(assignment sheet 2015)

```Unit 2 – Intro to Geometry
Pre-AP Geometry – Schwarz
Before Learning
______
______
______
______
______
______
______
______
Date
Wed
9/9
Thursday
9/10
Friday
9/11
Monday
9/14
Tuesday
9/15
Wed.
9/16
Thursday
9/17
Friday 9/18
Monday
9/21
Objective
After Learning
Use logical arguments. Conditional and Converses Statements. (book 2.2)
Determine the truth values of inverses and contrapositives. (book 2.2) LTF LR
Use logical reasoning skills (inductive and deductive) to make and test conjectures.
Formulate Counterexamples. (book 2.1 and 2.3)
Use postulates involving points, lines and planes. (book 2.4)
Use algebraic properties in logical arguments. (+. -. *, /, substitution, distributive,
reflexive, symmetric, and transitive) (book 2.5)
Prove geometric theorems. (book 2.6)
Learn and apply properties of special angle pairs. (book 2.7)
Topics Covered
Present IF/THEN posters
Converse, Inverse,
Contrapositive, Bi-conditional
Truth Tables
Use deductive reasoning to
form a logical argument.
Law of Syllogism and Law of
Det.
The 7 important postulates
Properties from Algebra: +,
-, *, /, substitution,
distributive, Reflexive,
Symmetric, Transitive
Proofs and Angle Pair
Relationships
Proofs and Angle Pair
Relationships
Review
UNIT 2 TEST
Assignment
Bi-conditional
Negation
Counter-example
Perpendicular Lines
______
______
Homework – from
notes
HW 2.1 pg 82 8-24 all
____/____
HW 2.2 pg 90 4-13,
16-19, 30-35
____/____
HW 2.3 pg 99 4-24
Even, 46, 48, 50, 56
____/____
Class activity
HW 2.4 pg 108 1-5 all,
6-20 even, 21-30
____/____
HW 2.5 pg 116 3-12,
16, 21-24, 32-34
HW 2.6 pg 128-129 834 even, 37, 38, 49-53
TBD
Notebooks Due
Unit 2 Vocabulary
Conditional
Converse
Inverse
Contrapositive
_______
_______
_______
_______
_______
_______
Law of Syllogism
Law of Detachment
Postulate
____/____
____/____
____/____
Unit 2 – Intro to Geometry
Pre-AP Geometry – Schwarz
Before Learning
______
______
______
______
______
______
______
______
Date
Wed
9/9
Thursday
9/10
Friday
9/11
Monday
9/14
Tuesday
9/15
Wed.
9/16
Thursday
9/17
Friday 9/18
Monday
9/21
Objective
After Learning
_______
_______
_______
_______
_______
_______
Use logical arguments. Conditional and Converses Statements. (book 2.2)
Determine the truth values of inverses and contrapositives. (book 2.2) LTF LR
Use logical reasoning skills (inductive and deductive) to make and test conjectures.
Formulate Counterexamples. (book 2.1 and 2.3)
Use postulates involving points, lines and planes. (book 2.4)
Use algebraic properties in logical arguments. (+. -. *, /, substitution, distributive,
reflexive, symmetric, and transitive) (book 2.5)
Prove geometric theorems. (book 2.6)
______
______
Learn and apply properties of special angle pairs. (book 2.7)
Topics Covered
Present IF/THEN posters
Converse, Inverse,
Contrapositive, Bi-conditional
Truth Tables
Use deductive reasoning to
form a logical argument.
Law of Syllogism and Law of
Det.
The 7 important postulates
Properties from Algebra: +,
-, *, /, substitution,
distributive, Reflexive,
Symmetric, Transitive
Proofs and Angle Pair
Relationships
Proofs and Angle Pair
Relationships
Review
UNIT 2 TEST
Assignment
Homework – from
notes
HW 2.1 pg 82 8-24 all
____/____
HW 2.2 pg 90 4-13,
16-19, 30-35
____/____
HW 2.3 pg 99 4-24
Even, 46, 48, 50, 56
____/____
Class activity
HW 2.4 pg 108 1-5 all,
6-20 even, 21-30
____/____
HW 2.5 pg 116 3-12,
16, 21-24, 32-34
HW 2.6 pg 128-129 834 even, 37, 38, 49-53
TBD
____/____
____/____
____/____
Notebooks Due
Unit 2 Vocabulary
Conditional
Converse
Inverse
Contrapositive
Bi-conditional
Negation
Counter-example
Perpendicular Lines
Law of Syllogism
Revised 6/29/2016
Law of Detachment
Postulate
Postulates
Postulate 5
Postulate 6
Postulate 7
Postulate 8
Postulate 9
Postulate 10
Postulate 11
Through any two points there exists exactly one line.
A line contains at least two points.
If two lines intersect, then their intersection is exactly one point
Through any three non-collinear points there exists exactly one
plane.
A plane contains at least three non-collinear points.
If two points lie in a plane, there the line containing them lies in the
plane.
If two planes intersect, then their intersection is a line.
Properties from Algebra
If a =
Subtraction Property
If a =
Multiplication Property If a =
Division Property
If a =
Substitution Property
Distributive Property
b, then a + c = b + c
b, then a – c = b – c
b, then ac = bc
a b
 .
c c
If a = b, then a can be substituted for b in any equation or expression.
a(b + c) = ab + ac, where a, b, and c are real numbers.
b and c ≠ 0, then
Properties of Equalities
Reflexive Property
Real
Numbers
Segment
Length
Angle
Measures
Symmetric Property
For any real number a, a = a.
For any real numbers a and b, if
a = b, then b = a.
For any segment AB,
AB = AB.
For any segments AB and CD, if
AB = CD, then CD = AB.
For any angle A, mA =
mA.
For any angles A and B, if
mA = mB, then mB =
mA.
Transitive Property
For any real numbers a, b,
and c, if a = b and b = c,
then a = c.
For any segments AB,
CD,and EF, if AB = CD, and
CD = EF, then AB = EF.
For any angles A, B, &amp; C if
mA = mB and mB =
mC, then mA = mC.
Revised 6/29/2016
```