IXL Skill Plan | German mathematics curriculum: Grade 2

German mathematics curriculum: Grade 2

Skills available for Germany Grade 2 math curriculum

Domain

Numbers and operations
Geometry
Patterns and structure
Measurement
Data and probability

Print skill plan

Numbers and operations
Numbers		1. Number lines - up to 20 2. Number lines - up to 100 3. Place numbers on number lines - up to 100 4. Hundred chart 5. Ordinal numbers up to 10th 6. Spell word names for numbers up to 20 7. Writing numbers up to 100 in words - convert words to digits 8. Writing numbers up to 100 in words - convert digits to words
Numbers
1. Number lines - up to 20 2. Number lines - up to 100 3. Place numbers on number lines - up to 100 4. Hundred chart 5. Ordinal numbers up to 10th 6. Spell word names for numbers up to 20 7. Writing numbers up to 100 in words - convert words to digits 8. Writing numbers up to 100 in words - convert digits to words

Comparing and ordering		1. Compare numbers up to 20 2. Comparing numbers up to 100 3. Put numbers up to 100 in order 4. Greatest and least - word problems - up to 100
Comparing and ordering
1. Compare numbers up to 20 2. Comparing numbers up to 100 3. Put numbers up to 100 in order 4. Greatest and least - word problems - up to 100

Place value		1. Place value models - tens and ones 2. Value of a digit - tens and ones 3. Convert to/from a number - tens and ones 4. Convert from expanded form - up to 100 5. Regroup tens and ones - ways to make a number 6. Regroup tens and ones
Place value
1. Place value models - tens and ones 2. Value of a digit - tens and ones 3. Convert to/from a number - tens and ones 4. Convert from expanded form - up to 100 5. Regroup tens and ones - ways to make a number 6. Regroup tens and ones

Rounding		1. Round to the nearest ten using a number line 2. Round to the nearest ten 3. Round using a number line - nearest ten or hundred 4. Round to the nearest ten or hundred
Rounding
1. Round to the nearest ten using a number line 2. Round to the nearest ten 3. Round using a number line - nearest ten or hundred 4. Round to the nearest ten or hundred

Addition
Addition

One-digit numbers		Understand addition 1. Addition with pictures - sums to 20 2. Write addition sentences to describe pictures - sums to 20 3. Addition sentences using number lines - sums to 20 Addition strategies 4. Make ten to add 5. Add doubles using models 6. Add doubles 7. Add doubles - complete the sentence 8. Add near doubles Addition fluency 9. Add zero 10. Add one-digit numbers - sums to 20 11. Ways to make a number with addition - sums to 20 12. Add three one-digit numbers 13. Add four or more one-digit numbers Repeated addition 14. Identify repeated addition for arrays - sums to 10 15. Write addition sentences for arrays - sums to 10 16. Identify repeated addition for arrays - sums to 25 17. Write addition sentences for arrays - sums to 25 Word problems 18. Addition word problems - sums to 20 19. Addition sentences for word problems - sums to 20 20. Addition word problems - three one-digit numbers 21. Addition word problems - four or more one-digit numbers
One-digit numbers
Understand addition 1. Addition with pictures - sums to 20 2. Write addition sentences to describe pictures - sums to 20 3. Addition sentences using number lines - sums to 20 Addition strategies 4. Make ten to add 5. Add doubles using models 6. Add doubles 7. Add doubles - complete the sentence 8. Add near doubles Addition fluency 9. Add zero 10. Add one-digit numbers - sums to 20 11. Ways to make a number with addition - sums to 20 12. Add three one-digit numbers 13. Add four or more one-digit numbers Repeated addition 14. Identify repeated addition for arrays - sums to 10 15. Write addition sentences for arrays - sums to 10 16. Identify repeated addition for arrays - sums to 25 17. Write addition sentences for arrays - sums to 25 Word problems 18. Addition word problems - sums to 20 19. Addition sentences for word problems - sums to 20 20. Addition word problems - three one-digit numbers 21. Addition word problems - four or more one-digit numbers
Two-digit numbers		Two digits plus one digit 1. Write addition sentences to describe pictures 2. Use models to add a two-digit and a one-digit number - without regrouping 3. Use models to add a two-digit and a one-digit number - with regrouping 4. Add a two-digit and a one-digit number - without regrouping 5. Add a two-digit and a one-digit number - with regrouping Two digits plus two digits 6. Add a multiple of 10 to a two-digit number 7. Use models to add two-digit numbers - without regrouping 8. Use models to add two-digit numbers - with regrouping 9. Add two-digit numbers without regrouping - sums to 100 10. Add two-digit numbers with regrouping - sums to 100 11. Add two-digit numbers - sums to 200 12. Ways to make a number using addition 13. Use compensation to add - up to two digits Three or more numbers 14. Add three numbers up to two digits each 15. Add four numbers up to two digits each Word problems 16. Addition word problems - up to two digits 17. Write the addition sentence - up to two digits 18. Addition word problems - three numbers up to two digits each 19. Addition word problems - four numbers up to two digits each
Two-digit numbers
Two digits plus one digit 1. Write addition sentences to describe pictures 2. Use models to add a two-digit and a one-digit number - without regrouping 3. Use models to add a two-digit and a one-digit number - with regrouping 4. Add a two-digit and a one-digit number - without regrouping 5. Add a two-digit and a one-digit number - with regrouping Two digits plus two digits 6. Add a multiple of 10 to a two-digit number 7. Use models to add two-digit numbers - without regrouping 8. Use models to add two-digit numbers - with regrouping 9. Add two-digit numbers without regrouping - sums to 100 10. Add two-digit numbers with regrouping - sums to 100 11. Add two-digit numbers - sums to 200 12. Ways to make a number using addition 13. Use compensation to add - up to two digits Three or more numbers 14. Add three numbers up to two digits each 15. Add four numbers up to two digits each Word problems 16. Addition word problems - up to two digits 17. Write the addition sentence - up to two digits 18. Addition word problems - three numbers up to two digits each 19. Addition word problems - four numbers up to two digits each

Subtraction
Subtraction

One-digit numbers		Understand subtraction 1. Subtraction with pictures 2. Write subtraction sentences to describe pictures - up to 18 3. Subtraction sentences using number lines - up to 20 Subtraction strategies 4. Subtract by counting on - up to 20 5. Subtract doubles Subtraction fluency 6. Subtract zero or all 7. Subtract a one-digit number from a two-digit number up to 20 8. Ways to subtract - up to 20 Word problems 9. Subtraction word problems - up to 20 10. Subtraction sentences for word problems - up to 20
One-digit numbers
Understand subtraction 1. Subtraction with pictures 2. Write subtraction sentences to describe pictures - up to 18 3. Subtraction sentences using number lines - up to 20 Subtraction strategies 4. Subtract by counting on - up to 20 5. Subtract doubles Subtraction fluency 6. Subtract zero or all 7. Subtract a one-digit number from a two-digit number up to 20 8. Ways to subtract - up to 20 Word problems 9. Subtraction word problems - up to 20 10. Subtraction sentences for word problems - up to 20
Two-digit numbers		Two digits minus one digit 1. Use models to subtract a one-digit number from a two-digit number - without regrouping 2. Use models to subtract a one-digit number from a two-digit number - with regrouping 3. Subtract a one-digit number from a two-digit number - without regrouping 4. Subtract a one-digit number from a two-digit number - with regrouping Two digits minus two digits 5. Subtract a multiple of 10 from a two-digit number 6. Use models to subtract two-digit numbers - without regrouping 7. Use models to subtract two-digit numbers - with regrouping 8. Write subtraction sentences to describe pictures - up to two digits 9. Subtract two-digit numbers - without regrouping 10. Subtract two-digit numbers - with regrouping 11. Ways to make a number using subtraction 12. Use compensation to subtract - up to two digits Word problems 13. Subtraction word problems - up to two digits 14. Write the subtraction sentence - up to two digits
Two-digit numbers
Two digits minus one digit 1. Use models to subtract a one-digit number from a two-digit number - without regrouping 2. Use models to subtract a one-digit number from a two-digit number - with regrouping 3. Subtract a one-digit number from a two-digit number - without regrouping 4. Subtract a one-digit number from a two-digit number - with regrouping Two digits minus two digits 5. Subtract a multiple of 10 from a two-digit number 6. Use models to subtract two-digit numbers - without regrouping 7. Use models to subtract two-digit numbers - with regrouping 8. Write subtraction sentences to describe pictures - up to two digits 9. Subtract two-digit numbers - without regrouping 10. Subtract two-digit numbers - with regrouping 11. Ways to make a number using subtraction 12. Use compensation to subtract - up to two digits Word problems 13. Subtraction word problems - up to two digits 14. Write the subtraction sentence - up to two digits

Multiplication and division
Multiplication and division

Understand multiplication		Equal groups 1. Count equal groups of 2, 5, and 10 2. Identify multiplication sentences for groups of 2, 5, and 10 3. Write multiplication sentences for groups of 2, 5, and 10 4. Relate addition and multiplication for groups of 2, 5, and 10 Arrays 5. Identify multiplication expressions for arrays: multiply by 1, 2, and 5 6. Write multiplication sentences for arrays: multiply by 1, 2, and 5 7. Write two multiplication sentences for an array with 1, 2, 5 or 10
Understand multiplication
Equal groups 1. Count equal groups of 2, 5, and 10 2. Identify multiplication sentences for groups of 2, 5, and 10 3. Write multiplication sentences for groups of 2, 5, and 10 4. Relate addition and multiplication for groups of 2, 5, and 10 Arrays 5. Identify multiplication expressions for arrays: multiply by 1, 2, and 5 6. Write multiplication sentences for arrays: multiply by 1, 2, and 5 7. Write two multiplication sentences for an array with 1, 2, 5 or 10
Multiplication fluency		1. Multiply by 1 2. Multiply by 2 3. Multiply by 5 4. Multiply by 10 5. Multiplication facts for 1, 2, 5, and 10 6. Multiplication facts for 1, 2, 5, and 10: true or false? 7. Multiplication facts for 1, 2, 5, and 10: sorting 8. Multiplication facts for 1, 2, 5, and 10: find the missing factor 9. Squares up to 10 x 10
Multiplication fluency
1. Multiply by 1 2. Multiply by 2 3. Multiply by 5 4. Multiply by 10 5. Multiplication facts for 1, 2, 5, and 10 6. Multiplication facts for 1, 2, 5, and 10: true or false? 7. Multiplication facts for 1, 2, 5, and 10: sorting 8. Multiplication facts for 1, 2, 5, and 10: find the missing factor 9. Squares up to 10 x 10
Understand division		Equal groups 1. Divide by counting groups of 2, 5, or 10 2. Write division sentences for groups of 2, 5, and 10 3. Relate multiplication and division for groups of 2, 5, and 10 Arrays 4. Write division sentences for arrays: divide by 2 and 5 5. Relate multiplication and division for arrays: divide by 2 and 5
Understand division
Equal groups 1. Divide by counting groups of 2, 5, or 10 2. Write division sentences for groups of 2, 5, and 10 3. Relate multiplication and division for groups of 2, 5, and 10 Arrays 4. Write division sentences for arrays: divide by 2 and 5 5. Relate multiplication and division for arrays: divide by 2 and 5
Division fluency		1. Divide by 1 2. Divide by 2 3. Divide by 5 4. Divide by 10 5. Division facts for 1, 2, 5, and 10 6. Division facts for 1, 2, 5, and 10: true or false? 7. Division facts for 1, 2, 5, and 10: sorting
Division fluency
1. Divide by 1 2. Divide by 2 3. Divide by 5 4. Divide by 10 5. Division facts for 1, 2, 5, and 10 6. Division facts for 1, 2, 5, and 10: true or false? 7. Division facts for 1, 2, 5, and 10: sorting
Word problems		1. Multiplication with 2, 5, and 10: word problems 2. Divide by 2, 5, and 10: word problems
Word problems
1. Multiplication with 2, 5, and 10: word problems 2. Divide by 2, 5, and 10: word problems

Estimation		1. Estimate to the nearest ten 2. Estimate sums 3. Estimate differences 4. Estimate sums and differences with two-digit numbers: word problems
Estimation
1. Estimate to the nearest ten 2. Estimate sums 3. Estimate differences 4. Estimate sums and differences with two-digit numbers: word problems

Properties		Addition and subtraction 1. Related addition facts 2. Related subtraction facts 3. Fact families 4. Solve inequalities using addition and subtraction shortcuts Multiplication and addition 5. Relate addition and multiplication Multiplication and division 6. Relate multiplication and division
Properties
Addition and subtraction 1. Related addition facts 2. Related subtraction facts 3. Fact families 4. Solve inequalities using addition and subtraction shortcuts Multiplication and addition 5. Relate addition and multiplication Multiplication and division 6. Relate multiplication and division

Geometry
Spatial sense		1. Left, middle, and right 2. Above and below 3. Beside and next to
Spatial sense
1. Left, middle, and right 2. Above and below 3. Beside and next to

Two-dimensional shapes		1. Select two-dimensional shapes 2. Name the two-dimensional shapes 3. Identify rectangles 4. Count sides and vertices 5. Compare sides and vertices 6. Sort two-dimensional shapes 7. Compose two-dimensional shapes 8. Draw polygons 9. Flip, turn, and slide 10. Identify congruent shapes 11. Symmetry 12. Identify lines of symmetry
Two-dimensional shapes
1. Select two-dimensional shapes 2. Name the two-dimensional shapes 3. Identify rectangles 4. Count sides and vertices 5. Compare sides and vertices 6. Sort two-dimensional shapes 7. Compose two-dimensional shapes 8. Draw polygons 9. Flip, turn, and slide 10. Identify congruent shapes 11. Symmetry 12. Identify lines of symmetry

Three-dimensional shapes		1. Cubes 2. Spheres 3. Cubes and rectangular prisms 4. Cubes, spheres, and rectangular prisms 5. Identify cubes, spheres, and rectangular prisms 6. Count vertices, edges, and faces - cubes and rectangular prisms 7. Count vertices, edges, and faces 8. Compare vertices, edges, and faces 9. Sort three-dimensional shapes
Three-dimensional shapes
1. Cubes 2. Spheres 3. Cubes and rectangular prisms 4. Cubes, spheres, and rectangular prisms 5. Identify cubes, spheres, and rectangular prisms 6. Count vertices, edges, and faces - cubes and rectangular prisms 7. Count vertices, edges, and faces 8. Compare vertices, edges, and faces 9. Sort three-dimensional shapes

Area		1. Tile a rectangle with squares 2. Area 3. Select figures with a given area 4. Create figures with a given area 5. Create rectangles with a given area
Area
1. Tile a rectangle with squares 2. Area 3. Select figures with a given area 4. Create figures with a given area 5. Create rectangles with a given area

Patterns and structure
Patterns with shapes		1. Repeating patterns 2. Growing patterns 3. Find the next shape in a repeating pattern 4. Find the next shape in a growing pattern 5. Complete a repeating pattern 6. Make a repeating pattern 7. Find the next row in a growing pattern
Patterns with shapes
1. Repeating patterns 2. Growing patterns 3. Find the next shape in a repeating pattern 4. Find the next shape in a growing pattern 5. Complete a repeating pattern 6. Make a repeating pattern 7. Find the next row in a growing pattern

Patterns with numbers		Skip-counting 1. Skip-count by twos 2. Skip-count by fives 3. Skip-count by tens 4. Skip-count by fives and tens 5. Skip-count by twos, fives, and tens 6. Skip-counting sequences 7. Count forward and backward by fives and tens 8. Count forward and backward by twos, fives, and tens 9. Skip-counting stories 10. Skip-counting puzzles Even and odd numbers 11. Even or odd number of shapes - up to 20 12. Even or odd numbers on number lines 13. Identify even and odd numbers - up to 100 14. Select even and odd numbers - up to 100 15. Which even or odd number comes before or after?
Patterns with numbers
Skip-counting 1. Skip-count by twos 2. Skip-count by fives 3. Skip-count by tens 4. Skip-count by fives and tens 5. Skip-count by twos, fives, and tens 6. Skip-counting sequences 7. Count forward and backward by fives and tens 8. Count forward and backward by twos, fives, and tens 9. Skip-counting stories 10. Skip-counting puzzles Even and odd numbers 11. Even or odd number of shapes - up to 20 12. Even or odd numbers on number lines 13. Identify even and odd numbers - up to 100 14. Select even and odd numbers - up to 100 15. Which even or odd number comes before or after?

