Download Parent Unit 3 Guide for 6th Grade Math

6
th
Grade
Mathematics
Unit 3: : Expressions
Excerpts from Georgia Department of
Education Webinar August 28, 2012
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August 2012
Warm-Up
Which of the following expressions are
equivalent? Why? If an expression has no
match, write two equivalent expressions to
match it.
a.
2(x + 4)
b.
8 + 2x
c.
2x + 4
d.
3(x + 4) – 4 – x
e.
(x + 4) + (4 + x)
Answers:
a.
2(x + 4) = 2x + 8
b.
8 + 2x = 2x + 8
c.
2x + 4 = 2x + 4
d.
3(x + 4) – 4 – x = 3x + 12 – 4 – x
= 2x + 8
e.
(x + 4) + (4 + x) = (x + x) + (4 +
4) = 2x + 8
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What’s the main idea of Unit 3?
• Develop a deep understanding with
reading, writing, and evaluating
expressions in which letters stand for
numbers and with expressions
involving whole number exponents.
• Develop a deep understanding with
applying the properties of operations
to generate and identify equivalent
expressions.
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Concepts & Skills to Maintain from Previous Grades
 Use parentheses, brackets, or braces in
numerical expressions and evaluate
expressions with these symbols
 Write and interpret numerical expressions
 Generate two numerical patterns using two
given rules
 Interpret a fraction as division
 Perform operations with whole numbers,
fractions, and decimals
Website to help with the above:
www.aaamath.com
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Enduring Understandings from this Unit
 Variables can be used as unique unknown
values or as quantities that vary.
 Exponential notation is a way to express
repeated products of the same number.
 Algebraic expressions may be used to
represent and generalize mathematical
problems and real life situations
 Properties of numbers can be used to
simplify and evaluate expressions.
 Algebraic properties can be used to create
equivalent expressions
 Two equivalent expressions form an
equation.
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Examples & Explanations
1.
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2.
Sadie = 2(l + w) = 2(30 + 75) = 210
Eric = 2l + 2w = 2(30) + 2(75) = 210
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 The student edition for Unit 3 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.
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August 2012