IXL Skill Plan | Florida's B.E.S.T. Standards: Grade 4

Florida's B.E.S.T. Standards: Grade 4

Skills available for Florida Grade 4 math standards

Strand

Number Sense and Operations
Fractions
Algebraic Reasoning
Measurement
Geometric Reasoning
Data Analysis and Probability

Print skill plan

NSO	Number Sense and Operations
MA.4.NSO.1 Understand place value for multi-digit numbers.
MA.4.NSO.1.1 Express how the value of a digit in a multi-digit whole number changes if the digit moves one place to the left or right.		1. Value of a digit 2. Relationship between place values
MA.4.NSO.1.1 Express how the value of a digit in a multi-digit whole number changes if the digit moves one place to the left or right.
1. Value of a digit 2. Relationship between place values

MA.4.NSO.1.2 Read and write multi-digit whole numbers from 0 to 1,000,000 using standard form, expanded form and word form.		Standard form 1. Writing numbers up to one million in digits: convert words to digits Word form 2. Writing numbers up to one million: convert between words and digits 3. Spell word names for numbers up to one million 4. Writing numbers up to one million in words: convert digits to words Expanded form 5. Convert between standard and expanded form
MA.4.NSO.1.2 Read and write multi-digit whole numbers from 0 to 1,000,000 using standard form, expanded form and word form.
Standard form 1. Writing numbers up to one million in digits: convert words to digits Word form 2. Writing numbers up to one million: convert between words and digits 3. Spell word names for numbers up to one million 4. Writing numbers up to one million in words: convert digits to words Expanded form 5. Convert between standard and expanded form

MA.4.NSO.1.3 Plot, order and compare multi-digit whole numbers up to 1,000,000.		Compare numbers 1. Compare numbers up to one million 2. Compare numbers up to one hundred thousand Order numbers 3. Order numbers up to one million
MA.4.NSO.1.3 Plot, order and compare multi-digit whole numbers up to 1,000,000.
Compare numbers 1. Compare numbers up to one million 2. Compare numbers up to one hundred thousand Order numbers 3. Order numbers up to one million

MA.4.NSO.1.4 Round whole numbers from 0 to 10,000 to the nearest 10, 100 or 1,000.		1. Round to the nearest ten, hundred, or thousand 2. Round a number to any place: up to thousands
MA.4.NSO.1.4 Round whole numbers from 0 to 10,000 to the nearest 10, 100 or 1,000.
1. Round to the nearest ten, hundred, or thousand 2. Round a number to any place: up to thousands

MA.4.NSO.1.5 Plot, order and compare decimals up to the hundredths.		Graph decimals 1. Graph decimals on number lines Compare decimals 2. Compare decimals using models 3. Compare decimals on number lines 4. Compare decimal numbers 5. Compare decimals using place value blocks Order decimals 6. Put decimal numbers in order I 7. Put decimal numbers in order using a number line 8. Put decimal numbers in order using models
MA.4.NSO.1.5 Plot, order and compare decimals up to the hundredths.
Graph decimals 1. Graph decimals on number lines Compare decimals 2. Compare decimals using models 3. Compare decimals on number lines 4. Compare decimal numbers 5. Compare decimals using place value blocks Order decimals 6. Put decimal numbers in order I 7. Put decimal numbers in order using a number line 8. Put decimal numbers in order using models
MA.4.NSO.2 Build an understanding of operations with multi-digit numbers including decimals.
MA.4.NSO.2.1 Recall multiplication facts with factors up to 12 and related division facts with automaticity.		Multiplication 1. Multiplication facts to 12 2. Multiplication facts to 12: find the missing factor 3. Squares up to 12 x 12 4. Multiplication word problems: factors up to 12 Division 5. Division facts to 12 6. Division facts to 12: find the missing number 7. Division facts to 12: word problems Multiplication and division 8. Multiplication and division facts up to 12
MA.4.NSO.2.1 Recall multiplication facts with factors up to 12 and related division facts with automaticity.
Multiplication 1. Multiplication facts to 12 2. Multiplication facts to 12: find the missing factor 3. Squares up to 12 x 12 4. Multiplication word problems: factors up to 12 Division 5. Division facts to 12 6. Division facts to 12: find the missing number 7. Division facts to 12: word problems Multiplication and division 8. Multiplication and division facts up to 12

