (Video & VR) : Fundamentals of Robotics - Unit 03 - Fundamentals of Electrical Circuits and Motors for Robotics | |
| 6.1.4 | show the effect and give an application of an inductor in an alternating current circuit | ✅ | • Core-LX : NCCER Level2 Advanced : Advanced AC Electrical Theory (pending) • TPC : TPC Electrical Training Courses : 203 Transformers and AC Circuits • TPC : TPC Electrical Training Courses : 203 Transformers and AC Circuits | |
| 6.1.5 | show the effect and give an application of a capacitor in an alternating current circuit | ✅ | • Core-LX : NCCER Level2 Advanced : Advanced AC Electrical Theory (pending) • TPC : TPC Electrical Training Courses : 203 Transformers and AC Circuits • TPC : TPC Electrical Training Courses : 203 Transformers and AC Circuits • TPC : TPC Electrical Training Courses : 203 Transformers and AC Circuits | |
| 6.1.6 | create a resistive capacitive timing circuit in a time-delay circuit | ✅ | • TPC : TPC Industrial Electronics : 254 Oscillators | |
| 6.1.7 | calculate the output voltage and current load of a transformer | ✅ | • Certify ED : Electrical (Video & VR) : Electrical - Unit 06 - Electrical System Sizing and Calculations • TPC : TPC Electrical Training Courses : 203 Transformers and AC Circuits • TPC : TPC Electrical Training Courses : 203 Transformers and AC Circuits | |
| 6.1.8 | 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; | ✅ | • Core-LX : NCCER Level2 Advanced : Advanced AC Electrical Theory (pending) • TPC : TPC Electrical Training Courses : 203 Transformers and AC Circuits • TPC : TPC Electrical Training Courses : 203 Transformers and AC Circuits | |
| 6.1.9 | calculate the cost of operating an electric motor | ✅ | • TPC : TPC Energy Conservation : 380 Electrical Energy Conservation | |
| 7. The Student Applies Mathematical Principles Of Pneumatic Pressure And Flow To Explain P... | 7.1.1 | calculate the force output of a cylinder in retraction and extension | ✅ | • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 • Core-LX : NCCER 16 - Equipment Identification and Classification NCCER Heavy Equipment Operations Level 1 : NCCER 16 - Equipment Identification and Classification NCCER Heavy Equipment Operations Level 1 • TPC : TPC Mechanical Systems : 309 Basic Pneumatics |
| 7.1.2 | explain how gage pressure and absolute pressure are different | ✅ | • Certify ED : HVAC 1 (Video & VR) : HVAC 1 - Unit 02 - HVAC Safety, Regulations, and Mathematics • Core-LX : Chemistry 2e : Chemistry 2e: 09 Gases • Core-LX : Physics : Physics: 11 Fluid Statics | |
| 7.1.3 | explain the individual gas laws and use the ideal gas law to solve problems | ✅ | • Core-LX : Physics : Physics: 13 Temperature Kinetic Theory and the Gas Laws • Core-LX : Chemistry 2e : Chemistry 2e: 09 Gases • OpenStax : Chemistry 2e : 9.2 Relating Pressure, Volume, Amount, and Temperature: The Ideal Gas Law (pending) | |
| 7.1.4 | convert air volumes at pressures to free air volumes | ✅ | • OpenStax : Chemistry 2e : 9.3 Stoichiometry of Gaseous Substances, Mixtures, and Reactions (pending) | |
| 7.1.5 | compare dew point and relative humidity to explain their importance | ✅ | • TPC : TPC Mechanical Systems : 309 Basic Pneumatics • Teach Construction : Green Building: Building Science Principles : Green Building: Building Science Principles - 03 Moisture | |
| 7.1.6 | explain the importance of the two units of pump flow rate measurement | ✅ | • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement | |
| 7.1.7 | convert between mass and volumetric flow rate | ✅ | • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement | |
| 7.1.8 | differentiate between unit analysis such as converting units of pressure between English and SI units and dimensional analysis such as Force and Pressure | ✅ | • Core-LX : Chemistry 2e : Chemistry 2e: 09 Gases • OpenStax : Chemistry 2e : 1.4 Measurements (pending) | |
