A Perfect Week!!!!

Here it is, COW #13.  Make sure your justification is thorough.  Show all your thoughts!

This week we will be applying our knowledge of the properties of arithmetic to find the products of monomials and to write and solve expressions and equations.
Perfect Squares and Square Roots
What is a perfect square? 
You should know all of the perfect squares up to 25. Here is a link to a table of perfect squares and square roots.Want to know more, here are the first 200!!

VIDEO Review: Writing Algebraic Expressions 
Interactive Practice with Algebraic Expressions
VIDEO Review: Writing Equations
Interactive Practice with Writing Equations
VIDEO REVIEW:Exponents- Multiplication
Rules of Exponents

Term 2, TASK 1- Properties of Arithmetic

Task 1 is due on Monday, November 29th

TASK 1:

You will create a handbook for the properties of arithmetic:

1. Each page should list a single property.  Each property should be described in:

a.  words (at least 1 sentence)

b.  an example written using variables

c. at least 5 worked examples with numbers

d. a real life scenario for the property

***For the commutative and associative property prove why these properties do not apply to subtraction and division. 

***For the distributive property give an example of how it could be used to make arithmetic easier

2. The final page of the handbook should have a worked step by step example of a single problem that uses each of the properties.  There should be justification for each step. 

Knowledge: You need to show your knowledge of the following properties:  You should be able to identify, define and apply the following properties: 1. Zero 2. Identity 3. Commutative 4. Associative 5. Distributive Property 6. Symmetric 7. Transitive 8. Reflexive 9. Substitution 10. Inverse (addition and multiplication)

Reasoning:   Through this task you need to show your reasoning skills: __ the student is able to create unique examples with numbers and variables for each property __ the student is able to justify with reasons and examples why the commutative and associative properties do not apply to subtraction and division __ the student is able to prove how the distributive property could make a seemingly difficult multiplication problem easier __ the student is able to synthesize all of the properties into a single problem and justify how each step of the problem uses the property

Communication: -Within all your work make sure that you clearly communicate your understanding.  -All work is clearly labeled with your name/class/date and the title. -All written statements should include thorough justification. -All variables, symbols, abbreviations are clearly defined. -All work is shown in sequential order and each step is labeled.  -Each step of the work is clearly justified and easily understood.   -Solutions are given in statements or clearly summarized.  Ex. In order to cross the river with all the family members it will take 6 trips. -All units are clearly identified. Ex.  45kg  or 26 lbs. -ANY graphs, tables and charts included in the response clearly represent the solution or reasoning and meet the standard using the graphing rubric. -Written arguments and explanations include: appropriate and accurate scientific and mathematical vocabulary. -All written arguments follow the organization of claim, reason and evidence. -  Arguments include appropriate and sufficient evidence to support reasons and claims.

Mathematical Properties 101

Welcome to TERM 2.  You are now 1/3 of the way through the school year and closer to HS.  So the bar is officially being raised.   You are going to have to work hard this trimester.  GET READY.

Here is COW #12.  Pay careful attention to the new requirements for Knowledge HW.    

There are lots of rules that you follow when you work with numbers.  You know these rules so well that you don't even realize that you use them.  From now until Thanksgiving break, our goal is to make sure you not only know the rules, but you also know their names.  We are going to be applying them to Algebra when we return from break.


Purple Math's Review of Basic Number Properties: Associative, Commutative, and Distributive
WISC Online Review with examples 
Math.com
Khan Academy Videos (Watch the first, then click next to hear about the other properties)
Brush up on your SLOPE skills at Kahn Academy

Addition Property	For all real numbers x, y, and z, if x = y, then x + z = y + z.	These properties allow you to balance and solve equations involving real numbers
Subtraction Property	For all real numbers x, y, and z, if x = y, then x – z = y – z.
Multiplication Property	For all real numbers x, y, and z, if x = y, then xz = yz.
Division Property	For all real numbers x, y, and z, if x = y, and z ≠ 0, then x/z = y/z.

The Zero Property of Addition

Adding 0 to a number leaves it unchanged. We call 0 the additive identity.
Example:
88 + 0 = 88

---

The Zero Property of Multiplication

Multiplying any number by 0 gives 0.
Example:
88 × 0 = 0
0 × 1003 = 0

Time to Reflect, Synthesize and Catch Up (if needed)

This week we will be reflecting on Term 1, thinking about our performance, our needs, our strengths and our areas for improvement.  Students will also be working on COW # 11- Eliminate Possibilities.  Other than that there will be no new Knowledge this week.  Students will be revisiting things they struggled with or synthesizing things they learned over the first term.  On Friday, we will have our introduction to the next unit.

Last Week of TERM 1:TASK 8: The Law of Conservation of Energy (Kinetic and Potential)

  This week you will be working with a partner and participating in a series of activities to prepare you to write an essay about energy.

The activities include:

            Station 1: Skate Park Physics, Online Interactive (media center computers)

            Station 2: Car Lab (classroom)

            Station 3: Reading on Conservation of Energy and PE and KE and Which has more energy calculations? (hallway)

            Station 4: Marble Energy Conservation Lab (Classroom)

            Station 5: PE and KE Movie (next door)

Station 6: Math Practice Problems (Classroom)

While working at each station you should be taking notes that you will use to write your argument. You will have 1 hour in class on Friday to write your argument.  You may bring in notes and work that you complete in class this week.  You may not use any direct sources of information.  Your essay will include the following paragraphs:

Paragraph 1: Claim- Energy can be neither created nor destroyed.  It is constant in a system.

Paragraph 2: Claim- PE and KE are different forms of energy.

Paragraph 3: Claim- Mass affects PE the same as height.

Paragraph 4: Claim: Velocity affects KE more than mass.

Paragraph 5:  Claim: The PE and KE formulas represent two different types of functions.

Paragraph 6: Claim:

PE and KE and the law of conservation can be seen in many real life situations.

Each paragraph should include the following: 

-        At least 1 reason why the claim is valid or true

-        2- 3 pieces of evidence to support the claim

 
COW #10

COW #10- Knowledge KEY