Secondary 2 Unit 1 Learning Log
Unit
1
Big Idea: Proving
Theorems about Lines
and Angles
Day
Title
1
1.1
2
1.2
Name ________________________
Enduring Understanding: I know that reasons in proofs include given information,
definitions, properties, postulates and theorems.
Concept
LEARNING TARGETS (What I should understand, know, and be able to do.)
Reasoning
Algebra and
Geometry
a)
Vertical
Angles
Theorem
a) I know how to name an angle.
Angles and
Parallel Lines
Cut by a
Transversal
Enduring Question: How can I prove that the lines in a parking lot
are parallel?
b)
I can use properties of equality and congruence to justify each step in algebra or
geometry.
I can write a two-column proof.
Example
Score
Assessments/Learning Activities
Given: 2x-4=20
Prove: x = 12
 WDYLT?
 Signed disclosure document
 Worksheet 1.1
Name angle in 4
ways:
 WDYLT?
 Worksheet 1.2
A
1
B
C
b) I can identify and use properties of straight angles, adjacent angles, linear pair
angles, vertical angles, supplementary angles, right angles, and complementary
angles to find angle measures.
D
135° x°
A
c) I can identify corresponding angles, alternate interior angles, alternate exterior
angles, same side interior angles, same side exterior angles.
B
C
2
5
6
8
1
3
7
Quiz 1a
3
1.3
4
d) I can prove the vertical angles theorem.
Write a two column
proof……
Score:
___
Possible: ___
What do I need help with?
What’s my plan?
What did I do?
Prove
Theorems
about angles
formed by two
Parallel lines
transversal
a) I understand the difference between a definition, property, postulate, and a
theorem.
Which of the
following needs to
be proved?
Definition,
postulate, property
or theorem.
 WDYLT?
 Worksheet 1.3
b) I can use theorems about special angle pairs formed by parallel lines to find angle
measures.
Find
c) I know that reasons in proofs include given information, definitions, properties,
postulates and theorems.
Prove Alt.Ext.
Angles Theorem
d) I can prove theorems about special angle pairs formed by parallel lines. (i.e. same
side interior and exterior, alt. interior and exterior angles)
4
1.4
Parallel and
Perpendicular
a) I can prove that lines are parallel using converse theorems.
Which pair of lines
is parallel? Justify
your answer.
b) I can use properties of parallel lines to discover other relationships

Perpendicular transversal theorem.

Two lines perpendicular to the same line,

Two lines are parallel to the same line theorem.
Given: m  1 = 90°
m  2 = 90°
Prove: r // s
1
r
s
Quiz 1b
5
Score:
___
Possible: ___
What do I need help with?
l
2
What’s my plan?
Review
U1 Test
 WDYLT?
 Worksheet 1.4
What did I do?

Score:
___
Possible: ___
What do I need help with?
What’s my plan?
What did I do?
Reasons used in proof include:
Vertical angles theorem
Linear pair angles theorem
Transitive property
Substitution property
Supplementary angles theorem
Complementary angles theorem
Theorems about parallel lines cut by a transversal
Day 1
Addition property
Subtraction property
Multiplication property
Division property
Substitution property
Day 2 and 3 all in context of parallel lines cut by a transversal
Vertical angles theorem
Linear pair angles theorem
Alternate interior angles theorem
Alternate exterior angles theorem
Same side interior angles theorem
Same side exterior angles theorem
Corresponding angles Postulate
Day 4
Converse Alternate interior angles theorem
Converse Alternate exterior angles theorem
Converse Same side interior angles theorem
Converse Same side exterior angles theorem
Converse Corresponding angles Postulate
𝑚∠1 𝑎𝑛𝑑 𝑚∠2