| 7.1.9 | convert between units of head and pressure | ✅ | • Core-LX : NCCER 33 - Water Distribution Fundamentals NCCER Plumbing Level 1 : NCCER 33 - Water Distribution Fundamentals NCCER Plumbing Level 1 • Open Textbooks : Math for Trades: Volume 3 : Math for Trades Volume III: 02 Pressure and Total Force | |
| 7.1.10 | explain the importance of total dynamic head in terms of suction and discharge head | ✅ | • TPC : TPC Mechanical Systems : 305 Pumps • TPC : TPC Process Control Instrumentation : 275 Flow Measurement | |
| 7.1.11 | demonstrate the measurement of the total head of a centrifugal pump | ✅ | • TPC : TPC Mechanical Maintenance Applications : 344 - Pump Installation and Maintenance | |
| 7.1.12 | calculate Reynolds number and determine the type of fluid flow in a pipe, including laminar flow, transitional flow, and turbulent flow | ✅ | • Core-LX : Physics : Physics: 12 Fluid Dynamics and Its Biological and Medical Applications • TPC : TPC Air Conditioning & Refrigeration Training : 464 Purging, Piping, and Safety • TPC : TPC Air Conditioning & Refrigeration Training : 464 Purging, Piping, and Safety | |
| 7.1.13 | calculate friction head loss in a given pipe length using head loss tables or charts | ✅ | • TPC : TPC Process Control Instrumentation : 275 Flow Measurement • TPC : TPC Process Control Instrumentation : 275 Flow Measurement | |
| 7.1.14 | calculate total suction lift, total suction head, total discharge head, and the total dynamic head of a system for a given flow rate | ✅ | • TPC : TPC Mechanical Systems : 305 Pumps • TPC : TPC Process Control Instrumentation : 275 Flow Measurement | |
| 7.1.15 | calculate hydraulic power | ✅ | • TPC : TPC Air Conditioning & Refrigeration Training : 432 Refrigerants and Refrigerant Oils • TPC : TPC Air Conditioning & Refrigeration Training : 432 Refrigerants and Refrigerant Oils • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 | |
| 7.1.16 | calculate centrifugal pump brake horsepower given pump efficiency and hydraulic power | ✅ | • TPC : TPC Mechanical Maintenance Applications : 344 - Pump Installation and Maintenance | |
| 7.1.17 | calculate the effect of impeller diameter and speed on the flow rate of a centrifugal pump and pump head | ✅ | • Core-LX : NCCER 35 - Power Plant Equipment: Pumps and Valves NCCER Power Generation Maintenance Mechanic Level 1 : NCCER 35 - Power Plant Equipment: Pumps and Valves NCCER Power Generation Maintenance Mechanic Level 1 | |
| 7.1.18 | predict the effect of impeller diameter on a pump head capacity curve; | ✅ | • Core-LX : NCCER 35 - Power Plant Equipment: Pumps and Valves NCCER Power Generation Maintenance Mechanic Level 1 : NCCER 35 - Power Plant Equipment: Pumps and Valves NCCER Power Generation Maintenance Mechanic Level 1 | |
| 7.1.19 | calculate net positive suction head | ✅ | • TPC : TPC Mechanical Maintenance Applications : 344 - Pump Installation and Maintenance | |
| 8. The Student Applies Mathematical Principles Of Material Engineering, Including Tensile ... | 8.1.1 | calculate stress, strain, and elongation using the modulus of elasticity for a material or model with a given set of data | ✅ | • Core-LX : Physics : Physics: 05 Further Applications of Newtons Laws • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement |
| 8.1.2 | analyze and explain the importance of sensitivity in relation to material engineering | ✅ | • TPC : TPC Process Control Systems : 282 How Control Loops Operate | |
| 8.1.3 | analyze the operation of a data-acquisition application or program | ✅ | • TPC : TPC Process Control Systems : 283 Data Transmission • TPC : TPC Process Control Systems : 283 Data Transmission | |
