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Standard No.
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Standard Language
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Publisher Citations
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ALGEBRA
I
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Primary Citations
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Supporting Citations
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A.1.A
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Describe
independent and dependent quantities in functional relationships.
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6.01
to 6.04
6.06
to 6.10
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6.05
6.13
to 6.14
6.33
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A.1.B
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Gather
and record data and use data sets to determine functional relationships
between quantities.
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6.07
6.09
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6.01 to
6.06
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A.1.C
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Describe
functional relationships for given problem situations and write equations or
inequalities to answer questions arising from the situations.
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10.38
to 10.39
8.10
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8.11
to 8.12
8.31
10.41
to 10.42
10.85
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A.1.D
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Represent
relationships among quantities using concrete models, tables, graphs,
diagrams, verbal descriptions, equations, and inequalities.
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3.08
to 3.09
3.45
to 3.47
3.51
to 3.53
4.06
5.01
5.13
to 5.15
5.58
to 5.61
6.01
to 6.04
6.07
to 6.09
8.02
8.13
to 8.14
8.16
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3.10
to 3.12
3.48
to 3.50
3.54
to 3.55
3.61
5.02
to 5.07
5.65
6.05
6.13
to 6.14
6.33
8.15
8.17
to 8.22
8.40
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A.1.E
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Interpret
and make decisions, predictions, and critical judgments from functional
relationships.
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6.06
6.10
to 6.11
6.15
6.17
to 6.19
6.27
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6.16
6.20
to 6.21
6.28
6.31
to 6.33
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A.2.A
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Identify and sketch the general forms of linear (y = x) and
quadratic ( y = x2) parent functions.
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5.15
5.20
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5.13
5.65
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A.2.B
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Identify mathematical domains and ranges and determine
reasonable domain and range values for given situations, both continuous and
discrete.
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6.01
6.06
6.10
6.12
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6.13
to 6.14
6.33
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A.2.C
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Interpret situations in terms of given graphs or creates
situations that fit given graphs.
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5.14
5.35
5.54
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5.39
to 5.40
5.65
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A.2.D
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Collect
and organize data, make and interpret scatterplots (including recognizing
positive, negative, or no correlation for data approximating linear
situations), and model, predict, and make decisions and critical judgments in
problem situations.
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4.01
to 4.08
5.58
to 5.62
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4.09
to 4.11
4.22
5.63
to 5.65
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A.3.A
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Use
symbols to represent unknowns and variables.
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1.01
to 1.03
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1.10
to 1.11
1.39
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A.3.B
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Look
for patterns and represent generalizations algebraically.
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1.17
to 1.18
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1.19
to 1.22
1.39
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A.4.A
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Find
specific function values, simplify polynomial expressions, transform and
solve equations, and factor as necessary in problem situations.
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5.08
to 5.10
6.04
6.08
to 6.09
10.14 to
10.17
10.20
to 10.25
10.29
to 10.32
10.35
to 10.40
10.51
to 10.61
10.64
to 10.67
10.71
to 10.72
10.75
to 10.76
10.80
to 10.82
11.07
11.43
to 11.44
11.47
12.04
12.09
to 12.11
13.03
to 13.10
13.13
to 13.18
13.21
to 13.24
13.27
to 13.29
13.33
to 13.35
13.39
to 13.42
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5.11
to 5.12
6.05
6.10
6.33
10.18
to 10.19
10.26
to 10.28
10.33
to 10.34
10.41
to 10.42
10.62
to 10.63
10.68
to 10.70
10.73
to 10.74
10.77
to 10.85
11.49
to 11.51
12.07
to 12.08
13.11
to 13.12
13.19
to 13.20
13.25
to 13.26
13.36
to 13.38
13.43 to
13.45
13.63
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A.4.B
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Use
the commutative, associative, and distributive properties to simplify
algebraic expressions.
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1.07
to 1.08
2.44
to 2.46
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1.10
to 1.11
1.39
2.47
to 2.48
2.55
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A.4.C
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Connect
equation notation with function notation, such as y = x + 1 and f(x) = x + 1.
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6.06
to 6.08
6.10
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6.13
to 6.14
6.33
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A.5.A
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Determine whether or not given situations can be represented by
linear functions.
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5.50
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5.02
to 5.03
5.14
to 5.15
5.51
5.65
6.10
6.33
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A.5.B
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Determine the domain and range for linear functions in given
situations.
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6.01
6.06
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6.13
to 6.14
6.33
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A.5.C
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Use,
translate, and make connections among algebraic, tabular, graphical, or
verbal descriptions of linear functions.
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6.01
to 6.02
6.04
6.07
to 6.08
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6.03
6.05
6.13
to 6.14
6.33
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A.6.A
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Develop
the concept of slope as rate of change and determine slopes from graphs,
tables, and algebraic representations.
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5.23
to 5.24
5.27
to 5.28
5.30
5.36
5.50
5.52
5.55
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5.39
to 5.40
5.51
5.53
to 5.54
5.56
to 5.57
5.65
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A.6.B
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Interpret
the meaning of slope and intercepts in situations using data, symbolic
representations, or graphs.
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5.23
to 5.24
5.27
to 5.29
5.50
5.55
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5.51
to 5.54
5.56
to 5.57
5.65
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A.6.C
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Investigate, describe, and predict the effects of change in m
and b on the graph of y = mx + b.
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5.28
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5.27
5.29
5.30
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A.6.D
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Graph and write equations of lines given characteristics such as
two points, a point and a slope, or a slope and y-intercept.
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5.30
5.32
to 5.34
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5.38
to 5.40
5.65
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A.6.E
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Determine the intercepts of the graphs of linear functions and
zeros of linear functions from graphs, tables, and algebraic representations.
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5.30
5.32
5.41
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5.38
to 5.40
5.65
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A.6.F
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Interpret
and predict the effects of changing slope and y-intercept in applied
situations.
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5.32
5.35
to 5.36
5.38
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5.39
to 5.40
5.65
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A.6.G
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Relate direct variations to linear functions and solve problems
involving proportional change.
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6.15
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6.16
6.20
to 6.21
6.33
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A.7.A
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Analyze situations involving linear functions and formulate
linear equations or inequalities to solve problems.
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3.30
3.32
3.34
to 3.35
3.41
3.45
to 3.47
3.51
to 3.53
6.16
8.09
to 8.10
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3.33
3.36
to 3.37
3.40
3.42
to 3.44
3.48
to 3.50
3.54
to 3.55
3.61
6.20
to 6.21
6.33
8.11
to 8.12
8.40
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A.7.B
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Investigate
methods for solving linear equations and inequalities using concrete models,
graphs, and the properties of equality, select a method, and solve the
equations and inequalities.
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3.02
3.05
to 3.09
3.13
to 3.18
3.30
3.34
to 3.35
3.41
3.45
to 3.47
3.51
to 3.53
8.01
to 8.04
8.06
to 8.10
8.13
to 8.14
8.16
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3.03
3.11
to 3.12
3.19
to 3.20
3.37
to 3.39
3.49
to 3.50
3.54
to 3.55
3.61
8.05
8.11
to 8.12
8.15
8.17
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A.7.C
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Interpret and determine the reasonableness of solutions to
linear equations and inequalities.
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3.41
8.35
to 8.37
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8.40
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A.8.A
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Analyze situations and formulate systems of linear equations in
two unknowns to solve problems.
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7.06
to 7.10
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7.02
to 7.04
7.47
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A.8.B
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Solve systems of linear equations using concrete models, graphs,
tables, and algebraic methods.
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7.01
to 7.02
7.05
to 7.07
7.12
to 7.19
7.22
to 7.25
7.32
to 7.34
7.37
to 7.45
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7.03
to 7.04
7.08
to 7.10
7.20
to 7.21
7.26
to 7.31
7.35
to 7.36
7.46
to 7.47
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A.8.C
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Interpret and determine the reasonableness of solutions to
systems of linear equations.
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7.02
7.06
7.10
7.17
7.23
to 7.25
7.33
7.45
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7.03
to 7.04
7.08
to 7.09
7.26
to 7.28
7.30
to 7.31
7.35
to 7.36
7.46
to 7.47
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A.9.A
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Determine the domain and range for quadratic functions in given
situations.
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6.10
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6.13
to 6.14
6.33
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A.9.B
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Investigate, describe, and predict the effects of changes in a
on the graph y = ax2 + c.
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13.48
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13.46
13.53
to 13.54
13.63
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A.9.C
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Investigate, describe, and predict the effects of changes in c
on the graph of y = ax2 + c.
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13.46
13.48
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13.53
to 13.54
13.63
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A.9.D
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Analyze graphs of quadratic functions and draw conclusions.
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6.10
13.46
to 13.51
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13.53 to 13.54
13.63
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A.10.A
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Solve quadratic equations using concrete models, tables, graphs,
and algebraic methods.
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13.03 to 13.10
13.13 to 13.18
13.21 to 13.24
13.27 to 13.35
13.45 to 13.48
13.52
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13.11 to 13.12
13.19 to 13.20
13.25 to 13.26
13.36 to 13.38
13.49
13.53 to 13.54
13.63
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A.10.B
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Make connections among the solutions (roots) of quadratic
equations, the zeros of their related functions, and the horizontal
intercepts (x-intercepts) of the graph of the function.
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13.48 to 13.50
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13.53 to 13.54
13.63
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A.11.A
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Use patterns to generate the laws of exponents and apply them in
problem-solving situations.
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9.01 to 9.09
9.12 to 9.20
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9.10 to 9.11
9.21 to 9.23
9.39
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A.11.B
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Analyze data and represent situations involving inverse
variation using concrete models, tables, graphs, or algebraic methods.
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6.17 to 6.18
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6.20 to 6.21
6.33
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A.11.C
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Analyze data and represent situations involving exponential
growth and decay using concrete models, tables, graphs, or algebraic methods.
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