Semester Exam

December 20

Exams cover Lessons 1-50 with the following emphasis

• Algebra - Lessons 2, 20-50, Investigations 3, 5
• Pre-Algebra - Lessons 4, 8, 13, 14, 20-50, Investigation 2

In class review has begun.
Review worksheets will be sent home on December 14.

For examples of Equations written in Standard Form (Ax + By = C)
see Standard Form

Lesson 18 Problem 8

Volume Word Problem

• Compare volumes of ten-pin ball (cm) to candlepin ball (inches).
• How much greater is ten-pin ball in inches cubed?

Kingfisher Trail

One lap on the Kingfisher trail is 880 yards, which is half a mile. It takes me 10 minutes to walk one lap.

• How many yards are in one mile?
• How long will it take me to walk three miles?

Send your answers to the questions above to me at ljw191970@gmail.com

Also

• How fast are you able to walk a lap?
• How many inches do you walk in one step?
• How many of your steps will it take to walk one lap?
• Write your own word problem about the Kingfisher trail.

Extra Help with Math

Check out these great tutorials from Khan Academy.  (Many topics available - Absolute value, Number Lines, Probability, and much more.)

• Algebra - khanacademy.org/math/algebra
• Pre-Algebra - khanacademy.org/math/arithmetic

Probability of an Event

Fun with Random Number Generators! (Investigation 1)

During Lab 1 and Investigation 1students learned about Theoretical Probability and Experimental Probability.
Experimental probability measures how likely an event will occur based on repeated trials. 
Experimental Probability = (number of times an event occurs) divided by (number of trials)

In the tech lab, students found Random number generators and were able to set minimum and maximums (lower and upper limits).
Our favorite sites were

• random.org
• mathgoodies.com

Students also learned how to generate random numbers using Excel.
They discovered the formula

• =RANDBETWEEN(1,12)
• displayed Whole Numbers by using the "Decrease Decimal" tool
• learned to propagate the formula from cell A1 to cell A50 by using the Fill Handle (cell's lower right corner)

btw How did you solve problem h page 55? Excel or website random number generator? And, what happens when you perform more simulations?  Were you that curious?

Submit your answers (and word problems) to me for publication.

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?