| 8.1.4 | mathematically analyze a part for stress and strain under a compression load | ✅ | • Core-LX : Physics : Physics: 05 Further Applications of Newtons Laws | |
| 8.1.5 | calculate shear stress for a material with a given set of data | ✅ | • Core-LX : Physics : Physics: 05 Further Applications of Newtons Laws | |
| 8.1.6 | use the Brinell hardness number to determine the ultimate tensile strength of a material | ❌ | no genuine match | |
| 8.1.7 | apply factors of safety to material engineering designs; | ❌ | no genuine match | |
| 8.1.8 | create material testing conditions for a model using equipment such as a polariscope | ❌ | no genuine match | |
| 9. The Student Applies Mathematical Principles For Mechanical Drives, Including Levers, Li... | 9.1.1 | calculate the weight of an object for a given mass | ✅ | • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Industrial Fundamentals : 104 Making Measurements |
| 9.1.2 | analyze and calculate torque for a given application using the proper units of measurement | ✅ | • Core-LX : Physics : Physics: 09 Statics and Torque • TPC : TPC Mechanical Systems : 309 Basic Pneumatics • TPC : TPC Mechanical Systems : 309 Basic Pneumatics | |
| 9.1.3 | calculate the magnitude of force applied to a rotational system | ✅ | • Core-LX : Physics : Physics: 04 Dynamics, Force and Newtons Laws of Motion • TPC : TPC Mechanical Systems : 307 Basic Hydraulics • TPC : TPC Mechanical Systems : 307 Basic Hydraulics | |
| 9.1.4 | calculate the mechanical advantage of first-, second-, and third-class levers | ✅ | • Gittel Grant : Unit 5: Mechanical Engineering I : Unit 5: Mechanical Engineering I: Lesson 17-18 • Gittel Grant : Unit 5: Mechanical Engineering I : Unit 5: Mechanical Engineering I: Lesson 17-18 • TPC : TPC Mechanical Systems : 301 Basic Mechanics | |
| 9.1.5 | compare the advantages and disadvantages of the three classes of levers for different applications | ✅ | • Gittel Grant : Unit 5: Mechanical Engineering I : Unit 5: Mechanical Engineering I: Lesson 15-16 | |
| 9.1.6 | calculate and analyze the coefficient of friction in its proper units of measurement | ✅ | • TPC : TPC Mechanical Systems : 301 Basic Mechanics • Core-LX : Physics : Physics: 05 Further Applications of Newtons Laws | |
| 9.1.7 | analyze and calculate mechanical advantage for simple machines using proper units of measurement | ✅ | • TPC : TPC Mechanical Systems : 301 Basic Mechanics • TPC : TPC Mechanical Systems : 301 Basic Mechanics • Certify ED : Agricultural Science (Video & VR) : Agricultural Science - Unit 34 - Mechanical Advantage and Simple Machines | |
| 9.1.8 | calculate the mechanical advantage of gear drive systems | ✅ | • Core-LX : NCCER Industrial Maintenance Mechanic L1 : Maintenance Mathematics (pending) • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 • Core-LX : All Lessons : ASVAB Mechanical: Gears, Springs, and Cams (pending) | |
| 9.1.9 | compare and contrast at least two methods of loading a mechanical drive system | ✅ | • TPC : TPC Mechanical Maintenance Applications : 342 Mechanical and Fluid Drive Systems • TPC : TPC Mechanical Maintenance Applications : 342 Mechanical and Fluid Drive Systems • TPC : TPC Mechanical Maintenance Applications : 342 Mechanical and Fluid Drive Systems | |
| 9.1.10 | calculate rotary mechanical power applied to an application | ✅ | • Core-LX : Physics : Physics: 07 Work Energy and Energy Resources • TPC : TPC Mechanical Systems : 309 Basic Pneumatics • TPC : TPC Mechanical Systems : 307 Basic Hydraulics | |
| 9.1.11 | analyze the mechanical efficiency of a given application | ✅ | • TPC : TPC Mechanical Systems : 301 Basic Mechanics • Gittel Grant : Unit 5: Mechanical Engineering I : Unit 5: Mechanical Engineering I: Lesson 11-12 • TPC : TPC Energy Conservation : 379 Mechanical Energy Conservation | |
