Fifth Grade Enduring Understandings and Essential Questions
Topic
Enduring Understandings
Essential
Questions
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1. Place value can be used to compare and order whole
numbers and decimals as well as tell how many.
1. Decimals allow for representations of a variety of real
world values.
2. Computational fluency includes understanding not only
the meaning but also the appropriate use of numerical
operations.
3. The magnitude of numbers affects the outcome of
operations on them.
4. Context is critical when using estimation.
1. Multiplication is related to both addition and division.
2. Computational fluency includes understanding not only
the meaning but also the appropriate use of numerical
operations.
3. The magnitude of numbers affects the outcome of
operations on them.
4. Context is critical when using estimation.
1. Division has a variety of applications and is a necessary
operation.
2. Computational fluency includes understanding not only
the meaning but also the appropriate use of numerical
operations.
3. The magnitude of numbers affects the outcome of
operations on them.
4. Context is critical when using estimation.
1. There are no remainders dealing quantities that must
kept as a whole.
2. Computational fluency includes understanding not only
the meaning but also the appropriate use of numerical
operations.
3. The magnitude of numbers affects the outcome of
operations on them.
4. In many cases, there are multiple algorithms for finding a
mathematical solution, and those algorithms are frequently
associated with different cultures.
5. Context is critical when using estimation.
1. Identification of patterns can be used to determine the
reasonableness of answers.
2. Computational fluency includes understanding not only
the meaning but also the appropriate use of numerical
operations.
3. The magnitude of numbers affects the outcome of
operations on them.
4. Context is critical when using estimation.
1. Identification of patterns can be used to determine the
reasonableness of answers.
2. Computational fluency includes understanding not only
the meaning, but also the appropriate use of numerical
operations.
3. The magnitude of numbers affects the outcome of
operations on them.
4. Context is critical when using estimation.
1. Algebraic representation can be used to generalize
patterns and relationships.
2. Patterns and relationships can be represented
1. How can counting, measuring, or labeling help to make sense of
the world around us?
1. Why use decimals?
2. What makes a computational strategy both effective and
efficient?
3. How does the size of the number affect the outcome of the
operation?
4. How can we decide when to use an exact answer and when to
use an estimate?
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1. How does multiplication relate to the other operations?
2. What makes a computational strategy both effective and
efficient?
3. How does the size of the number affect the outcome of the
operation?
4. How can we decide when to use an exact answer and when to
use an estimate?
1. Why do we need to use division?
2. What makes a computational strategy both effective and
efficient?
3. How does the size of the number affect the outcome of the
operation?
4. How can we decide when to use an exact answer and when to
use an estimate?
1. When are remainders okay and when are they not?
2. What makes a computational strategy both effective and
efficient?
3. How does the size of the number affect the outcome of the
operation?
4. How can we decide when to use an exact answer and when to
use an estimate?
1. How can identification of patterns assist me when multiplying
decimals?
2. What makes a computational strategy both effective and
efficient?
3. How does the size of the number affect the outcome of an
operation?
4. How can we decide when to use an exact answer and when to
use an estimate?
1. How can identification of patterns assist me when dividing
decimals?
2. What makes a computational strategy both effective and
efficient?
3. How does the size of the number affect the outcome of an
operation?
4. How can we decide when to use an exact answer and when to
use an estimate?
1. How can change be best represented mathematically?
2. How can patterns, relations, and functions be used as tools to
best describe and help explain real- life situations?
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graphically, numerically, symbolically, or verbally.
3. The symbolic language of algebra is used to communicate
and generalize the patterns in mathematics.
1. The denominator determines how many parts make the
whole; that is why quantities must have the same
denominator to be combined.
2. One representation may sometimes be more helpful than
another; and, used together multiple representations give a
fuller understanding of a problem.
1. Improper fractions can assist when adding and
subtracting mixed numbers.
2. One representation may sometimes be more helpful than
another; and, used together multiple representations give a
fuller understanding of a problem.
1. Improper fractions can assist when multiplying and
dividing mixed numbers.
2. One representation may sometimes be more helpful than
another; and, used together multiple representations give a
fuller understanding of a problem.
1. Some problems can be solved by breaking apart or
changing the problem into simpler ones, solving the simpler
ones, and using those solutions to solve the original
problem.
1. Everyday objects have a variety of attributes, each of
which can be measured in many ways.
2. What we measure affects how we measure it.
3. Measurements can be used to describe, compare, and
make sense of the world around them.
1. The message conveyed by the data depends on how the
data is collected, represented, and summarized.
2. The results of a statistical investigation can be used to
support or refute an argument.
1. Geometric properties can be used to construct geometric
figures.
2. Geometric relationships provide a means to make sense
of the world around them.
1. How can geometric/algebraic relationships best be
represented and verified?
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1. Integers are the whole numbers and their opposites
where zero is its own opposite.
2. The coordinate system is a scheme that uses two
perpendicular number lines intersecting at zero to tell the
location of points in the plane.
3. The distance between two points on a number line is the
number of unit segment between points.
4. A graph of a linear equation contains all of the points on
the coordinate grid whose x- and y-coordinates satisfy the
equation.
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1.
3. How are patterns of change related to the behavior of
functions?
1. Why can’t you add and subtract fractions with unlike
denominators?
2. How do mathematical ideas interconnect and build on one
another to produce a coherent whole?
1. How do you determine which form of a number is most
appropriate?
2. How do mathematical ideas interconnect and build on one
another to produce a coherent whole?
1. How do you determine which form of a number is most
appropriate?
2. How do mathematical ideas interconnect and build on one
another to produce a coherent whole?
1. How can complex problems be solved?
1. How does how we measure influence what we conclude?
2. How does what we measure influence how we measure?
3. How can measurements be used to solve problems?
1. How can the collection, organization, interpretation, and
display of data be used to answer questions?
2. How can numbers be used to prove certain data sets?
1. How can spatial relationships be described by careful use of
geometric language?
2. How do geometric relationships help in solving problems
and/or make sense of the world?
1. Reasoning and/or proof can be used to verify or refute
conjectures or theorems in geometry.
2. Coordinate geometry can be used to represent and verify
geometric/algebraic relationships.
1. What are integers and what situations can integers represent?
2. How can you describe the location of a point on a coordinate
plane?
3. How can you find the distance between integers on the number
line?
4. How can you graph an equation on a coordinate grid?
1.