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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