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Enduring Understandings
are important ideas that students should carry with them years beyond the
instruction received this year.
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Solving
real-world problems requires a sense of number, communication, and
reasoning skills.
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Fractions,
decimals, percents, patterns, geometry, and computation are related
mathematical concepts.
Essential Questions
are the most important “big picture” questions students should be able to answer
after completing learning activities.
CSAP
Tested Standards
Highest Frequency
 High
Frequency
 Other
Standards and E-Skills
Highest Frequency = the timing, intensity and
level of accountability is extremely high because mastery of these
skills will must be demonstrated in multiple test items on CSAP at
this grade level.
High
Frequency = the timing, intensity and level of
accountability is high because mastery of these skills will be
tested at this grade level.
Other
Standards and E-Skills = the timing, intensity, and level of mastery are
not urgent. It should be introduced during this time so students can
experience the concept and return in future quarters to strive
towards mastery. |
Standard 1:
Number Sense - December
 Demonstrate
meaning of square numbers using hands-on material.
Identify
evens, odds, primes, composites and factors of numbers.
Describe
characteristics of prime, composite, factors, multiples and square numbers
(i.e., Is an even number times an even number always an even number?)
Use
estimation to round numbers (money) to the nearest dollar (and in decimals)
to determine reasonable answers (i.e., use of compatible numbers).
Standard 2:
Patterns and Algebra - December
 Use
inverse relationships (i.e., 8 + _ = 15, 15 x _ = 45; 45 - _ = 15), then
choose and apply to solve mathematical and real-world problems.
Standard 3:
Data and Graphs - December
Use
probability and statistics to identify the essential components of
mathematical and real-world problems.
Use zero to
represent the probability of an impossible event and one to represent the
probability of a certain event.
Standard 4:
Geometry - December
Identify,
compare, and analyze two-dimensional shapes by attributes using “always” and
“never” (i.e., a triangle “always” has 3 sides, but “never” 2 parallel
sides).
Identify
the essential components of mathematical real-world problems using area,
perimeter and symmetry.
Solve
problems involving the perimeter of polygons.
Solve
problems involving the area of rectangles and squares.
Standard 6:
Computation - December
 Using
number sentences and any of the four basic operations, create and illustrate
“real” problems with whole numbers.
Select and
use an appropriate method to solve single-step problems (i.e., mental math,
estimation, paper/pencil, calculator).
Explain
mathematical reasoning in written and pictorial forms.
Recognize
the different uses parentheses have in an equation.
Unit Vocabulary
|
Use the
Visual Thesaurus and use
the approved login and password to the right. |
Login:
es35@d11.org
Password:
d112009 |
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December
Standards |
Everyday
Mathematics |
Math Expressions |
|
Attributes of 2-dimensional shapes |
pp. 668 |
pp. 588, 1150 |
|
Computation review
and fluency with 4 basic operations |
Multiple pages
under Addition, Subtraction, Multiplication, Division, and Review
and assessment |
Multiple pages
under Addition, Subtraction, Multiplication, Division, and Review
and assessment |
MORE CHART INFORMATION TO COME...
Resources for Teachers
• Mountain Math, Math Their Way, Creative Mathematics (Kim Sutton), Math
Solutions (Marilyn Burns), Math Perspectives (Kathy Richardson) (if your
building has purchased these resources)
• Your particular math series (see chart on Unit pages listing page numbers
to support standards)
• Success Maker (ask your LTE)
• Exemplars (CSAP style problem solving with writing, 4-point rubrics, and
sample student papers available on D11 website For Teachers pages)
• Math Keys (electronic manipulative – ask your LTE)
Assessments
Teacher observation, Hundreds Chart, Calendar Activities, Math Bingo,
Manipulative/White Board/Slate assessments, EDM assessment CD’s.
Parents
In addition to providing homework space and time to work, you can support
your fifth grader’s quarter 2 math work by encouraging your child to explain
his/her math work. The concepts in quarter 2 are more sophisticated and
build on what has been learned so far in elementary mathematics, so let your
child take the lead in the discussion. If your child is reluctant to engage
in mathematical discussion at first, have them give you a problem to solve,
then check your thinking with your child. This will open up the pathways
for communicating in mathematics which will prepare them for the written
expression of their thinking and processing on the CSAP math test.
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