Difference between revisions of "MAT1163"

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==Essential Elements in Mathematics II==
 
==Essential Elements in Mathematics II==
  
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MAT 1163. Essential Elements in Mathematics II. (3-0) 3 Credit Hours. (TCCN = MATH 1351)
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[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.
 
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
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| Example || Example || [[Definition of Polygons]] || Example
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* Understand the development of geometric (mathematical) definitions through examples and non-examples
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* Build definitions for the terms: closed, simple, polygon, convex, and regular
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|-
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| Example || Example || [[Properties of Polygons (Sides, Angles and Diagonals)]] || Example
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|| 
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* Build, express, and justify a pattern for the diagonals of an n-gon by using geometric reasoning 
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* Use geometric reasoning to build and express the formula for the sum of interior angles of a polygon 
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* Use geometric reasoning to build and express the formula for the internal angles of a regular polygon
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|-
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| Example || Example || [[Lines & Angles]] || Example || Example
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| Example || Example || [[Transversal lines]] || Example || Example
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| Example || Example || [[Classifying Triangles]] || Example || Example
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| Example || Example || [[Triangle Inequality]] || Example || Example
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| Example || Example || [[Triangle Congruence]] || Example || Example
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| Example || Example || [[Triangles]] || Example || Example
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| Example || Example || [[Theorem of Right Triangles]] || Example || Example
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| Example || Example || [[Definitions and Hierarchy of Quadrilaterals ]] || Example
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* Explore relationships between and the consequences of given definitions of classes of quadrilaterals
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* Build and integrate visual representations with thinking about logical statements
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* Understand relationships between classes of quadrilaterals
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| Example || Example || [[Measurement (LINEAR)]] || Definition of multiplication (# groups x group size = total)
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* Describe measurement as an iteration of a constant unit
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* Develop an understanding of the Inverse relationship between size of unit and number of units needed to measure something
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| Example || Example || [[Measurement (LINEAR) – CONVERSION]] || Example || Convert between different units of length measurement
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| Example || Example || [[Measurement (AREA)]] || Example || Calculate areas on a grid using additive and subtractive approaches
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| Example || Example || [[Measurement (AREA) – CONVERSION]] || Example || Convert between different units of area measurement
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| Example || Example || [[Area of Polygons - Formulas]] || Example || Develop, relate, and justify area formulas for parallelograms, triangles, and trapezoids
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| Example || Example || [[Perimeter Area]] || Example
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* Calculate perimeters of non-standard objects with right angles by reasoning about missing lengths
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* Calculate perimeters of objects on a grid using the Pythagorean theorem
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* Understand the relation and distinguish between Perimeter and Area
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| Example || Example || [[Rigid Transformations]] || Example
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* 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 
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* Define congruence as a result of properties of rigid motions
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| Example || Example || [[Symmetry]] || Example || Identify rotation and reflection symmetry and use rigid motions to create figures with different types of symmetry
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| Example || Example || [[Similarity]] || Example
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* Determine whether two figures are similar and justify this determination by referring to angles and scale factor
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* If two figures are similar, determine/describe the correspondence between the two
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* Use proportionality and scale factors (instead of additive thinking) to determine measurement of similar figures
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| Example || Example || Example || Example || Example
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| Example || Example || Example || Example || Example
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| Example || Example || Example || Example || Example
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| Example || Example || Example || Example || Example
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| Example || Example || Example || Example || Example
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| Example || Example || Example || Example || Example
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Revision as of 19:37, 29 July 2020

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
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
Example Example Example Example Example
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