Maricopa Community Colleges  MAT103AB   19974-19976 
Official Course Description: MCCCD Approval: 04/22/97
MAT103AB 19974-19976 LEC 1.50 Credit(s) 1.50 Period(s)
Technical Math for Construction II
Fundamentals of plane geometry and angular measure. Theorems, axioms, corollaries and definitions applying to triangles, congruent and similar figures, polygons, and circles. Computed measure of geometric figures, area, volume, surface area, and weight. Fundamentals of trigonometry, trigonometric functions, right triangles, law of sines and law of Cosines. Includes applied math problems. Prerequisites: GTC/MAT103AA or permission of the instructor.
Go to Competencies    Go to Outline
 
MCCCD Official Course Competencies:
 
MAT103AB   19974-19976 Technical Math for Construction II
1. Demonstrate a basic knowledge of the axioms and postulates of plan geometry (I)
2. Perform basic conversions of the units of angular measure and find measurements using semicircular protractor and scale readings. (II)
3. Demonstrate a basic knowledge of angles to include angles formed by a transversal. Apply applicable theorems and corollaries. (III)
4. Demonstrate a basic knowledge of triangles and the Pythagorean Theorem. (IV)
5. Solve practical application problems using the Pythagorean Theorem. (IV)
6. Solve practical application problems using congruent triangles and similar figures. (V)
7. Demonstrate a basic knowledge of polygons. (VI)
8. Demonstrate a basic knowledge of circles. (VII)
9. Calculate the areas of common polygons. (VIII)
10. Calculate the areas of circles, sectors, segments and ellipses. (IX)
11. Calculate the volumes, surface areas, and weights of prisms, circles, pyramids, cones, spheres, and composite solids. (X)
12. Apply fundamentals of trigonometry and trigonometric functions to solve practical application problems. (XI)
Go to Description    Go to top of Competencies
 
MCCCD Official Course Outline:
 
MAT103AB   19974-19976 Technical Math for Construction II
    I. Plane Geometry
        A. Axioms and postulates
        B. Points and lines
      II. Angular Measure
          A. Units of angular measure in Degrees, Minutes and Seconds.
          B. Degrees, Minutes and Seconds as Decimal Degrees.
          C. Decimal Degrees as Degrees, Minutes and Seconds
          D. Arithmetic operations on Angular measure.
          E. Circle Graphs
          F. Complements and Supplements
        III. Angles
            A. Naming Angles
            B. Types of Angles
            C. Angles formed by a Transversal
            D. Theorems and Corollaries
          IV. Triangles
              A. Types of Triangles
              B. Angles of a Triangle
              C. The Pythagorean Theorem
              D. Practical Applications
            V. Congruent and Similar Figures
                A. Congruent Triangles
                B. Similar Figures
                C. Practical Application of Similar Triangles
              VI. Polygons
                  A. Quadrilaterals
                  B. Interior and Exterior Angles
                  C. Practical applications
                VII. Circles
                    A. Circumference
                    B. Arc Length
                    C. Radian Measure
                    D. Tangents and Chord Segments
                    E. Angles formed inside, on, and outside a circle
                    F. Practical Applications
                  VIII. Areas of Common Polygons
                      A. Rectangles
                      B. Parallelograms
                      C. Trapezoids
                      D. Triangles
                    IX. Areas of Circles, Sectors, Segments and Ellipses
                        A. Circles
                        B. Sectors
                        C. Segments
                        D. Ellipses
                      X. Volumes, Surface Areas, and Weights
                          A. Prisms
                          B. Cylinders
                          C. Pyramids
                          D. Cones
                          E. Spheres
                          F. Composite Solids
                        XI. Trigonometry
                            A. Trigonometric Functions with Right Triangles
                            B. Practical Applications with Right Triangles
                            C. Law of Sines
                            D. Law of Cosines
                            E. Solving Problems using law of sines and law of Cosines
                            F. Practical Applications.
                        Go to Description    Go to top of Competencies    Go to top of Outline