Outcomes
In order to successfully complete this course, the student will:
1. Demonstrate the principles of using whole numbers by:
10. Define metric system of weights and measures.
11. Identify and list the conversions for the frequently used customary units for length, area, volume, and weight.
12. Identify the metric system prefixes and define the value of each prefix represents.
13. Identify the list of metric units for length, area, weight, volume, and temperature.
14. Apply customary system of weights and measures and metric system of weights and measures by:
14a. Determining number of board feet
14b. Determining the size of a machined part using the metric micrometer.
14c. Determining an engine?s cylinder displacement using cubic inches and liters.
14d. Converting cord of wood to metric cord wood.
14e Determining the quantity of material, measured in customary system of weights and measures, required to complete a work order measured in metric system of weights and measures.
14f. Determining the quantity of material, measured in metric system of weights and measures, required to complete a work order measured in the customary system of weights and measures.
15. Demonstrate solving real world problems by applying algebraic concepts in welding, construction trades, automotive, etc.
16. Explain the purpose of geometry and how geometry is applied in welding, construction trades, automotive, etc.
17. Define basic terms of geometry.
18. Demonstrate how to use a protractor to measure and draw angles.
19. Demonstrate applying geometry principles by:
19a. Identifying types of angles used in construction, welding, automotive, electrical wiring, machining, etc.
19b. Demonstrate drawing and cutting a correct angle required in construction, welding, automotive, electrical, machining, etc.
1a. Describing the origination of the decimal number system.
1b. Identifying and explaining the basic process of counting in decimal using the following terms: base or radix, positional weight, reset and carry.
1c. Applying principles of whole numbers solving electrical, machining, automotive, plumbing, welding, and construction problems.
2. Demonstrate the principles of using fractions by:
20. Define the term plane figure.
21. Identify and describe the different types of polygons.
22. Apply geometry formulas by:
22a. Calculating area of plane figures.
22b. Determining quaintly of material to order from area calculations.
23. Explain the purpose of trigonometric and how trigonometric is applied in construction trades, welding, automotive, etc.
24. Define the following trigonometric terms: Opposite, Adjacent, Hypotenuse, Theta, Sine, Cosine, tangent.
25. Demonstrate how the sine, cosine, and tangent functions are applied to calculate the following:
25a. Length of an unknown side of a right-angle triangle if the length of another side and the angle theta are known.
25b. The angle theta of a right-angle triangle if the lengths of two sides of the triangle are known.
26. Define the term solid figure and identify the different types.
27. Apply the formulas pertaining to solid figures for determining the lateral surface area, total surface area, and volume of solid figures for construction trades, welding, automotive, etc.
28. Communicate a world view of the impact of the United States Weights and Measurement System versus the global metric system.
29. Compare and contrast a world with math and a world without math.
2a. Describing what a fraction is and identifying the elements of a fraction.
2b. Articulating how fractions are represented.
2c. Interpreting scales by using measuring tapes, ammeter, and gasoline gauge, etc.
2d. Identifying sizing of material from small to large, from thin to thickness, depth, diameter, sizing of tools, etc.
2e. Solving mixture solutions for paint, fertilizer, solvent, etc.
2f. Applying fractions to determine a roof?s pitch.
3. Demonstrate adding fractions by:
3a Describing how fractions are added.
3b. Identifying and defining a proper fraction, improper fraction, and a mixed fraction.
3c. Describing how mixed fractions are added.
3d. Describing how to reduce fractions.
3e. Calculating the size of guide hole.
3f. Calculating total number of oil, paint, etc. used to complete a work order.
3g. Calculating length of a machine part, pipe, wall, flooring, bolt, etc.
4. Demonstrate subtracting proper and mixed fractions by:
4a. Determining the difference in height between objects.
4b. Determining missing dimensions.
4c. Determining the power rating difference between watt resistors.
4d. Calculating new diameter after a cylinder is machined.
4e. Calculating the wall thickness of pipe.
5a. Calculating number of ?x? inch boards that must can be cut from a ?y? foot plank.
5b. Calculating number of ?x? watt motors that can be run on ?y? watt circuit.
5c. Calculating the number of revolutions required to advance an ?x? threaded pipe threaded to ?y? inches.
5d. Calculating number of ?x? foot supporting beams can be cut from a ?y? foot roll.
5e. Calculating and drawing plans to scale.
5f. Determining the scale of plans and calculating actual dimension of the plan
6. Demonstrate using cancellation to simplify fraction multiplication or division by:
6a. Describing pitch of a roof in a single figure.
6b. Describing the length of an object in its lowest terms.
6c. Calculating the difference of a piston size when it is cold and when it is hot to the lowest terms.
7. Define the function of the decimal point as applied to welding, construction trades, automotive, etc.
8. Demonstrate converting written fractions to decimal fractions, calculating reciprocals, and converting decimal fractions to written fractions by:
8a. Converting drill bit diameters from fractions vales to decimal equivalent values.
8b. Converting thicknesses of construction material from decimal equivalents to fractional values.
8c. Identifying specific specifications required to complete a work order (automotive, welding, construction) and calculating the variances allowed for the specification.
9. Define customary system of weights and measures.