MCCCD Program Description

Geometry

Course: MAT054

First Term: 2015 Fall

Lecture 1 Credit(s) 1 Period(s) 1 Load
Subject Type: Academic
Load Formula: S- Standard

Description: Primary emphasis on conceptual understanding of and solving problems involving angles and geometric figures. Use of systems of measure, similarity, proportionality and the Pythagorean theorem.

MCCCD Official Course Competencies
1. Analyze, compare and classify two-dimensional geometric figures by their definition, including squares, rectangles, triangles and circles. (I) 2. Identify types of angles (right, acute, obtuse). (I) 3. Model, solve and interpret solutions to real world problems. (I-VI) 4. Compare alternative solution strategies. (I-VI) 5. Communicate process and results in written and verbal formats. (I-VI) 6. Measure lengths by expressing the length as a number of copies of the standard length unit. (II) 7. Measure areas by tiling a surface with unit squares. (II) 8. Make connections between the array model for multiplication and area by understanding area as a geometric representation of multiplication. (II) 9. Measure volumes by packing an object with unit cubes. (III) 10. Measure perimeter, circumference, area and volume with the ability to explain the use of any formulas. (III) 11. Use unit conversions, including conversions from two-dimensions to three-dimensions. (IV) 12. Evaluate similar figures by using the definition of similarity based on scale factor. (V) 13. Utilize the definition of proportionality. (V) 14. Evaluate proportions relating to geometric figures. Students will explain each quantity and operation and the use of the needed formula. (V) 15. Evaluate arithmetic expressions involving square roots, radical and irrational numbers. (VI) 16. Evaluate situations using the Pythagorean Theorem. (VI)
MCCCD Official Course Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.

MCCCD Official Course Outline
I. Angles and Geometric Figures by Their Definitions A. Triangles, Quadrilaterals, Circles B. Angle Measure II. Measure as a Multiplicative Comparison A. One-dimensional (length) B. Two-dimensional (area) C. Three-dimensional (volume) III. Measure Perimeter, Circumference, Area and Volume IV. Systems of measure A. Converting 1-dimensional measures B. Converting 2-dimensional measures C. Converting 3-dimensional measures V. Similarity and Proportionality VI. Square Roots, Radicals and Irrational Numbers A. Definitions B. Pythagorean Theorem C. Use and interpret the calculations in the Pythagorean Theorem

MCCCD Governing Board Approval Date: June 24, 2014

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.