IXL Skill Plan | German mathematics curriculum: Grade 4

German mathematics curriculum: Grade 4

Skills available for Germany Grade 4 math curriculum

Domain

Numbers and operations
Geometry
Patterns and structures
Measurement
Data and probability

Print skill plan

Numbers and operations
Place value		1. Place value models 2. Identify place value names to hundred thousands 3. Value of a digit: up to 100,000 4. Value of a digit 5. Convert between standard and expanded form 6. Convert between place values 7. Relationship between place values
Place value
1. Place value models 2. Identify place value names to hundred thousands 3. Value of a digit: up to 100,000 4. Value of a digit 5. Convert between standard and expanded form 6. Convert between place values 7. Relationship between place values

Comparing and ordering		1. Compare numbers up to one hundred thousand 2. Compare numbers up to one million 3. Order numbers up to one million
Comparing and ordering
1. Compare numbers up to one hundred thousand 2. Compare numbers up to one million 3. Order numbers up to one million

Rounding		1. Round using a number line 2. Round to the nearest ten, hundred, or thousand 3. Rounding: up to hundred thousands place 4. Rounding input/output tables
Rounding
1. Round using a number line 2. Round to the nearest ten, hundred, or thousand 3. Rounding: up to hundred thousands place 4. Rounding input/output tables

Addition		Addition fluency 1. Add two numbers up to three digits 2. Add using compensation: up to 3 digits 3. Use expanded form to add three-digit numbers 4. Add two numbers up to four digits 5. Add two multi-digit numbers 6. Add numbers up to six digits 7. Addition: find the missing digits 8. Add three numbers up to five digits each 9. Add three numbers up to six digits each Word problems 10. Add two numbers up to three digits: word problems 11. Add three numbers up to three digits each: word problems 12. Add two numbers up to six digits: word problems 13. Multi-step addition word problems
Addition
Addition fluency 1. Add two numbers up to three digits 2. Add using compensation: up to 3 digits 3. Use expanded form to add three-digit numbers 4. Add two numbers up to four digits 5. Add two multi-digit numbers 6. Add numbers up to six digits 7. Addition: find the missing digits 8. Add three numbers up to five digits each 9. Add three numbers up to six digits each Word problems 10. Add two numbers up to three digits: word problems 11. Add three numbers up to three digits each: word problems 12. Add two numbers up to six digits: word problems 13. Multi-step addition word problems

Subtraction		Subtraction fluency 1. Subtract two numbers up to three digits 2. Subtract using compensation: up to 3 digits 3. Subtract two numbers up to four digits 4. Subtract numbers up to six digits 5. Subtraction: find the missing digits Word problems 6. Subtract two numbers up to three digits: word problems 7. Subtract two numbers up to four digits: word problems 8. Subtract numbers up to six digits: word problems
Subtraction
Subtraction fluency 1. Subtract two numbers up to three digits 2. Subtract using compensation: up to 3 digits 3. Subtract two numbers up to four digits 4. Subtract numbers up to six digits 5. Subtraction: find the missing digits Word problems 6. Subtract two numbers up to three digits: word problems 7. Subtract two numbers up to four digits: word problems 8. Subtract numbers up to six digits: word problems

