## Numbers and comparing

- A.1Even or odd
- A.2Even or odd: arithmetic rules
- A.3Skip-counting
- A.4Skip-counting puzzles
- A.5Number sequences
- A.6Ordinal numbers to 100th
- A.7Write numbers in words
- A.8Roman numerals I, V, X, L, C, D, M
- A.9Compare numbers
- A.10Which number is greatest/least?
- A.11Order numbers
- A.12Comparing - with addition and subtraction
- A.13Multi-step inequalities

## Place values

- B.1Place value models up to thousands
- B.2Place value names up to thousands
- B.3Place value names up to hundred thousands
- B.4Value of a digit
- B.5Convert to/from a number
- B.6Convert between place values
- B.7Convert from expanded form
- B.8Convert between standard and expanded form
- B.9Place value word problems

## Addition

- C.1Add two numbers up to three digits
- C.2Addition input/output tables - up to three digits
- C.3Add two numbers up to three digits - word problems
- C.4Complete the addition sentence - up to three digits
- C.5Balance addition equations - up to three digits
- C.6Add three numbers up to three digits each
- C.7Add three numbers up to three digits each: word problems
- C.8Addition patterns over increasing place values
- C.9Add two numbers with four or more digits
- C.10Addition input/output tables - four or more digits
- C.11Add two numbers with four or more digits - word problems
- C.12Complete the addition sentence - four or more digits
- C.13Balance equations - four or more digits
- C.14Add three or more numbers with four or more digits
- C.15Add three or more numbers with four or more digits - word problems
- C.16Addition: fill in the missing digits

## Subtraction

- D.1Subtract numbers up to three digits
- D.2Subtraction input/output tables - up to three digits
- D.3Subtract numbers up to three digits - word problems
- D.4Complete the subtraction sentence - up to three digits
- D.5Balance subtraction equations - up to three digits
- D.6Subtraction patterns over increasing place values
- D.7Subtract numbers with four or more digits
- D.8Subtraction input/output tables - four or more digits
- D.9Subtraction: fill in the missing digits

## Understand multiplication

- E.1Count equal groups
- E.2Identify multiplication expressions for equal groups
- E.3Write multiplication sentences for equal groups
- E.4Relate addition and multiplication for equal groups
- E.5Identify multiplication expressions for arrays
- E.6Write multiplication sentences for arrays
- E.7Make arrays to model multiplication
- E.8Write multiplication sentences for number lines

## Multiplication skill builders

- F.1Multiply by 0
- F.2Multiply by 1
- F.3Multiply by 2
- F.4Multiply by 3
- F.5Multiply by 4
- F.6Multiply by 5
- F.7Multiply by 6
- F.8Multiply by 7
- F.9Multiply by 8
- F.10Multiply by 9
- F.11Multiply by 10
- F.12Multiply by 11
- F.13Multiply by 12

## Multiplication fluency

- G.1Multiplication tables for 2, 3, 4, 5, and 10
- G.2Multiplication facts for 2, 3, 4, 5, and 10: true or false?
- G.3Multiplication facts for 2, 3, 4, 5, and 10: sorting
- G.4Multiplication facts for 2, 3, 4, 5, and 10: find the missing factor
- G.5Multiplication tables for 6, 7, 8, and 9
- G.6Multiplication facts for 6, 7, 8, and 9: true or false?
- G.7Multiplication facts for 6, 7, 8, and 9: sorting
- G.8Multiplication facts for 6, 7, 8, and 9: find the missing factor
- G.9Multiplication tables up to 10
- G.10Multiplication facts up to 10: true or false?
- G.11Multiplication facts up to 10: sorting
- G.12Multiplication facts up to 10: find the missing factor
- G.13Multiplication facts up to 10: select the missing factors
- G.14Multiplication sentences up to 10: true or false?
- G.15Multiplication tables up to 12
- G.16Multiplication facts up to 12: true or false?
- G.17Multiplication facts up to 12: find the missing factor
- G.18Multiplication facts up to 12: select the missing factors
- G.19Multiplication sentences up to 12: true or false?
- G.20Squares up to 10 x 10

