Basic Geometry 3
Learning Plan 1
Geometric Terminology and Symbols

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Overview
Title Geometric Terminology and Symbols
Developer(s) Mike Christoffel
Date 9/1/1999

Purpose
Learn and use basic geometric terms and symbols.

Prerequisites
o Basic math skills. Ability to add, subtract, multiply, and divide fractions, decimals, and percents.

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Target Learning Outcomes

Target Competency
A. Demonstrate use of geometric terminology and symbols.
Linked External Standards
o Develop effective oral and written presentations employing correct mathematical terminology, notation, symbols, and conventions for mathematical arguments and display of data.

Performance Standards
Conditions - Competence will be demonstrated:
a. in math class/lab, workplace, home and other real-life situations.
b. on a written or computer-based lesson worksheet or quiz.
c. orally or written.
d. individually or collaboratively.
e. with or without a calculator.


Criteria - Performance will be satisfactory when:
a. learner identifies undefined terms: point, line, and plane
b. learner defines basic geometric terms
c. learner identifies geometric symbols
d. learner applies appropriate terms and symbols

Learning Objectives
This learning plan addresses the following learning objectives to help you master the competency:
a. Identify undefined terms, definitions, axioms, and theorems.
b. Define geometric terms and properties.
c. Apply appropriate terms and symbols.

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Learning Activities
_____1.
LISTEN to guest speaker.

_____2.
READ "Geometry Terms and Symbols" handout sheet.

_____3.
PARTICIPATE in large/small group activities.

_____4.
READ textbook.

_____5.
SOLVE problems.

_____6.
SOLVE program-specific problems.

_____7.
USE computer software.

_____8.
USE models.

_____9.
COMPLETE individual activities.

_____10.
COMPLETE worksheets.

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Assessment Activities
_____1.
Submit GEOMETRIC TERMINOLOGY Assessment Task to your facilitaor for feedback.

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Learning Materials
Newton Hawley and Patrick Suppes . Key to Geometry . Publisher: . Year: 1979 . Media Type: workbook . Length: 55 . Price: . Location: . Description: .
Basic Geometry 3
Learning Plan 2
Geometric Logical System

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Overview
Title Geometric Logical System
Developer(s) Michael Christoffel
Date 11/1/2001

Purpose
Use mathematical reasoning with geometry.

Prerequisites
o Basic math skills. Ability to add, subtract, multiply, and divide fractions, decimals, and percents.

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Target Learning Outcomes

Target Competency
D. Determine the measures of angles formed by transversals.
Linked External Standards
o Use geometric concepts, relationships and procedures to interpret, represent, and solve problems.

Performance Standards
Competence will be demonstrated:
a. in a written assignment.
b. on a diagram.


Criteria - Performance will be satisfactory when:
a. you calculate the measures of the angles formed by a transversal and two parallel lines
b. you name alternate interior and exterior angles
c. you name corresponding angles

Learning Objectives
This learning plan addresses the following learning objectives to help you master the competency:
a. Identify the angles formed by a transversal and two parallel lines.
b. Compute the measures of the angles formed by a transversal and two parallel lines.

Target Competency
E. Write mathematical arguments that support conclusions.
Linked External Standards
o Organize work and present mathematical procedures and results clearly, systematically, succinctly, and correctly.
o Develop effective oral and written presentations employing correct mathematical terminology, notation, symbols, and conventions for mathematical arguments and display of data.

Performance Standards
Conditions - Competence will be demonstrated:
a. by writing mathematical arguments that support conclusions.
b. in math class/lab, workplace, home and other real-life situations.
c. on a written or computer-based lesson worksheet or quiz.


Criteria - Performance will be satisfactory when:
a. learner writes mathematical arguments that support conclusions.
b. learner identifies geometric axioms such as transitivity and reflexivity
c. learner recognizes the relationship among undefined terms, definitions, axioms, and theorems
d. learner observes a proof of a basic theorem

Learning Objectives
This learning plan addresses the following learning objectives to help you master the competency:
a. Apply mathematical reasoning.

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Learning Activities
_____1.
USE computer software.

_____2.
READ text.

_____3.
COMPLETE worksheets.

_____4.
SOLVE problems.

_____5.
PARTICIPATE in large/small group activities.

_____6.
COMPLETE individual activities.

_____7.
LISTEN to guest speaker.

_____8.
TAKE a field trip.

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Assessment Activities
_____1.
TAKE objective test with a paper and pencil, orally or with a computer.

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Basic Geometry 3
Learning Plan 3
Estimation Strategies

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Overview
Title Estimation Strategies
Developer(s) Mike Chistoffel
Date 11/8/2095

Purpose

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Target Learning Outcomes

Target Competency
B. Demonstrate the use of estimation strategies.

Performance Standards
Conditions - Competence will be demonstrated:
a. in math class/lab, workplace, home and other real-life situations.


Criteria - Performance will be satisfactory when:
a. you round off numbers to the nearest whole number, tenth, and hundredth

Learning Objectives
This learning plan addresses the following learning objectives to help you master the competency:
a. Use estimation to check reasonableness of answer.

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Learning Activities
_____1.
USE computer software.

_____2.
READ textbooks.

_____3.
COMPLETE worksheets.

_____4.
SOLVE problems.

_____5.
VIEW videos.

_____6.
ATTEND lecture/discussion/demonstration.

_____7.
PARTICIPATE in large/small group activities.