Task Analysis
Subject__5th Grade__Math_________________
Goal: 1 The learner will understand and compute nonnegative rational numbers. (EOG 20-25%)
Task Analysis
OBJECTIVE
1.01
st
Intro 1
nine
weeks
Maintain
nd
2
rd
3
th
4

©Duplin County Schools
Explain rational
numbers using models
(including fractions and
decimals)
Model place value from
thousandths to the
hundred thousands
using base ten blocks
Read, write, and
recognize numbers
.001- 999,999 (written,
expanded form, and
standard form)
Recognize correct place
value .001- 999,999
Identify the place of an
underlined digit from
.001- 999,999
Identify the value from
.001- 999,999
Compare and order
rational and whole
numbers using:
Number lines
Models
Place Value
Knowledge
Symbols
Vocabulary
Use a number line to
show the relationship
between whole
numbers, fractions,
Vocabulary
Standard Form
Written form
Expanded Notation
Hundred Thousands
Place
Ten thousands place
Thousands place
Hundreds place
Tens place
Ones place
Tenths place
Hundredths place
Thousandths place
Equivalence
Ascending
Descending
Approximately
About
Estimate
Fractions
Decimals
Greater than
Greater than or equal
to
Less than
Less than or equal to
Not equal to (symbol)
Materials/ Essential
Resources Questions
Base ten blocks
Fraction bars
Fraction circles
Number lines
Place Value
Charts
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
enVision
Textbook
Topic: 1
Grade 5 Math TIA June 2009
How can you model
large numbers in
various ways?
How do you
determine the value
of a digit in a given
place?
What is the
difference in the
value of a number
and the place value?
How do you know
when it is
appropriate to make
estimates?
What is the
relationship
between decimals
and fractions?
Assessment
NCDPI Released Test Items
http://www.ncpublicschools.org/accounta
bility/testing/eog/sampleitems/newcurmat
h5
(See pg 5-7 for Sample Item Key Report to
match individual sample problems to
objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and
Spanish)
How do you
compare and order
decimals and
fractions?
1





1.02
Intro
st
1
Maintain
nd rd th
2 ,3 ,4



©Duplin County Schools
mixed numbers, and
decimals
Apply place value
concepts from
thousandths to 999,999
including various forms
to solve problems (ex.
Using basic properties
to compose (build) and
decompose (taken
apart) numbers)
Estimate numbers and
explain when
to use estimation
Demonstrate strategies
for estimation
Judge the
reasonableness of
estimates
Model additional and
subtraction of whole
numbers, decimals, and
fractions with unlike
denominators within
the same fraction
family using
manipulatives, pictures,
numbers, and words
Demonstrate strategies
to estimate the result
of operations with
fractions and decimals
Estimate sums and
differences from .001999,999 (including
fractions and mixed
numbers)
Judge and explain the
reasonableness of
estimates
Fraction, Decimal
Numerator
Denominator, Factor,
Multiple,
Approximately, About,
Equivalent,
Benchmark Numbers,
Landmark Numbers,
Reasonable
Base ten blocks
Fraction bars
Fraction circles
Number lines
Place Value
Charts
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
How do you estimate
sums and differences
of fractions and
decimals?
NCDPI Released Test Items
http://www.ncpublicschools.org/accounta
bility/testing/eog/sampleitems/newcurmat
h5
How do you add and
subtract fractions
with unlike
denominators?
(See pg 5-7 for Sample Item Key Report to
match individual sample problems to
objectives).
How do you judge if
a solution is
reasonable?
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and
Spanish)
enVision
Textbook
Topics: 2, 9, 10
Grade 5 Math TIA June 2009
2
1.03
Intro
st
1 nine
weeks
Maintain
nd rd
2 ,3 ,
4th
©Duplin County Schools
 Demonstrate the ability
to use a calculator when
adding and subtracting
fractions and decimals
 Demonstrate and apply a
variety of problem
solving strategies across
the curriculum and in
real world situations
o Analyze data and
choose relevant
facts
o Guess and Check
o Make a table
o Create a
chart/graph
o Draw a
diagram/picture
o Make an
organized list
o Work backwards
o Find a pattern
o Solve a simpler
problem
o Act it out
o Estimate
o Identify missing or
extraneous
information
Evaluate and defend the
reasonableness of a
chosen strategy when
solving a problem
Choose appropriate
tools when solving
problems
o Manipulatives
o Calculators
o Pencil and paper
o Mental Math
o Computers
About
approximately
make a list
draw a picture
guess and check
equation
solve a simpler
problem
make a
table/chart/graph
working backward,
looking for a pattern,
decomposing
Calculators
Graphic
organizer
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
enVision
Textbook
Topics: 2, 9, 10
Grade 5 Math TIA June 2009
How do you know if
your chosen problem
solving strategy is
reasonable?
NCDPI Released Test Items
http://www.ncpublicschools.org/accounta
bility/testing/eog/sampleitems/newcurmat
h5
How do you
determine
appropriate tools to
solve problems?
(See pg 5-7 for Sample Item Key Report to
match individual sample problems to
objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and
Spanish)
3
Task Analysis
Subject________Math_______________________
Goal: 2 The learner will recognize and use standard units of metric and customary measurement (EOG 10-15%)
Task Analysis
Vocabulary
OBJECTIVE
2.01
st
1 nine
week
Maintain
nd rd th
2 ,3 ,4
Brainstorm and sort
customary and metric
measurement units for
length, mass, weight,
and capacity
Demonstrate
measurement with
appropriate tools for
length, mass, weight,
and capacity
Explore and compare
benchmark comparisons
between relating
measurement systems
Use benchmark
comparisons to solve
problems relating
measurement systems
Liter, centimeter,
meter, kilometer,
quart, gallon, pint,
cups, grams,
kilograms, miles,
inches, feet, yards,
pounds, ounces,
benchmark, landmark,
mass, unit ,
abbreviations
Materials/ Essential
Resources Questions
Meter Stick
Yard Stick
Ruler
Thermometer
Scale/Balance
Tape Measure
Pint, Cup,
Quart, Gallon,
Liter, Milliliter
Conversion
Chart
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
What would be a
reasonable estimate
for an object in the
metric system if you
know its
measurement in the
customary system?
How do you measure
objects within the
metric customary
systems?
How do you compare
objects from one
system to another,
using benchmark
measurements?
Assessment
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
(See pg 3 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
Study Island
Accelerated
Math
2.02
Intro
nd
2
Maintain
4th
©Duplin County Schools
Identify compare, and
contrast acute, obtuse,
right, and straight
angles.
Estimate the measure of
an angle using the
benchmark angles
Angle, protractor,
degree, acute, right,
obtuse, straight, angle
notation,
supplementary,
complementary,
congruence,
enVision
Textbook
Topics: 12, 14
Accelerated
Math
Protractors
Rulers
Grade 5 Math TIA June 2009
How do you
distinguish between
acute, obtuse, right
and straight angles?
How do you
distinguish between
complementary and
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
(See pg 3 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
4
(about 30°, more or
less than 90°)
Using a protractor, draw
and measure angles.
Judge the
reasonableness of an
angle measurement.
Measure angles
embedded within plane
figures.
©Duplin County Schools
adjacent angles
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
supplementary
angles?
How do you measure
and draw angles
using a protractor?
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
How do you measure
angles embedded
within plane figures?
enVision
Textbook
Topic: 8
Grade 5 Math TIA June 2009
5
Task Analysis
Subject________Math_______________________
Goal: 3 The learner will understand and use properties and relationships of plane figures. (EOG 25-30%)
Task Analysis
Vocabulary
Materials/
Resources
Triangle, right,
obtuse, acute,
isosceles, scalene,
equilateral,
congruent,
quadrilateral,
rectangle, square,
rhombus, isosceles,
trapezoid, right
trapezoid,
parallelogram, kite,
pentagon, hexagon,
octagon, decagon,
regular polygon,
irregular polygon,
line, line segment,
midpoint, ray, angle,
vertex (vertices)
adjacent, opposite,
properties, parallel,
perpendicular,
Geoboard
Shapes (concrete
representation
of shapes)
Tangrams
OBJECTIVE
3.01
Intro
st
1
Maintain
4th
©Duplin County Schools
Sort polygons by the
number of angles and
sides.
Construct and label
specific polygons.
Compare and contrast
properties of polygons.
Demonstrate and
explain the properties
of scalene, isosceles,
and equilateral
triangles.
Demonstrate and
explain the properties
of quadrilaterals.
Explain similarities and
congruency among
polygons.
Find the number of
diagonals in a polygon.
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
Essential
Questions
Assessment
What properties
make polygons alike
and different?
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
How do you
determine the
number of diagonals
in a polygon?
(See pg 5-6 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
enVision
Textbook
Topic: 8
Grade 5 Math TIA June 2009
6
3.02
Intro
nd
2
Maintain
rd
th
3 ,4
©Duplin County Schools
Measure and
investigate:
o Lengths of sides
of triangles
o Lengths of
diagonals of
polygons
o Sums of interior
angles of
polygons
Investigate parallelism
and perpendicularity of
sides and diagonals of
polygons.
Make and test
conjectures about
polygons from the
investigations
Formulate and explain
your conclusions.
bisect, intersection,
justify, conjecture,
diagonal, line of
symmetry, side,
adjacent, Interior
angles,
counterclockwise,
clockwise, side,
adjacent, congruent,
line symmetry,
rotational symmetry,
point of rotation,
reflect, rotate (turn),
line of symmetry,
90°, 180°, and 270°
rotation
Geoboard
Shapes (concrete
representation
of shapes)
Tangrams
Protractors
Rulers
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
What conjectures
can be made about
polygons?
How do you describe
different polygons
using angles, sides,
and diagonals?
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
(See pg 5-6 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
Study Island
Accelerated
Math
enVision
Textbook
Topic: 8
Grade 5 Math TIA June 2009
7
3.03
Intro
st
1
Maintain
th
4
Skills to
maintain:
transform
ations
(slides,
flips,
turns)
Identify and describe
line and rotational
symmetry of plane
figures.
Analyze and explain the
relationship between
rotational symmetry
and line symmetry.
Distinguish between
line and rotational
symmetry in plane
figures.
Geoboard
Shapes (concrete
representation
of shapes)
Tangrams
Protractors
Rulers
How can you
determine if a plane
figure has line or
rotational symmetry?
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
(See pg 5-6 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
Study Island
Accelerated
Math
3.04
Intro
nd
2
Maintain
rd
th
3 ,4
Skills to
Maintainperimeter
and area
Demonstrate and apply
a variety of strategies
to solve problems
involving the properties
of polygons.
Solve and explain
problems using the
properties of triangles,
quadrilaterals, and
other polygons.
enVision
Textbook
Topic: 13
Geoboard
Shapes (concrete
representation
of shapes)
Tangrams
Protractors
Rulers
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
What strategies are
useful in determining
lengths of sides and
diagonals?
What strategies are
useful in determining
parallelism and
perpendicularity of
sides and diagonals?
How can you find the
measure of missing
interior angle
without a protractor
if you know all the
other angles?
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
(See pg 5-6 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
enVision
Textbook
Topics: 12, 13
©Duplin County Schools
Grade 5 Math TIA June 2009
8
Task Analysis
Subject________Math_______________________
Goal: 4 The learner will understand and use graphs and data analysis. (EOG 10-15%)
Task Analysis
Vocabulary
OBJECTIVE
4.01
Intro
1st
Skills to
Maintaincoordinate
grids,
line graphs
4.02
Intro
nd
2
Maintain
rd th
3 ,4
©Duplin County Schools
Pose questions and
collect data using
observations, surveys,
and experiments.
Select appropriate
data displayed.
Construct and analyze
data including:
pictographs, line plots,
Venn Diagrams (2 or
more circles), circle
graphs, single and
double bar graphs,
stem and leaf plots.
Using data to make
predictions and draw
conclusions.
Compare, contrast,
and explain different
representations of the
same data.
Evaluate and explain
how well each
representation shows
important aspects of
the data
o Appropriateness
o Purpose
o Clarity
o Scale
Data, median, mode,
range, line plot, circle
graph (pie graph),
pictograph, line graph,
tallies, bar-graph,
frequency tables,
stem-and-leaf plots,
interval, frequency, x
and y axis
Materials/ Essential
Resources Questions
Graphic
Organizers
Examples of
graphs
Calculators
Graph paper
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
How do you create
and use a stem and
leaf plot?
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
How can you collect,
organize, analyze,
and display data to
help you solve
problems?
(See pg 7 for Sample Item Key Report to match
individual sample problems to objectives).