MA.4.NSO.2.2 Multiply two whole numbers, up to three digits by up to two digits, with procedural reliability.		Multiplication strategies 1. Multiply using the distributive property 2. Use one multiplication fact to complete another Multiply 1-digit by 2-digit numbers 3. Multiply 1-digit numbers by teen numbers using grids 4. Multiply 1-digit numbers by 2-digit numbers: choose the area model 5. Multiply 1-digit numbers by 2-digit numbers using area models 6. Multiply 1-digit numbers by 2-digit numbers Multiply 1-digit by 3-digit numbers 7. Multiply 1-digit numbers by 3-digit numbers using area models I 8. Multiply 1-digit numbers by 3-digit numbers using area models II 9. Multiply 1-digit numbers by 3-digit numbers 10. Multiply 1-digit numbers by 3-digit numbers using partial products Multiply 2-digit and 3-digit numbers 11. Multiply 2-digit numbers by 2-digit numbers: choose the area model 12. Multiply by 2-digit numbers using area models 13. Multiply by 2-digit numbers using partial products 14. Multiply a 2-digit number by a 2-digit number 15. Multiply 2-digit numbers by 3-digit numbers
MA.4.NSO.2.2 Multiply two whole numbers, up to three digits by up to two digits, with procedural reliability.
Multiplication strategies 1. Multiply using the distributive property 2. Use one multiplication fact to complete another Multiply 1-digit by 2-digit numbers 3. Multiply 1-digit numbers by teen numbers using grids 4. Multiply 1-digit numbers by 2-digit numbers: choose the area model 5. Multiply 1-digit numbers by 2-digit numbers using area models 6. Multiply 1-digit numbers by 2-digit numbers Multiply 1-digit by 3-digit numbers 7. Multiply 1-digit numbers by 3-digit numbers using area models I 8. Multiply 1-digit numbers by 3-digit numbers using area models II 9. Multiply 1-digit numbers by 3-digit numbers 10. Multiply 1-digit numbers by 3-digit numbers using partial products Multiply 2-digit and 3-digit numbers 11. Multiply 2-digit numbers by 2-digit numbers: choose the area model 12. Multiply by 2-digit numbers using area models 13. Multiply by 2-digit numbers using partial products 14. Multiply a 2-digit number by a 2-digit number 15. Multiply 2-digit numbers by 3-digit numbers

MA.4.NSO.2.3 Multiply two whole numbers, each up to two digits, including using a standard algorithm with procedural fluency.		Multiply 1-digit by 2-digit numbers 1. Multiply 1-digit numbers by 2-digit numbers Multiply 2-digit by 2-digit numbers 2. Multiply a 2-digit number by a 2-digit number: complete the missing steps 3. Multiply a 2-digit number by a 2-digit number
MA.4.NSO.2.3 Multiply two whole numbers, each up to two digits, including using a standard algorithm with procedural fluency.
Multiply 1-digit by 2-digit numbers 1. Multiply 1-digit numbers by 2-digit numbers Multiply 2-digit by 2-digit numbers 2. Multiply a 2-digit number by a 2-digit number: complete the missing steps 3. Multiply a 2-digit number by a 2-digit number

MA.4.NSO.2.4 Divide a whole number up to four digits by a one-digit whole number with procedural reliability. Represent remainders as fractional parts of the divisor.		Divide 2-digit numbers 1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Divide 2-digit numbers by 1-digit numbers using area models 3. Divide 2-digit numbers by 1-digit numbers: quotients up to 10 4. Divide 2-digit numbers by 1-digit numbers 5. Divide 2-digit numbers by 1-digit numbers: complete the table 6. Divide using arrays: write remainders as fractions Divide larger numbers 7. Divide 3-digit numbers by 1-digit numbers using area models 8. Divide larger numbers by 1-digit numbers 9. Divide larger numbers by 1-digit numbers: complete the table Division strategies 10. Division patterns over increasing place values 11. Divide using the distributive property
MA.4.NSO.2.4 Divide a whole number up to four digits by a one-digit whole number with procedural reliability. Represent remainders as fractional parts of the divisor.
Divide 2-digit numbers 1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Divide 2-digit numbers by 1-digit numbers using area models 3. Divide 2-digit numbers by 1-digit numbers: quotients up to 10 4. Divide 2-digit numbers by 1-digit numbers 5. Divide 2-digit numbers by 1-digit numbers: complete the table 6. Divide using arrays: write remainders as fractions Divide larger numbers 7. Divide 3-digit numbers by 1-digit numbers using area models 8. Divide larger numbers by 1-digit numbers 9. Divide larger numbers by 1-digit numbers: complete the table Division strategies 10. Division patterns over increasing place values 11. Divide using the distributive property

