Grade 6 Math Learning Standards
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The 6th grade mathematics program is a continuation of Everyday Math that is the basis for K-5 instruction in the Sharon Public Schools.
Developed at the University of Chicago, this journal-based program emphasizes core mathematics concepts consistent with the Massachusetts
Frameworks and the National Council of Mathematics Teachers 2000 Learning Standards. Key
mathematics skills and knowledge are taught in the context of problem solving and real world applications.
A language-rich program, Everyday Math requires student to explain and justify their reasoning and to
write about mathematics solutions. Cooperative learning strategies are featured as students support one
another’s thinking and work processes. Teachers share a clear vision of direct instruction that lies at the
core of each lesson. In this way the program allows students to construct their own understanding of
mathematics, but with clearly articulated outcomes.
Study Links provide the homework component of Everyday Math. Each worksheet provides
reinforcement for the lesson taught that day. Students and parents also have access to the Student
Reference Book, a hard cover text that provides explanations of the journal lessons and a glossary of
terms.
Everyday Math supports a balanced approach to 6th grade mathematics, solidifying numerical
skills and forming a bridge to secondary mathematics.
Strand: Algebra (Patterns & Functions)
Understanding
Essential Questions
Students will understand that
Patterns of numbers correspond to
• How can we write algebraic
algebraic expressions that can be used
expressions to model patterns of
in problem solving.
numbers?
• How are algebraic expressions
applied to solving problems?
Knowledge
Students will know the/that
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Skills
Students will be able to
• Write algebraic expressions that model a
given pattern.
• Write a pattern that matches an algebraic
expression.
• Use a pattern to predict subsequent
values.
Grade 6 Math Learning Standards
Strand: Number Sense
Understanding
Students will understand that
Mathematical terminology and symbols
are used in precise ways.
All numbers have a distinct position on
the real number line.
The results of an operation depend on
the types of numbers involved.
Essential Questions
• Why is it important to use precise
mathematical vocabulary and
symbols?
• How does mathematical terminology
relate to common English words?
• How do we distinguish between the
meaning of mathematical
terminology and similar English
words?
• How does the use of different
symbols or terminology change the
meaning or result of our work?
• What is the relationship between the
position of a number on the number
line and the value of the number?
• What are the different structures for
a number line?
• What is the significance of each of
the elements of the number line?
• How can we use a number line to
solve problems?
• How does identifying the types of
numbers involved in an operation
assist in determining the
reasonableness of the result?
Knowledge
Students will know the/that
• Vocabulary related to numbers and
their operations.
• Symbols related to mathematical terms
and operations.
• Divisibility rules for 6 and 9.
• Rule for order of operations
(PEMDAS).
Skills
Students will be able to
• Use proper symbols and vocabulary to
communicate their mathematical ideas.
• Translate between the language of
English and the language of mathematics
including reading and writing numbers.
• Place value of the digits in any number.
• Types of numbers that can be
represented on a number line.
• Compare & order positive real numbers.
• Compare and order all integers.
• Locate, label and read numbers on the
real number line.
• Use a number line to model addition of
integers.
• Construct a number line with any type of
positive real number.
• Construct a number line with any type of
integer.
• Determine place value of any digit in a
number from thousandths to trillions.
• Perform all operations with fractions and
decimals.
• Use whole numbers as exponents.
• Follow the order of operations properly
including PEMDAS & left to right rule.
• Find roots of some perfect square
numbers.
• Make logical predictions about the result
of an operation.
• Write the numbers in an operation based
on a diagram or based on the verbal
• Vocabulary related to all operations including exponentiation.
• Symbols related to all operations
(including the ‘fraction bar’ as a division
symbol).
statement in a problem. (Ex
divided by 5’).
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Grade 6 Math Learning Standards
Understanding
Students will understand that
Estimation is a logical, useful tool.
Strand: Geometry and Measurement
Understanding
Students will understand that
Mathematical terminology and symbols
for geometry and measurement are
used in precise ways.
Different types of measurements are
required depending on the situation or
objects involved.
Perimeter and area are distinct
concepts that require different units of
measure and appropriate labels.
Different transformations can be
applied to plane figures.
Essential Questions
• How can estimation be used to
determine the reasonableness of an
answer?
• When is estimation the best
strategy?
• How does rounding impact a result?
Essential Questions
• Why is it important to use precise
mathematical vocabulary and
symbols?
• How does mathematical terminology
relate to common English words?
• How do we use different types of
measurements?
• How do we appropriately label
perimeter and area?
• What are the connections between
perimeter and area?
• What are the effects of
transformations on plane figures?
Strand: Data, Statistics and Probability
Understanding
Essential Questions
Students will understand that
There are a variety of ways to
• How can we use data to interpret
represent, model, and analyze data
events in the physical world and in
and to predict future events.
our society?
Knowledge
Students will know the/that
• Difference between rounding and
estimation.
Skills
Students will be able to
• Make reasonable estimates based on
data in a problem.
• Round numbers.
Knowledge
Students will know the/that
• Polygons: trapezoids, pentagons,
hexagons and octagons.
Skills
Students will be able to
• Identify trapezoids, pentagons, hexagons
and octagons.
• Standard relationships between
measurements such as 12 inches in 1
foot; 60 minutes in 1 hr.
• Meaning of circumference as the
perimeter of a circle.
• Measure angles with a protractor.
Knowledge
Students will know the/that
• Tree diagrams can be used to
determine the number of ‘items’ in a
data set.
• Stem and leaf plots can be used to
represent data.
Skills
Students will be able to
• Construct a tree diagram to determine the
number of combinations possible.
• Predict the probability of outcomes of
simple experiments and test the
predictions.
• Construct stem & leaf plots using data.
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• Choose the appropriate formula for finding
the perimeter and area of a given shape.
• Use the formula to find the perimeter and
area of a given shape.
• Perform & record simple transformations.