Calculation Nation

Friday, May 11, 2012

POW for Week of 14 MAY


Problem #33

Recently, the duplex on our school printer that we have had since 2005 broke.  That means that it cannot print on two sides automatically anymore.  We cannot fix it without getting a new printer.  The cost of a new printer is $3,187. The cost of paper is $43.29 for 5000 sheets. This year we averaged 1443 pages per day. If we are printing more pages because we can't print double sided (let's say 1.75 times more) how long will it take for the cost of extra paper to equal the cost of a new printer?
This data will actually help us decide whether or not we buy the new printer now or later. 

WOS for Week of 14 MAY


8th Grade Algebra                                                                   Week of 14 MAY 2012         
Objectives:     VERB: SIMPLIFY SOLVE GRAPH   NOUN: EXPRESSIONS EQUATIONS FUNCTIONS
Big Question:  Can you explain direct vs. indirect variation?  What have you learned this year?
Typical daily schedule of class:
1.  1st Things 1st                                                                                                               2.  Quiz               
3.  HW discussion                                                                                                          4.  Prayer                                              
5.  Lesson                                                                                                                        6.  Break               
7.  Mental minutes                                                                                                        8.  Closing

Lesson Objective
Key points
Assignment (due next class unless otherwise noted)
Mon
What
+SWAT model inverse variation graphically
How
Graphing calculators
A fraction that has a denominator of 0 has no value; it is undefined.

Graphically, that is represented as an asymptote. 
POW (due Fri)
Contact me 2x (due Fri)
Have WOS signed
Worksheet
Tue
What
+SWAT model inverse variation as an equation
How
Notes
To write an inverse variation equation
 you need to find the constant of variation, a.

POW (due Fri)
Contact me 2x (due Fri)
Pg. 769 #27,35-48, 54-56, 62, 69-74

Wed
 What
+SWAT begin preparation for Final
How
Individual meetings with students; Khan Academy
We may have final NWEA testing this day.

Final is Thursday 24 MAY
POW (due Fri)
Contact me 2x (due Fri)
Progress report signed
Pg. 944 #1-24
Thu
What
+SWAT continue preparation for Final
How
Individual meetings with students; Khan Academy
We may have final NWEA testing this day.

Final is Thursday 24 MAY
POW (due Fri)
Contact me 2x (due Fri)
Pg. 945 #7-12,18-24,33-40
Fri
What
+SWAT continue preparation for Final
How
Individual meetings with students; Khan Academy
Final is Thursday 24 MAY
Checksheet signed
Contact me 2x (due Fri)
Pg. 946 #1-66 odd


What is expected on homework:

Homework Effort (30% of grade)
Homework content (5% of grade)
A+ homework has each of the following:
·         At least two sides of a page
·         Neat (write on lines, problems in order, use ruler)
·         Show work
·         Write problem out (except word problems)
·         For word problems, draw picture, label answer
·         Follow directions (try every problem assigned)
·         A – mastery of content
·         B – understand content with some misunderstandings
·         C – understand some content, but more misunderstandings
·         F – do not understand content

Vocabulary:  

Inverse variation – as the input increases, the output decreases, but does not necessarily ever reach zero

Hyperbola – the shape created by the graph of an inverse variation function

Asymptotes – the imaginary lines that the graph of an inverse variation function approaches, but never intersects  

Don’t forget:

Radical, Radicand, Quadratic, Hypotenuse; Legs, Midpoint



Life Lessons:

·         If you can, get rid of the most difficult obstacle first.  But remember, sometimes you have to get your desk ready before you do anything.  Clear out the radical, but make sure it is isolated first.

·         Sometimes you need to know your goal, analyze the information in front of you, and make a decision about your path towards that goal, which may include multiple options.

·         Paying attention to details can make or break a task; making a problem seem impossible when it is not at all.  Dropping a negative can make a simple two solution quadratic look un-solve-able.

·         If information you need is not given, you need to go get it.

·         Take a look again!     You don’t think that polynomial is factorable?  Did you try difference of squares?

·         Absolute value teaches us that sometimes we have to keep our mind open to two possibilities.

·         Do not deviate from the straight and narrow path.

·         Pay attention to details.

·         Debt is a four letter word.

·         If something is not given, go find it.   The length is not given?  Write an equation to calculate it.

·         You can get a better sense of where you are by looking at the extremes.

·         Before you believe that something actually affects you, make sure you are actually                       

                a function of it.  For example, does the amount of G2 you drink actually affect your performance?

·         Reset.

·         If you change what you put in, you change what you get out. Corollary: If you don’t change what you put it, you won’t change what you get out.

·         Focus on the most important thing first.

Magis:

·         Make “life lessons” posters

Next week:

·         FINALS!

Websites:




For a Homework Effort Grade:

1.  Parent question:  What day is your student’s Mathematics Final?

Parent answer:_________________________________________________________________________________

__________________________________________________________________________________________



_____________________________

Parent signature                  Thank you!



2.  Student question:  What is an asymptote?

Student answer:___________________________________________________________________________________

________________________________________________________________________________________________

Algebra topics schedule:
Wk of 3/19 – factor/begin graphing
Wk of 3/26 – graphing/square roots
Wk of 4/2 – Spring Break
Wk of 4/9 – students teach 5 ways to solve quadratics
Wk of 4/16 – Ch. 10 test; simplify radicals
Wk of 4/23 – simplify and solve radicals
Wk of 4/30 – Pythagorean Theorem, midpoints
Wk of 5/7 - Ch. 11 test, inverse variation graphs; Field Day
Wk of 5/14 – Inverse Variation; Divide polynomials; rational expressions
Wk of 5/21 –Exams
Wk of 5/28 – No classes this week for 8th graders; Graduation


Saturday, May 5, 2012

WOS for week of 7 MAY


8th Grade Algebra                                                                   Week of 7 MAY 2012         
Objectives:     VERB: SIMPLIFY SOLVE GRAPH   NOUN: EXPRESSIONS EQUATIONS FUNCTIONS
Big Question:  Can you explain direct vs. indirect variation? 
Typical daily schedule of class:
1.  1st Things 1st                                                                                                               2.  Quiz               
3.  HW discussion                                                                                                          4.  Prayer                                              
5.  Lesson                                                                                                                        6.  Break               
7.  Mental minutes                                                                                                        8.  Closing

Lesson Objective
Key points
Assignment (due next class unless otherwise noted)
Mon
 What
+SWAT prepare for Thursday’s test
How
Practice test
Make sure you see me with any Chapter 11 concerns before the test Thursday.
Contact me 2x (due Fri)
Have WOS signed
Pg. 948 #10-64 even
Finish Chapter 11 Study Guide
Tue
What
+SWAT model inverse variation graphically
How
Notes
A fraction that has a denominator of 0 has no value;  it is undefined.

Graphically, that is represented as an asymptote. 
Contact me 2x (due Fri)
Pg. 769 #1,2,6-26,49-51
Study Chapter 11 Study Guide

Wed
What
+SWAT model inverse variation as an equation
How
Notes
To write an inverse variation equation
 you need to find the constant of variation, a.
Contact me 2x (due Fri)
Progress report signed
Study Chapter 11 Study Guide
Thu
Chapter 11 test
Bring study guide.
Contact me 2x (due Fri)
Pg. 769 #27,35-48, 54-56, 62, 69-74
Checksheet signed
Fri
No class – Field Day
--
--

What is expected on homework:

Homework Effort (30% of grade)
Homework content (5% of grade)
A+ homework has each of the following:
·         At least two sides of a page
·         Neat (write on lines, problems in order, use ruler)
·         Show work
·         Write problem out (except word problems)
·         For word problems, draw picture, label answer
·         Follow directions (try every problem assigned)
·         A – mastery of content
·         B – understand content with some misunderstandings
·         C – understand some content, but more misunderstandings
·         F – do not understand content

Vocabulary:  

Inverse variation – as the input increases, the output decreases, but does not necessarily ever reach zero

Hyperbola – the shape created by the graph of an inverse variation function

Asymptotes – the imaginary lines that the graph of an inverse variation function approaches, but never intersects  

Don’t forget:

Radical, Radicand, Quadratic, Hypotenuse; Legs, Midpoint



Life Lessons:

·         If you can, get rid of the most difficult obstacle first.  But remember, sometimes you have to get your desk ready before you do anything.  Clear out the radical, but make sure it is isolated first.

·         Sometimes you need to know your goal, analyze the information in front of you, and make a decision about your path towards that goal, which may include multiple options.

·         Paying attention to details can make or break a task; making a problem seem impossible when it is not at all.  Dropping a negative can make a simple two solution quadratic look un-solve-able.

·         If information you need is not given, you need to go get it.

·         Take a look again!     You don’t think that polynomial is factorable?  Did you try difference of squares?

·         Absolute value teaches us that sometimes we have to keep our mind open to two possibilities.

·         Do not deviate from the straight and narrow path.

·         Pay attention to details.

·         Debt is a four letter word.

·         If something is not given, go find it.   The length is not given?  Write an equation to calculate it.

·         You can get a better sense of where you are by looking at the extremes.

·         Before you believe that something actually affects you, make sure you are actually                       

                a function of it.  For example, does the amount of G2 you drink actually affect your performance?

·         Reset.

·         If you change what you put in, you change what you get out. Corollary: If you don’t change what you put it, you won’t change what you get out.

·         Focus on the most important thing first.

Magis:

·         Make “life lessons” posters

Next week:

·         Divide polynomials, begin review for Final

Websites:




For a Homework Effort Grade:

1.  Parent question:  Did your student start his Chapter 11 study guide over the weekend?

Parent answer:_________________________________________________________________________________

__________________________________________________________________________________________



_____________________________

Parent signature                  Thank you!



2.  Student question:  Did you start your Chapter 11 study guide over the weekend?

Student answer:___________________________________________________________________________________

________________________________________________________________________________________________

Algebra topics schedule:
Wk of 3/19 – factor/begin graphing
Wk of 3/26 – graphing/square roots
Wk of 4/2 – Spring Break
Wk of 4/9 – students teach 5 ways to solve quadratics
Wk of 4/16 – Ch. 10 test; simplify radicals
Wk of 4/23 – simplify and solve radicals
Wk of 4/30 – Pythagorean Theorem, midpoints
Wk of 5/7 - Ch. 11 test, inverse variation graphs; Field Day
Wk of 5/14 – Divide polynomials; rational expressions
Wk of 5/21 –Exams
Wk of 5/28 – Graduation