FP10.2
Identify and
represent
irrational
numbers
Simplify
irrational
numbers in
radical form
Name __________________
Fully meeting expectations, with
enriched understanding (EU)
Fully meeting grade level
expectations (FM)
Mostly meeting grade level
expectations (MM)
Not yet meeting grade
level expectations (NY)
You can:
 Distinguish between many
different representations of
rational and irrational
numbers
 Apply various representations
of irrational numbers to
solving situational problems of
increasing complexity
On your own, you can:
 Distinguish between
rational and irrational
numbers and justify your
choice
 Represent and relate
irrational numbers in a
variety of ways, including
sorting on a number line
and solving related
problems
You can:
 Simplify an irrational
number by converting
entire radicals to mixed
radicals
 Work backwards to
convert a mixed radical
into an entire radical. You
can apply this knowledge
to problems.
With some help, you can
distinguish between
rational and irrational
numbers in order to relate
them to one another.
Continue to explore different
examples of rational and
irrational numbers in order to
justify your classifications and
become more confident in their
application.
You are beginning to simplify
irrational numbers by
converting entire radicals to
mixed radicals. Continue to
explore various strategies for
both simplifying radicals and
working backwards to write
entire radicals from mixed
radicals.
You are having trouble
distinguishing between
rational and irrational
numbers. Continue to
consult classmates,
resources to define
rational and irrational
numbers. Begin to look for
patterns and relationships
in the numbers.
You can:
 Confidently simplify
increasingly difficult irrational
numbers by exploring various
strategies
 Apply the simplification of
radicals to solving situational
problems of increasing
complexity
You are having trouble
simplifying irrational
numbers in radical
form.
Continue to become
familiar with the first
perfect squares and
perfect cubes and
work towards
distinguishing
between mixed and
entire radicals
You can:
 Confidently convert and
evaluate powers with rational
exponents, by exploring
Relate irrational
multiple strategies
numbers to
rational
 Apply the relationship
numbers
between irrational and
rational numbers to solving
situational problems of
increasing complexity
You can:
 Confidently apply multiple
strategies in order to apply the
exponent laws to powers with
Apply the
rational exponents
exponent
 Analyze solutions for multiple
laws to
errors and offer suggestions
powers
for correcting the errors
with
 Apply the exponent laws for
rational
powers with rational
exponents
exponents to solve situational
problems of increasing
complexity
Feedback:
You can:
 Convert and evaluate
powers with rational
exponents to a radical
 Generalize the
relationship between
rational exponents and
radicals
 Apply understanding to
related problems
You can:
 Extend and apply the
exponent laws to powers
with rational exponents,
in the form:
(am)(an) = am+n
am/an = am-n
(ab)m = aman
 Analyze solutions for an
error and offer
suggestions for correcting
the error
 Apply your knowledge to
related problems
You are beginning to convert
and evaluate powers with
rational exponents to a radical.
Continue to explore both
positive and negative
exponents and their
relationship to rational
numbers
You are having trouble
converting powers
with rational
exponents to a radical
in order to evaluate it
Look for patterns between
square roots and powers
with the exponent ½; look
for patterns between
You are beginning to apply the
exponent laws to powers with
rational exponents.
Continue to practice applying
each of the exponent laws
to various powers; perhaps
some practice with whole
numbers would help you
connect the laws to
rational numbers
You are having trouble
applying the exponent
laws to powers with
rational exponents;
Work towards identifying
the exponent laws and
applying them to powers
with whole number
exponent. Practice and
analyze for errors. Ask for
help if needed.