Wrapping Up Addition and Subtraction

The main focus for today was to wrap-up our work with addition and subtraction of integers.  In order to do this, we divided into a couple of different groups based on our individual current needs.

Part 1: Adding and Subtracting Quick Quiz

At the beginning of class, complete the Entrance Card on adding and subtracting integers.  This entrance card will be used to determine what group you are in for the rest of the class.  Your goal is to score at least 7 out of 10 for each section.

Part 2: What Do You Need?

If you meet expectations on the entrance card you will play a game called "Life On The Number Line" which will stretch your ability to work with integers as well as test your ability to describe integer relationships.

If you did not meet expectations of the entrance card, you will do some additional practice with adding and/or subtracting integers.

Here is what you MUST do before next class:

• Finish the "Find a Match" and "Daffynition Decoder" worksheets OR the "What Should You Do If You Are Surrounded By 20 Lions...." worksheet. (this should have been completed last class)
• Finish your TOFU for the Mid-Unit Assessment (this should have been completed last class)
• Watch the video on multiplying and dividing integers and complete the note-taker handed out in class.

Fall Break Refresher

Hey everybody, I hope that you are having a great fall break.  I know that some of you have asked to have somethings that you can be working on over the break.  Here are some Khan Academy activities that you can try in order to keep your integer skills fresh.

Integers Basics

• Negative Numbers on the Number Line
• More Negative Numbers on the Number Line
• Ordering Negative Numbers
• Number Opposites
• Interpreting Negative Numbers

Absolute Values

• Finding Absolute Values
• Comparing Absolute Values
• Interpreting Absolute Values

Adding and Subtracting Integers

• Adding Negative Numbers
• Adding and Subtracting Negative Numbers

Mid-Unit Assessment and Consolidation Day

The main goal for this lesson is to see where you are at in terms of your understanding of adding and subtracting integers.  To do this, we will do an in-class assessment.  Good Luck.

After the assessment, there are a couple of things that I would like you to do in order to tie your understanding of this unit and the last unit together.  Here they are:

• Log in to Math XL For School.  Make sure that you have completed the following four tasks
• Accentuate the Negative Readiness Assessment
• Accentuate the Negative Pre-Assessment
• 1.2 Extending The Number Line
• 1.3 From Sauna to Snowbank
  
• Check your math grade in PowerSchool and look for any missing homework assignments from the Shapes and Design Unit.  Most of these will be Khan Academy activities.  Finish these.
  
• Check your grade on your blogpost from this unit and if you would like, edit your blogpost to improved standards.  Here are a couple of examples of a blog post that meets expectations and one that are exemplary.

What you MUST do before you leave the room today:

• Complete the Mid-Semester Reflection Form

2.2 and 2.3 Subtracting Integers

Focus Question:  How do you determine whether the final result with increase or decrease when subtracting integers?

In this lesson, we will explore how to use models to subtract integers.  We will also look at how addition and subtraction are connected to one another.

Step 1:  Determine each of the differences from the two different sets.  If you need help, remember to look back at the "subtracting integers" video on the previous post.

Step 2:  Look at the results from the two different sets of differences and try to fill in the blanks below based on the patterns from above.  I'll give you a hint....use "Set 1" to answer the first two bullets, and use "Set 2" to answer the last two bullets.

Step 3: Watch the slideshow below to help you discover the connection between addition and subtraction when it comes to integers.  The statements above will also help.



What you MUST do before next class:

• ACE (18-40) Evens only, (67)
• Remember that we have a mid-unit assessment next class.

2.1 Adding Integers

Focus Question: How can we predict whether the sum of two integers will be positive, negative, or zero?

In this lesson, we will explore two different models for adding integers and then work as a group to develop some algorithms (rules) for adding integers.

Here is a final overview of the Integer Chip model for addition.  Remember that your notes should look like the notes that have been written on the image below.

By the end of this class, you should be able to do the following:

• Use either a number line or integer chip model to add integers.
• Add integers mentally
• Describe an algorithm for adding integers with the same sign (both positive or both negative) and an algorithm for adding integers with two different signs.

Here is what you MUST have completed before next class:

1. ACE (1-14) p. 44
2. Watch the video on "Subtracting Integers" and complete the note-taking sheet that goes with it.

Here is some extra practice with adding integers if you would like:

1. Adding Integers on Khan Academy

1.4 In The Chips

Focus Question:  How can you use a "Chip" model to add and subtract integers.

Overview:

In this lesson we are going to use a "chip" or "counter" model to help us develop some strategies for adding and subtracting integers.  Here are some key concepts that you will need to know for this lesson.

Opposites - two numbers that are the same distance from zero, but on opposite sides.  For example, +5 and -5 are opposites.

Zero Pair - When a pair of opposites are added together, the sum is always zero.
For example,  +5 + (-5) = 0

Add - to "add on to" an initial value

Subtract - to "take away" from an initial value

For this lesson you can use either a physical chip board or a virtual chip board.  The virtual chip board can be found by clicking the image below.

As a class we will work through a couple of examples together from each of tasks A-D.

This is what you MUST do before next class:

• Complete Tasks A-D (E and F are optional extension activities) on pages 18 and 19 (Should be done in class)
• Complete ACE (49-55) (Should be done in class)
• Make a Blog Post that answers the investigation 1 reflection questions on page 28.  Remember to label it. (Should be started in class)