Exploring Algebraic and Geometric Relationships Section 1.3 Students till be able to identify and prove relationships between pairs of angles among intersecting lines.

1.3.1 What is a relationship Theorem – proving a conjecture Go through 1-69 and 1-69, come up with definitions (descriptions) for the following and make sure you understand each of the problems associated with them Angle Pair Relationships Complementary Angles Supplementary Angles Straight Angles Linear Pair Vertical Angles Congruent Angles

Proofs of Vertical ANgles Investigation 1-70 and 1-71 Work through and solve 1-72

Area models of Products and Sums Using Algebra Tiles How did we do this in the previous section Length and width are expressions Area is the product of the expressions Perimeter is the sum Area model to help with multiplication (box method)

Homework Pg 82 1-75 through 1-80

1.3.2 and 1.3.3 What is the Relationship 2 Angle Pair Relationships with parallel lines and transversals Investigate 1-81 Investigate 1-93 Parallel Lines Transversal Corresponding Angles Alternate Interior Alternate Exterior Same Side Interior

Proving the Conjectures How could you prove angles are congruent or supplementary 1-94 and 1-95 and 1-96 Team Challenge 1-97

Homework Pg 93 1-87 through 1-92 Pg 102 1-98 through 1-102

1.3.4 What other Relationships can I find You will look at angle and side relationships and triangle inequality conjecture Investigate 1-104 and 1-105

Homework Pg 113 1-110 through 1-115