Multiplication
Multiplication

Multiplication facts up to 12		Multiplication fluency 1. Multiplication facts for 2, 3, 4, 5, and 10 2. Multiplication facts for 6, 7, 8, and 9 3. Multiplication facts to 10 4. Squares up to 10 x 10 5. Multiplication facts to 12 6. Multiplication input/output tables 7. Multiplication input/output tables: find the rule With models 8. Multiply one-digit numbers using grids Factors and multiples 9. Choose the multiples of a given number up to 10 10. Choose the multiples of a given number up to 12 11. Identify factors 12. Choose numbers with a particular product 13. Find all the factor pairs of a number Word problems 14. Multiplication word problems: factors up to 10 15. Multiplication word problems: find the missing factor 16. Compare numbers using multiplication: word problems
Multiplication facts up to 12
Multiplication fluency 1. Multiplication facts for 2, 3, 4, 5, and 10 2. Multiplication facts for 6, 7, 8, and 9 3. Multiplication facts to 10 4. Squares up to 10 x 10 5. Multiplication facts to 12 6. Multiplication input/output tables 7. Multiplication input/output tables: find the rule With models 8. Multiply one-digit numbers using grids Factors and multiples 9. Choose the multiples of a given number up to 10 10. Choose the multiples of a given number up to 12 11. Identify factors 12. Choose numbers with a particular product 13. Find all the factor pairs of a number Word problems 14. Multiplication word problems: factors up to 10 15. Multiplication word problems: find the missing factor 16. Compare numbers using multiplication: word problems
Multiply 1-digit numbers by 2-digit numbers		With models 1. Multiply 1-digit numbers by teen numbers using grids 2. Multiply 1-digit numbers by 2-digit numbers: choose the area model 3. Multiply 1-digit numbers by 2-digit numbers using area models Without models 4. Multiply 1-digit numbers by 2-digit numbers using the distributive property 5. Multiply 1-digit numbers by 2-digit numbers using partial products 6. Multiply 1-digit numbers by 2-digit numbers Word problems 7. Multiply 1-digit numbers by 2-digit numbers: word problems 8. Multiply three or more numbers: word problems
Multiply 1-digit numbers by 2-digit numbers
With models 1. Multiply 1-digit numbers by teen numbers using grids 2. Multiply 1-digit numbers by 2-digit numbers: choose the area model 3. Multiply 1-digit numbers by 2-digit numbers using area models Without models 4. Multiply 1-digit numbers by 2-digit numbers using the distributive property 5. Multiply 1-digit numbers by 2-digit numbers using partial products 6. Multiply 1-digit numbers by 2-digit numbers Word problems 7. Multiply 1-digit numbers by 2-digit numbers: word problems 8. Multiply three or more numbers: word problems
Multiply 1-digit numbers by numbers with 3 or more digits		With models 1. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models Without models 3. Multiply by multiples of ten 4. Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form 5. Multiply 1-digit numbers by 3-digit numbers using partial products 6. Multiply 1-digit numbers by 3-digit or 4-digit numbers 7. Multiply 1-digit numbers by larger numbers Word problems 8. Multiply two multiples of ten: word problems 9. Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems
Multiply 1-digit numbers by numbers with 3 or more digits
With models 1. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models Without models 3. Multiply by multiples of ten 4. Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form 5. Multiply 1-digit numbers by 3-digit numbers using partial products 6. Multiply 1-digit numbers by 3-digit or 4-digit numbers 7. Multiply 1-digit numbers by larger numbers Word problems 8. Multiply two multiples of ten: word problems 9. Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems
Multiply 2-digit numbers by numbers with 2 or more digits		With models 1. Multiply 2-digit numbers by 2-digit numbers: choose the area model 2. Multiply 2-digit numbers by 2-digit numbers using area models Without models 3. Multiply by 10 or 100 4. Multiply 2-digit numbers by 2-digit numbers using the distributive property 5. Multiply 2-digit numbers by 2-digit numbers using partial products 6. Multiply a 2-digit number by a 2-digit number: complete the missing steps 7. Multiply a 2-digit number by a 2-digit number 8. Multiply a 2-digit number by a larger number Word problems 9. Multiply a 2-digit number by a 2-digit number: word problems 10. Multiply a 2-digit number by a larger number: word problems
Multiply 2-digit numbers by numbers with 2 or more digits
With models 1. Multiply 2-digit numbers by 2-digit numbers: choose the area model 2. Multiply 2-digit numbers by 2-digit numbers using area models Without models 3. Multiply by 10 or 100 4. Multiply 2-digit numbers by 2-digit numbers using the distributive property 5. Multiply 2-digit numbers by 2-digit numbers using partial products 6. Multiply a 2-digit number by a 2-digit number: complete the missing steps 7. Multiply a 2-digit number by a 2-digit number 8. Multiply a 2-digit number by a larger number Word problems 9. Multiply a 2-digit number by a 2-digit number: word problems 10. Multiply a 2-digit number by a larger number: word problems

