Tang Math

Identify gaps in foundational Grade K math skills for students entering Grade 1. This diagnostic assesses counting and number sequencing forward to 100 and backward from 10, subitizing and representing quantities using ten frames, and writing and comparing numbers to 20. It covers part-total reasoning through number bonds and equations, including finding unknown totals and missing parts, as well as modeling combinations of 10. The four standard Kindergarten story-problem types are assessed: add-to, put-together, take-from, and take-apart, alongside early geometry concepts including identifying and comparing defining attributes of 2D and 3D shapes. Additional items cover measuring and comparing lengths using non-standard units and counting objects around shapes to set the foundation for perimeter in the grades ahead.

Grade K
Summative

Grade 1
Readiness

Versions A and B below are parallel assessments with identical structure and skill targets, but different numbers and contexts in each problem, allowing one to be used as a pre-test to drive intervention and the other to be used as a post-test to verify retention. Each question maps to a source lesson, the corresponding common core standards, and a set of prescribed backfill lessons, ensuring clear and straightforward remediation.

Version A:

Version B:

Source Lesson	Domain	Backfill Lessons
1 Count Forward to 10 ^K-65	K.CC	0-20, 0-22, 0-63, 0-64, 0-65
2 Count Backward from 10 ^K-66	K.CC	0-23, 0-39, 0-66
3 Match Quantities to 5 with Coins & Digits ^K-19	K.CC	0-17, 0-18, 0-19
4 Number Zero ^K-24	K.CC, K.CC	0-24
5 Quantify and Compare Numbers using Ten Frames ^K-62	K.CC, K.CC	0-59, 0-62
6 Subitize Numbers to 10 with Ten Frames: Part II ^K-68	K.CC, K.OA	0-25, 0-26, 0-68
7 Compare and Quantify Groups to 10 with Linear Models ^K-100	K.CC, K.CC	0-99, 0-100
8 Count and Write Consecutive Numbers ^K-111	K.CC	0-103, 0-111
9 Model Numbers with Vertical Ten Frames & Number Bonds ^K-112	K.NBT	0-112
10 Numbers to 50 - Count All and Count On by 1s ^K-113	K.CC	0-109, 0-113
11 Numbers to 100 - Count All and Count On by 1s ^K-116	K.CC	0-116
12 Numbers to 100 - Count All by 10s ^K-117	K.CC	0-114, 0-117
13 Compare How Many More or Fewer with Linear Models ^K-107	K.CC, K.CC	0-104, 0-107
14 Compare How Many More or Fewer with Ten Frames ^K-108	K.CC, K.CC	0-102, 0-108
15 Number Bonds using the Shift 1 Strategy ^K-74	K.OA	0-56, 0-74
16 Find the Total using Number Bonds & Ten Frames ^K-79	K.OA	0-28, 0-30, 0-79
17 Model Combinations of 10 with 3 Parts ^K-76	K.MD	0-75, 0-76
18 Find the Total using Equations & Ten Frames ^K-80	K.OA	0-33, 0-80
19 Find the Missing Part with Equations & Ten Frames ^K-87	K.OA	0-29, 0-86, 0-87
20 Find the Unknown Part with Number Bonds ^K-91	K.OA	0-40, 0-90, 0-91
21 Find the Unknown Part with Equations ^K-92	K.OA	0-42, 0-92
22 Identify Defining Attributes of 2D & 3D Shapes ^K-123	K.G, K.G	0-2, 0-3, 0-121, 0-123
23 Compare Defining Attributes of 2D & 3D Shapes ^K-124	K.G, K.G	0-124
24 Add-To Result-Unknown Story Problems ^K-84	K.OA	0-49, 0-84
25 Put-Together Total-Unknown Story Problems ^K-85	K.OA	0-51, 0-85
26 Take-From Story Problems ^K-97	K.OA	0-54, 0-97
27 Take-Apart Story Problems ^K-98	K.OA	0-57, 0-98
28 Measure and Compare the Lengths of 2 Bars ^K-70	K.MD	0-69, 0-70, 0-71
29 Perimeter of Shapes - Count & Measure ^K-73	K.CC, K.G	0-72, 0-73
30 Apply the Meaning of Equal to Length ^K-131	K.MD	0-131

