# Second grade math

Here is a list of all of the math skills students learn in second grade! These skills are organized into categories, and you can move your mouse over any skill name to preview the skill. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Counting and number patterns

- A.1 Skip-counting
- A.2 Skip-counting stories
- A.3 Skip-counting sequences
- A.4 Counting patterns - up to 100
- A.5 Skip-counting puzzles
- A.6 Number lines - up to 100
- A.7 Hundreds chart
- A.8 Number lines - up to 1,000
- A.9 Even or odd
- A.10 Even or odd numbers on number lines
- A.11 Identify numbers as even or odd
- A.12 Select even or odd numbers
- A.13 Which even or odd number comes before or after?
- A.14 Counting patterns - up to 1,000

## Comparing and ordering

## Names of numbers

- C.1 Ordinal numbers up to 10th
- C.2 Writing numbers up to 100 in words - convert words to digits
- C.3 Writing numbers up to 100 in words - convert digits to words
- C.4 Writing numbers up to 1,000 in words - convert words to digits
- C.5 Writing numbers up to 1,000 in words - convert digits to words
- C.6 Ordinal numbers up to 100th
- C.7 Distinguishing ordinal and cardinal numbers
- C.8 Roman numerals I, V, X, L

## Patterns

## Addition - one digit

- E.1 Review - add one-digit numbers - sums to 10
- E.2 Review - ways to make a number - sums to 10
- E.3 Review - writing addition sentences - sums to 10
- E.4 Addition with pictures - sums to 20
- E.5 Write addition sentences to describe pictures - sums to 20
- E.6 Addition sentences using number lines - sums up to 20
- E.7 Add one-digit numbers
- E.8 Addition input/output tables - sums to 20
- E.9 Add zero
- E.10 Add doubles using models
- E.11 Add doubles
- E.12 Add doubles - complete the sentence
- E.13 Addition word problems - one digit
- E.14 Complete the addition sentence - one digit
- E.15 Write the addition sentence - one digit
- E.16 Balance addition equations - one digit
- E.17 Addition equations: true or false?
- E.18 Add three one-digit numbers
- E.19 Add three one-digit numbers: word problems
- E.20 Add four or more one-digit numbers
- E.21 Add four or more one-digit numbers: word problems
- E.22 Identify repeated addition in arrays: sums to 10
- E.23 Write addition sentences for arrays: sums to 10
- E.24 Identify repeated addition in arrays: sums to 25
- E.25 Write addition sentences for arrays: sums to 25

## Subtraction - one digit

- F.1 Review - subtract one-digit numbers - up to 10
- F.2 Review - ways to subtract - up to 10
- F.3 Review - writing subtraction sentences - up to 10
- F.4 Subtract doubles
- F.5 Subtraction with pictures
- F.6 Write subtraction sentences to describe pictures - up to 18
- F.7 Subtraction sentences using number lines - numbers up to 20
- F.8 Subtract a one-digit number from a two-digit number up to 18
- F.9 Subtraction input/output tables - up to 18
- F.10 Subtract zero/all
- F.11 Subtraction word problems - up to 18
- F.12 Complete the subtraction sentence - up to 18
- F.13 Write the subtraction sentence - up to 18
- F.14 Balance subtraction equations - up to 18
- F.15 Subtraction equations: true or false?

## Addition - two digits

- G.1 Add multiples of 10
- G.2 Write addition sentences to describe pictures
- G.3 Add a two-digit and a one-digit number - without regrouping
- G.4 Add a two-digit and a one-digit number - with regrouping
- G.5 Add two two-digit numbers - without regrouping
- G.6 Add two two-digit numbers - with regrouping
- G.7 Addition input/output tables - up to two digits
- G.8 Ways to make a number using addition
- G.9 Addition word problems - up to two digits
- G.10 Complete the addition sentence - up to two digits
- G.11 Write the addition sentence - up to two digits
- G.12 Balance addition equations - up to two digits
- G.13 Add three numbers up to two digits each
- G.14 Add three numbers up to two digits each: word problems
- G.15 Add four or more numbers up to two digits each
- G.16 Add four or more numbers up to two digits each: word problems

## Subtraction - two digits

- H.1 Subtract multiples of 10
- H.2 Write subtraction sentences to describe pictures - up to two digits
- H.3 Subtract a one-digit number from a two-digit number - without regrouping
- H.4 Subtract a one-digit number from a two-digit number - with regrouping
- H.5 Subtract two two-digit numbers - without regrouping
- H.6 Subtract two two-digit numbers - with regrouping
- H.7 Subtraction input/output tables - up to two digits
- H.8 Ways to make a number using subtraction
- H.9 Subtraction word problems - up to two digits
- H.10 Complete the subtraction sentence - up to two digits
- H.11 Write the subtraction sentence - up to two digits
- H.12 Balance subtraction equations - up to two digits

## Addition - three digits

- I.1 Add multiples of 100
- I.2 Add multiples of 10 or 100
- I.3 Addition with three-digit numbers
- I.4 Addition input/output tables - up to three digits
- I.5 Addition word problems - up to three digits
- I.6 Complete the addition sentence - up to three digits
- I.7 Write the addition sentence - up to three digits
- I.8 Balance addition equations - up to three digits

## Subtraction - three digits

- J.1 Subtract multiples of 100
- J.2 Subtract multiples of 10 or 100
- J.3 Subtract three-digit numbers
- J.4 Subtraction input/output tables - up to three digits
- J.5 Subtraction word problems - up to three digits
- J.6 Complete the subtraction sentence - up to three digits
- J.7 Write the subtraction sentence - up to three digits
- J.8 Balance subtraction equations - up to three digits

## Properties

## Mixed operations

- L.1 Add and subtract numbers up to 20
- L.2 Addition and subtraction - ways to make a number - up to 20
- L.3 Addition and subtraction word problems - up to 20
- L.4 Addition and subtraction - balance equations - up to 20
- L.5 Addition and subtraction equations up to 20: true or false?
- L.6 Input/output tables - write the rule - up to 20
- L.7 Input/output tables - add and subtract by 10
- L.8 Add and subtract numbers up to 100
- L.9 Addition and subtraction - ways to make a number - up to 100
- L.10 Addition and subtraction word problems - up to 100
- L.11 Addition and subtraction - balance equations - up to 100
- L.12 Input/output tables - write the rule - up to 100
- L.13 Input/output tables - add and subtract by 100
- L.14 Input/output tables - add and subtract by 10 or 100
- L.15 Which sign (+ or -) makes the number sentence true?
- L.16 Write addition and subtraction sentences
- L.17 Inequalities with addition and subtraction - up to 100

## Place values

- M.1 Place value models - tens and ones
- M.2 Place value models - up to hundreds
- M.3 Place value models - up to thousands
- M.4 Identify a digit up to the hundreds place
- M.5 Place value - tens and ones
- M.6 Place value - up to hundreds
- M.7 Place value - up to thousands
- M.8 Convert to/from a number - tens and ones
- M.9 Regroup tens and ones - ways to make a number
- M.10 Regroup tens and ones
- M.11 Convert to/from a number - up to hundreds
- M.12 Convert to/from a number - up to thousands
- M.13 Convert between place values - up to thousands
- M.14 Convert from expanded form - up to hundreds
- M.15 Convert from expanded form - up to thousands

## Estimation and rounding

## Logical reasoning

## Money

- P.1 Names and values of common coins
- P.2 Names and values of all coins
- P.3 Count money - pennies, nickels, and dimes only
- P.4 Count money - up to $1
- P.5 Count money - up to $5
- P.6 Equivalent amounts of money - up to $1
- P.7 Exchanging money
- P.8 Comparing groups of coins
- P.9 Add money - up to $1
- P.10 Add money - up to $1: word problems
- P.11 Subtract money - up to $1
- P.12 Subtract money - up to $1: word problems
- P.13 Add and subtract money - up to $1
- P.14 Add and subtract money - up to $1: word problems
- P.15 Purchases - do you have enough money - up to $1
- P.16 Purchases - do you have enough money - up to $5
- P.17 Which picture shows more - up to $5
- P.18 Least number of coins
- P.19 How much more to make a dollar?
- P.20 Making change

## Time

- Q.1 Match digital clocks and times
- Q.2 Match analog clocks and times
- Q.3 Match analog and digital clocks
- Q.4 Read clocks and write times: hour and half hour
- Q.5 Read clocks and write times
- Q.6 Time words: o'clock, half, quarter
- Q.7 A.M. or P.M.
- Q.8 Compare clocks
- Q.9 Elapsed time I
- Q.10 Elapsed time II
- Q.11 Time patterns
- Q.12 Days of the week
- Q.13 Months of the year
- Q.14 Seasons
- Q.15 Read a calendar
- Q.16 Number of days in each month
- Q.17 Relate time units

## Data and graphs

- R.1 Interpret tally charts and tables
- R.2 Interpret bar graphs
- R.3 Which bar graph is correct?
- R.4 Create bar graphs
- R.5 Interpret line plots
- R.6 Create line plots
- R.7 Interpret pictographs
- R.8 Create pictographs
- R.9 Interpret line graphs
- R.10 Which line graph is correct?
- R.11 Count shapes in a Venn diagram
- R.12 Sort shapes into a Venn diagram
- R.13 Venn diagrams with three circles
- R.14 Objects on a coordinate plane

## Units of measurement

- S.1 Read a thermometer
- S.2 Measure using an inch ruler
- S.3 Which customary unit of length is appropriate?
- S.4 Customary units of length: word problems
- S.5 Which customary unit of weight is appropriate?
- S.6 Which customary unit of volume is appropriate?
- S.7 Compare and convert customary units of volume
- S.8 Measure using a centimeter ruler
- S.9 Which metric unit of length is appropriate?
- S.10 Metric units of length: word problems
- S.11 Which metric unit of weight is appropriate?
- S.12 Which metric unit of volume is appropriate?
- S.13 Compare and convert metric units of volume
- S.14 Compare and convert metric units of weight
- S.15 Choose the appropriate measuring tool

## Two-dimensional shapes

## Three-dimensional shapes

- U.1 Name the three-dimensional shape
- U.2 Select three-dimensional shapes
- U.3 Count vertices, edges, and faces
- U.4 Compare vertices, edges, and faces
- U.5 Identify faces of three-dimensional shapes
- U.6 Identify shapes traced from solids
- U.7 Shapes of everyday objects I
- U.8 Shapes of everyday objects II

## Geometric measurement

## Fractions

- W.1 Equal parts
- W.2 Halves, thirds, and fourths
- W.3 Identify the fraction
- W.4 Which shape illustrates the fraction?
- W.5 Fractions of a group
- W.6 Fractions of a whole: modeling word problems
- W.7 Fractions of a whole: word problems
- W.8 Fractions of a group: word problems
- W.9 Compare fractions using models
- W.10 Order fractions with like denominators
- W.11 Order fractions with like numerators
- W.12 Fraction models equivalent to whole numbers
- W.13 Fractions equivalent to whole numbers

## Probability and statistics

## Multiplication

- Y.1 Count equal groups
- Y.2 Identify multiplication sentences for equal groups
- Y.3 Write multiplication sentences for equal groups
- Y.4 Relate addition and multiplication for equal groups
- Y.5 Write multiplication sentences for arrays
- Y.6 Write multiplication sentences for number lines
- Y.7 Multiplication tables for 2, 3, and 4
- Y.8 Multiplication tables up to 5
- Y.9 Multiplication tables for 2, 3, 4, 5, and 10
- Y.10 Multiplication tables for 6, 7, 8, and 9
- Y.11 Multiplication tables up to 10