Download Lesson Plan: Geometry: Parallel Lines and

Ke n t u c k y Co n t i n u o u s In s t r u c t i o n a l Improvement Te c h n o l o g y System
Materials Bank
Geometry: Parallel Lines and Transversals (Chapter 3)
Lesson: Mathematics , Grade(s) 10
Help students think about ways parallels and transversals are practically applied and seen in everyday constructions and landscapres.
Duration: 3 Weeks
Lesson
Lesson Plan
Lesson 1 (2 days)~Parallel Lines
Overview:This lesson defines parallel, skew, and coplanar lines and explains how to distinguish parallel and skew lines.
Objective(s): Students will: identify parallel lines.
use symbols to describe pairs of lines.
Automaticity (10 min/day)
Direct Instruction (15­20 min/day)
Independent Learning (15­20 min/day)
Lesson 2 (2 days)~ Transversals
Overview: This lesson defines transversals and discusses the angles that are formed by a transversal and the lines it
intersects.
Objective(s): Students will: identify exterior, interior, corresponding, alternate interior, and supplementary angles.
use a protractor to measure and classify angles.
Automaticity (10 min/per day)
Direct Instruction (15­20 min/day)
Independent Learning (15­20 min/day)
Lesson 3 (2 days)~Theorems About Parallel Lines
Overview: This lesson illustrates how to use theorems, postulates, and definitions to support statements in a proof and
to solve problems.
Objective(s): Students will be able to: use theorems and definitions to find the measures of angles.
use theorems and definitions to write a formal proof.
Automaticity (15­20 min/day)
Direct Instruction (15­20 min/day)
For additional instructional materials in Classrooms, visit https://ciits.kyschools.us/GreenupCounty
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Independent Learning (15­20 min/day)
Lesson 4 (2 days)~Constructions and Problem Solving
Overview: This lesson explains how to use theorems abour parallel lines to develop additional information and to
construct parallel lines.
Objectives(s): Students will: use the converse of a theorem to construct parallel lines.
use theorems to find the measures of angles formed by parallel lines and transversals.
Automaticity (10 min/day)
Direct Instruction (15­20 min/day)
Independent Learning (15­20 min/day)
Lesson 5 (2 days)~Quadrilaterals and Parallels
Overview: This lesson defines various quadrilaterals and parallelograms and discuss their characteristics as they relate
to parallel lines.
Objectives(s): Students will: learn about the characteristics of parallelograms.
use knowledge of the characteristics of parallelograms to solve problems. Automaticity (10 min/day)
Direct Instruction (15­20 min/day)
Independent Learning (15­20 min/day)
Lesson 6 (2 days)~Proving Lines Parallel
Overview: This lesson explores how to construct parallel lines using theorems about angles formed by transversals and
how to determine if two lines are parallel.
Objectives(s): Students will: construct parallel lines.
use converses of theorems and postulates to determine if lines are parallel.
Automaticity (10 min/day)
Direct Instruction (15­20 min/day)
Independent Learning (15­20 min/day)
Unit Review (1 day) 40 min.
Unit Exam (1 day) 50 min.
For additional instructional materials in Classrooms, visit https://ciits.kyschools.us/GreenupCounty
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Ke n t u c k y Co n t i n u o u s In s t r u c t i o n a l Improvement Te c h n o l o g y System
Materials Bank
Standards Covered
High School - Conceptual Category 5 - Geometry
5G1-CO: C o n g r u e n c e
G1-CO.C: P r o v e g e o m e t r i c t h e o r e m s .
G-CO.09: P r o v e t h e o r e m s a b o u t l i n e s a n d a n g l e s . T h e o r e m s i n c l u d e : v e r t i c a l a n g l e s a r e c o n g r u e n t ; w h e n a t r a n s v e r s a l c r o s s e s
parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector
of a line segment are exactly those equidistant from the segment’s endpoints.
G-CO.11: P r o v e t h e o r e m s a b o u t p a r a l l e l o g r a m s . T h e o r e m s i n c l u d e : o p p o s i t e s i d e s a r e c o n g r u e n t , o p p o s i t e a n g l e s a r e c o n g r u e n t , t h e
diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
Additional Properties
Author: Tucker, Stefanie
Publisher: Kentucky Continuous Instructional Improvement Technology System
Cost/Fee: No
Restricted Use: No
Rights:
Keywords:
Created by: Tucker, Stefanie (7/24/2013 7:20:00 PM)
Last modified by: Tucker, Stefanie (7/24/2013 7:51:00 PM)
Other revisions of this resource:
For additional instructional materials in Classrooms, visit https://ciits.kyschools.us/GreenupCounty
Generated 7/24/2013
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