Coordinate Plane

Fun with Number 12! (Investigation 1)

Here's my "Dot-to-Dot."  Don't forget to "lift your pencil" between shapes. (And, don't forget to label your x-axis and y-axis.)

btw - My Dot-to-Dot drawing is in which quadrants? (ec)

Draw my shape, using the (x,y) coordinates below. 

• Draw starting in quadrant II at (-4,5), (-6,5), (-6,0), (-4,0), (-4,1), (-5,1),  (-5,4), (-4,4), (-4,5)
• Lift pencil 
• Draw starting at (-2,4), (-3,4), (-3,-1), (-1,-1), (-1,0), (-2,0), (-2,4)
• Lift pencil
• Draw starting at (2,5), (0,5), (0,2), (1,2), (1,1), (0,1), (0,0), (2,0), (2,3), (1,3), (1,4), (2,4), (2,5)

What color would this shape be if the drawing were shaded hex value #191970? What is the corresponding RGB value and what does RGB mean?

Email your answers to me and submit your Dot-to-Dot Coordinates for publication!

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

No Names

That is....

No Real names, just Real numbers!
All word problems presented include ficticious names to protect the identity and safety of all students participating, collaborating, and engaging in this effort to USE (learn) more Math!

btw - What is a REAL number?