## Multiplication

- H.1Multiply by a multiple of ten
- H.2Multiplication patterns over increasing place values
- H.3Multiply numbers ending in zeroes
- H.4Multiplication input/output tables
- H.5Multiplication input/output tables: find the rule
- H.6Multiplication word problems
- H.7Multiplication word problems: find the missing factor
- H.8Multiply one-digit numbers by two-digit numbers
- H.9Multiply one-digit numbers by two-digit numbers: word problems
- H.10Multiply one-digit numbers by three-digit numbers
- H.11Multiply one-digit numbers by three-digit numbers: word problems
- H.12Multiply three or more numbers
- H.13Multiply three or more numbers: word problems
- H.14Combinations
- H.15Box multiplication
- H.16Lattice multiplication

## Understand division

- I.1Divide by counting equal groups
- I.2Write division sentences for groups
- I.3Relate multiplication and division for groups
- I.4Write division sentences for arrays
- I.5Relate multiplication and division for arrays

## Division skill builders

## Division fluency

- K.1Division facts for 2, 3, 4, 5, and 10
- K.2Division facts for 2, 3, 4, 5, and 10: true or false?
- K.3Division facts for 2, 3, 4, 5, and 10: sorting
- K.4Division facts for 6, 7, 8, and 9
- K.5Division facts for 6, 7, 8, and 9: true or false?
- K.6Division facts for 6, 7, 8, and 9: sorting
- K.7Division facts up to 10
- K.8Division facts up to 10: true or false?
- K.9Division facts up to 10: sorting
- K.10Division facts up to 10: find the missing number
- K.11Division facts up to 10: select the missing numbers
- K.12Division sentences up to 10: true or false?
- K.13Division facts up to 12
- K.14Division facts up to 12: true or false?
- K.15Division facts up to 12: find the missing number
- K.16Division facts up to 12: select the missing numbers
- K.17Division sentences up to 12: true or false?

## Division

- L.1Division patterns over increasing place values
- L.2Divide numbers ending in zeroes
- L.3Division input/output tables
- L.4Division input/output tables: find the rule
- L.5Division word problems
- L.6Divide three-digit numbers
- L.7Complete the division table
- L.8Divide three-digit numbers: word problems
- L.9Divide larger numbers
- L.10Divide larger numbers: word problems
- L.11Divisibility rules for 2, 5, and 10
- L.12Divisibility rules for 3, 6, and 9
- L.13Divisibility rules for 4 and 8

## Mixed operations

- M.1Addition, subtraction, multiplication, and division facts
- M.2Complete the addition, subtraction, multiplication, or division sentence
- M.3Multiplication and division facts up to 5: true or false?
- M.4Multiplication and division facts up to 10: true or false?
- M.5Multiplication and division facts up to 12: true or false?
- M.6Multiplication and division sentences up to 12: true or false?
- M.7Add, subtract, multiply, and divide
- M.8Addition and subtraction word problems
- M.9Addition, subtraction, multiplication, and division word problems
- M.10Interpret data in tables
- M.11Perform multiple operations with whole numbers
- M.12Multi-step word problems
- M.13Missing operators

## Properties

- N.1Addition, subtraction, multiplication, and division terms
- N.2Understanding parentheses
- N.3Properties of addition
- N.4Solve using properties of addition
- N.5Properties of multiplication
- N.6Distributive property: find the missing factor
- N.7Multiply using the distributive property
- N.8Solve using properties of multiplication
- N.9Relate addition and multiplication
- N.10Relate multiplication and division

## Equations and variables

- O.1Identify equations
- O.2Solve for the variable: addition and subtraction
- O.3Solve for the variable: multiplication and division
- O.4Solve for the variable: addition, subtraction, multiplication, and division
- O.5Write variable equations to represent word problems

## Estimation and rounding

- P.1Rounding - nearest ten or hundred only
- P.2Rounding
- P.3Rounding money amounts
- P.4Rounding puzzles
- P.5Estimate sums up to 1,000
- P.6Estimate sums
- P.7Estimate differences up to 1,000
- P.8Estimate differences
- P.9Solve inequalities using estimation
- P.10Estimate products
- P.11Estimate quotients

## Logical reasoning

- Q.1Guess the number
- Q.2Largest/smallest number possible
- Q.3Find the order
- Q.4Age puzzles
- Q.5Find two numbers based on sum and difference
- Q.6Find two numbers based on sum, difference, product, and quotient

## Patterns

- R.1Repeating patterns
- R.2Growing patterns
- R.3Find the next shape in a pattern
- R.4Complete a repeating pattern
- R.5Make a repeating pattern
- R.6Find the next row in a growing pattern

## Money

- S.1Count coins and bills - up to $5 bill
- S.2Purchases - do you have enough money - up to $10
- S.3Which picture shows more?
- S.4Making change
- S.5Inequalities with money
- S.6Put money amounts in order
- S.7Add and subtract money amounts
- S.8Add money amounts - word problems
- S.9Price lists
- S.10Multiply money amounts
- S.11Divide money amounts

## Time

- T.1Match clocks and times
- T.2Match analog and digital clocks
- T.3Read clocks and write times
- T.4A.M. or P.M.
- T.5Write times
- T.6Elapsed time
- T.7Elapsed time word problems
- T.8Time patterns
- T.9Convert between hours and fractions of hours
- T.10Relate time units
- T.11Read a calendar
- T.12Reading schedules
- T.13Timelines

## Data and graphs

- U.1Objects on a coordinate plane
- U.2Coordinate planes as maps
- U.3Graph points on a coordinate plane
- U.4Interpret tally charts and tables
- U.5Interpret bar graphs
- U.6Use bar graphs to solve problems
- U.7Create bar graphs
- U.8Interpret line plots
- U.9Create line plots
- U.10Interpret pictographs
- U.11Create pictographs
- U.12Interpret line graphs
- U.13Create line graphs
- U.14Count shapes in a Venn diagram
- U.15Sort shapes into a Venn diagram
- U.16Venn diagrams with three circles

## Probability and statistics

## Understand fractions

- W.1Identify equal parts
- W.2Understand fractions: fraction bars
- W.3Understand fractions: area models
- W.4Show fractions: fraction bars
- W.5Show fractions: area models
- W.6Match fractions to models: halves, thirds, and fourths
- W.7Match unit fractions to models
- W.8Match fractions to models
- W.9Fractions of number lines: unit fractions
- W.10Fractions of number lines
- W.11Identify unit fractions on number lines
- W.12Identify fractions on number lines
- W.13Graph unit fractions on number lines
- W.14Graph fractions on number lines
- W.15Graph smaller or larger fractions on a number line
- W.16Unit fractions: modeling word problems
- W.17Unit fractions: word problems
- W.18Fractions of a whole: modeling word problems
- W.19Fractions of a whole: word problems
- W.20Fractions of a group: word problems
- W.21Match mixed numbers to models
- W.22Word names for mixed numbers

## Equivalent fractions

- X.1Find equivalent fractions using area models
- X.2Identify equivalent fractions on number lines
- X.3Find equivalent fractions using number lines
- X.4Graph equivalent fractions on number lines
- X.5Select equivalent fractions
- X.6Find equivalent fractions
- X.7Graph fractions equivalent to 1 on number lines
- X.8Select fractions equivalent to whole numbers using area models
- X.9Find fractions equivalent to whole numbers
- X.10Find equivalent fractions with denominators of 10 and 100
- X.11Write fractions in lowest terms