Identify gaps in foundational Grade 1 math skills for students entering Grade 2. This diagnostic assesses place value and expanded form to 100 using ten frames, base-10 blocks, and base-10 discs, along with number shifting and comparing numbers to 20. It covers addition and subtraction within 10 and 20, including total-, change-, and start-unknown structures, as well as adding and subtracting multiples of 10 and two-digit addition and subtraction with regrouping. Word problems include add-to, take-from, and comparison types with difference- and smaller-unknown variations. The assessment also evaluates understanding of unit fractions using bars and circles, comparing fraction sizes, measuring and comparing lengths from any starting point, telling time to the whole and half hour, identifying defining attributes of 2D shapes, and composing and decomposing shapes.

Grade 1
Summative

Grade 2
Readiness

Versions A and B below are parallel assessments with identical structure and skill targets, but different numbers and contexts in each problem, allowing one to be used as a pre-test to drive intervention and the other to be used as a post-test to verify retention. Each question maps to a source lesson, the corresponding common core standards, and a set of prescribed backfill lessons, ensuring clear and straightforward remediation.

Version A:

Version B:

Source Lesson	Domain	Backfill Lessons
1 Expanded Form to 100 with Ten Frames ^1-95	1.NBT	1-37, 1-88, 1-95
2 Expanded Form to 100 with Base 10 Blocks ^1-97	1.NBT	1-90, 1-97
3 Expanded Form to 100 with Base 10 Discs ^1-99	1.NBT	1-93, 1-99
4 Shift 10 with Number Bonds ^1-103	1.NBT	1-102, 1-103
5 Quantify and Compare Teen Numbers using Linear Models ^1-34	1.MD	1-32, 1-34
6 Quantify & Compare Numbers to 20 using Base 10 Blocks ^1-39	1.NBT	1-25, 1-36, 1-39
7 Add within 10 Total-Unknown ^1-16	1.OA	0-28, 0-74, 0-79, 0-80
8 Add within 10 Change-Unknown & Start-Unknown ^1-18	1.OA	0-86, 0-87, 1-18
9 Balance Equations - Add within 10 ^1-23	1.OA, 1.OA	0-35, 0-88, 1-23
10 Master all Make 10 Addition Strategies ^1-45	1.OA	0-68, 0-109, 1-41, 1-42, 1-43, 1-44
11 Add Multiples of 10 ^1-112	1.NBT	0-117, 1-112
12 Add within 100: Regrouping ^1-117	1.NBT	1-108, 1-111, 1-112, 1-115, 1-116, 1-117
13 Add within 100: Regrouping ^1-117	1.NBT	1-108, 1-111, 1-112, 1-115, 1-116, 1-117
14 Subtract within 10 Result-Unknown ^1-19	1.OA	0-43, 0-90, 0-91, 1-19
15 Subtract within 10 Change-Unknown & Start-Unknown ^1-21	1.OA	1-21
16 Subtract within 10 Change-Unknown & Start-Unknown ^1-21	1.OA	1-21
17 Master all Subtract within 20 Strategies ^1-60	1.OA, 1.OA	1-56, 1-57, 1-58, 1-59, 1-60
18 Subtract Multiples of 10 ^1-118	1.NBT	1-118
19 Subtract 10 from a 2-Digit Number ^1-119	1.NBT	1-119
20 Add-To Start-Unknown Word Problems ^1-66	1.OA	0-49, 0-51, 0-84, 0-85, 1-27, 1-28
21 Take-From Change-Unknown Word Problems ^1-70	1.OA	0-54, 0-57, 0-97, 0-98, 1-29, 1-30
22 Comparison Difference-Unknown Word Problems ^1-73	1.OA	1-73
23 Comparison Smaller-Unknown Word Problems ^1-75	1.OA	1-74, 1-75
24 Model Unit Fractions with Bars ^1-82	1.G	1-77, 1-79, 1-82
25 Model Unit Fractions with Circles ^1-84	1.G	1-80, 1-81, 1-83, 1-84
26 Compare Unit Fractions ^1-85	1.MD	1-78, 1-85
27 Measure and Compare Lengths from Any Starting Point ^1-123	1.MD, 1.MD	0-69, 1-121, 1-122, 1-123
28 Tell Time - Whole Hours & Half-Hours ^1-132	1.MD	1-130, 1-131, 1-132
29 Defining Attributes of 2D Shapes ^1-134	1.G	0-123, 0-129, 1-134
30 Compose & Decompose 2D Shapes ^1-135	1.G	0-2, 0-121, 0-122, 0-130, 1-135

Identify gaps in foundational Grade 2 math skills for students entering Grade 3. This diagnostic assesses early multiplication concepts including equal groups, arrays, and rectangular area using counters and unit squares. It covers place value to 1,000 and comparing two- and three-digit numbers using number bonds. Addition and subtraction extend to double- and triple-digit numbers with regrouping, including adding three two-digit addends and applying the Shift 100 & 10 strategy. Word problems include add-to, put-together, take-from, take-apart, comparison, and multi-step types. The assessment also covers comparing unit fractions, modeling proper fractions flexibly with non-congruent parts, measuring lengths in centimeters, reading number lines, adding and comparing groups of coins, telling time to the nearest five minutes, and reading horizontal bar graphs.

Grade 2
Summative

Grade 3
Readiness

Versions A and B below are parallel assessments with identical structure and skill targets, but different numbers and contexts in each problem, allowing one to be used as a pre-test to drive intervention and the other to be used as a post-test to verify retention. Each question maps to a source lesson, the corresponding common core standards, and a set of prescribed backfill lessons, ensuring clear and straightforward remediation.

Version A:

Version B:

Source Lesson	Domain	Backfill Lessons
1 Model Equal Groups with Bar Models ^2-18	2.OA	2-17, 2-18
2 Model Arrays with Counters ^2-19	2.OA	2-19
3 Model Arrays with Unit Squares ^2-20	2.OA, 2.G	2-20
4 Model Arrays with Unit Cubes ^2-21	2.OA	2-21
5 Place Value to 1,000 with Number Bonds ^2-77	2.NBT, 2.NBT	1-95, 1-106, 2-76, 2-77
6 Compare 2-Digit Numbers: Unambiguous Tens & Ones ^2-74	2.NBT	1-99, 2-71, 2-72, 2-73, 2-74
7 Compare 3-Digit Numbers ^2-78	2.NBT, 2.NBT	2-78
8 Shift 100 & 10 to Regroup using Number Bonds ^2-82	2.NBT	1-102, 2-79, 2-80, 2-81, 2-82
9 Add Double-Digit Numbers with Regrouping ^2-26	2.NBT	1-45, 1-112, 1-114, 1-115, 2-25, 2-26
10 Add Double-Digit Numbers with Regrouping ^2-26	2.NBT	1-45, 1-112, 1-114, 1-115, 2-25, 2-26
11 Add 3 2-Digit Addends ^2-88	2.NBT, 2.NBT	2-84, 2-87, 2-88
12 3-Digit Addends: Shift 100 & 10 ^2-95	2.NBT	2-91, 2-92, 2-93, 2-94, 2-95
13 Subtract using the Make 10s Strategy ^2-31	2.NBT	1-57, 2-29, 2-30, 2-31
14 Subtract Multiples of 10 ^2-32	2.NBT, 2.NBT	2-32
15 Subtract Double-Digit Numbers with Regrouping using Number Bonds ^2-35	2.NBT	1-103, 1-108, 2-33, 2-34, 2-35
16 3-Digit Subtrahends: Shift 100 & 10 ^2-106	2.NBT	2-103, 2-104, 2-105, 2-106
17 Add-To or Put-Together Word Problems ^2-39	2.OA, 2.NBT	0-49, 0-85, 1-27, 1-28, 2-39
18 Take-From or Take-Apart Word Problems ^2-43	2.OA, 2.NBT	0-54, 0-98, 1-29, 1-30, 2-43
19 Comparison Word Problems ^2-52	2.OA	2-44, 2-45, 2-50, 2-51, 2-52
20 Unscaffolded Join & Separate Word Problems ^2-67	2.OA, 2.NBT	1-69, 1-74, 2-63, 2-67
21 Unscaffolded Total-Unknown Word Problems (Part I) ^2-69	2.OA	2-64, 2-65, 2-66, 2-68, 2-69
22 Compare Unit Fractions using Rods & Bar Models ^2-54	2.G	2-53, 2-54
23 Model Proper Fractions Flexibly ^2-56	2.G	2-55, 2-56
24 Reason About Fractions with Non-Congruent Parts ^2-62	2.G	2-57, 2-58, 2-60, 2-61, 2-62
25 Measure and Compare Lengths in Centimeters ^2-114	2.MD, 2.MD	1-121, 2-113, 2-114
26 Number Lines - Read and Represent Length ^2-120	2.MD	1-123, 2-120
27 Money - Add & Compare Groups of Coins ^2-124	2.MD	2-123, 2-124
28 Tell Time to the Nearest 5 Minutes ^2-126	2.MD	1-130, 1-131, 1-132, 2-125, 2-126
29 Defining Attributes of 2D Shapes ^2-134	2.G	0-123, 1-134, 2-134
30 Horizontal Bar Graphs within 20 ^2-131	2.MD	2-128, 2-129, 2-130, 2-131

Identify gaps in foundational Grade 3 math skills for students entering Grade 4. This diagnostic assesses place value to 10,000, including expanded form, renaming hundreds, rounding three-digit numbers to the nearest ten, and three-digit addition and subtraction with regrouping. It covers fluent multiplication from 2 to 10 groups, area of rectangles, and multiplication with regrouping using number bonds. Division includes both partitioning and sharing strategies with regrouping. Word problems range from one- and two-step problems to equal groups and combined perimeter and area tasks. The assessment also covers fractions of fractions, improper fractions, comparing fractions with equal denominators, scaled bar graphs, line plots to the nearest halves and fourths, time to the nearest minute, elapsed time bridging the hour, and classifying shapes by category.

Grade 3
Summative

Grade 4
Readiness

Versions A and B below are parallel assessments with identical structure and skill targets, but different numbers and contexts in each problem, allowing one to be used as a pre-test to drive intervention and the other to be used as a post-test to verify retention. Each question maps to a source lesson, the corresponding common core standards, and a set of prescribed backfill lessons, ensuring clear and straightforward remediation.

Version A:

Version B:

Source Lesson	Domain	Backfill Lessons
1 Place Value to 10,000: Expanded Form* ^3-26	4.NBT	1-105, 2-76, 2-77, 3-26
2 Place Value to 1,000: Rename Hundreds as Tens ^3-22	3.NBT, 3.NBT	2-79, 2-80, 2-82, 3-22
3 Rounding 3-Digit Numbers to the Nearest Ten ^3-24	3.NBT	3-23, 3-24
4 3-Digit Addends: Shift 100 & 10 ^2-95	2.NBT	2-91, 2-92, 2-93, 2-94, 2-95
5 3-Digit Subtrahends: Shift 100 & 10 ^2-106	2.NBT	2-103, 2-104, 2-105, 2-106
6 Multiply 2-5 Groups Fluently with Equations ^3-33	3.OA, 3.OA	3-28, 3-29, 3-30, 3-31, 3-32, 3-33
7 Multiply 2-5 Groups Fluently with Equations ^3-33	3.OA, 3.OA	3-28, 3-29, 3-30, 3-31, 3-32, 3-33
8 Multiply 6-10 Groups using Mental Math ^3-46	3.OA, 3.OA	3-40, 3-41, 3-42, 3-43, 3-45, 3-46
9 Multiply 6-10 Groups using Mental Math ^3-46	3.OA, 3.OA	3-40, 3-41, 3-42, 3-43, 3-45, 3-46
10 Multiply to find Area of Rectangles ^3-99	3.MD	3-90, 3-91, 3-99
11 Multiply to 100: Number Bonds ^3-108	3.OA, 3.OA	3-106, 3-107, 3-108
12 Divide-by-Grouping Partitioning Rectangles ^3-96	3.MD, 3.G	3-89, 3-93, 3-96
13 Divide-by-Sharing Fluently ^3-59	3.OA	1-102, 3-45, 3-57, 3-58
14 Divide-by-Sharing Fluently ^3-59	3.OA	1-102, 3-45, 3-57, 3-58
15 Divide-by-Grouping Fluently ^3-71	3.OA	1-103, 3-46, 3-69, 3-70