Categorical, numerical
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Grade 5 Math TIA June 2009
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
Study Island
Accelerated
Math
enVision
Textbook
Topic: 18
Graphic
Organizers
Examples of
graphs
Calculators
Graph paper
Assessment
How do you
determine which
type of graph to use
to best display data?
How do you
determine the scale
of the appropriate
graph?
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
(See pg 7 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
9
Study Island
Accelerated
Math
4.03
Intro
nd
2
Maintain
rd
3 ,4th
Determine and explain
median, range, and
mode across multiple
sets of data.
Explain the
relationship between
median, range and
mode across multiple
sets of data.
Apply various problem
solving strategies to
solve problems from a
single set or across
multiple sets of data
using median, range,
and mode.
enVision
Textbook
Topics: 18, 20
Graphic
Organizers
Examples of
graphs
Calculators
Graph paper
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
How do you
determine the
effectiveness and
accuracy of a chosen
graph?
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
How do you use
median, range, and
mode to help analyze
data?
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
What does median,
range, and mode
indicate about a set
of data?
How can statistics be
used to help
interpret data?
(See pg 7 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
enVision
Textbook
Topic: 18
©Duplin County Schools
Grade 5 Math TIA June 2009
10
Task Analysis
Subject________Math_______________________
Goal: 5 The learner will demonstrate and understanding of patterns, relationships, and elementary algebraic
representations. (EOG 20-25%)
Task Analysis
Vocabulary
Materials/ Essential
Assessment
OBJECTIVE
Resources Questions
Variable, constant,
Graph Paper
How do you describe, NCDPI Released Test Items
Identify and explain the
5.01
Intro
st
1
Maintain
4th
©Duplin County Schools
missing element or outcome
of the pattern.
Find the missing elements in
numeric and geometric
patterns and predict the
outcome of the next
sequence.
Extend and describe numeric
and geometric patterns using
multiple representations:
o Function tables
o Graphs
o Coordinate planes
unknown, varying,
algebraic expression,
pattern, geometric,
numeric, algebraic
equation, function
table, in/out chart, Tchart, x-y chart, nth
term, input/output
chart
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
enVision
Textbook Topic:
(no specific
topic, see also:
topics
1,2,3,4,6,10, 15,
16, 17)
Supplement
Grade 5 Math TIA June 2009
extend and
generalize numeric
and geometric
patterns?
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
(See pg 8-9 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
11
5.02
Intro
nd
2
Maintain
th
4
5.03
Intro
rd
3
Maintain
4th
©Duplin County Schools
Use and explain
appropriate vocabulary
and symbols when
working with algebraic
expressions:
o Variable
o Opposites
o Reciprocal
o Inequalities
o <, >, ≤, ≥, ≠
Create and solve equations
or inequalities to solve
problems involving algebraic
expressions and patterns.
Use rate and ratio and how it
relates to change as used in
patterns, tables, and
function machines.
Use appropriate vocabulary
when identifying, describing,
and analyzing situations with
constant of varying rates of
change.
Investigate how a change in
one variable relates to a
change in a second variable.
Identify, solve, and explain
problems involving constant
and varying rates of change.
Variable, less than,
more than, at most,
the least, less than or
equal, more than or
equal, opposites,
reciprocals, algebraic
equation, inequality,
algebraic expression,
fact family, pan
balance
Graph Paper
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
How do you use
equations and
inequalities to solve
problems involving
algebraic
expressions?
Graph Paper
NCDPI:
Indicators,
Strategies,
Weekly
Essentials
Study Island
Accelerated
Math
enVision
Textbook
Topics: 16
Grade 5 Math TIA June 2009
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
enVision
Textbook
Topic: 15
Equivalent, constant,
varying, proportional
(See pg 8-9 for Sample Item Key Report to match
individual sample problems to objectives).
How does a change
in one variable relate
to change in a
second variable?
How do rate and
ratio relate to change
as in patterns, tables
and function
machines?
How do you identify
and solve problems
involving constant
and varying rates of
change?
NCDPI Released Test Items
http://www.ncpublicschools.org/accountability/
testing/eog/sampleitems/newcurmath5
(See pg 8-9 for Sample Item Key Report to match
individual sample problems to objectives).
enVision Benchmark Test (see CD, listed by
topics, 1-20)
enVision ExamView Test Generator (see
assessment CD, generate in English and Spanish)
12