| 9.1.12 | demonstrate various examples of pitch and analyze its proper application | ✅ | • TPC : TPC Mechanical Systems : 303.1 Power Transmission Equipment • Gittel Grant : Unit 6: Mechanical Engineering II : Unit 6: Mechanical Engineering II: Lesson 11-12 | |
| 9.1.13 | calculate the shaft speed and torque of a belt drive and chain drive system; | ✅ | • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 • Core-LX : NCCER Industrial Maintenance Mechanic L1 : Maintenance Mathematics (pending) • Open Textbooks : Machine Shop Fundamentals : Machine Shop Fundamentals: 03 Milling Machines | |
| 9.1.14 | calculate sprocket ratio and analyze its importance to various applications | ✅ | • Gittel Grant : Unit 6: Mechanical Engineering II : Unit 6: Mechanical Engineering II: Lesson 11-12 • Core-LX : All Lessons : ASVAB Mechanical: Gears, Springs, and Cams (pending) • Core-LX : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 : NCCER 23 - Maintenance Mathematics NCCER Industrial Maintenance Mechanic Level 1 | |
| 10. The Student Applies Mathematical Principles Of Quality Assurance, Including Using Preci... | 10.1.1 | evaluate the readings of dial calipers and micrometers to make precise measurements | ✅ | • TPC : TPC Process Control Instrumentation : 274 Force, Weight, and Motion Measurement • TPC : TPC Welding Online Training : 416 Blueprint Reading for Welders • Core-LX : NCCER 41 - Advanced Mechanical Maintenance NCCER Level 2 : NCCER 41 - Advanced Mechanical Maintenance NCCER Level 2 |
| 10.1.2 | use at least three measures of central tendency to analyze the quality of a product | ✅ | • Core-LX : Principles of Data Science : Principles of Data Science - Chapter 03: Descriptive Statistics • Open Textbooks : An Introduction to Business Statistics for Analytics (1st Edition) : IBSA: 01 Measures of Central Location • Open Textbooks : An Introduction to Business Statistics for Analytics (1st Edition) : IBSA: 01 Measures of Central Location • Open Textbooks : Geographic Information Systems and Cartography : GIS and Cartography: 06 Geospatial Data Characteristics and Visualization | |
| 10.1.3 | use a manually constructed histogram to analyze a given set of data | ✅ | • Core-LX : BioTechnology Skills : Biotech Lab Skills • Core-LX : Principles of Data Science : Principles of Data Science - Chapter 09: Visualizing Data | |
| 10.1.4 | construct and use a mean-value-and-range chart to determine if a process remains constant over a specified range of time | ✅ | • Core-LX : All Lessons : Statistical Process Control: Control Charts and Process Capability (pending) | |
| 10.1.5 | examine the maximum and minimum limits of a dimension given its tolerance; | ✅ | • Core-LX : All Lessons : Blueprint Reading and Geometric Dimensioning and Tolerancing (GD&T) (pending) | |
| 10.1.6 | use position tolerance to calculate the location of a hole | ✅ | • Core-LX : All Lessons : Blueprint Reading and Geometric Dimensioning and Tolerancing (GD&T) (pending) |
Coverage Summary
Core-LX delivers strong coverage of this TEKS course at 92% of sub-standards aligned.
Primary publishers contributing alignment: TPC (94), Core-LX (88), OpenStax (29), Open Textbooks (11), Gittel Grant (7).
Gap-closure roadmap (8 sub-standards not yet aligned, grouped by strand):
- Strand 5. The Student Understands The Concepts Of Design Processes With Multi-View Computer-Aided...: 5 sub-standard(s) — candidate for a focused Gap Lesson
- Strand 8. The Student Applies Mathematical Principles Of Material Engineering, Including Tensile ...: 3 sub-standard(s) — candidate for a focused Gap Lesson
Eligible for Gap Lesson / Gap Lab generation — coverage exceeds the 85% threshold; any remaining sub-standard gaps will be closed by auto-generated lessons in the next pipeline phase.
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