Algebra Week of 08/27/2012

Lessons - Homework each day (Practice for Lesson)

• 08/27 Lesson 6 - Subtracting Real Numbers
• 08/28 Lesson 7 - Simplifying and Comparing Expressions w Symbols of Inclusion
• 08/29 Lesson 8 - Using Unit Analysis to Convert Measures
• 08/30 Lesson 9 - Evaluating and Comparing Algebraic Expressions
• 08/31 Lesson 10 - Adding and Subtracting Real Numbers

Solving Word Problems

What type of word problems are we solving (what's the plot)?

• Combining
• Separating
• Comparing

Equations to use

• s + m = t
• s - a = l
• g - l = d
• l - e = d
• n x g = t

Problem Solving Strategy

• Understand
• What info are we given?
• What are we asked to do?
• Plan
• What problem-solving strategy should we use
• Equation, diagram. etc.
• Solve
• Work the plan
• Do the math
• Check
• Check for reasonable answer
• Double check math

Real Numbers

Algebra - Lesson 1 - Classifying Real Numbers
(08/20/12)



Real Numbers

Subsets of Real Numbers

• Natural Numbers - numbers to count things {1,2,3,4,...}
• Whole Numbers - natural numbers and 0{0,1,2,3,...}
• Integers - whole numbers and opposites of natural numbers {...,-2.-1,0,1,2,...}
• Rational Numbers - numbers that can be written as fraction or quotient a/b (a and b are integers, b not = 0)
• Irrational Numbers - numbers that can't be written as a/ b
• Real Numbers - rational and irrational numbers

Vocab

• Venn Diagram - shows relationship between sets (see image above)
• Set - collection of objects
• Empty Set (Null)
• Finite Set
• Infinite Set
• Intersection of Sets
• Union of Sets
• Closure - operation on any 2 numbers of a set is included in that set - Example - see set B 5+10=15 is included in set B, but 10+15=25 is not included, therefore, Set B is not closed
• Counter Example - proves a statement false