Unit 3

Parallel and Perpendicular Lines

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Reasoning & Proof

ESSENTIAL QUESTION - How can you make a conjecture and prove that it is true?

  • Students will observe patterns leading to making conjectures

  • Students will solve equations giving their reasons for solving each step

  • Students will prove geometric relationships using given information, definitions, properties, postulates and theorems

Measurement

Coordinate Geometry

Lesson/Objective Supplemental Lessons On-line Practice Homework
3-1  Lines and Angles

Objectives:  To identify relationships between objects in space.

To identify angles formed by two lines and a transversal.

ESSENTIAL UNDERSTANDING: Not all lines and not all planes intersect.
 


VIDEO TUTORS

Identifying parallel or skew lines

Identifying parallel planes


LESSON QUIZ

hw #3-1 Due Mon Oct 15
pg 143-146
#1-35 ODD, #37-42 ALL, #49-59 ODD... then 

Read section 3-2
pg 152-53 #1-9 ALL

 

3-2  Properties of Parallel Lines

Objectives:  To prove theorems about parallel lines.

ESSENTIAL UNDERSTANDING: To use properties of parallel lines to find angle measures
 


VIDEO TUTORS

Using the properties of parallel lines in a two-column proof

Using the properties of parallel lines to find measures of angles


LESSON QUIZ

DOUBLE ASSIGNMENT!!
                 YAY!!

hw #3-2 Due Weds Oct 17
pg 152-55 #11-27 Odd, #28 

hw #3-3 Due Weds Oct 17
Read section 3-3
pg 160-63 #1-6 All, #7-33 Odd

3-3  Proving Lines Parallel

Objective:  To determine whether two lines are parallel

ESSENTIAL UNDERSTANDING: You can use certain angle pairs to determine whether lines are parallel 
 


VIDEO TUTORS

Proving lines are parallel

Using parallel lines

 


LESSON QUIZ
3-4 Parallel and Perpendicular Lines

Objective: To relate parallel and perpendicular lines

ESSENTIAL UNDERSTANDING: You can use the relationships of two lines to a third line to decide whether the two lines are parallel or perpendicular to each other
 


VIDEO TUTORS

Relating parallel and perpendicular lines


LESSON QUIZ
hw #3-4 Due Fri Oct 19
Read section 3-4
pg 167-68 #1-6 All, #7-21 Odd

hw #3-5: Due Tues Oct 23
Read section 3-5
pg 175-77 #1-8 All, #9-39 Mult of 3

pg 181 Mid-Chapter Quiz would be a nice hw option :)




3-5  Parallel Lines and Triangles

Objective: To use parallel lines to prove a theorem about triangles. To find measures of angles of triangles.

ESSENTIAL UNDERSTANDING: The sum of the angle measures of triangles is always the same.
 


VIDEO TUTORS

Applying the Triangle Angle-Sum Theorem

Applying the Triangle Exterior Angle Theorem


LESSON QUIZ

UNIT 3 QUIZ on Sections 3-1 thru 3-5: 

3-6  Constructing Parallel and Perpendicular Lines

Objective: To construct parallel and perpendicular lines

ESSENTIAL UNDERSTANDING: In addition to knotted rope, you can also use a straightedge and compass to construct parallel and perpendicular lines
 


VIDEO TUTORS

Constructing a perpendicular line at a point on a line

Constructing a perpendicular line from a point to a line
 


LESSON QUIZ
hw #3-6 and Quiz Review
Due Tues Oct 23
pg 186-88
#1-6 All
#7-17 Odd,23,27,29
3-7  Equations of Lines in the Coordinate Plane

Objective: To graph and write linear equations. All aboard the Algebra Roller-Coaster... woo-hoo!!

ESSENTIAL UNDERSTANDING: A line can be graphed and its equation written when certain facts about the line, such as its slope and a point on the line, are known.

DUH! Point-Slope Form!!
 


VIDEO TUTORS

Graphing a linear equation using slope-intercept form

Writing an equation in point-slope form using a point and the slope

Writing an equation in point-slope form from a graph


LESSON QUIZ
hw #3-7 & 3-8
Due Thurs Oct 25

hw #3-7 
pg 194-96
#1-9 ALL, 11, 15, 21,23,27,29,31,35,38-43 ALL

hw #3-8
pg 201-203
2,4,6,7-17 ODD, 21,23,27

3-8  Slopes of Parallel and Perpendicular Lines

Objective: To relate slope to parallel and perpendicular lines (you were paying attention in Algebra class, yes?).

ESSENTIAL UNDERSTANDING: Comparing the slopes of two lines can show whether the lines are parallel or perpendicular.
 


VIDEO TUTORS

Determining whether lines are parallel

Writing equations of parallel lines

Determining whether lines are perpendicular

Writing equations of perpendicular lines
 


LESSON QUIZ
UNIT 3 REVIEW      
UNIT 3 TEST: