Trend Map Summary for Grade 3 Math
This page lists the number of times a question appeared under each standard and the percent of the test it makes up.
Test Name
Grade 3 Math
Standard
2006
2007
2008
2009
2010
2011
2012
Algebra
4/31 = 13%
4/31 = 13%
5/31 = 16%
4/31 = 13%
3/31 = 10%
5/46 = 11%
7/50 = 14%
Geometry
3/31 = 10%
4/31 = 13%
4/31 = 13%
4/31 = 13%
4/31 = 13%
6/46 = 13%
6/50 = 12%
Measurement
Number Sense/Operations
Statistics/Probability
Nov 16, 2012
5/31 = 16%
5/31 = 16%
5/31 = 16%
5/31 = 16%
4/31 = 13%
7/46 = 15%
7/50 = 14%
16/31 = 52%
15/31 = 48%
14/31 = 45%
14/31 = 45%
16/31 = 52%
23/46 = 50%
24/50 = 48%
3/31 = 10%
3/31 = 10%
3/31 = 10%
4/31 = 13%
4/31 = 13%
5/46 = 11%
6/50 = 12%
1
7:41:36 AM
Trend Map Summary for Grade 3 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Algebra
Performance Indicators
3.A01.Use the symbols <, >, = (with and without the use of a number
line) to compare whole numbers and uni
3.A02.Describe and extend numeric (+, -) and geometric patterns
Geometry
3.G01.Define and use correct terminology when referring to shapes (circle,
triangle, square, rectangle, rh
2006
2007
2008
2009
2010
2011
2012
04, 21
09, 22
19, 24
13
17
08, 25
05, 36, 39
24, [29]
[27],
[30]
10, 23,
[30]
09, 22, [30]
15, [28]
15, 30, [45]
08, 23, 27,
[65]
[27], [31]
16, [29]
17, [27]
05, [28]
[29]
12, [43]
19, 49, [61]
08
32
09
05
34
3.G02.Identify congruent and similar figures
3.G03.Name, describe, compare, and sort three-dimensional shapes: cube,
cylinder, sphere, prism, and cone
Measurement
22
3.G04.Identify the faces on a three-dimensional shape as two-dimensional
shapes
01
21
15
3.G05.Identify and construct lines of symmetry
15
07
18
3.M01.Select tools and units (customary) appropriate for the length
measured
17
16
03
02
3.M02.Use a ruler/yardstick to measure to the nearest standard unit
(whole and 1/2 inches, whole feet, and
01, 10
19
34
21
27
38
19
20
37
22, 26
14
01
02
50, 57
3.M04.Recognize capacity as an attribute that can be measured
3.M07.Count and represent combined coins and dollars, using currency
symbols ($0.00)
26
03, 13
05, 21
03, 08
02, 10
07
3.M08.Relate unit fractions to the face of the clock: Whole = 60 minutes,
1/2 = 30 minutes, 1/4 = 15
3.M09.Tell time to the minute, using digital and analog clocks
Number
Sense/
Operations
24
31
18
06
22
17
18
21
3.M10.Select and use standard (customary) and non-standard units to
estimate measurements
40
3.N01.Skip count by 25’s, 50’s, and 100’s to 1,000
03
3.N02.Read and write whole numbers to 1,000
3.N03.Compare and order numbers to 1,000
07, 58
05
02
02, 07
01
12
02
01
11
04, 10
3.N04.Understand the place value structure of the base ten number
system:10 ones = 1 ten, 10 tens = 1 hund
09
31
3.N05.Use a variety of strategies to compose and decompose three-digit
numbers
13
3.N04.Understand the place value structure of the base ten number
system. . . Up to 1,000.
3.N06.Use and explain the commutative property of addition and
multiplication
03
55
04
10, [26]
04, 09
11
06
14
14
06
Trend Map Summary for Grade 3 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Number
Sense/
Operations
Performance Indicators
3.N07.Use 1 as the identity element for multiplication
2006
2007
2008
2009
2010
15
18
18
01
23
21
11
3.N08.Use the zero property of multiplication
14
2011
05
3.N09.Understand and use the associative property of addition
3.N10.Develop an understanding of fractions as part of a whole unit and
as parts of a collection
33
20
20, [28]
15, 20
12
07
3.N11.Use manipulatives, visual models, and illustrations to name and
represent unit fractions (1/2, 1/3,
16
20
3.N12.Understand and recognize the meaning of numerator and
denominator in the symbolic form of a fraction
22
39
3.N13.Recognize fractional numbers as equal parts of a whole
17
19
14
08
3.N16.Identify odd and even numbers
08
07
06
23
3.N19.Develop fluency with single-digit multiplication facts
04
13
05,
[26],
[28]
06, [27]
03, [26],
[31]
[41]
01, 25, [59],
[60]
09
04, 08
11
24, [26]
09
23
51, 52
04, [44]
14
12
3.N22.Demonstrate fluency and apply single-digit division facts
19
23
13
07
10
10
24
24
18
20
3.N23.Use tables, patterns, halving, and manipulatives to provide meaning
for division
16
12
16, 23
13
24
16
3.N26.Recognize real world situations in which an estimate (rounding) is
more appropriate
3.S05.Display data in pictographs and bar graphs
3.S07.Read and interpret data in bar graphs and pictographs
3.S08.Formulate conclusions and make predictions from graphs
28
11, 35, [62]
33
56
36
3.N27.Check reasonableness of an answer by using estimation
Statistics/
Probability
40, 54
06, 11, [26]
3.N21.Use the area model, tables, patterns, arrays, and doubling to
provide meaning for multiplication
3.N25.Estimate numbers up to 500
06
29
3.N20.Use a variety of strategies to solve multiplication problems with
factors up to 12 x 12
3.N24.Develop strategies for selecting the appropriate computational and
operational method in problem sol
30, [63]
02, 53
3.N17.Develop an understanding of the properties of odd/even numbers as
a result of addition or subt
3.N18.Use a variety of strategies to add and subtract 3-digit numbers
(with and without regrouping)
2012
12
38
12
[30]
[31]
[31]
[31]
[27]
[46]
[64]
25, [28]
11, 25
25, [29]
20, [29]
19, [30]
17, 22, [42]
03, 21, 41
25
25
35
29, 32
Trend Map Summary for Grade 4 Math
This page lists the number of times a question appeared under each standard and the percent of the test it makes up.
