MAT1163

Essential Elements in Mathematics II

MAT 1163. Essential Elements in Mathematics II. (3-0) 3 Credit Hours. (TCCN = MATH 1351)

Prerequisite: MAT 1153. Algebra, statistics and probability; geometric shapes; measurement; coordinate and transformational geometry. May not be applied toward a major in mathematics. Generally offered: Fall, Spring, Summer. Course Fees: LRS1 $45; MFSM $30; STSI $21.

Date	Sections	Topics	Prerequisite Skills	Student learning outcomes
Example	Example	Definition of Polygons	Example	Understand the development of geometric (mathematical) definitions through examples and non-examples Build definitions for the terms: closed, simple, polygon, convex, and regular
Example	Example	Properties of Polygons (Sides, Angles and Diagonals)	Example	Build, express, and justify a pattern for the diagonals of an n-gon by using geometric reasoning Use geometric reasoning to build and express the formula for the sum of interior angles of a polygon Use geometric reasoning to build and express the formula for the internal angles of a regular polygon
Example	Example	Lines & Angles	Example	Example
Example	Example	Transversal lines	Example	Example
Example	Example	Classifying Triangles	Example	Example
Example	Example	Triangle Inequality	Example	Example
Example	Example	Triangle Congruence	Example	Example
Example	Example	Triangles	Example	Example
Example	Example	Theorem of Right Triangles	Example	Example
Example	Example	Definitions and Hierarchy of Quadrilaterals	Example	Explore relationships between and the consequences of given definitions of classes of quadrilaterals Build and integrate visual representations with thinking about logical statements Understand relationships between classes of quadrilaterals
Example	Example	Measurement (LINEAR)	Definition of multiplication (# groups x group size = total)	Describe measurement as an iteration of a constant unit Develop an understanding of the Inverse relationship between size of unit and number of units needed to measure something
Example	Example	Measurement (LINEAR) – CONVERSION	Example	Convert between different units of length measurement
Example	Example	Measurement (AREA)	Example	Calculate areas on a grid using additive and subtractive approaches
Example	Example	Measurement (AREA) – CONVERSION	Example	Convert between different units of area measurement
Example	Example	Area of Polygons - Formulas	Example	Develop, relate, and justify area formulas for parallelograms, triangles, and trapezoids
Example	Example	Perimeter Area	Example	Calculate perimeters of non-standard objects with right angles by reasoning about missing lengths Calculate perimeters of objects on a grid using the Pythagorean theorem Understand the relation and distinguish between Perimeter and Area
Example	Example	Rigid Transformations	Example	Define the three basic rigid motions and given the result of a transformation, identify a correct sequence of rigid motions that maps the pre-image to the image Define congruence as a result of properties of rigid motions
Example	Example	Symmetry	Example	Identify rotation and reflection symmetry and use rigid motions to create figures with different types of symmetry
Example	Example	Similarity	Example	Determine whether two figures are similar and justify this determination by referring to angles and scale factor If two figures are similar, determine/describe the correspondence between the two Use proportionality and scale factors (instead of additive thinking) to determine measurement of similar figures
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