November 13, 2013
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The document provides an overview of topics covered in a math class, including: 1) Warm-up exercises on solving equations and evaluating expressions. 2) Properties of numbers, specifically equality properties. 3) An introduction to algebraic proofs using properties like distributive, addition/subtraction, and substitution to prove relationships. 4) Examples of two-column algebraic proofs showing the steps and properties used.
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The document outlines a class agenda that includes reviewing properties of equality, introducing algebraic proofs, and working on class work and warm-up exercises involving solving equations, using properties of equality, and writing two-column proofs. Examples are provided of using properties like distribution, addition, subtraction, and substitution to solve equations and prove statements algebraically.
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2) The student needs to complete problems 2-4 and 2-5 from their math textbook and write topics to cover on Khan Academy this Saturday.
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I am Simon M. I am a Stochastic Processes Assignment Expert at statisticshomeworkhelper.com. I hold a Ph.D. in Stochastic Processes, from Texas, USA. I have been helping students with their homework for the past 7 years. I solve assignments related to Stochastic Processes. Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com. You can also call on +1 678 648 4277 for any assistance with Stochastic Processes Assignments.
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Aug 17, 2016
The document outlines the daily routine and learning process for a math class. It includes:
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November 13, 2013
- 1. Wednesday, November 13, 2012 Today: Warm-Up Reminder: Khan & Alt. Khan More Properties of Numbers: (Equality Properties) Introduction to Algebraic Proofs Class Work
- 2. Warm-Up: 2. Solve for z: 6xy - z = -8 10 1. Solve for x: 6xy - z = -8 10 3. 4•(- 2) + (4 - 6) + 23 15 - 3•6 + 23 - 3 5. - 𝟏 x 𝟐 4. 8 + 𝟑 𝟓 𝟑 𝟐 𝟓 𝟔 6. + +4=-x+ x 7. If 𝟐 x 𝟑 𝟐 x 𝟓 = 𝒙 𝟒𝟓 = 18 , then x = ?
- 3. Properties, Continued: Using a, b and c, write the Distributive Property definition.
- 6. 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
- 7. ALGEBRAIC PROOFS Proof: An argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true. Algebraic proofs use properties to prove relationships. Reflexive, Symmetric, Transitive, Addition & Subtraction, Multiplication & Division, Substitution, and Distributive Properties A group of algebraic steps used to solve problems form a deductive argument.
- 8. Example 1: Solve 3(x – 2) = 42 Algebraic Steps 3(x – 2) = 42 3x – 6 = 42 3x – 6 + 6 = 42 + 6 3x = 48 3x/3 = 48/3 X = 16 Properties Given Distributive Property Addition Property Substitution Property Division Property Substitution Property
- 9. Example 2: If 3(x – 2) = 3, then x = 3 Statements Reasons 3(x – 2) = 3 Given 3x – 6 = 3 Distributive property 3x – 6 + 6 = 3 + 6 Addition property 3x = 9 Substitution property 3x/3 = 9/3 Division Property X=3 Substitution property
- 10. Last Example: