Friday, February 27, 2009

"Special Products" - A Matter of Patterns and Convenience

It took the class all of 15 minutes to arrive at the conclusion that 'special' products are just the unique and predictable outcomes of multiplying certain binomials. To formalize our findings we label these outcomes as the square of a sum, the square of a difference or the product of a sum and difference. Students also pointed out that it is NOT an absolute necessity to know that these special products exist because we can always fall back on the distributive property. However, such an argument is tantamount to claiming that knowing much of the multiplication table is useless, when the reality is that such rote knowledge is actually quite useful in general problem solving. In the same way, it is incredibly helpful to be familiar with the outcome of these special products.

Please bear in mind that your class notes will likely be collected this week and to invest in them appropriately at home.



Home Nugget #25 of the 3rd term

Due on Monday March 2, 2009

In Algebra I book:

Page 407 # 18 - 28, 35 - 39

Page 408 # 40 - 46, 50, 51

Page 409 # 61 - 72

Reminder: Be diligent about working on your class notes nightly! This process will help you to reflect on the day's lesson and give you a chance to gain meaningful, long-term retention of content.

FCAs
2 points: all problems completed in their entirety. Your effort at the end of the lesson is as evident as at the start.
2 points: evidence/explanations for your thought/solution process is provided for ALL pertinent problems.

Thursday, February 26, 2009

Recognizing and Labelling Special 'Outcomes' or Products

Home Nugget #24 of the 3rd term
Due on Friday February 27, 2009

In Algebra I book:

Page 401 # 27 - 33

Page 402 # 38 - 41, 44 - 49, 51

Page 407 # 1 - 11

Reminder: Be diligent about working on your class notes nightly! This process will help you to reflect on the day's lesson and give you a chance to gain meaningful, long-term retention of content.

FCAs
2 points: all problems completed in their entirety. Your effort at the end of the lesson is as evident as at the start.
2 points: evidence/explanations for your thought/solution process is provided for ALL pertinent problems.

Wednesday, February 25, 2009

Opening up New Doorways Using the Distributive Property

Home Nugget #23 of the 3rd term
Due on Thursday February 26, 2009

From Practice Sheet # 1 - 29
This is yet another opportunity to continue strengthening your skill in simplifying monomials. The solutions to all problems are provided on the reverse of the paper but the process is not.

In Algebra I textbook, read pages 398 and 399
and then solve problems 1 - 11 on page 401

Reminder: Be diligent about working on your class notes nightly! This process will help you to reflect on the day's lesson and give you a chance to gain meaningful, long-term retention of content.

FCAs
2 points: all problems completed in their entirety. Your effort at the end of the lesson is as evident as at the start.
2 points: evidence/explanations for your thought/solution process is provided for ALL pertinent problems.

Tuesday, February 24, 2009

A New Twist on an Old Standby Math Property

Home Nugget # 22 of the 3rd Term
Assigned on Tuesday February 24, 2009
Due on Wednesday February 25, 2009

Reminder: Be diligent about working on your class notes nightly! This process will help you to reflect on the day's lesson and give you a chance to gain meaningful, long-term retention of content.

In Algebra I book

Page 392 #22 - 25, 28 - 31

Page 393 #38 - 41, 44 - 47

Page 394 #54 - 57

Page 395 # 72 - 79



FCAs
2 points: all problems completed in their entirety. Your effort at the end of the lesson is as evident as at the start.
2 points: evidence/explanations for your thought/solution process is provided for ALL pertinent problems.

Monday, February 23, 2009

Figuring Out How to Find the Product of a Monomial and Polynomial

Home Nugget #21 of the 3rd Term
Assigned on Monday February 23, 2009
Due on Tuesday February 24, 2009

Reminder: Be diligent about working on your class notes nightly! This process will help you to reflect on the day's lesson and give you a chance to gain meaningful, long-term retention of content.

In Algebra I text,

Read pages 390 and 391 on how to multiply a monomial by a polynomial.

Solve the following problems:

Page 392 # 1 - 15

FCAs
2 points: all problems completed in their entirety. Your effort at the end of the lesson is as evident as at the start.
2 points: evidence/explanations for your thought/solution process is provided for ALL pertinent problems.