6
th
Grade
Mathematics
Unit 1: Number
System Fluency
Excerpts from Georgia Department of
Education Webinar May 1, 2012
melissa.stewart@hallco.org
May 2012
Warm-Up
Use a model, diagram, or manipulative to
perform the following operations…try
not to rely upon your algorithm!
• 1/2 ÷ 1/4
• 1/3 ÷ 1/4
• 2/3 ÷ 1/3
• 3¼÷1½
Modeling examples can be found at
http://www.thinkingblocks.com/
Teaching videos can be found at
http://www.khanacademy.org/
under
arithmetic
melissa.stewart@hallco.org
May 2012
What’s the main idea of Unit 1?
• Developing conceptual understanding of
division of fractions by fractions.
• Developing deep understanding and
fluency with operations of fractions,
multi-digit decimals and multi-digit
numbers.
melissa.stewart@hallco.org
May 2012
Concepts & Skills to Maintain from Previous Grades
 Number sense
 Computation with multi-digit whole numbers and
decimals, including order of operations
 Addition, subtraction, multiplication and division of
common fractions
 Familiarity with factors and multiples
 Data usage and representations
Websites to help with the above:
www.aaamath.com
http://www.arcademicskillbuilders.com/
http://www.professorgarfield.org/pgf_home.html
http://multiplication.com/
melissa.stewart@hallco.org
May 2012
Enduring Understandings from this Unit
 The meanings of each operation on fractions
are consistent with the meanings of the
operations of whole numbers.
 When dividing by a fraction, there are two
ways of thinking about the operation –
partition and measurement which will lead to
two different though processes for division.
 When dividing one number by another, a
quotient may result that is bigger than the
original number, smaller than the original
number, or equal to the original number.
melissa.stewart@hallco.org
May 2012
Example & Explanation
Michael’s mom paid $2.40 for ¾ pound
of chocolate, how much is that per
pound.
I have ¾, how much is one?
melissa.stewart@hallco.org
May 2012
I have ¾, how much is one?
$2.40 ÷ 3 = $0.80
($0.80 x 4) = $3.20/lb
melissa.stewart@hallco.org
May 2012
Application Problem
The Parents Teachers Association at your school would like to
donate school supplies to help increase student creativity and
student success in the classroom. Your teacher would like you to
create kits that include one package of colored pencils, one glue
stick, and one ruler. The colored pencils are packaged 12 boxes
to a case; the rulers are packaged 30 to a box, and the glue
sticks are packaged 4 to a box. How many packages of each will
you need in order to create the minimum number of boxes
without any supplies left over?
So, 5 boxes of colored pencils, 15 boxes of glue sticks, and 2
boxes of rulers; there will be a minimum of 60 kits.
melissa.stewart@hallco.org
May 2012
 The student edition for Unit 1 can be
found at
https://www.georgiastandards.org/C
ommon-Core/Pages/Math-6-8.aspx
On the left side, please look under
mathematics, 6 – 8. Then, the right
side has a pull-down menu to access
the units.
 Additional parent guides will be
posted to the parent resource page on
http://www.hallco.org/boe/index.ph
p (right had menu) as they become
available.
 Math skills can be kept up-to-date
through our Summer Learning Site at
the link above.
melissa.stewart@hallco.org
May 2012