Sixth Grade Math Essentials
The student will:
Numeration/Number Sense
• Compare and order positive and negative
integers. (6.1.1b)
• Represent large numbers using
exponential notation. (6.1.1d)
• Identify the prime factorization of
numbers. (6.1.1e)
• Use drawings, words, and symbols to
explain the meaning of addition and
subtraction of fractions. (6.1.2a)
• Use drawings, words, and symbols to
explain the meaning of addition and
subtraction of decimals. (6.1.2b)
• Multiply and divide positive rational
numbers. (6.1.3a)
• Select and apply the appropriate method
of computation when problem solving.
(6.1.3b)
• Use appropriate estimation methods to
check the reasonableness of solutions for
problems involving positive rational
numbers. (6.1.4a)
Computation/Estimation
• Divide decimals to solve problems. (8.2.1)
• Solve problems using addition and
subtraction of fractions with unlike
denominators. (8.2.1)
• Solve problems using addition and
subtraction of mixed numbers with
unlike denominators. (8.2.1)
• Solve problems by multiplying and
dividing fractions and mixed numbers.
(8.2.1)
Sixth Grade Math Essentials
The student will:
Measurement/Geometry/Spatial Concepts
• Identify the ordered pair of a plotted point
in a coordinate plane. (6.2.2a)
• Identify two-dimensional drawings of
three-dimensional objects. (6.2.4a)
• Determine the perimeter of polygons.
(6.2.5d)
• Determine the area of parallelograms and
triangles. (6.2.5e)
• Determine the volume of rectangular
prisms. (6.2.5f)
Algebraic Concepts
• Describe and create simple algebraic
expressions from words and tables. (6.3.1a)
• Use a variable to describe a situation with
an equation. (6.3.1b)
• Model contextualized problems using
various representations. (6.3.2a)
• Evaluate numerical expressions containing
multiple operations with respect to the
order of operations. (6.3.3b)
• Evaluate simple algebraic expressions
involving multiplication and division.
(6.3.3c)
• Solve one-step equations involving positive
rational numbers. (6.3.3d)
• Identify and explain the properties of
equality used in solving one-step equations.
(6.3.3e)
Data Analysis Probability, and Statistical
Concepts
• Compare and interpret data sets and their
graphical representations. (6.4.1b)
• Find the mean, median, mode, and range
for a set of data. (6.4.1c)
• Compute theoretical probabilities for
independent events. (6.4.3b)
• Find experimental probability for
independent events. (6.4.3c)
P L AT T S M O U T H C O M M U N I T Y S C H O O L
DISTRICT
1912 East Highway 34 Plattsmouth, NE 68048
T: (402) 296-3361 F: (402) 296-2667
W: www.plattsmouthschools.org
M AT H E M AT I C S
ESSENTIALS
SIXTH GRADE
P L AT T S M O U T H
COMMUNITY SCHOOLS
Working in partnership to
ensure Academic
achievement, responsible
Behavior and Civic
engagement.
SIXTH GRADE ESSENTIALS
Developing Mathematical
Foundations
Research shows that to prepare students for success
in mathematics, students must simultaneously
develop conceptual understanding, computational
fluency, and problem-solving skills. The Plattsmouth
Community School District Mathematics
Instructional Model includes these elements.
Effective middle school math education enables students to
“pursue answers to questions they have about themselves, content, and the world”
(NCTM 2005)
State math standards can be found at the following link: http://www.education.ne.gov/
AcademicStandards/index.html
Conceptual Understanding
Students need to understand what it means to add,
subtract, and “do math.” It is not enough for them
to know that 2 + 2 = 4 or that ½ x ½ = 1/4. At
PCSD, teachers help students see the relationship
between mathematical facts, procedures, and ideas.
Students don’t just count, they notice relationships,
and wrestle with mathematical ideas.
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Computational Fluency
Understanding is critical, but being able to recall
basic facts and compute quickly and easily, or
fluently, is also important. Teachers provide
sufficient practice distributed over time and include
a conceptually rich and varied mix of problems in
order to develop students' fast, accurate, and
effortless performance on computation.
Problem-Solving
When students use their mathematical
understanding and computational fluency in realistic
situations, they are problem solving. Making math
“real” includes helping students see the connection
between what happens in class and in the world
around them. By providing opportunities for
students analyze a problem and understand how it
can be solved mathematically, teachers at
Plattsmouth help students succeed outside of the
classroom.
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Nebraska Standards
Four Strands K-12:
Number Sense and Operations
Measurement and Geometric
Concepts
Algebraic Concepts
Data Analysis and Probability
Supported by:
Multiple Representations
Problem Solving
Communication
Collaborations