Test Name
Grade 4 Math
Standard
2006
2007
2008
2009
2010
2011
2012
Algebra
7/48 = 15%
7/48 = 15%
7/48 = 15%
7/48 = 15%
7/48 = 15%
6/57 = 11%
7/56 = 13%
Geometry
5/48 = 10%
5/48 = 10%
6/48 = 13%
6/48 = 13%
5/48 = 10%
7/57 = 12%
5/56 = 09%
Measurement
Number Sense/Operations
Statistics/Probability
Nov 16, 2012
9/48 = 19%
7/48 = 15%
7/48 = 15%
7/48 = 15%
8/48 = 17%
9/57 = 16%
11/56 = 20%
23/48 = 48%
25/48 = 52%
24/48 = 50%
24/48 = 50%
24/48 = 50%
29/57 = 51%
25/56 = 45%
4/48 = 08%
4/48 = 08%
4/48 = 08%
4/48 = 08%
4/48 = 08%
6/57 = 11%
8/56 = 14%
4
7:41:36 AM
Trend Map Summary for Grade 4 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Algebra
Performance Indicators
3.A01.Use the symbols <, >, = (with and without the use of a number
line) to compare whole numbers and uni
4.A01.Evaluate and express relationships using open sentences with one
operation
2006
2007
12
[39]
4.A04.Describe, extend, and make generalizations about numeric
(+,-,×,÷) and geometric patterns
[43]
Geometry
2010
2012
07
[34]
[41]
31, [48]
[67]
21
21, [43]
24, [32]
04
40, [65]
07
26
15
26
27, 30,
[32]
[38],
[45]
24
[39]
[57]
12, 55
4.A05.Analyze a pattern or a whole-number function and state the rule,
given a table or an input/output bo
06
17, [43]
19, [39]
13
34
31
3.G02.Identify congruent and similar figures
20
22
16
15
4.G01.Identify and name polygons, recognizing that their names are
related to the number of sides and angl
30, [46]
04
10
22, [36]
[36]
11, [50]
29, 52
4.G02.Identify points and line segments when drawing a plane figure
24
28, [42]
30
06
03
17
59
21, [32]
[36]
[41]
04
[47]
21
[68]
[35]
[47]
09
06, [55]
4.G03.Find perimeter of polygons by adding sides
4.G03/4G04.Find perimeter of polygons by adding sides; Find the area of a
rectangle by counting the number of
4.G04.Find the area of a rectangle by counting the number of squares
needed to cover the rectangle
05
4.G05.Define and identify vertices, faces, and edges of three-dimensional
shapes
Measurement
2011
29
26, [38]
14, 17, 20, 29,
[45]
2009
14
4.A02.Use the symbols <, >, =, and ? (with and without the use of a
number line) to compare whole numbers
4.A03.Find the value or values that will make an open sentence true, if it
contains < or >
2008
4.M01.Select tools and units (customary and metric) appropriate for the
length being measured
4.M02.Use a ruler to measure to the nearest standard unit
(whole,1/2and1/4inches, whole feet, whole yards,
28
02, 09
20
09
02
11
24
42
22
28
28
01
02
4.M03.Know and understand equivalent standard units of length: 12
inches = 1 foot, 3 feet = 1 yard
38
4.M03.Know and understand equivalent standard units of length:12 inches
= 1 foot, 3 feet = 1 yard
4.M04.Select tools and units appropriate to the mass of the object being
measured (grams and kilograms)
4.M06.Select tools and units appropriate to the capacity being measured
(milliliters and liters)
[39],
[44]
22
[34]
[44]
16
30
[33]
22
06
29
33
24, 53
19
30, 43
37
Trend Map Summary for Grade 4 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Measurement
Performance Indicators
4.M08.Make change, using combined coins and dollar amounts
4.M09.Calculate elapsed time in hours and half hours, not crossing
A.M./P.M.
2006
2007
2008
2009
2010
2011
2012
07, [31], [34],
[44]
[37],
[46]
[33],
[42]
[37], [41]
[42]
[53]
23, 41, [63]
19
29
24
28
14
25
21
18
20
18
61
20
12
27
4.M10.Calculate elapsed time in days and weeks, using a calendar
Number
Sense/
Operations
10
3.N14.Explore equivalent fractions (1/2, 1/3, 1/4)
06
3.N15.Compare and order unit fractions (1/2,1/3,1/4) and find their
approximate locations on a number line
26
3.N19.Develop fluency with single-digit multiplication facts
3.N20.Use a variety of strategies to solve multiplication problems with
factors up to 12 x 12
03
18
23, 28
19
14
07
08
02
[47]
09, [44]
[48]
[40]
14
11
3.N25.Estimate numbers up to 500
3.N26.Recognize real world situations in which an estimate (rounding) is
more appropriate
28
4.N01.Skip count by 1,000’s
4.N02.Read and write whole numbers to 10,000
07
01
01
12
02
03
07
01
04
01
03, 43
03
16
4.N04.Understand the place value structure of the base ten number
system: 10 ones = 1 ten, 10 tens = 1 hun
39
54
4.N05.Recognize equivalent representations for numbers up to four digits
and generate them by decomp
12
4.N03.Compare and order numbers to 10,000
17
4.N04.Understand the place value structure of the base ten number
system. . . Up to 10,000.
