Math Unit - Integers

Currently in math we are reviewing our work with integers and learning how to:

• represent the multiplication and division of integers using a variety of tools
• students learn how to use counters and number lines to represent positive and negative integers
• http://www.brainingcamp.com/legacy/content/concepts/integer-multiplication/lesson.php is an online video explaining the two concepts.  Students must understand how to multiply and divide integers using these methods
• http://www.youtube.com/watch?v=hnO8_oQHDCA shows students how to use the numberline when dividing and http://www.youtube.com/watch?v=nvOLzivMAws shows students how to divide using counters.
• Solve problems involving operations with integers
• Done by way of inquiry based learning
• Evaluate expressions that involve integers, including expressions that contain brackets and exponents, using order of operations

Test Review Questions

Here are some review questions for you to practise if needed.

We have not yet looked at order of operations therefore anything with a 1.8 beside it is not necessary for this test.

Factor Trees

http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=grade_g_3.html

Expanded Form and Scientific Notation: Chapter 1 Section 1.5

Optional homework.  If you feel that you need more practice, here are the pages in your textbook for Scientific notation and Explanded form.

http://k12resources.nelson.com/math/9780176677794/student/student_book_pdfs/nm8sb_1_5.pdf

100 Lockers Problem

Below is the question that we worked on in class.  You may try it at home but I encourage you to try and figure out the answer on your own and not with help.
Good Luck!

There are 100 lockers in the long front hall of our school. Each August, the custodians add a fresh coat of paint to the lockers and replace any of the broken number plates. The lockers are numbered from 1 to 100.
When the students arrive on the first day, they decide to celebrate the start of the school year with our school tradition. The first student inside runs down the hall opening all of the lockers. The second student runs down the hall closing every second locker, beginning with locker number 2. The third student reverses the position of ever third locker, beginning with locker number 3. (If the locker is open, she closes it. If it’s closed, she opens it.) The fourth student changes the position of every fourth locker, beginning with number 4. This continues until the 100^th student has a turn, changing the position of the 100^th locker.

At the end of this ritual, which locker doors are open?
Why are the open lockers left open?
Which patterns emerged in your work?