MA.4.NSO.2.5 Explore the multiplication and division of multi-digit whole numbers using estimation, rounding and place value.		Estimate products 1. Estimate products: multiply by 1-digit numbers 2. Estimate products word problems: identify reasonable answers 3. Estimate products Multiply numbers ending in zeros 4. Find 10 or 100 times a number 5. Multiply by 10 or 100 6. Multiply numbers ending in zeros Estimate quotients 7. Estimate quotients using compatible numbers: 1-digit divisors 8. Estimate quotients using compatible numbers: 2-digit divisors 9. Divide by 1-digit numbers: pick the better estimate Divide numbers ending in zeros 10. Divide numbers ending in zeros by 1-digit numbers: word problems 11. Divide numbers ending in zeros
MA.4.NSO.2.5 Explore the multiplication and division of multi-digit whole numbers using estimation, rounding and place value.
Estimate products 1. Estimate products: multiply by 1-digit numbers 2. Estimate products word problems: identify reasonable answers 3. Estimate products Multiply numbers ending in zeros 4. Find 10 or 100 times a number 5. Multiply by 10 or 100 6. Multiply numbers ending in zeros Estimate quotients 7. Estimate quotients using compatible numbers: 1-digit divisors 8. Estimate quotients using compatible numbers: 2-digit divisors 9. Divide by 1-digit numbers: pick the better estimate Divide numbers ending in zeros 10. Divide numbers ending in zeros by 1-digit numbers: word problems 11. Divide numbers ending in zeros

MA.4.NSO.2.6 Identify the number that is one-tenth more, one-tenth less, one-hundredth more and one-hundredth less than a given number.		1. One-tenth or one-hundredth more or less
MA.4.NSO.2.6 Identify the number that is one-tenth more, one-tenth less, one-hundredth more and one-hundredth less than a given number.
1. One-tenth or one-hundredth more or less

MA.4.NSO.2.7 Explore the addition and subtraction of multi-digit numbers with decimals to the hundredths.		Add decimals 1. Add decimals using blocks 2. Add decimal numbers 3. Add 3 or more decimals 4. Add 3 or more decimals: word problems 5. Add decimals: word problems Subtract decimals 6. Subtract decimals using blocks 7. Subtract decimal numbers 8. Subtract decimals: word problems Add and subtract decimals 9. Add and subtract decimals 10. Add and subtract decimals: word problems 11. Choose decimals with a particular sum or difference 12. Solve decimal problems using diagrams Relate decimals to money 13. Relate decimals and money Add and subtract money 14. Add and subtract money amounts
MA.4.NSO.2.7 Explore the addition and subtraction of multi-digit numbers with decimals to the hundredths.
Add decimals 1. Add decimals using blocks 2. Add decimal numbers 3. Add 3 or more decimals 4. Add 3 or more decimals: word problems 5. Add decimals: word problems Subtract decimals 6. Subtract decimals using blocks 7. Subtract decimal numbers 8. Subtract decimals: word problems Add and subtract decimals 9. Add and subtract decimals 10. Add and subtract decimals: word problems 11. Choose decimals with a particular sum or difference 12. Solve decimal problems using diagrams Relate decimals to money 13. Relate decimals and money Add and subtract money 14. Add and subtract money amounts

FR	Fractions
MA.4.FR.1 Develop an understanding of the relationship between different fractions and the relationship between fractions and decimals.
MA.4.FR.1.1 Model and express a fraction, including mixed numbers and fractions greater than one, with the denominator 10 as an equivalent fraction with the denominator 100.		1. Fractions with denominators of 10 and 100 2. Fractions and mixed numbers with denominators of 10 and 100
MA.4.FR.1.1 Model and express a fraction, including mixed numbers and fractions greater than one, with the denominator 10 as an equivalent fraction with the denominator 100.
1. Fractions with denominators of 10 and 100 2. Fractions and mixed numbers with denominators of 10 and 100

MA.4.FR.1.2 Use decimal notation to represent fractions with denominators of 10 or 100, including mixed numbers and fractions greater than 1, and use fractional notation with denominators of 10 or 100 to represent decimals.		1. Convert fractions and mixed numbers to decimals - denominators of 10 and 100 2. Convert decimals to fractions and mixed numbers
MA.4.FR.1.2 Use decimal notation to represent fractions with denominators of 10 or 100, including mixed numbers and fractions greater than 1, and use fractional notation with denominators of 10 or 100 to represent decimals.
1. Convert fractions and mixed numbers to decimals - denominators of 10 and 100 2. Convert decimals to fractions and mixed numbers

MA.4.FR.1.3 Identify and generate equivalent fractions, including fractions greater than one. Describe how the numerator and denominator are affected when the equivalent fraction is created.		Models 1. Find equivalent fractions using area models Number lines 2. Graph equivalent fractions on number lines Equivalent fractions 3. Find equivalent fractions using multiplication and division 4. Identify equivalent fractions 5. Equivalent fractions: find the missing numerator or denominator 6. Patterns of equivalent fractions
MA.4.FR.1.3 Identify and generate equivalent fractions, including fractions greater than one. Describe how the numerator and denominator are affected when the equivalent fraction is created.
Models 1. Find equivalent fractions using area models Number lines 2. Graph equivalent fractions on number lines Equivalent fractions 3. Find equivalent fractions using multiplication and division 4. Identify equivalent fractions 5. Equivalent fractions: find the missing numerator or denominator 6. Patterns of equivalent fractions

MA.4.FR.1.4 Plot, order and compare fractions, including mixed numbers and fractions greater than one, with different numerators and different denominators.		Benchmark fractions 1. Benchmark fractions 2. Compare fractions using benchmarks: find the missing numerator 3. Compare fractions using benchmarks Compare fractions 4. Compare fractions using models 5. Compare fractions 6. Compare fractions and mixed numbers in recipes 7. Find smaller or larger fractions 8. Graph and compare fractions on number lines Compare mixed numbers 9. Compare mixed numbers Order fractions 10. Order fractions 11. Graph and order fractions on number lines
MA.4.FR.1.4 Plot, order and compare fractions, including mixed numbers and fractions greater than one, with different numerators and different denominators.
Benchmark fractions 1. Benchmark fractions 2. Compare fractions using benchmarks: find the missing numerator 3. Compare fractions using benchmarks Compare fractions 4. Compare fractions using models 5. Compare fractions 6. Compare fractions and mixed numbers in recipes 7. Find smaller or larger fractions 8. Graph and compare fractions on number lines Compare mixed numbers 9. Compare mixed numbers Order fractions 10. Order fractions 11. Graph and order fractions on number lines
MA.4.FR.2 Build a foundation of addition, subtraction and multiplication operations with fractions.
MA.4.FR.2.1 Decompose a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator in multiple ways. Demonstrate each decomposition with objects, drawings and equations.		1. Decompose fractions into unit fractions using models 2. Decompose fractions into unit fractions 3. Decompose fractions 4. Decompose fractions multiple ways
MA.4.FR.2.1 Decompose a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator in multiple ways. Demonstrate each decomposition with objects, drawings and equations.
1. Decompose fractions into unit fractions using models 2. Decompose fractions into unit fractions 3. Decompose fractions 4. Decompose fractions multiple ways

MA.4.FR.2.2 Add and subtract fractions with like denominators, including mixed numbers and fractions greater than one, with procedural reliability.		Add fractions 1. Add fractions with like denominators using area models 2. Add fractions with like denominators using strip models 3. Add fractions with like denominators using number lines 4. Add fractions with like denominators Subtract fractions 5. Subtract fractions with like denominators using area models 6. Subtract fractions with like denominators using strip models 7. Subtract fractions with like denominators using number lines 8. Subtract fractions with like denominators Add and subtract fractions 9. Add and subtract fractions with like denominators using number lines 10. Add and subtract fractions with like denominators Add and subtract mixed numbers 11. Add mixed numbers with like denominators 12. Subtract mixed numbers with like denominators 13. Add and subtract mixed numbers with like denominators
MA.4.FR.2.2 Add and subtract fractions with like denominators, including mixed numbers and fractions greater than one, with procedural reliability.
Add fractions 1. Add fractions with like denominators using area models 2. Add fractions with like denominators using strip models 3. Add fractions with like denominators using number lines 4. Add fractions with like denominators Subtract fractions 5. Subtract fractions with like denominators using area models 6. Subtract fractions with like denominators using strip models 7. Subtract fractions with like denominators using number lines 8. Subtract fractions with like denominators Add and subtract fractions 9. Add and subtract fractions with like denominators using number lines 10. Add and subtract fractions with like denominators Add and subtract mixed numbers 11. Add mixed numbers with like denominators 12. Subtract mixed numbers with like denominators 13. Add and subtract mixed numbers with like denominators

MA.4.FR.2.3 Explore the addition of a fraction with denominator of 10 to a fraction with denominator of 100 using equivalent fractions.		1. Add fractions: denominators 10 and 100
MA.4.FR.2.3 Explore the addition of a fraction with denominator of 10 to a fraction with denominator of 100 using equivalent fractions.
1. Add fractions: denominators 10 and 100

MA.4.FR.2.4 Extend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction.		Multiply unit fractions by whole numbers 1. Multiply unit fractions by whole numbers using models 2. Multiply unit fractions by whole numbers using number lines 3. Multiply unit fractions by whole numbers: sorting 4. Multiply unit fractions by whole numbers Multiply fractions by whole numbers 5. Multiply fractions by whole numbers using models 6. Multiply fractions by whole numbers using models: complete the equation 7. Multiply fractions by whole numbers: sorting 8. Fractions of a number: model and multiply 9. Multiply a fraction and a whole number 10. Multiply fractions by whole numbers using number lines
MA.4.FR.2.4 Extend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction.
Multiply unit fractions by whole numbers 1. Multiply unit fractions by whole numbers using models 2. Multiply unit fractions by whole numbers using number lines 3. Multiply unit fractions by whole numbers: sorting 4. Multiply unit fractions by whole numbers Multiply fractions by whole numbers 5. Multiply fractions by whole numbers using models 6. Multiply fractions by whole numbers using models: complete the equation 7. Multiply fractions by whole numbers: sorting 8. Fractions of a number: model and multiply 9. Multiply a fraction and a whole number 10. Multiply fractions by whole numbers using number lines

AR	Algebraic Reasoning
MA.4.AR.1 Represent and solve problems involving the four operations with whole numbers and fractions.
MA.4.AR.1.1 Solve real-world problems involving multiplication and division of whole numbers including problems in which remainders must be interpreted within the context.		Multiplication 1. Compare numbers using multiplication: word problems 2. Multiply 1-digit numbers by 2-digit numbers: word problems 3. Multiply a 2-digit number by a 2-digit number: word problems 4. Multiply 1-digit by 3-digit numbers: word problems Division 5. Divide 2-digit numbers by 1-digit numbers: interpret remainders 6. Divide 2-digit numbers by 1-digit numbers: word problems 7. Divide larger numbers by 1-digit numbers: interpret remainders 8. Divide larger numbers by 1-digit numbers: word problems 9. Divide larger numbers by 1-digit numbers: comparison word problems 10. Comparison word problems with multiplication and division: larger numbers 11. One-step word problems involving remainders 12. Multiplication and division word problems: factors up to 12 Multi-step problems 13. Multiply a 2-digit number by a 2-digit number: multi-step word problems 14. Multi-step word problems involving remainders 15. Multiply 1-digit numbers by 2-digit or 3-digit numbers: multi-step word problems
MA.4.AR.1.1 Solve real-world problems involving multiplication and division of whole numbers including problems in which remainders must be interpreted within the context.
Multiplication 1. Compare numbers using multiplication: word problems 2. Multiply 1-digit numbers by 2-digit numbers: word problems 3. Multiply a 2-digit number by a 2-digit number: word problems 4. Multiply 1-digit by 3-digit numbers: word problems Division 5. Divide 2-digit numbers by 1-digit numbers: interpret remainders 6. Divide 2-digit numbers by 1-digit numbers: word problems 7. Divide larger numbers by 1-digit numbers: interpret remainders 8. Divide larger numbers by 1-digit numbers: word problems 9. Divide larger numbers by 1-digit numbers: comparison word problems 10. Comparison word problems with multiplication and division: larger numbers 11. One-step word problems involving remainders 12. Multiplication and division word problems: factors up to 12 Multi-step problems 13. Multiply a 2-digit number by a 2-digit number: multi-step word problems 14. Multi-step word problems involving remainders 15. Multiply 1-digit numbers by 2-digit or 3-digit numbers: multi-step word problems

MA.4.AR.1.2 Solve real-world problems involving addition and subtraction of fractions with like denominators, including mixed numbers and fractions greater than one.		Add and subtract fractions 1. Add and subtract fractions with like denominators: word problems 2. Add and subtract fractions with like denominators in recipes 3. Add and subtract fractions with like denominators: multi-step word problems Add and subtract mixed numbers 4. Add and subtract mixed numbers with like denominators in recipes 5. Add and subtract mixed numbers with like denominators: word problems Add and subtract fractions and mixed numbers 6. Add and subtract fractions and mixed numbers with like denominators: multi-step word problems 7. Add and subtract fractions and mixed numbers with like denominators: word problems
MA.4.AR.1.2 Solve real-world problems involving addition and subtraction of fractions with like denominators, including mixed numbers and fractions greater than one.
Add and subtract fractions 1. Add and subtract fractions with like denominators: word problems 2. Add and subtract fractions with like denominators in recipes 3. Add and subtract fractions with like denominators: multi-step word problems Add and subtract mixed numbers 4. Add and subtract mixed numbers with like denominators in recipes 5. Add and subtract mixed numbers with like denominators: word problems Add and subtract fractions and mixed numbers 6. Add and subtract fractions and mixed numbers with like denominators: multi-step word problems 7. Add and subtract fractions and mixed numbers with like denominators: word problems

MA.4.AR.1.3 Solve real-world problems involving multiplication of a fraction by a whole number or a whole number by a fraction.		1. Multiply unit fractions by whole numbers: word problems 2. Multiply fractions by whole numbers: word problems 3. Multiply fractions by whole numbers: multi-step word problems
MA.4.AR.1.3 Solve real-world problems involving multiplication of a fraction by a whole number or a whole number by a fraction.
1. Multiply unit fractions by whole numbers: word problems 2. Multiply fractions by whole numbers: word problems 3. Multiply fractions by whole numbers: multi-step word problems
MA.4.AR.2 Demonstrate an understanding of equality and operations with whole numbers.
MA.4.AR.2.1 Determine and explain whether an equation involving any of the four operations with whole numbers is true or false.		1. Equations with mixed operations: true or false
MA.4.AR.2.1 Determine and explain whether an equation involving any of the four operations with whole numbers is true or false.
1. Equations with mixed operations: true or false

MA.4.AR.2.2 Given a mathematical or real-world context, write an equation involving multiplication or division to determine the unknown whole number with the unknown in any position.		1. Write variable equations to represent word problems: multiplication and division
MA.4.AR.2.2 Given a mathematical or real-world context, write an equation involving multiplication or division to determine the unknown whole number with the unknown in any position.
1. Write variable equations to represent word problems: multiplication and division
MA.4.AR.3 Recognize numerical patterns, including patterns that follow a given rule.
MA.4.AR.3.1 Determine factor pairs for a whole number from 0 to 144. Determine whether a whole number from 0 to 144 is prime, composite or neither.		Prime or composite 1. Prime and composite: up to 20 2. Prime and composite: up to 144 Factor pairs 3. Understand factors and factor pairs 4. Identify factors 5. Find all factor pairs of a number: up to 144 6. Choose numbers with a particular product: factors up to 12
MA.4.AR.3.1 Determine factor pairs for a whole number from 0 to 144. Determine whether a whole number from 0 to 144 is prime, composite or neither.
Prime or composite 1. Prime and composite: up to 20 2. Prime and composite: up to 144 Factor pairs 3. Understand factors and factor pairs 4. Identify factors 5. Find all factor pairs of a number: up to 144 6. Choose numbers with a particular product: factors up to 12