## Compare fractions

- Y.1Compare fractions using models
- Y.2Compare fractions using number lines
- Y.3Graph and compare fractions with like denominators on number lines
- Y.4Graph and compare fractions with like numerators on number lines
- Y.5Graph and compare fractions on number lines
- Y.6Compare fractions
- Y.7Compare fractions in recipes
- Y.8Benchmark fractions
- Y.9Graph and order fractions on number lines
- Y.10Order fractions with like denominators
- Y.11Order fractions with like numerators
- Y.12Order fractions

## Operations with fractions

- Z.1Fractions of a number - unit fractions
- Z.2Fractions of a number
- Z.3Fractions of a number - unit fractions: word problems
- Z.4Fractions of a number: word problems
- Z.5Decompose fractions into unit fractions
- Z.6Add fractions with like denominators using number lines
- Z.7Subtract fractions with like denominators using number lines
- Z.8Add and subtract fractions with like denominators

## Decimals

- AA.1What decimal number is illustrated?
- AA.2Convert between decimals and fractions
- AA.3Word names for decimals
- AA.4Compare decimals
- AA.5Order decimals
- AA.6Add and subtract decimals
- AA.7Add and subtract decimals - word problems
- AA.8Add three or more decimals
- AA.9Number sequences involving decimals

## Units of measurement

- BB.1Read a thermometer
- BB.2Reasonable temperature
- BB.3Measure using an inch ruler
- BB.4Which customary unit of length is appropriate?
- BB.5Which customary unit of weight is appropriate?
- BB.6Which customary unit of volume is appropriate?
- BB.7Which customary unit is appropriate?
- BB.8Compare and convert customary units of length
- BB.9Compare and convert customary units of weight
- BB.10Compare and convert customary units of volume
- BB.11Conversion tables - customary units
- BB.12Compare customary units by multiplying
- BB.13Which metric unit of length is appropriate?
- BB.14Which metric unit of weight is appropriate?
- BB.15Which metric unit of volume is appropriate?
- BB.16Which metric unit is appropriate?
- BB.17Compare and convert metric units of length
- BB.18Compare and convert metric units of weight
- BB.19Compare and convert metric units of volume
- BB.20Conversion tables - metric units
- BB.21Choose the appropriate measuring tool

## Two-dimensional shapes

- CC.1Identify two-dimensional shapes
- CC.2Count and compare sides and vertices
- CC.3Open and closed shapes
- CC.4Is it a polygon?
- CC.5Lines, line segments, and rays
- CC.6Angles greater than, less than, or equal to a right angle
- CC.7Parallel, perpendicular, and intersecting lines
- CC.8Reflection, rotation, and translation
- CC.9Identify congruent shapes
- CC.10Symmetry

## Triangles and quadrilaterals

- DD.1Acute, obtuse, and right triangles
- DD.2Scalene, isosceles, and equilateral triangles
- DD.3Parallel sides in quadrilaterals
- DD.4Identify parallelograms
- DD.5Identify trapezoids
- DD.6Identify rectangles
- DD.7Identify rhombuses
- DD.8Classify quadrilaterals

## Three-dimensional shapes

- EE.1Identify three-dimensional shapes
- EE.2Count vertices, edges, and faces
- EE.3Identify faces of three-dimensional shapes
- EE.4Shapes of everyday objects I
- EE.5Shapes of everyday objects II

## Geometric measurement

- FF.1Perimeter of rectangles
- FF.2Perimeter of rectilinear shapes
- FF.3Perimeter of polygons
- FF.4Perimeter: find the missing side length
- FF.5Perimeter: word problems
- FF.6Find the area of figures made of unit squares
- FF.7Select figures with a given area
- FF.8Select two figures with the same area
- FF.9Create figures with a given area
- FF.10Find the area of rectangles and squares
- FF.11Find the missing side length of a rectangle
- FF.12Find the area of rectangles with missing unit squares
- FF.13Find the area of rectangles: word problems
- FF.14Find the area of complex figures
- FF.15Find the area between two rectangles
- FF.16Compare area and perimeter of two figures
- FF.17Use area and perimeter to determine cost
- FF.18Relationship between area and perimeter
- FF.19Volume