### Grade Six: Study guide: Number Systems

The
sixth graders are finishing up their work with number systems. The
final assessment will be a test, which will be assessed as Criterion A. The dates for the tests will be:

·
6T:
Wednesday, November 22

·
6I:
Thursday, November 23

Below
is a study guide listing the key topics that we worked with in this unit (we
will work with prime factorization and exponents this week). Students
should use their notebooks as the primary review source. This guide
also lists other ways that students can review topics that they may be a little
unsure of.

**Place value and naming numbers**

The
source for review is your notebook. You have the table of spelling
in it, as well as the notes you copied into it.

If you want to see
another explanation, try here http://www.firefightermath.org/index.php?option=com_content&view=article&id=114&Itemid=142 or
in your text book on pp. 17-22. Be careful, though. The
authors of the book use the word “and” in naming numbers. That
should be avoided. I will mark it as incorrect.

This
is a cool site for practicing how to read the names of numbers—including
really, really, really big ones. http://www.mathcats.com/explore/reallybignumbers.html You
could also use it as a way to practice spelling numbers by writing your number
in words instead of saying it out loud.

Here
is another site that explains how to name numbers. It also explains
how our number system is based on tens. http://themathpage.com/ARITH/powers-of-10.htm#q4

IXL:
A1, A2, and A3

**Structure of number systems**

Use
your notebook to review how number systems are organized. What kinds of rules do they follow? You do

*not*need to know how to read or write Egyptian numbers. You*do*need to know how to read and write Roman numerals.**Roman Numerals**

Take
a look at the notes that I posted earlier on the blog.

**Factors and multiples**

A
review of what factors and multiples are can be found at http://www.mathsisfun.com/numbers/factors-multiples.html .

You
can also look back in your textbook at pp. 98-99.

A
review of the divisibility rules can be found in your textbook on pp. 99-100. You
can also check out http://www.mathsisfun.com/divisibility-rules.html

IXL:
Look at C1 and E4 on the sixth grade page.
You can also look at F4 and F5 on the fifth grade page for divisibility
rules that make it easier to decide if a number is a factor or not.

**Rounding**

Be sure that you can both round numbers and be able to decide what the best value to round to is.

Here is a review of how to round with decimal
numbers. https://www.youtube.com/watch?v=5SLC6bquas8

**Prime numbers and composite numbers**

An
explanation of prime and composite numbers is at http://www.mathsisfun.com/prime-composite-number.html .

The
textbook reviews prime and composite numbers on pp. 100-101.

IXL:
E3

**Prime Factorization**

A
good review of prime factorization using the tree method can be found online. This link has two videos and a practice
activity.

This
website reviews what

*prime factorization*is and how to find it. It includes factor trees.
Textbook:
Pp. 100-101 look at what

*prime numbers*and*composite numbers*are. It uses the index method.
IXL:
E5 and E6

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