Download presentation

1
Bellringer

2
Algebraic Proof Chapter 2-6

4
**Algebraic Proof Algebraic proofs use properties to prove relationships**

Reflexive, Symmetric, Transitive, Addition and Subtraction, Multiplication and Division, Substitution, and Distributive Property A group of algebraic steps used to solve problems form a deductive argument.

5
Algebraic Properties

7
**Example Solve 3(x – 2) = 42 Algebraic Steps Properties**

3(x – 2) = Given 3x – 6 = Distributive Property 3x – = Addition Property 3x = Substitution Property 3x/3 = 48/ Division Property X = Substitution Property

8
Two column proof A two-column proof, or formal proof contains statements and reasons organized in two columns. In a two column proof each step is called a statement and the properties that justify each step are called reasons

9
**Example If 3(x – 2) = 3, then x = 3 Statements Reasons**

3(x – 2) = Given 3x – 6 = Distributive property 3x – = Addition property 3x = Substitution property 3x/3 = 9/ Division Property X = Substitution property

11
Geometry proof

12
**Example Given: m 2 = 60 1 is congruent to 2 Prove m 1 = 60**

Statement Reasons m 2 = Given M 2 = m Definition of congruence 60 = m Substitution M 1 = Symmetric Property

14
You Do

Similar presentations

OK

BIG IDEA: Reasoning and Proof ESSENTIAL UNDERSTANDINGS: Logical reasoning from one step to another is essential in building a proof. Logical reasoning.

BIG IDEA: Reasoning and Proof ESSENTIAL UNDERSTANDINGS: Logical reasoning from one step to another is essential in building a proof. Logical reasoning.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on power system stability pdf Free ppt on stock market Ppt on eddy current brakes ppt Ppt on natural resources and wildlife Ppt on articles of association california Ppt on active directory 2008 Ppt on content addressable memory design Ppt on basic proportionality theorem for class 10 Ppt on dc motor for class 10 Ppt on metro bridge construction