16 Divide to 100 with Regrouping: Number Bonds & Equations ^3-112	3.OA, 3.OA	3-109, 3-110, 3-111, 3-112
17 1-Step Word Problems to 1,000: Larger-Unknown ^3-17	2.OA, 3.NBT	2-50, 2-51, 3-16, 3-17
18 2-Step Word Problems to 1,000: Join & Separate ^3-19	2.OA, 3.OA	1-69, 1-74, 2-63, 2-67, 3-19
19 2-Step Word Problems to 1,000: Difference-Unknown ^3-20	2.OA, 3.OA	2-64, 2-65, 2-66, 3-20
20 Multiply 2-5 Groups: Equal Groups Story Problems ^3-34	3.OA	3-34
21 Multiply & Divide to 100 Perimeter & Area Problems ^3-115	3.MD	3-35, 3-103, 3-115
22 Fractions of Fractions ^3-78	3.NF, 3.G	3-75, 3-76, 3-77, 3-78
23 Improper Fractions (a/b ≥ 1) ^3-82	3.NF	3-79, 3-80, 3-81, 3-82
24 Compare Fractions with Equal Denominators ^3-87	3.NF	3-83, 3-84, 3-85, 3-86, 3-87
25 Scaled Bar Graphs ^3-122	3.MD	2-130, 2-131, 3-48, 3-49, 3-121, 3-122
26 Line Plots to the nearest Halves & Fourths ^3-124	3.MD	2-128, 2-132, 3-123, 3-124
27 Read & Write Time to the Nearest Minute ^3-125	3.MD	1-130, 1-131, 2-125, 2-126, 3-125
28 Elapsed Time Bridge the Hour: End-Time-Unknown ^3-129	3.MD	3-126, 3-129
29 Elapsed Time Bridge the Hour: Elapsed-Time-Unknown ^3-130	3.MD	3-127, 3-128, 3-130
30 Classify & Compare Shapes by Category ^3-135	3.G	0-123, 2-134, 3-134, 3-135

Identify gaps in foundational Grade 4 math skills for students entering Grade 5. This diagnostic assesses place value to six digits, rounding within 10,000, and both additive and multiplicative comparison of numbers. It covers addition and subtraction to 10,000 using the standard algorithm, multiplication of one-digit by three-digit and two-digit by two-digit numbers, and division of three- and four-digit numbers with remainders. Number theory includes identifying multiples, common multiples, least common multiples, and factor pairs to 100. The assessment also covers fraction equivalence with improper fractions and mixed numbers, comparing and ordering fractions, adding and subtracting with regrouping, multiplying a whole number by a fraction, decimal concepts to hundredths, angle measurements, classifying quadrilaterals, and identifying lines of symmetry.

Grade 4
Summative

Grade 5
Readiness

Versions A and B below are parallel assessments with identical structure and skill targets, but different numbers and contexts in each problem, allowing one to be used as a pre-test to drive intervention and the other to be used as a post-test to verify retention. Each question maps to a source lesson, the corresponding common core standards, and a set of prescribed backfill lessons, ensuring clear and straightforward remediation.

