COURSE OUTLINE

MIDLANDS TECHNICAL COLLEGE

MAT 251 Elementary Mathematics II

3.0 Credit Hours

COURSE DESCRIPTION: Course provides students with an understanding of informal geometry and basic concepts of algebra. [Note: This course transfer to USC-Columbia's College of Education - Department of Instructions and Teacher Education.]

TEXT: A Problem Solving Approach to Mathematics for Elementary School Teachers, Ninth Edition                                                                                                                                                                                          Billstein, Libeskind and Lott                                                                                                                                                            Pearson/Addison Wesley, 2007

PREREQUISITE:  MAT 110

EQUIPMENT:  A kit containing the following supplies - 

(1) School supplies such as pencils, pens, markers, small stapler, hole punch, erasers, scissors, stickers, etc.

(2) 3-ring binder and wide-ruled paper             

(3) Small zippered carrying case, preferably one that fit in the binder

(4) A roll of transparent tape or glue stick and a few ziploc-type bags of various sizes

(5) A ruler with both inch and centimeter markings, compass, and protractor

OTHER COURSE REQUIREMENTS:     Internet access is essential.

GRADING SCALE:                                                                                                                                                                                                  A   90 - 100        B    80 - 89        C    70 - 79        D    60 - 69        F    Below 60

 

MAT 251 Elementary Mathematics II

Class TOPIC SECTION
1 Introduction to the Course; NCTM Standards, Van-Hiele Levels of Geometric Understanding, Triangle Sorting Exercise; Analyzing two-dimensional geometric shapes - Level 0 to Level 1; Identify and sort shapes according to attributes 9.2
2 Analyzing three-dimensional geometric shapes - Level 0 to Level 1; Identify and sort shapes according to attributes; Construct three-dimensional objects using manipulatives; Lab activity 9-4 9.4
3 Constructing three-dimension geometric shapes - Level 2; Define and use attributes to construct three-dimensional shapes using nets; Regular polyhedra 9.4
4 Part 1: Euler's Formula 9.4
5 TEST 1  
Motion Geometry - Congruence via Translation 12.1
6 Motion Geometry - Congruence via translations and rotation using tracing paper and coordinate systems 12.1
7 Motion Geometry - Congruence via reflections and glide reflections using tracing paper and coordinate systems 12.2
8 Similarity via size transformations 12.3
9 Line and rotational geometry 12.4
10 Tessellation 12.5
11 TEST 2  
Escher Art 12.5
12 Linear Measure - nonstandard units such as marshmallows, paperclips, M&M's; the need for standards of measure Handouts
13 Standard linear measure in the English and metric systems, circles and arc length; area on geoboards, English and metric units of measure for area, converting units of measure, estimating area of irregular shapes 11.1, 11.2
14 Area of polygons and circles; how changes in one variable affect area 11.2
15 The Pythagorean Theorem 11.3
16 Surface area of prisms, cylinders, pyramids, cones and spheres 11.4
17 Special Activities  
18 Volumes of prisms, cylinders, pyramids, cones and spheres; how changes in one variable affect volume 11.5
19 Mass and temperature 11.5
20 Basic notations in Euclidean geometry - points, lines and planes 9.1
21 TEST 3  
Postulates, making and testing conjectures; angles 9.1
22 Parallel lines, transversals and angles; applications to angles in polygons 9.3
23 Congruence and basic Euclidean constructions; Level 3 thinking 10.1
24 Other congruence properties and their applications 10.2
25 Other Euclidean constructions 10.3
26 Similarity 10.4
27 Trigonometric Ratios and Similarity 10.5
28 TEST 4  
Lines in a Coordinate System 10.6
29 Lines a coordinate system 10.6
     
  Final Examination