Texas A&M University-Corpus Christi
Dept. of Computing and Mathematical Sciences

MATH 3303 §001-Spatial Systems
Summer II, 2000
Course Objectives

There are 42 objectives related to ratio/proportions, measurement, units, geometric figures, formulas, models for money and time, graphs, elementary statistics and probability and other topics.

This course will prepare the students to be able to:

1. Model, write, explain and complete ratio/proportion problems.
   1. Based upon the three methods of writing ratios and the four proportionate relationships that exist between two ratios.
   2. For ratios representing relationships between a subset and the total set. (Part to Whole)
   3. For ratios representing relationships between the total set and a subset (Whole to Part)
   4. For ratios representing relationships between a subset and another subset. (Part to Part)
   5. Create a part to whole or whole to part ratio from a stated part to part ratio.
2. Solve real world problems involving the establishment of abstract ratio/proportion problems.
3. Measure using metric units for linear measurement, area measurement, volume measurement, capacity measurement, weight/mass measurement, and temperature measurement; and write the measurement using the appropriate abbreviation.
4. Relate the measurement processes for linear measurement, area measurement, volume measurement, capacity measurement, weight/mass measurement, and temperature measurement in the metric system to the processes for each in the American system.
5. Model and explain the relationships that tie all categories of measurement within the metric system to each other, and explain the reason for the system having been developed in such a way.
6. Identify the theoretical units that exist within three places on either side of the basic unit in the metric system and explain the relationship between these unit categories and the place value system of the Hindu-Arabic Numeration system.
7. Identify the commonly used units within each category of the metric system and identify the real world uses for each.
8. Select the appropriate unit for a given measurement task within the categories of linear measurement, area measurement, volume measurement, capacity measurement, weight/mass measurement, and temperature measurement in the metric system; and identify the approximate temperature in the metric system for a given real world situation.
9. Select the appropriate measuring instrument for a given measurement task within the categories of linear measurement, area measurement, volume measurement, capacity measurement, weight/mass measurement, and temperature measurement; and explain why it is the appropriate instrument.
10. Convert from one theoretical unit in a category within the metric system to the next or higher lower commonly used unit within the same category, and explain the process and the reasoning supporting it.
11. Convert from each commonly used unit within the metric system to the next higher or lower commonly used unit within the same category, and explain the process and the reasoning supporting it.
12. Convert from the units in the category of volume measurement to the directly related units in the category of capacity measurement and vice-versa, and explain the process and the reasoning supporting it.
13. Identify plane figures, triangle, quadrilateral, rectangle, square, parallelogram, trapezoid, pentagon, (regular and irregular), hexagon (regular and irregular), octagon (regular and irregular), circle, solid figure, triangular prism, rectangular solid, cube, pentagonal prism, hexagonal prism, octagonal prism, pyramid (regular and oblique), triangular pyramid (tetrahedron), rectangular pyramid, pentagonal pyramid, hexagonal pyramid, octagonal pyramid, cone, cylinder, and sphere for the purpose of solving problems related to linear, area and volume measurement.
14. Apply formulas to find the area of triangles, squares, rectangles, parallelograms, circles,a dn composite figures formed from them; and explain why each formula provides the approrpiate measurement in each of the first four situations.
15. Apply formulas to find the surface area of rectangular solids, triangular prisms, pyramids and cylinders; and explain the process and the reasoning supporting it.
16. Apply formulas to find the volume of rectangular solids (including cubes), triangular prisms and cylinders; and explain why each formula provides the appropriate measurement.
17. Find the volume of irregularly shaped solid objects through the process of displacement and explain the process and why it provides the appropriate measurement.
18. Model and explain the value of each coin and the relative values of different coins.
19. Model and explain the values of like and unlike coins.
20. Model and explain the comparison and sequencing of sets of like and unlike coins according to their values.
21. Model and explain the creation of a set of coins for a given value using any number of coins and using the fewest number of coins available.
22. Explain and illustrate the extension of modeling monetary values to include bills.
23. Create examples for comparing and sequencing events according to duration based on life experiences rather than specified lengths of time.
24. Create examples for distinguishing among activities that take approximately one second, one minute and one hour.
25. Model and explain the teaching of time to the hour, half hour, and minute on both digital and analog clocks.
26. Create a table for a given set of data.
27. Name, read, interpret, construct, and analyze the construction of each of the following types of graphs:
    1. Picture graphs.
    2. Bar graphs for non-continuous and continuous data.
    3. Line graphs.
    4. Circle graphs.
28. Explain the advantages and disadvantages of each form of graph in the previous objective.
29. Examine the spread of the data in the table to the shape and spread of the related graph.
30. Determine each and choose among mean, median, mode or range to describe a set of data and justify the choice for a particular real world situtation.
31. Recognize graph distortions and inappropriate selection of statistical descriptors that mislead the reader.
32. Determine the appropriate graphs(s) for given data and explain the reasons for the appropriateness.
33. Model, write, explain, and complete addition and subtraction problems involving positive and negative numbers.
34. Graph numbers on a number line.
35. Graph points and linear equations on a coordinate plane, and identify the coordinates of graphed points on a coordinate plane.
36. Create linear equations for given real world problems.
37. Make inferences and convincing arguments based on analysis of given or collected data or graphs that have been constructed from them.
38. Construct sample spaces for compound events (dependent and independent) using lists and tree diagrams.
39. Find the probablity of a simple event and its complement and describe the relationship between the two.
40. Find the approximate probability of a compound event through experimentation.
41. Solve higher-level cognitive tasks involving applications and/or combinations of applications of concepts and processes specified in the previous objectives.
42. Accomplish any other objectives related to the purpose of the course and specified by the instructor.