Version A:

Version B:

Source Lesson	Domain	Backfill Lessons
1 Place Value to Six Digits ^4-73	4.NBT	1-105, 2-76, 2-77, 2-78, 3-26, 4-73
2 Rounding within 10,000 to the Nearest Hundred ^4-27	4.NBT	3-22, 3-24, 4-25, 4-26, 4-27
3 Compare Digits to 10,000 Additively & Multiplicatively ^4-31	4.NBT, 4.OA	4-29, 4-30, 4-31
4 Add to 10,000 using the Standard Algorithm ^4-32	4.NBT	2-92, 2-93, 2-94, 2-95, 4-32
5 Subtract to 10,000 using the Standard Algorithm ^4-33	4.NBT	2-82, 2-103, 2-104, 2-106, 2-109, 4-33
6 Multiply 1-Digit x 3-Digit with the Partial Products Algorithm ^4-37	4.NBT	3-46, 3-106, 4-34, 4-35, 4-36, 4-37
7 Multiply 2-Digit x 2-Digit with Number Bonds & PP Algorithm ^4-42	4.NBT	4-40, 4-41, 4-42
8 Divide 3-Digit & 4-Digit Numbers using the Partial Quotient Algorithm ^4-50	4.NBT	3-112, 4-46, 4-47, 4-48, 4-49, 4-50
9 Divide 3-Digit Numbers with Remainders using the Partial Quotients Algorithm ^4-67	4.NBT	4-64, 4-65, 4-66, 4-67
10 Multiples, Common Multiples & Least Common Multiples ^4-59	4.OA	4-59
11 Factor Pairs to 100 ^4-62	4.OA	4-61, 4-62
12 Fraction Equivalence - Improper Fractions ^4-85	4.NF	2-55, 3-84, 3-85, 4-83, 4-84, 4-85
13 Convert Mixed Numbers to Fractions ^4-87	4.NF	3-82, 4-86, 4-87
14 Compare Proper Fractions ^4-93	4.NF	3-86, 3-87, 4-91, 4-92, 4-93
15 Order Proper & Improper Fractions ^4-97	4.NF	3-80, 3-81, 4-95, 4-96, 4-97
16 Multiplicative Comparison Story Problems ^4-20	4.OA	2-52, 3-113, 4-18, 4-19
17 Multistep Comparison Story Problems: Scale-Factor-Unknown ^4-21	4.OA	4-20, 4-21
18 Add Fractions with Regrouping ^4-99	4.NF	3-75, 4-98, 4-99
19 Subtract Fractions with Regrouping ^4-101	4.NF	4-100, 4-101
20 Add & Subtract Mixed Numbers with Regrouping ^4-103	4.NF	4-102, 4-103
21 Multiply Whole Number x Fraction - Computation ^4-107	4.NF	4-107
22 Add Tenths & Hundredths by Renaming, using Base 10 Blocks ^4-114	4.NF	4-112, 4-113, 4-114
23 Write Decimals as Fractions ^4-116	4.NF	4-115, 4-116
24 Order Decimals on a Number Line ^4-120	4.NF, 4.NF	4-117, 4-118, 4-119, 4-120
25 Convert Units of Weight & Mass ^4-123	4.MD	4-122, 4-123
26 Convert Units of Weight & Mass ^4-123	4.MD	4-122, 4-123
27 Add & Subtract Measurements of Angles ^4-131	4.MD	4-130, 4-131
28 Classify Lines - Intersecting, Perpendicular, Parallel ^4-132	4.G	4-128, 4-129, 4-132
29 Classify Quadrilaterals - Defining Attributes ^4-134	4.G	3-134, 3-135, 4-133, 4-134
30 Lines of Symmetry ^4-135	4.G	4-135

Identify gaps in foundational Grade 5 math skills for students entering Grade 6. This diagnostic assesses place value using powers of 10, additive and multiplicative comparison of digits, and rounding decimal numbers. It covers multi-digit multiplication and division by two-digit divisors using the standard algorithm, along with order of operations. Fraction work includes adding and subtracting with unlike denominators, multiplying proper fractions and mixed numbers, and dividing unit fractions by whole numbers and whole numbers by unit fractions. The assessment also covers decimal addition, subtraction, multiplication, and division, sequential comparison word problems with proportional reasoning, volume of rectangular prisms and composite figures, coordinate points, quadrilateral hierarchies, and proportional linear relationships on coordinate planes.

Grade 5
Summative

Grade 6
Readiness

Versions A and B below are parallel assessments with identical structure and skill targets, but different numbers and contexts in each problem, allowing one to be used as a pre-test to drive intervention and the other to be used as a post-test to verify retention. Each question maps to a source lesson, the corresponding common core standards, and a set of prescribed backfill lessons, ensuring clear and straightforward remediation.

Version A:

Version B:

Source Lesson	Domain	Backfill Lessons
1 Model Numbers in Expanded Form with Exponents ^5-24	5.NBT, 5.NBT	2-76, 2-77, 4-24, 4-73, 5-24
2 Compare Digits that are the Same ^5-70	5.NBT	3-26, 4-29, 4-30, 4-31, 5-70
3 Rounding Decimal Numbers to the Nearest Tenth ^5-96	5.NBT	5-92, 5-94, 5-95, 5-96
4 Multiply using the Standard Algorithm: Part I ^5-16	5.NBT	3-46, 3-106, 4-34, 4-80, 4-81, 5-16
5 Multiply using the Standard Algorithm: Part II ^5-17	5.NBT	4-40, 4-41, 4-42, 5-17
6 Divide by 2-Digit Divisors using the Partial Quotients Algorithm ^5-27	5.NBT	3-112, 4-46, 4-49, 4-50, 5-26, 5-27
7 Order of Operations ^5-29	5.OA	3-60, 4-55, 5-29
8 Add Fractions with Unlike Denominators: Part II ^5-40	5.NF	4-98, 5-37, 5-38, 5-39, 5-40
9 Subtract Fractions with Unlike Denominators: Part II ^5-45	5.NF	4-100, 4-101, 5-44, 5-45
10 Proper Fraction x Proper Fraction ^5-56	5.NF	4-83, 5-54, 5-55, 5-56
11 Unit Fraction ÷ Whole Number using the Sharing Model ^5-72	5.NF	5-67, 5-68, 5-72
12 Whole Number ÷ Unit Fraction using the Grouping Model ^5-73	5.NF	5-73
13 Add Mixed Numbers with Unlike Denominators ^5-41	5.NF	4-102, 4-103, 5-41
14 Subtract Mixed Numbers with Unlike Denominators ^5-46	5.NF	5-46
15 Multiply Mixed Numbers using an Area Model ^5-63	5.NF	4-107, 5-61, 5-63
16 Add Decimal Numbers using Partial Sums ^5-99	5.NBT	4-113, 4-114, 5-42, 5-43, 5-99
17 Subtract Decimal Numbers using Partial Differences ^5-101	5.NBT	5-100, 5-101
18 Multiply Decimal Numbers using the Partial Products Algorithm ^5-106	5.NBT	5-104, 5-105, 5-106
19 Divide Decimal Numbers by Decimals Numbers ^5-112	5.NBT	5-111, 5-112
20 Sequential 2-Step Comparison Word Problems ^5-32	5.NBT	4-20, 4-21, 4-22, 4-23, 5-32
21 Subtract Fractions with Unlike Denominators Word Problems ^5-50	5.NF	2-39, 2-43, 4-104, 5-49, 5-50
22 Comparison Word Problems using Fractions to Compare Multiplicatively ^5-65	5.NF	4-16, 4-17, 4-18, 4-19, 5-19, 5-65
23 Scale Whole Numbers on a Double-Sided Number Line: Part II ^5-85	5.NF	5-84, 5-85
24 Smaller to Larger Standard Units ^5-123	5.MD	5-118, 5-119, 5-121, 5-122, 5-123
25 Volume of Rectangular Prisms ^5-22	5.MD, 5.MD	3-100, 5-22
26 Interpret Verbal Expressions ^5-30	5.OA, 5.OA	5-30
27 Hierarchy of Quadrilaterals ^5-135	5.G, 5.G	4-133, 4-134, 5-133, 5-134, 5-135
28 Composite Volume of Rectangular Prisms ^5-23	5.MD	5-23
29 Introduction to Coordinate Geometry ^5-129	5.G, 5.G	5-129
30 Analyze Proportional Linear Relationships using Coordinate Pairs ^5-131	5.OA, 5.G	5-130, 5-131

Diagnostics