Patterns in tables		Addition 1. Addition input/output tables - sums to 20 2. Addition input/output tables - up to two digits Subtraction 3. Subtraction input/output tables - up to 18 4. Subtraction input/output tables - up to two digits
Patterns in tables
Addition 1. Addition input/output tables - sums to 20 2. Addition input/output tables - up to two digits Subtraction 3. Subtraction input/output tables - up to 18 4. Subtraction input/output tables - up to two digits

Equations		Identify true equations 1. Which addition sentence is true? - sums to 20 2. Which subtraction sentence is true? - up to 20 Complete equations 3. Complete the addition sentence - sums to 20 4. Complete the subtraction sentence - up to 20 5. Complete the addition sentence - up to two digits 6. Complete the subtraction sentence - up to two digits Balance equations 7. Balance addition equations - sums to 20 8. Balance subtraction equations - up to 20 9. Balance addition equations - up to two digits 10. Balance subtraction equations - up to two digits
Equations
Identify true equations 1. Which addition sentence is true? - sums to 20 2. Which subtraction sentence is true? - up to 20 Complete equations 3. Complete the addition sentence - sums to 20 4. Complete the subtraction sentence - up to 20 5. Complete the addition sentence - up to two digits 6. Complete the subtraction sentence - up to two digits Balance equations 7. Balance addition equations - sums to 20 8. Balance subtraction equations - up to 20 9. Balance addition equations - up to two digits 10. Balance subtraction equations - up to two digits

Measurement
Length		1. Measure length with objects 2. Measure using a centimeter ruler 3. Compare lengths: metric units 4. Measure with different metric units 5. Which metric unit of length is appropriate? 6. Metric units of length: word problems
Length
1. Measure length with objects 2. Measure using a centimeter ruler 3. Compare lengths: metric units 4. Measure with different metric units 5. Which metric unit of length is appropriate? 6. Metric units of length: word problems

Money		1. Coin values 2. Count money - up to €1 3. Count money - up to €5 4. Which picture shows more - up to €1 5. Which picture shows more - up to €5 6. Making change - up to €5
Money
1. Coin values 2. Count money - up to €1 3. Count money - up to €5 4. Which picture shows more - up to €1 5. Which picture shows more - up to €5 6. Making change - up to €5

Time		Telling time 1. Match analog clocks and times 2. Match analog and digital clocks 3. Read clocks and write times: hour and half hour 4. Read clocks and write times 5. Compare clocks Time intervals 6. Elapsed time word problems: find the end time 7. Elapsed time word problems: find the elapsed time 8. Elapsed time word problems: find the end time or the elapsed time Days, weeks, and months 9. Months of the year 10. Read a calendar I 11. Read a calendar II
Time
Telling time 1. Match analog clocks and times 2. Match analog and digital clocks 3. Read clocks and write times: hour and half hour 4. Read clocks and write times 5. Compare clocks Time intervals 6. Elapsed time word problems: find the end time 7. Elapsed time word problems: find the elapsed time 8. Elapsed time word problems: find the end time or the elapsed time Days, weeks, and months 9. Months of the year 10. Read a calendar I 11. Read a calendar II

Data and probability
Tally charts		1. Which tally chart is correct? 2. Interpret tally charts
Tally charts
1. Which tally chart is correct? 2. Interpret tally charts

Tables		1. Record data in tables 2. Interpret data in tables
Tables
1. Record data in tables 2. Interpret data in tables

Bar graphs		1. Interpret bar graphs I 2. Interpret bar graphs II 3. Which bar graph is correct? 4. Create bar graphs
Bar graphs
1. Interpret bar graphs I 2. Interpret bar graphs II 3. Which bar graph is correct? 4. Create bar graphs

Pictographs		1. Interpret picture graphs 2. Create picture graphs 3. Interpret scaled picture graphs 4. Create scaled picture graphs
Pictographs
1. Interpret picture graphs 2. Create picture graphs 3. Interpret scaled picture graphs 4. Create scaled picture graphs

Venn diagrams		1. Count shapes in a Venn diagram 2. Sort shapes into a Venn diagram
Venn diagrams
1. Count shapes in a Venn diagram 2. Sort shapes into a Venn diagram

Probability		1. More, less, and equally likely 2. Certain, probable, unlikely, and impossible
Probability
1. More, less, and equally likely 2. Certain, probable, unlikely, and impossible

Combinations		1. List the combinations
Combinations
1. List the combinations