Division
Division

Division facts up to 12		Division fluency 1. Division facts for 6, 7, 8, and 9 2. Division facts to 10 3. Division facts to 12 4. Divide numbers ending in zeros by 1-digit numbers Divisibility 5. Divisibility rules for 2, 5, and 10 6. Divisibility rules for 3, 6, and 9 7. Divisibility rules for 4 and 8 Word problems 8. Division facts to 10: word problems 9. Division facts to 12: word problems
Division facts up to 12
Division fluency 1. Division facts for 6, 7, 8, and 9 2. Division facts to 10 3. Division facts to 12 4. Divide numbers ending in zeros by 1-digit numbers Divisibility 5. Divisibility rules for 2, 5, and 10 6. Divisibility rules for 3, 6, and 9 7. Divisibility rules for 4 and 8 Word problems 8. Division facts to 10: word problems 9. Division facts to 12: word problems
Division with larger numbers: without remainders		With models 1. Divide 2-digit numbers by 1-digit numbers using area models 2. Divide 3-digit numbers by 1-digit numbers using area models Without models 3. Divide numbers ending in zeros by multiples of ten 4. Divide using the distributive property 5. Divide using partial quotients 6. Divide 3-digit numbers by 1-digit numbers: without remainders 7. Divide 4-digit numbers by 1-digit numbers: without remainders Word problems 8. Divide numbers ending in zeros by multiples of ten: word problems 9. Divide 2-digit numbers by 1-digit numbers: word problems 10. Divide larger numbers by 1-digit numbers: word problems without remainders
Division with larger numbers: without remainders
With models 1. Divide 2-digit numbers by 1-digit numbers using area models 2. Divide 3-digit numbers by 1-digit numbers using area models Without models 3. Divide numbers ending in zeros by multiples of ten 4. Divide using the distributive property 5. Divide using partial quotients 6. Divide 3-digit numbers by 1-digit numbers: without remainders 7. Divide 4-digit numbers by 1-digit numbers: without remainders Word problems 8. Divide numbers ending in zeros by multiples of ten: word problems 9. Divide 2-digit numbers by 1-digit numbers: word problems 10. Divide larger numbers by 1-digit numbers: word problems without remainders
Division with larger numbers: with remainders		With models 1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Pick the model that shows a division expression 3. Divide 2-digit numbers by 1-digit numbers: quotients up to 10 Without models 4. Divide using partial quotients with remainders 5. Divide numbers up to 4 digits by 1-digit numbers 6. Divide 2-digit numbers by 1-digit numbers 7. Divide 3-digit numbers by 1-digit numbers 8. Divide 4-digit numbers by 1-digit numbers Word problems 9. Divide 2-digit numbers by 1-digit numbers: interpret remainders 10. One-step word problems involving remainders 11. Divide 2-digit numbers by 1-digit numbers: word problems with remainders 12. Divide larger numbers by 1-digit numbers: interpret remainders 13. Divide larger numbers by 1-digit numbers: word problems
Division with larger numbers: with remainders
With models 1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Pick the model that shows a division expression 3. Divide 2-digit numbers by 1-digit numbers: quotients up to 10 Without models 4. Divide using partial quotients with remainders 5. Divide numbers up to 4 digits by 1-digit numbers 6. Divide 2-digit numbers by 1-digit numbers 7. Divide 3-digit numbers by 1-digit numbers 8. Divide 4-digit numbers by 1-digit numbers Word problems 9. Divide 2-digit numbers by 1-digit numbers: interpret remainders 10. One-step word problems involving remainders 11. Divide 2-digit numbers by 1-digit numbers: word problems with remainders 12. Divide larger numbers by 1-digit numbers: interpret remainders 13. Divide larger numbers by 1-digit numbers: word problems

Mixed operations
Mixed operations

Addition, subtraction, multliplication, and division		1. Add and subtract numbers ending in zeros 2. Add and subtract numbers up to six digits 3. Multiplication and division sentences up to 12: true or false? 4. Multiply and divide numbers ending in zero 5. Add, subtract, multiply, and divide 6. Input/output tables with addition, subtraction, multiplication, and division 7. Inequalities involving addition, subtraction, multiplication, and division
Addition, subtraction, multliplication, and division
1. Add and subtract numbers ending in zeros 2. Add and subtract numbers up to six digits 3. Multiplication and division sentences up to 12: true or false? 4. Multiply and divide numbers ending in zero 5. Add, subtract, multiply, and divide 6. Input/output tables with addition, subtraction, multiplication, and division 7. Inequalities involving addition, subtraction, multiplication, and division
Word problems		One-step 1. Comparison word problems with addition and subtraction 2. Comparison word problems: addition or multiplication? 3. Addition, subtraction, multiplication, and division word problems Multi-step 4. Word problems with extra or missing information 5. Solve word problems using guess-and-check 6. Multi-step word problems involving subtraction 7. Multiply 1-digit numbers by 2-digit numbers: multi-step word problems 8. Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems 9. Multiply a 2-digit number by a 2-digit number: multi-step word problems 10. Multi-step word problems 11. Multi-step word problems involving remainders
Word problems
One-step 1. Comparison word problems with addition and subtraction 2. Comparison word problems: addition or multiplication? 3. Addition, subtraction, multiplication, and division word problems Multi-step 4. Word problems with extra or missing information 5. Solve word problems using guess-and-check 6. Multi-step word problems involving subtraction 7. Multiply 1-digit numbers by 2-digit numbers: multi-step word problems 8. Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems 9. Multiply a 2-digit number by a 2-digit number: multi-step word problems 10. Multi-step word problems 11. Multi-step word problems involving remainders

Estimation		Addition 1. Estimate sums using compatible numbers 2. Estimate sums: numbers up to three digits 3. Estimate sums: up to six digits 4. Estimate sums: word problems Subtraction 5. Estimate differences using compatible numbers 6. Estimate differences: numbers up to three digits 7. Estimate differences: up to six digits 8. Estimate differences: word problems Multiplication 9. Estimate products: multiply by 1-digit numbers 10. Estimate products: multiply by 2-digit numbers 11. Estimate products: word problems Division 12. Estimate quotients using compatible numbers: 1-digit divisors 13. Estimate quotients 14. Divide by 1-digit numbers: pick the better estimate Mixed operations 15. Estimate sums, differences, products, and quotients: word problems 16. Multi-step word problems: identify reasonable answers
Estimation
Addition 1. Estimate sums using compatible numbers 2. Estimate sums: numbers up to three digits 3. Estimate sums: up to six digits 4. Estimate sums: word problems Subtraction 5. Estimate differences using compatible numbers 6. Estimate differences: numbers up to three digits 7. Estimate differences: up to six digits 8. Estimate differences: word problems Multiplication 9. Estimate products: multiply by 1-digit numbers 10. Estimate products: multiply by 2-digit numbers 11. Estimate products: word problems Division 12. Estimate quotients using compatible numbers: 1-digit divisors 13. Estimate quotients 14. Divide by 1-digit numbers: pick the better estimate Mixed operations 15. Estimate sums, differences, products, and quotients: word problems 16. Multi-step word problems: identify reasonable answers

Properties		Addition properties 1. Properties of addition 2. Add using properties Multiplication properties 3. Properties of multiplication Related facts 4. Relate addition and multiplication 5. Relate multiplication and division: up to 100 6. Relate multiplication and division Distributive property 7. Distributive property: fill in the missing factor Order of operations 8. Perform multiple operations with whole numbers 9. Evaluate numerical expressions with parentheses
Properties
Addition properties 1. Properties of addition 2. Add using properties Multiplication properties 3. Properties of multiplication Related facts 4. Relate addition and multiplication 5. Relate multiplication and division: up to 100 6. Relate multiplication and division Distributive property 7. Distributive property: fill in the missing factor Order of operations 8. Perform multiple operations with whole numbers 9. Evaluate numerical expressions with parentheses

Geometry
Angles and lines		1. Angles greater than, less than, or equal to a right angle 2. Acute, right, obtuse, and straight angles 3. Points, lines, line segments, rays, and angles 4. Parallel, perpendicular, and intersecting lines 5. Identify parallel, perpendicular, and intersecting lines
Angles and lines
1. Angles greater than, less than, or equal to a right angle 2. Acute, right, obtuse, and straight angles 3. Points, lines, line segments, rays, and angles 4. Parallel, perpendicular, and intersecting lines 5. Identify parallel, perpendicular, and intersecting lines

Quadrilaterals		1. Parallel sides in quadrilaterals 2. Sides and angles of quadrilaterals 3. Identify parallelograms 4. Identify trapezoids 5. Identify rectangles 6. Identify rhombuses 7. Classify quadrilaterals 8. Pick all the names for a quadrilateral 9. Draw quadrilaterals
Quadrilaterals
1. Parallel sides in quadrilaterals 2. Sides and angles of quadrilaterals 3. Identify parallelograms 4. Identify trapezoids 5. Identify rectangles 6. Identify rhombuses 7. Classify quadrilaterals 8. Pick all the names for a quadrilateral 9. Draw quadrilaterals

Three-dimensional shapes		1. Identify three-dimensional figures 2. Count vertices, edges, and faces 3. Identify faces of three-dimensional figures 4. Properties of three-dimensional figures 5. Nets of rectangular prisms 6. Nets of three-dimensional figures 7. Volume 8. Three-dimensional figures viewed from different perspectives
Three-dimensional shapes
1. Identify three-dimensional figures 2. Count vertices, edges, and faces 3. Identify faces of three-dimensional figures 4. Properties of three-dimensional figures 5. Nets of rectangular prisms 6. Nets of three-dimensional figures 7. Volume 8. Three-dimensional figures viewed from different perspectives

Symmetry and transformations		1. Identify lines of symmetry 2. Draw lines of symmetry 3. Count lines of symmetry 4. Reflection, rotation, and translation
Symmetry and transformations
1. Identify lines of symmetry 2. Draw lines of symmetry 3. Count lines of symmetry 4. Reflection, rotation, and translation

Perimeter		1. Find the perimeter of rectangles using formulas 2. Perimeter of polygons
Perimeter
1. Find the perimeter of rectangles using formulas 2. Perimeter of polygons

Area		1. Area of figures on grids 2. Create figures with a given area 3. Tile a rectangle and find the area 4. Multiply to find the area of a rectangle made of unit squares 5. Create rectangles with a given area 6. Find the area or missing side length of a rectangle
Area
1. Area of figures on grids 2. Create figures with a given area 3. Tile a rectangle and find the area 4. Multiply to find the area of a rectangle made of unit squares 5. Create rectangles with a given area 6. Find the area or missing side length of a rectangle

Patterns and structures
Patterns with shapes		1. Complete a repeating pattern 2. Make a repeating pattern 3. Find the next row in a growing pattern of shapes 4. Extend growing shape patterns
Patterns with shapes
1. Complete a repeating pattern 2. Make a repeating pattern 3. Find the next row in a growing pattern of shapes 4. Extend growing shape patterns

Patterns with numbers		1. Select even or odd numbers 2. Use a rule to complete a number pattern 3. What is true about the given pattern? 4. What is true about the pattern made by the rule? 5. Identify mistakes in number patterns 6. Complete the addition pattern 7. Complete an increasing number pattern 8. Complete a multiplication number pattern 9. Number patterns: word problems 10. Multiplication and division: real-world patterns
Patterns with numbers
1. Select even or odd numbers 2. Use a rule to complete a number pattern 3. What is true about the given pattern? 4. What is true about the pattern made by the rule? 5. Identify mistakes in number patterns 6. Complete the addition pattern 7. Complete an increasing number pattern 8. Complete a multiplication number pattern 9. Number patterns: word problems 10. Multiplication and division: real-world patterns

Patterns with place value		1. Addition patterns over increasing place values 2. Subtraction patterns over increasing place values 3. Multiplication patterns: multiples of 10 and 100 4. Multiplication patterns over increasing place values 5. Division patterns over increasing place values: up to thousands 6. Division patterns over increasing place values
Patterns with place value
1. Addition patterns over increasing place values 2. Subtraction patterns over increasing place values 3. Multiplication patterns: multiples of 10 and 100 4. Multiplication patterns over increasing place values 5. Division patterns over increasing place values: up to thousands 6. Division patterns over increasing place values

