Monday April 8th and Tuesday April 9th - Test Prep Answers

Unit Assessment- Accentuate the Negative-  Wednesday and Thursday Part I and II!

Here is the link to the Test Prep Answers for Accentuate the Negative.

Friday April 5th - Study Guide for Unit Test

Here is the link for the Unit Test Study Guide - Accentuate the Negative.

Please rework and work through these problems in the next few days and be ready for the Unit Test Tuesday and Wednesday of next week.  Please come and discuss any areas you are confused with.

Hi All,

Today we continued our work on Investigation 4.3 about the Distributive Property.  We worked with multiplication over both addition and subtraction.  The students also did well to take their knowledge of the order of operations and positive and negative numbers to help expand expressions.

To help drive the property home, I thought I would share a helpful link from cool math.com:

COOL MATH --DISTRIBUTIVE PROPERTY


Remember, Skills #17 is due tomorrow! :)

Wed and Thursday 27th and 28th - Study Guide for Skills Test and Class Notes

Investigation 4.1  Goals:
This investigation focuses on the order of operations.
Students will explore the use of the order of operations to order computations in provided problems.

Link to notes from class.

SKILLS TEST PRACTICE PROBLEMS
Here is the study guide sheet for the Skills Test 1-16 (this Friday).
Page 1
Page 2

Tuesday 26th - Study Guide for Investigation #3

Accentuate the Negative - Check-in Investigation 3
Study Guide Essential Learning: 
• Demonstrate an understanding of arithmetic operations for integers (positive and negative numbers)
• Understand commutative property, distributive property and order of operations

Content covered:
1. Solve word problems involving positive and negative numbers Examples: Skill Sheet: Multiplying Integers
2. Solve problems involving addition, subtraction, multiplication, or division of positive and negative numbers Examples: Skill sheets (the papers with the circled problems)

 Study:
*Look over the first quiz from this unit. Make sure you can do any of the problems, especially any that were incorrect.
*Check the problems that you’ve marked wrong from your homework- redo them, if you can’t get the right answer, ask questions.
*Do some of the problems from the handouts and then check to see if they are right using a calculator. 

Vocabulary use be specific, use the terms we have learned – see the list in your vocabulary notebook and vocabulary crossword puzzle.

Tuesday, March 26, 2013

Quiz on Investigation 3 Tomorrow

Greetings all, 

Today we worked on a Check-In review packet about what we have learned in Investigation 3 about multiplying and dividing positive and negative integers.

Use the packet wisely tonight to help you practice and stay fresh for the quiz.  I have even attached the answers here.

Monday, March 25th 2013

Introducing Division of Integers

Today in math class we explored the division of integers using what we have learned about the relationship between division in multiplication found in fact families.  This allowed us to create algorithms for dividing integers.

We worked through 3.3 and collaborated as a class to explore various fact families with both positive and negative numbers.  During this process we found that multiplication is commutative (3x2=2x3) and that division is not commutative (3/2 is not equal to 2/3).

Here is a link to the notes from class today: Problem 3.3 Notes <-- For those of you who did not get a chance to finish in class I have put the answers on the notes for you.

Also, a friendly reminder that the homework for tonight is ACE #7-8 on pg. 69 and #33 on pg. 77.

Help Video on Subtracting Integers

March 20th and 21st - Investigation 3.1 and 3.2

Investigation 3.1 - Introducing Multiplication of Integers

The goals of today's lesson:

• Use a number line and motion model to develop the relationship between repeated addition and multiplication with integers
• Develop and use algorithms for multiplying integers.

Some of the algorithms uncovered by our students were:

• When two factors have the same sign then the product is positive.
• When two factors have opposite signs the product is a negative number.

Investigation 3.2 

Here is a video showing a different method of understanding the multiplication of integers using a pattern method.

March 18th - Investigation 2.5 coordinate graphing

Today we reviewed coordinate graphing in all 4 quadrants.
Here is an image to remind you of the 4 quadrants.


Students need to complete Investigation 2.5 A-E on p. 36-37.

Here is a video on graphing coordinate points.

March 11th - Investigation 2.2 and 2.3

Today we continued to look at integers and specifically subtracting integers.

We worked with the following number sets:

-8 - -3 =

8 -3 =

8 - -3 =

-8 - 3 =

-3 - -8 =

The following were the rules/ algorithms we came up with.

1. You will get a positive number if the number you start with is greater than the number you subtract it from.

2. If the first number is less than the second number then the difference will be negative.

Another student then said:
3. If the first number is greater than the second then the difference will be positive.

We had good discussions and a good use of the chip model today.

Here is an interactive link to chip models. 
Open in Safari

March 7th - Investigation 2.1

Goals for the day:
- Students will be developing algorithms for adding integers.
- Students will model addition of integers using distance/ direction on a number line and chip model.

The main algorithms discussed today were the following:

When adding integers:

1. If the addends have the same sign, combine and use the same sign.

2. If the addends have opposite signs, cancel and take the sign of the number furthest from zero (largest absolute value).

Complete the Check-in Inv 2.1

Tuesday March 5th - Investigation 2.1

Goals for the day:

• Students will be developing algorithms for adding integers.
• Students wil model addition of integers using distance/ direction on a number line and chip model.

The main algorithms discussed today were the following:

When adding integers:

1. If the addends have the same sign, combine and use the same sign.

2. If the addends have opposite signs, cancel and take the sign of the number furthest from zero (largest absolute value).

Math this Week - 27th, 28th, and 1st of March

We worked through Investigation 1.  Students were aquatinted with number lines, read thermometers and how to use the chip model to work with adding and subtracting positive and negative integers.

Here is a cool interactive link working with the chip model.
Click here to access.  You will need to open this in Safari!

Here is a good link to Math is Fun on Number Lines.

Starting Accentuate the Negative - Feb 25th and 26th

Welcome Back!

Coming back from Break we are also moving into a new Unit called Accentuate the Negative.
The focus is on this Unit is understanding and developing systematic ways to add, subtract, multiply, and divide positive and negative numbers.  Students will develop algorithms for computations and will use the order of operations, the Commutative Property, and the Distributive Property to solve problems.

Worksheets to Complete in class or homework:
Accentuate the Negative- Prior Skills and Concepts

Working with Integers Document Link
If you can not answer a question circle it and place a question mark next to it.  Do not worry about not being able to answer every question, this is a baseline.

Skills Sheet due Friday March 1st:
Skills #13 Document Link

We started Investigation 1 by going over vocabulary and completing the reading on p. 5-7.
The vocabulary words are:

• Rational Number
• Positive Number
• Negative Number
• Integer
• Opposite

Be sure to review these and understand their meaning based on the worksheet and today's reading.