MAT1163 - Revision history

Christopher.duffer: /* Essential Elements in Mathematics II */

2021-03-04T19:04:42Z

Essential Elements in Mathematics II

Christopher.duffer: added weeks, modules, and filled in gaps. STILL NEEDED are prerequisite skills

2021-03-04T19:02:00Z

added weeks, modules, and filled in gaps. STILL NEEDED are prerequisite skills

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Rylee.taylor: Filling out the course map for MAT 1163

2020-07-30T01:37:55Z

Filling out the course map for MAT 1163

Rylee.taylor: Adding header

2020-07-16T00:27:42Z

Adding header

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==Essential Elements in Mathematics II==

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

Prerequisite: [[MAT1153|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.

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 ! Date !! Sections !! Topics !! Prerequisite Skills !! Student learning outcomes
 |-
-| Weeks 1-2 || Module 1 || [[Definition of Polygons]] ||
+| Weeks 1-2 || Module 1 || [[Definition of Polygons]] ||      ||
 * Understand the development of geometric (mathematical) definitions through examples and non-examples
 * Build definitions for the terms: closed, simple, polygon, convex, and regular
 |-
-| Weeks 1-2 || Module 1 || [[Properties of Polygons (Sides, Angles and Diagonals)]] ||
+| Weeks 1-2 || Module 1 || [[Properties of Polygons (Sides, Angles and Diagonals)]] ||     ||
 * 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
 |-
-| Week 3 || Module 1 || [[Lines & Angles]] ||  ||
+| Week 3 || Module 1 || [[Lines & Angles]] ||     ||
 * Develop and use visual reasoning skills to decompose and identify angle measures based on a given a reference angle on a grid
 |-
-| Week 3 || Module 1 || [[Transversal lines]] ||  ||
+| Week 3 || Module 1 || [[Transversal lines]] ||     ||
 * Explore relationships between angles formed between parallel lines and transversals and solve problems using these relationships
 |-
-| Week 4 || Module 1 || [[Classifying Triangles]] || ||
+| Week 4 || Module 1 || [[Classifying Triangles]] ||     ||
 * Classify triangles by angles/sides and articulate relationships between classes
 * Create and use an ordered list to enumerate combinations of characteristics
 |-
-| Week 4 || Module 1 || [[Triangle Inequality]] || ||
+| Week 4 || Module 1 || [[Triangle Inequality]] ||   ||
 * Informally justify and be able to use the triangle inequality
 |-
-| Week 5 || Module 1 || [[Triangle Congruence]] || ||
+| Week 5 || Module 1 || [[Triangle Congruence]] ||    ||
 * Informally justify triangle congruence theorems by construction
 |-
-| Week 5 || Module 1 || [[Theorem of Right Triangles]] || ||
+| Week 5 || Module 1 || [[Theorem of Right Triangles]] ||    ||
 * Understand when and how to apply the Theorem of Right Triangles to calculate lengths
 * Use different models to informally justify the Theorem of Right Triangles
 |-
-| Week 6 || Module 1 || [[Definitions and Hierarchy of Quadrilaterals ]] || Example
+| Week 6 || Module 1 || [[Definitions and Hierarchy of Quadrilaterals ]] ||    ||
 * 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
 |-
-| Week 7 || Module 2 || [[Measurement (LINEAR)]] || Definition of multiplication (# groups x group size = total)
+| Week 7 || Module 2 || [[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
 |-
-| Week 7 || Module 2 || [[Measurement (LINEAR) – CONVERSION]] || ||
+| Week 7 || Module 2 || [[Measurement (LINEAR) – CONVERSION]] ||      ||
 * Convert between different units of length measurement
 |-
-| Week 8 || Module 2 || [[Measurement (AREA)]] ||  ||
+| Week 8 || Module 2 || [[Measurement (AREA)]] ||      ||
 * Calculate areas on a grid using additive and subtractive approaches
 |-
-| Week 8 || Module 2 || [[Measurement (AREA) – CONVERSION]] ||||
+| Week 8 || Module 2 || [[Measurement (AREA) – CONVERSION]] ||    ||
 * Convert between different units of area measurement
 |-
-| Week 9 || Module 2 || [[Area of Polygons - Formulas]] ||  ||
+| Week 9 || Module 2 || [[Area of Polygons - Formulas]] ||      ||
 * Develop, relate, and justify area formulas for parallelograms, triangles, and trapezoids
 |-
-| Week 9 || Module 2 || [[Perimeter Area]] || ||
+| Week 9 || Module 2 || [[Perimeter Area]] ||     ||
 * 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
 |-
-| Week 10 || Module 3 || [[Rigid Transformations]] || ||
+| Week 10 || Module 3 || [[Rigid Transformations]] ||     ||
 * 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
 |-
-| Week 10 || Module 3 || [[Symmetry]] ||  ||
+| Week 10 || Module 3 || [[Symmetry]] ||     ||
 * Identify rotation and reflection symmetry and use rigid motions to create figures with different types of symmetry
 |-
-| Weeks 11-12 || Module 3 || [[Similarity]] || ||
+| Weeks 11-12 || Module 3 || [[Similarity]] ||     ||
 * 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
 |-
-| Week 13 || Module 4 || [[Mathematical & Statistical Reasoning]] ||  ||
+| Week 13 || Module 4 || [[Mathematical & Statistical Reasoning]] ||     ||
 * Identify statistical and non-statistical questions
 |-
-| Week 13 || Module 4 || [[Display of Categorical Data]] ||  ||
+| Week 13 || Module 4 || [[Display of Categorical Data]] ||     ||
 * Given data, select a variety of appropriate displays
 * Identify and justify appropriate displays for a given type of data
 |-
-| Week 14 || Module 4 || [[Display of Numerical Data]] || ||
+| Week 14 || Module 4 || [[Display of Numerical Data]] ||     ||
 * select appropriate graphical and numerical methods and use those methods to analyze data
 * use appropriate tools for exploring (represent/ summarize/interpret) distributions including bar graphs, dot plots, stem & leaf plots, box-whisker plots, and measures of center
 * use sophisticated tools such as histograms, the IQR (interquartile range), mean absolute deviation, 5-number summaries, and boxplots for describing distributions, summarizing and comparing distributions, and for making inferences
 |-
-| Week 15 || Module 4 || [[Probability]] ||  ||
+| Week 15 || Module 4 || [[Probability]] ||     ||
 * Compare displays of empirical data with theoretical probabilities
 * Create and use an ordered list to enumerate combinations of characteristics

@@ Line 1: / Line 1: @@
 ==Essential Elements in Mathematics II==
-MAT 1163. Essential Elements in Mathematics II. (3-0) 3 Credit Hours. (TCCN = MATH 1351)
+[https://catalog.utsa.edu/search/?P=MAT%201163 MAT 1163. Essential Elements in Mathematics II]. (3-0) 3 Credit Hours. (TCCN = MATH 1351)
 Prerequisite: [[MAT1153|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.