Expressions and equations
Expressions and equations

Addition and subtraction		1. Complete the addition sentence: sums to 20 2. Complete the subtraction sentence: up to 18 3. Complete the addition sentence: sums to 100 4. Complete the addition sentence 5. Complete the subtraction sentence 6. Which number makes the addition equation true? 7. Which number makes the subtraction equation true? 8. Balance addition equations 9. Balance subtraction equations
Addition and subtraction
1. Complete the addition sentence: sums to 20 2. Complete the subtraction sentence: up to 18 3. Complete the addition sentence: sums to 100 4. Complete the addition sentence 5. Complete the subtraction sentence 6. Which number makes the addition equation true? 7. Which number makes the subtraction equation true? 8. Balance addition equations 9. Balance subtraction equations
Multiplication and divison		1. Multiplication facts to 10: find the missing factor 2. Multiplication facts to 12: find the missing factor 3. Division facts up to 12: find the missing number 4. Multiplication and division facts up to 12: find the missing number
Multiplication and divison
1. Multiplication facts to 10: find the missing factor 2. Multiplication facts to 12: find the missing factor 3. Division facts up to 12: find the missing number 4. Multiplication and division facts up to 12: find the missing number
Variables		One-step word problems 1. Write variable expressions: word problems 2. Write variable equations to represent word problems: multiplication and division 3. Write equations to represent word problems 4. Write and solve addition and subtraction equations using diagrams: word problems Multi-step word problems 5. Use strip diagrams to represent and solve multi-step word problems 6. Multi-step word problems with strip diagrams
Variables
One-step word problems 1. Write variable expressions: word problems 2. Write variable equations to represent word problems: multiplication and division 3. Write equations to represent word problems 4. Write and solve addition and subtraction equations using diagrams: word problems Multi-step word problems 5. Use strip diagrams to represent and solve multi-step word problems 6. Multi-step word problems with strip diagrams

Measurement
Measurement tools		1. Choose the appropriate measuring tool 2. Measure using a centimeter ruler 3. Measure liquid volumes - metric units
Measurement tools
1. Choose the appropriate measuring tool 2. Measure using a centimeter ruler 3. Measure liquid volumes - metric units

Length		1. Which metric unit of length is appropriate? 2. Compare and convert metric units of length
Length
1. Which metric unit of length is appropriate? 2. Compare and convert metric units of length

Weight		1. Which metric unit of mass is appropriate? 2. Compare and convert metric units of mass
Weight
1. Which metric unit of mass is appropriate? 2. Compare and convert metric units of mass

Volume		1. Which metric unit of volume is appropriate? 2. Compare and convert metric units of volume
Volume
1. Which metric unit of volume is appropriate? 2. Compare and convert metric units of volume

Money		1. Count money word problems 2. Making change - up to €50
Money
1. Count money word problems 2. Making change - up to €50

Time		Telling time 1. Read clocks and write times Units of time 2. Convert units of time 3. Convert mixed time units: hours, minutes, and seconds 4. Convert mixed time units 5. Add and subtract mixed time units Elapsed time 6. Elapsed time 7. Find end times: word problems 8. Elapsed time: word problems 9. Find start and end times: multi-step word problems
Time
Telling time 1. Read clocks and write times Units of time 2. Convert units of time 3. Convert mixed time units: hours, minutes, and seconds 4. Convert mixed time units 5. Add and subtract mixed time units Elapsed time 6. Elapsed time 7. Find end times: word problems 8. Elapsed time: word problems 9. Find start and end times: multi-step word problems

Mixed units		1. Which metric unit is appropriate? 2. Compare and convert metric units 3. Convert mixed metric units 4. Add and subtract mixed metric units
Mixed units
1. Which metric unit is appropriate? 2. Compare and convert metric units 3. Convert mixed metric units 4. Add and subtract mixed metric units

Word problems		1. Measurement word problems
Word problems
1. Measurement word problems

Data and probability
Tables and charts		1. Read a table
Tables and charts
1. Read a table

Bar graphs		1. Interpret bar graphs: one-step problems 2. Interpret bar graphs 3. Interpret bar graphs: multi-step problems 4. Create bar graphs
Bar graphs
1. Interpret bar graphs: one-step problems 2. Interpret bar graphs 3. Interpret bar graphs: multi-step problems 4. Create bar graphs

Frequency charts		1. Interpret frequency tables 2. Create frequency tables
Frequency charts
1. Interpret frequency tables 2. Create frequency tables

Line plots		1. Interpret line plots 2. Create line plots with whole numbers
Line plots
1. Interpret line plots 2. Create line plots with whole numbers

Line graphs		1. Interpret line graphs 2. Create line graphs
Line graphs
1. Interpret line graphs 2. Create line graphs

Probability		1. Understanding probability
Probability
1. Understanding probability

Combinations		1. Combinations
Combinations
1. Combinations