12
4.N06.Understand, use, and explain the associative property of
multiplication
18
16, [41]
01, 06
13
15, [48]
08
[45]
38
4.N07.Develop an understanding of fractions as locations on number lines
and as divisions of whole numbers
[37]
36
4.N08.Recognize and generate equivalent fractions (halves, fourths, thirds,
fifths, sixths, and tenths) us
21
35
4.N09.Use concrete materials and visual models to compare and order unit
fractions or fractions with the s
42
4.N10.Develop an understanding of decimals as part of a whole
20
4.N11.Read and write decimals to hundredths using money as a context
10
08
10
62
Trend Map Summary for Grade 4 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Number
Sense/
Operations
Performance Indicators
2006
2007
2008
2009
4.N12.Use concrete materials and visual models to compare and order
decimals (less than 1) to the hundredt
4.N13.Develop an understanding of the properties of odd/even numbers as
a result of multiplication
4.N14.Use a variety of strategies to add and subtract numbers up to
10,000
4.N15.Select appropriate computational and operational methods to solve
problems
4.N18.Use a variety of strategies to multiply two-digit numbers by onedigit numbers (with and without reg
2011
2012
17
29
30
[47]
01, 34
06
25
23
07
15, 27, [40],
[41], [42]
05,
[31],
[45]
[31]
05, [35], [40]
[31]
04
02, 21
27
27
08
[33]
[34]
05, 19, [49]
04, [64]
4.N16.Understand various meanings of multiplication and division
4.N17.Use multiplication and division as inverse operations to solve
problems
2010
11
[66]
[36]
08
11, [37]
17, [45]
[35]
13
60
08, 10, 11, [33],
[48]
13, 22,
[35]
[32],
[40]
09, [42]
[48]
09, [46]
08, 56
26
11
4.N19.Use a variety of strategies to multiply two-digit numbers by twodigit numbers (with and without reg
4.N20.Develop fluency in multiplying and dividing multiples of 10 and 100
up to 1,000
[37], [43]
19, 25,
[40]
04
13, [32]
[44]
10
33, [69]
4.N21.Use a variety of strategies to divide two-digit dividends by one-digit
divisors (with and without re
[35]
15
[46]
10
[43]
16, [52]
22
23
[33]
25, [36]
29, [31]
[46]
37
58, [70]
25
45
35
4.N22.Interpret the meaning of remainders
4.N23.Add and subtract proper fractions with common denominators
09
4.N24.Express decimals as an equivalent form of fractions to tenths and
hundredths
4.N26.Round numbers less than 1,000 to the nearest tens and hundreds
05
03
4.N27.Check reasonableness of an answer by using estimation
Statistics/
Probability
03
26
05
41
02
18
25
18
[51]
51
3.S01.Formulate questions about themselves and their surroundings
4.S03.Represent data using tables, bar graphs, and pictographs
23
[38]
[48]
[39],
[47]
[46]
4.S04.Read and interpret line graphs
4.S05.Develop and make predictions that are based on data
4.S06.Formulate conclusions and make predictions from graphs
[38]
[56]
27, 39
30
40
32
16
24
26
[38]
23
44, [54]
25
13, [47]
14, [34]
12
15, 23
27
32
05, 36, 57,
[71]
Trend Map Summary for Grade 5 Math
This page lists the number of times a question appeared under each standard and the percent of the test it makes up.
Test Name
Grade 5 Math
Standard
2006
2007
2008
2009
2010
2011
2012
Algebra
5/34 = 15%
4/34 = 12%
4/34 = 12%
4/34 = 12%
6/34 = 18%
6/49 = 12%
6/51 = 12%
Geometry
7/34 = 21%
7/34 = 21%
9/34 = 26%
10/34 = 29%
9/34 = 26%
13/49 = 27%
12/51 = 24%
Measurement
Number Sense/Operations
Statistics/Probability
Nov 16, 2012
5/34 = 15%
4/34 = 12%
4/34 = 12%
4/34 = 12%
3/34 = 09%
9/49 = 18%
8/51 = 16%
13/34 = 38%
15/34 = 44%
13/34 = 38%
12/34 = 35%
13/34 = 38%
17/49 = 35%
21/51 = 41%
4/34 = 12%
4/34 = 12%
4/34 = 12%
4/34 = 12%
3/34 = 09%
4/49 = 08%
4/51 = 08%
8
7:41:36 AM
Trend Map Summary for Grade 5 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Algebra
Performance Indicators
4.A02.Use the symbols <, >, =, and ? (with and without the use of a
number line) to compare whole numbers
2006
2007
2008
2009
2010
24
09
05
04, 07
03
5.A01.Define and use appropriate terminology when referring to constants,
variables, and algebraic e
15
5.A03.Substitute assigned values into variable expressions and evaluate
using order of operations
20
5.A04.Solve simple one-step equations using basic whole-number facts
13
5.A05.Solve and explain simple one-step equations using inverse
operations involving whole numbers
5.A07.Create and explain patterns and algebraic relationships (e.g.,
2,4,6,8...) algebraically: 2n (doubli
5.A08.Create algebraic or geometric patterns using concrete objects or
visual drawings (e.g., rotate and s
Geometry
17
16
16
04, 25
14, [33]
12, [28]
03
14
[30]
[32]
5.G02.Identify pairs of similar triangles
14, 24,
[34]
10
24
[34]
03, [34]
41
36
08
[45]
[67]
[32]
38
18
21, 32
10, [31]
14
09
55
20
09
02, 37
39
[32]
11, 22
26
[27]
[30]
24
06
22
05, [28]
25
09, [31]
02
22
02
[30]
06
01
21
49
26, [63]
13
05
5.G09.Identify pairs of congruent triangles
5.M02.Identify customary equivalent units of length
19
15
16, [29]
5.G07.Know that the sum of the interior angles of a triangle is 180 degrees
5.M01.Use a ruler to measure to the nearest inch, 1/2, 1/4, and 1/8 inch
32
[44]
26
5.G06.Classify triangles by properties of their angles and sides
Measurement
34
18
5.G05.Know that the sum of the interior angles of a quadrilateral is 360
degrees
5.G11.Identify and draw lines of symmetry of basic geometric shapes
03
12
5.G01.Calculate the perimeter of regular and irregular polygons
5.G10.Identify corresponding parts of congruent triangles
[29]
02
4.G08.Classify angles as acute, obtuse, right, and straight
5.G08.Find a missing angle when given two angles of a triangle
[27]
12
4.G07.Identify points and rays when drawing angles
5.G04.Classify quadrilaterals by properties of their angles and sides
24
03
4.G06.Draw and identify intersecting, perpendicular, and parallel lines
5.G03.Identify the ratio of corresponding sides of similar triangles
2012
[46]
5.A02.Translate simple verbal expressions into algebraic expressions
5.A06.Evaluate the perimeter formula for given input values
2011
01
53
11, 28
19, 58
02
41
56
35, [42]
33
34
37
27
Trend Map Summary for Grade 5 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Measurement
Performance Indicators
5.M03.Measure to the nearest centimeter
2006
2007
2008
[34]
[27]
[33]
5.M04.Identify equivalent metric units of length
5.M05.Convert measurement within a given system
2009
2010
01
18
16
22
5.M06.Determine the tool and technique to measure with an appropriate
level of precision: lengths an
5.M07.Calculate elapsed time in hours and minutes
12
5.M08.Measure and draw angles using a protractor
23
[31]
10
21
[34]
12, [47]
50
[29]
[29]
[28]
26
60, [62]
12
5.M11.Justify the reasonableness of estimates
14
4.N08.Recognize and generate equivalent fractions (halves, fourths, thirds,
fifths, sixths, and tenths) us
07
4.N09.Use concrete materials and visual models to compare and order unit
fractions or fractions with the s
26
4.N10.Develop an understanding of decimals as part of a whole
11
4.N11.Read and write decimals to hundredths using money as a context
04
15
4.N19.Use a variety of strategies to multiply two-digit numbers by twodigit numbers (with and without reg
13
04
4.N23.Add and subtract proper fractions with common denominators
23
4.N24.Express decimals as an equivalent form of fractions to tenths and
hundredths
22
21
23
4.N25.Add and subtract decimals to tenths and hundredths using a
hundreds chart
08
5.N01.Read and write whole numbers to millions
19
02, 09
5.N02.Compare and order numbers to millions
5.N03.Understand the place value structure of the base ten number
system. . . Up to 1,000,000.
28, 38
30
5.M10.Determine personal references for metric units of length
Number
Sense/
Operations
2012
06
07
20
2011
15
01
16
40
04
20
01
5.N03.Understand the place value structure of the base ten number
system: 10 ones = 1 ten, 10 tens = 1 hun
04
52
5.N04.Create equivalent fractions, given a fraction
10
05
17
35
33
30
5.N05.Compare and order fractions including unlike denominators (with
and without the use of a number line
07
5.N07.Express ratios in different forms
21
5.N08.Read, write, and order decimals to thousandths
18
24
08
05, [32]
26
Trend Map Summary for Grade 5 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Number
Sense/
Operations
Performance Indicators
2006
2007
5.N09.Compare fractions using <, >, or =
2008
2009
20
5.N10.Compare decimals using <, >, or =
23
5.N11.Understand that percent means part of 100, and write percents as
fractions and decimals
06
5.N13.Calculate multiples of a whole number and the least common
multiple of two numbers
25
5.N14.Identify the factors of a given number
03
5.N15.Find the common factors and the greatest common factor of two
numbers
11
5.N16.Use a variety of strategies to multiply three-digit by three-digit
numbers Note: Multiplication by
5.N17.Use a variety of strategies to divide three-digit numbers by one- and
two-digit numbers Note: Divisi
09, 11, [31]
03, [30]
5.N21.Use a variety of strategies to add and subtract fractions with like
denominators
18
5.N22.Add and subtract mixed numbers with like denominators
14
5.N23.Use a variety of strategies to add, subtract, multiply, and divide
decimals to thousandths
08
5.N24.Round numbers to the nearest hundredth and up to 10,000
Statistics/
Probability
07
59
[48]
04
[68]
57
16
[29]
17
17
19
25
10
[43]
12
07
27
24
23
05
05
[61]
25, 42
25
08
01
13
17
19, [28]
10
21
40
31
07, [64]
13
23
23
[30]
5.N27.Justify the reasonableness of answers using estimation
29
4.S02.Collect data using observations, surveys, and experiments and
record appropriately
08
4.S04.Read and interpret line graphs
5.S02.Display data in a line graph to show an increase or decrease over
time
5.S03.Calculate the mean for a given set of data and use to describe a set
of data
21, 36
29, 31
01
5.N25.Estimate sums and differences of fractions with like denominators
5.N26.Estimate sums, differences, products, and quotients of decimals
2012
[31]
06, 13
5.N20.Convert improper fractions to mixed numbers, and mixed numbers
to improper fractions
2011
25
[27]
5.N18.Evaluate an arithmetic expression using order of operations
including multiplication, division, addi
5.N19.Simplify fractions to lowest terms
2010
15
02
[32]
19, [33]
18
19
22
20
06, [27]
08, 17
26
11
[33]
39, [49]
20
22
15
11
Trend Map Summary for Grade 5 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Statistics/
Probability
Performance Indicators
5.S04.Formulate conclusions and make predictions from graphs
2006
2007
[28]
2008
2009
[33]
2010
2011
2012
54, [66]
Trend Map Summary for Grade 6 Math
This page lists the number of times a question appeared under each standard and the percent of the test it makes up.
Test Name
Grade 6 Math
Standard
2006
2007
2008
2009
2010
2011
2012
Algebra
7/35 = 20%
5/35 = 14%
6/35 = 17%
7/35 = 20%
8/35 = 23%
7/50 = 14%
11/57 = 19%
Geometry
6/35 = 17%
5/35 = 14%
5/35 = 14%
6/35 = 17%
6/35 = 17%
9/50 = 18%
9/57 = 16%
Measurement
Number Sense/Operations
Statistics/Probability
Nov 16, 2012
4/35 = 11%
5/35 = 14%
4/35 = 11%
4/35 = 11%
4/35 = 11%
5/50 = 10%
6/57 = 11%
14/35 = 40%
14/35 = 40%
12/35 = 34%
12/35 = 34%
12/35 = 34%
21/50 = 42%
22/57 = 39%
4/35 = 11%
6/35 = 17%
8/35 = 23%
6/35 = 17%
5/35 = 14%
8/50 = 16%
9/57 = 16%
13
7:41:36 AM
Trend Map Summary for Grade 6 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Algebra
Performance Indicators
2006
5.A02.Translate simple verbal expressions into algebraic expressions
2007
2008
16
5.A03.Substitute assigned values into variable expressions and evaluate
using order of operations
23
5.A04.Solve simple one-step equations using basic whole-number facts
[30]
5.A05.Solve and explain simple one-step equations using inverse
operations involving whole numbers
[35]
24, [31]
6.A02.Use substitution to evaluate algebraic expressions (may include
exponents of one, two and three)
10
2010
07
12
01, [27]
11
03
[35]
[26],
[31],
[32]
04
24
13, [35]
[29]
6.A03.Translate two-step verbal sentences into algebraic equations
12
6.A04.Solve and explain two-step equations involving whole numbers
using inverse operations
Geometry
5.G12.Identify and plot points in the first quadrant
16, 18
19
02
[33]
5.G13.Plot points to form basic geometric shapes (identify and classify)
5.G14.Calculate perimeter of basic geometric shapes drawn on a
coordinate plane (rectangles and shapes com
6.G01.Calculate the length of corresponding sides of similar triangles,
using proportional reasoning
6.G02.Determine the area of triangles and quadrilaterals (squares,
rectangles, rhombi, and trapezoids) and
10
[28]
12, [28]
53
04, 21, 52,
[62]
21
05
05
08
33
23, 54, [66]
14
05
12, 33
[29]
02
35
16
15
10
34, [45]
09, [64]
04
23
27
51, [61]
22
[27]
07
22
20
17
23
22, 38
22
40, [68]
[26]
21
06, 21
[31]
09
6.G08.Calculate the area of a sector of a circle, given the measure of a
central angle and the radiu
6.G10.Identify and plot points in all four quadrants
07
29, [41]
03
20
6.G05.Identify radius, diameter, chords, and central angles of a circle
6.G07.Determine the area and circumference of a circle, using the
appropriate formula
17
18
6.G04.Determine the volume of rectangular prisms by counting cubes and
develop the formula
6.G06.Understand the relationship between the diameter and radius of a
circle
2012
[47]
6.A05.Solve simple proportions within context
6.A06.Evaluate formulas for given input values (circumference, area,
volume, distance, temperature, intere
2011
06, 14
[27]
6.A01.Translate two-step verbal expressions into algebraic expressions
2009
40, [50]
10
Trend Map Summary for Grade 6 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Performance Indicators
Geometry
6.G11.Calculate the area of basic polygons drawn on a coordinate plane
(rectangles and shapes composed of
Measurement
6.M01.Measure capacity and calculate volume of a rectangular prism
2006
2007
2008
2009
2010
[29]
07, [29]
[26]
[31]
[27]
07, 11
02, 13
19
01, 25
18, 25
03
23
10
18
13
08
[32]
26
36
06
01
05
01
05, [28]
24
[33]
20, [49]
[34]
[28]
[44]
6.N10.Verify the proportionality using the product of the means equals the
product of the extremes
14, [27]
[34]
[33]
09
[30]
[33]
20
03
19
6.N13.Define absolute value and determine the absolute value of rational
numbers (including positive and n
21
12, 25
6.N15.Order rational numbers (including positive and negative)
11
05
06
07, [63]
20
08, [46]
41, [67]
04
19
29
03
30
13
23
07
11
15
37
09
24
17, [26]
6.N16.Add and subtract fractions with unlike denominators
6.N18.Add, subtract, multiply, and divide mixed numbers with unlike
denominators
42, 50
31
01
6.N09.Solve proportions using equivalent fractions
6.N14.Locate rational numbers on a number line (including positive and
negative)
10
[34]
6.N07.Express equivalent ratios as a proportion
6.N12.Solve percent problems involving percent, rate, and base
24
01
09
6.N05.Define and identify the zero property of multiplication
6.N11.Read, write, and identify percents of a whole (0% to 100%)
25
19
6.N03.Define and identify the distributive property of multiplication over
addition
6.N04.Define and identify the identity and inverse properties of addition
and multiplication
11
[32]
6.N01.Read and write whole numbers to trillions
6.N02.Define and identify the commutative and associative properties of
addition and multiplication
39, [69]
18
6.M07.Estimate volume, area, and circumference (see figures identified in
geometry strand)
Number
Sense/
Operations
[43]
30
6.M04.Identify metric units of capacity (liter and milliliter)
6.M05.Identify equivalent metric units of capacity (milliliter to liter and liter
to milliliter)
2012
05
6.M02.Identify customary units of capacity (cups, pints, quarts, and
gallons)
6.M03.Identify equivalent customary units of capacity (cups to pints, pints
to quarts, and quarts to gallo
2011
57
16
32
03, 32
36
10, 56
Trend Map Summary for Grade 6 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Number
Sense/
Operations
Performance Indicators
6.N19.Identify the multiplicative inverse (reciprocal) of a number
2006
2007
17
2008
2009
2010
14
6.N20.Represent fractions as terminating or repeating decimals
08
15
6.N22.Evaluate numerical expressions using order of operations (may
include exponents of two and three)
15
24
6.N23.Represent repeated multiplication in exponential form
6.N25.Evaluate expressions having exponents where the power is an
exponent of one, two, or three
6.N26.Estimate a percent of quantity (0% to 100%)
02
18
[32]
19
[28]
5.S05.List the possible outcomes for a single-event experiment
5.S06.Record experiment results using fractions/ratios
22, [32]
28, 60
27, 59
13
[26]
02
04
12
21
19
16
[30]
04, [34]
03
25
22
06
06, [29]
[30]
08
22, [30]
12
15
08
13
14
6.S07.Read and interpret graphs
25
01, 35
23
28
21
16
11
39
24, 49, 55
14
02, 08, 11
37, [48]
31, 58
02
20
20
[31],
[33]
[34]
17, [35]
[65]
6.S09.List possible outcomes for compound events
[42]
6.S10.Determine the probability of dependent events
6.S11.Determine the number of possible outcomes for a compound event
by using the fundamental counting pri
17
26
6.S06.Determine the range for a given set of data
6.S08.Justify predictions made from data
34
15
04
[35]
5.S07.Create a sample space and determine the probability of a single
event, given a simple experiment (e.
6.S05.Determine the mean, mode and median for a given set of data
25
09
6.N27.Justify the reasonableness of answers using estimation (including
rounding)
Statistics/
Probability
2012
06
6.N21.Find multiple representations of rational numbers (fractions,
decimals, and percents 0 to 100)
6.N24.Represent exponential form as repeated multiplication
2011
38
09
Trend Map Summary for Grade 7 Math
This page lists the number of times a question appeared under each standard and the percent of the test it makes up.
Test Name
Grade 7 Math
Standard
2006
2007
2008
2009
2010
2011
2012
Algebra
4/38 = 11%
5/38 = 13%
6/38 = 16%
6/38 = 16%
6/38 = 16%
8/53 = 15%
6/55 = 11%
Geometry
7/38 = 18%
6/38 = 16%
5/38 = 13%
5/38 = 13%
5/38 = 13%
6/53 = 11%
8/55 = 15%
Measurement
Nov 16, 2012
6/38 = 16%
4/38 = 11%
6/38 = 16%
7/38 = 18%
4/38 = 11%
6/53 = 11%
7/55 = 13%
Number Sense/Operations
11/38 = 29%
12/38 = 32%
10/38 = 26%
10/38 = 26%
12/38 = 32%
16/53 = 30%
18/55 = 33%
Statistics/Probability
10/38 = 26%
11/38 = 29%
11/38 = 29%
10/38 = 26%
11/38 = 29%
17/53 = 32%
16/55 = 29%
17
7:41:36 AM
Trend Map Summary for Grade 7 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Algebra
Performance Indicators
2006
6.A02.Use substitution to evaluate algebraic expressions (may include
exponents of one, two and three)
6.A03.Translate two-step verbal sentences into algebraic equations
23
6.A04.Solve and explain two-step equations involving whole numbers
using inverse operations
6.A05.Solve simple proportions within context
7.A01.Translate two-step verbal expressions into algebraic expressions
08, 11, 14
2007
2008
2009
19
09
[33]
14
15
29
[34]
03
26
[32]
[32]
11
[33]
22
2010
2012
41
05
[63]
20
12
7.A02.Add and subtract monomials with exponents of one
06
44
7.A03.Identify a polynomial as an algebraic expression containing one or
more terms
04
26
7.A04.Solve multi-step equations by combining like terms, using the
distributive property, or moving varia
10
31
31
25
08
34
29, 38
7.A05.Solve one-step inequalities (positive coefficients only) (See 7.G10)
7.A06.Evaluate formulas for given input values (surface area, rate, and
density problems)
05
03, 13
[31]
7.A08.Create algebraic patterns using charts/tables, graphs, equations,
and expressions
Geometry
2011
45, [49]
6.G10.Identify and plot points in all four quadrants
07
01
6.G11.Calculate the area of basic polygons drawn on a coordinate plane
(rectangles and shapes composed of
30
04
17
28
12
26
7.G01.Calculate the radius or diameter, given the circumference or area of
a circle
19, 29
7.G02.Calculate the volume of prisms and cylinders, using a given formula
and a calculator
[32]
7.G03.Identify the two-dimensional shapes that make up the faces and
bases of three-dimensional shapes (pr
7.G04.Determine the surface area of prisms and cylinders, using a
calculator and a variety of methods
17
20
[35]
02, 17, 27
02, 05
[36]
[33]
30
40, [65]
06, 30
08
37
[38]
[48]
7.G05.Identify the right angle, hypotenuse, and legs of a right triangle
7.G07.Find a missing angle when given angles of a quadrilateral
07
06
[37]
39, [68]
7.G08.Use the Pythagorean Theorem to determine the unknown length of
a side of a right triangle
7.G09.Determine whether a given triangle is a right triangle by applying
the Pythagorean Theorem and using
21
12
[32]
[47]
Trend Map Summary for Grade 7 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Performance Indicators
Geometry
7.G10.Graph the solution set of an inequality (positive coefficients only) on
a number line (See 7.A.5)
Measurement
7.M02.Convert capacities and volumes within a given system
7.M03.Identify customary and metric units of mass
7.M04.Convert mass within a given system
7.M08.Draw central angles in a given circle using a protractor (circle
graphs)
2006
06, 16
2007
03, 06
02, 29
20
24, [35]
19
[34]
[37]
7.M09.Determine the tool and technique to measure with an appropriate
level of precision: mass
29
7.M11.Estimate surface area
7.M13.Justify the reasonableness of the mass of an object
Number
Sense/
Operations
2008
2009
09
7.N02.Recognize the difference between rational and irrational numbers
(e.g., explore different approximat
12
15
42
01
60
13
32
01
05
01
19
33, 35, 57
[34]
[52]
[66]
26
09
34
27
09
23
19
13
01
05
51
29
18
26
25
07
06
18
7.N06.Translate numbers from scientific notation into standard form
13
[32]
13
08
7.N07.Compare numbers written in scientific notation
28
18, [38]
26
02
7.N08.Find the common factors and greatest common factor of two or
more numbers
10
15
20
20
7.N09.Determine multiples and least common multiple of two or more
numbers
04
20
23
7.N10.Determine the prime factorization of a given number and write in
exponential form
7.N14.Develop a conceptual understanding of negative and zero
exponents with a base of ten and relat
15
28
7.N05.Write numbers in scientific notation
7.N13.Add and subtract two integers (with and without the use of a
number line)
2012
11, 24, [36]
7.N03.Place rational and irrational numbers (approximations) on a number
line and justify the placement of
7.N12.Add, subtract, multiply, and divide integers
2011
[35]
7.N01.Distinguish between the various subsets of real numbers
(counting/natural numbers, whole numbers, in
7.N11.Simplify expressions using order of operations Note: Expressions
may include absolute value and/or
2010
16
03, 09
01, 15, [33]
[34]
02
23
14
37
40
06, 25
24
[46]
28, 53
07
18
21, 30
[36]
[36]
11
58, [64]
11
14
07
27
04, 61
08
25
10, 23
09
28
24, 55
[31]
[31]
[35]
02
36
09, [69]
03
Trend Map Summary for Grade 7 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Number
Sense/
Operations
Performance Indicators
2006
2007
2008
7.N15.Recognize and state the value of the square root of a perfect square
(up to 225)
2009
2010
16
27
7.N17.Classify irrational numbers as non-repeating/non-terminating
decimals
7.N18.Identify the two consecutive whole numbers between which the
square root of a non-perfect square who
22
25
17
[38]
6.S03.Construct Venn diagrams to sort data
[37]
6.S04.Determine and justify the most appropriate graph to display a given
set of data (pictograph, bar gra
[31]
28
[38]
25
23
[31]
10
36
24
[33]
05
27
16, 19
7.S01.Identify and collect data using a variety of methods
08
7.S02.Display data in a circle graph
30
7.S03.Convert raw data into double bar graphs and double line graphs
7.S04.Calculate the range for a given set of data
[36]
05
13
14
18
03
7.S05.Select the appropriate measure of central tendency
7.S06.Read and interpret data represented graphically (pictograph, bar
graph, histogram, line graph, doubl
7.S09.Determine the validity of sampling methods to predict outcomes
[51]
20, [70]
17
23
16
07, 21
7.S07.Identify and explain misleading statistics and graphs
7.S08.Interpret data to provide the basis for predictions and to establish
experimental probabilities
10
[53]
24
12
[35]
[34]
6.S10.Determine the probability of dependent events
6.S11.Determine the number of possible outcomes for a compound event
by using the fundamental counting pri
32
[37]
6.S02.Record data in a frequency table
6.S09.List possible outcomes for compound events
2012
38
7.N19.Justify the reasonableness of answers using estimation
Statistics/
Probability
2011
01, 04,
22
08, 21
04, 15
11
04, 10, 12,
22, [50]
02, 22, 62
22
12
22
43
52, 54, [71]
07
30
42
03
21
33, 35
27, 59
14
29, 39
56, [67]
[37]
26, [38]
24
30
41
17
28
7.S10.Predict the outcome of an experiment
21
10, 18
7.S12.Compare actual results to predicted results
27
16
21, 25
Trend Map Summary for Grade 8 Math
This page lists the number of times a question appeared under each standard and the percent of the test it makes up.
Test Name
Grade 8 Math
Nov 16, 2012
Standard
2006
2007
2008
2009
2010
2011
2012
Algebra
20/45 = 44%
21/45 = 47%
19/45 = 42%
17/45 = 38%
19/45 = 42%
24/54 = 44%
24/55 = 44%
Geometry
14/45 = 31%
14/45 = 31%
18/45 = 40%
20/45 = 44%
16/45 = 36%
19/54 = 35%
22/55 = 40%
Measurement
6/45 = 13%
5/45 = 11%
4/45 = 09%
4/45 = 09%
5/45 = 11%
4/54 = 07%
5/55 = 09%
Number Sense/Operations
5/45 = 11%
5/45 = 11%
4/45 = 09%
4/45 = 09%
5/45 = 11%
7/54 = 13%
4/55 = 07%
21
7:41:36 AM
Trend Map Summary for Grade 8 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Algebra
Performance Indicators
7.A02.Add and subtract monomials with exponents of one
2006
2007
2008
2009
2010
06
03
20
01
01
7.A03.Identify a polynomial as an algebraic expression containing one or
more terms
7.A04.Solve multi-step equations by combining like terms, using the
distributive property, or moving varia
24
11, 18, 24, [31],
[38], [41]
7.A07.Draw the graphic representation of a pattern from an equation or
from a table of data
05,
[30],
[45]
16
[32]
[33]
7.A08.Create algebraic patterns using charts/tables, graphs, equations,
and expressions
8.A01.Translate verbal sentences into algebraic inequalities
8.A02.Write verbal expressions that match given mathematical expressions
2012
19, 21
06, [32], [45]
09, [34]
[35]
[32]
7.A09.Build a pattern to develop a rule for determining the sum of the
interior angles of polygons
7.A10.Write an equation to represent a function from a table of values
2011
21
16, 23, [33], [42]
21,
[38],
[40]
15, 22, 26
14, 26,
[33]
19
8.A03.Describe a situation involving relationships that matches a given
graph
13
8.A04.Create a graph, given a description or an expression for a situation
involving a linear or nonlinear
[30]
08
02, 18
14
[39]
07, 11, [40]
[34]
24, [29]
05
25
33, [52]
09, 56, 58
03
06, 40
23, 35
09, 14
21
19, [43]
05
02, [45]
39
8.A06.Multiply and divide monomials
07
10, 17
19, [30]
[36]
17, [41]
08
28, 33
8.A07.Add and subtract polynomials (integer coefficients)
09
12, 23
27, [35]
[38]
10, [37]
12, 18
03, 26, 41
8.A08.Multiply a binomial by a monomial or binomial (integer coefficients)
05
20, 24
05, 11
10
07
16, 21
8.A09.Divide a polynomial by a monomial (integer coefficients) Note: The
degree of the denominator is less
8.A10.Factor algebraic expressions using the GCF
01
23
25, [50]
25, 52, [63]
26
[47]
08, 60
22
28
42, 54, [65]
38
05
[49]
[67], [71]
8.A11.Factor a trinomial in the form ax²+bx+c; a=1 and c having no more
than 3 sets of factors
8.A12.Apply algebra to determine the measure of angles formed by or
contained in parallel lines cut by a t
8.A13.Solve multi-step inequalities and graph the solution set on a number
line
[36]
[39],
[43]
[31],
[44]
16
11, [54]
Trend Map Summary for Grade 8 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Algebra
Performance Indicators
2006
2007
2009
2010
8.A14.Solve multi-step equations by combining like terms, using the
distributive property, or moving varia
8.A16.Find a set of ordered pairs to satisfy a given linear numerical pattern
(expressed algebraically); t
Geometry
2008
[28]
7.G05.Identify the right angle, hypotenuse, and legs of a right triangle
7.G08.Use the Pythagorean Theorem to determine the unknown length of
a side of a right triangle
7.G09.Determine whether a given triangle is a right triangle by applying
the Pythagorean Theorem and using
8.G01.Identify pairs of vertical angles as congruent
8.G02.Identify pairs of supplementary and complementary angles
8.G03.Calculate the missing angle in a supplementary or complementary
pair
27, [32]
8.G12.Identify the properties preserved and not preserved under a
reflection, rotation, translation, and d
08
43
31
04
01
10
15, 16
09, 22
03, 25
25
13, [45]
24
04, 07,
[30]
09
15, [37]
09, 13
14
23, 26, [44]
04, 59
[28]
03
02, 05, 23, [29],
[34], [39]
02, 11
30, 41
20, 27, 55
[36]
04, [34]
17, 20, [28]
20
01, [29]
[32]
12
36
53, [70]
17
[43]
04
24
[33]
[48]
61
15
02
20, [29]
08, 21, [43]
8.G09.Draw the image of a figure under a reflection over a given line
8.G11.Draw the image of a figure under a dilation
06
08, 27
01, 42
[40]
8.G08.Draw the image of a figure under rotations of 90 and 180 degrees
8.G10.Draw the image of a figure under a translation
03, 26
2012
02, 17
8.G06.Calculate the missing angle measurements when given two
intersecting lines and an angle
8.G07.Describe and identify transformations in the plane, using proper
function notation (rotations, refle
06
25, [36]
[35]
8.G04.Determine angle pair relationships when given two parallel lines cut
by a transversal
8.G05.Calculate the missing angle measurements when given two parallel
lines cut by a transversal
06, 18,
[42]
[44]
2011
[44]
[37]
[37]
15, [41]
[33]
[41]
[38]
07
01, 34, 57
[35]
37
22, 29, 37
[42]
[43]
26
31, 40, 51
07, 62
[43]
15
35
8.G13.Determine the slope of a line from a graph and explain the meaning
of slope as a constant rate
19
8.G15.Graph a line using a table of values
20
8.G16.Determine the equation of a line given the slope and the y-intercept
10
8.G19.Graph the solution set of an inequality on a number line
27
8.G20.Distinguish between linear and nonlinear equations ax²+bx+c; a=1
(only graphically)
34
32
Trend Map Summary for Grade 8 Math
This page lists the number of each question that appeared for each Performance Indicator tested.
[] - Brackets mean question is Constructed Response
Standard
(Strand)
Performance Indicators
2006
2007
2008
Geometry
8.G21.Recognize the characteristics of quadratics in tables, graphs,
equations, and situations
Measurement
7.M01.Calculate distance using a map scale
14, [30]
07, 27
12, 21
7.M05.Calculate unit price using proportions
[40]
19
[42]
7.M06.Compare unit prices
[34]
[35]
Number
Sense/
Operations
2010
2011
18, 22, 25
18, 23
16
[37]
[39]
22
[38]
12, [45]
[42]
22
8.N01.Develop and apply the laws of exponents for multiplication and
division
04, [44]
8.N02.Evaluate expressions with integral exponents
[31]
32, [53]
06, 30, 38,
[66], [68]
[36]
13, [51]
10
11
36, [64]
8.N03.Read, write, and identify percents less than 1% and greater than
100%
24
8.N04.Apply percents to: Tax, Percent increase/decrease, Simple interest,
Sale price, Commission, Interest
8.N04.Apply percents to: Tax, percent increase/decrease, simple interest,
sale price, commission, interest
8.N05.Estimate a percent of a quantity, given an application
8.N06.Justify the reasonableness of answers using estimation
2012
39
7.M07.Convert money between different currencies with the use of an
exchange rate table and a calculator
8.M01.Solve equations/proportions to convert to equivalent measurements
within metric and customary measur
2009
[69]
04, [28], [39]
02, 08,
[31]
10,
[29],
[40]
[31]
27, [28]
03, 29, [46]
13
[41]
14
12
13
17
[44]
[45]