MA.4.AR.3.2 Generate, describe and extend a numerical pattern that follows a given rule.		Extend a pattern 1. Use a rule to complete a number pattern 2. Number patterns: word problems Describe a 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
MA.4.AR.3.2 Generate, describe and extend a numerical pattern that follows a given rule.
Extend a pattern 1. Use a rule to complete a number pattern 2. Number patterns: word problems Describe a 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

M	Measurement
MA.4.M.1 Measure the length of objects and solve problems involving measurement.
MA.4.M.1.1 Select and use appropriate tools to measure attributes of objects.		1. Measure using an inch ruler: nearest 1/8 inch 2. Measure using a centimeter ruler 3. Read a scale 4. Choose the appropriate measuring tool
MA.4.M.1.1 Select and use appropriate tools to measure attributes of objects.
1. Measure using an inch ruler: nearest 1/8 inch 2. Measure using a centimeter ruler 3. Read a scale 4. Choose the appropriate measuring tool

MA.4.M.1.2 Convert within a single system of measurement using the units: yards, feet, inches; kilometers, meters, centimeters, millimeters; pounds, ounces; kilograms, grams; gallons, quarts, pints, cups; liter, milliliter; and hours, minutes, seconds.		Customary units 1. Convert customary units of length 2. Convert customary units of weight 3. Convert customary units of volume 4. Convert customary units 5. Convert mixed measures with customary units Metric units 6. Convert mixed metric units 7. Convert metric units of volume 8. Convert metric units 9. Convert metric units of mass 10. Convert metric units of length Time 11. Convert time units: hours, minutes, and seconds 12. Convert mixed time units: hours, minutes, and seconds Customary units with fractions 13. Convert customary units of length involving mixed numbers 14. Convert customary units of volume involving fractions and mixed numbers 15. Convert customary units of weight involving fractions and mixed numbers
MA.4.M.1.2 Convert within a single system of measurement using the units: yards, feet, inches; kilometers, meters, centimeters, millimeters; pounds, ounces; kilograms, grams; gallons, quarts, pints, cups; liter, milliliter; and hours, minutes, seconds.
Customary units 1. Convert customary units of length 2. Convert customary units of weight 3. Convert customary units of volume 4. Convert customary units 5. Convert mixed measures with customary units Metric units 6. Convert mixed metric units 7. Convert metric units of volume 8. Convert metric units 9. Convert metric units of mass 10. Convert metric units of length Time 11. Convert time units: hours, minutes, and seconds 12. Convert mixed time units: hours, minutes, and seconds Customary units with fractions 13. Convert customary units of length involving mixed numbers 14. Convert customary units of volume involving fractions and mixed numbers 15. Convert customary units of weight involving fractions and mixed numbers
MA.4.M.2 Solve problems involving time and money.
MA.4.M.2.1 Solve two-step real-world problems involving distances and intervals of time using any combination of the four operations.		Measurement word problems 1. Measurement word problems 2. Measurement word problems with fractions 3. Distance or time word problems 4. Two-step measurement problems with conversions Elapsed time 5. Elapsed time: word problems 6. Find start and end times: multi-step word problems 7. Add and subtract mixed time units
MA.4.M.2.1 Solve two-step real-world problems involving distances and intervals of time using any combination of the four operations.
Measurement word problems 1. Measurement word problems 2. Measurement word problems with fractions 3. Distance or time word problems 4. Two-step measurement problems with conversions Elapsed time 5. Elapsed time: word problems 6. Find start and end times: multi-step word problems 7. Add and subtract mixed time units

MA.4.M.2.2 Solve one- and two-step addition and subtraction real-world problems involving money using decimal notation.		One-step problems 1. Find the change, price, or amount paid 2. Add and subtract money amounts: word problems Two-step problems 3. Price lists with addition and subtraction 4. Multi-step word problems with money: addition and subtraction only
MA.4.M.2.2 Solve one- and two-step addition and subtraction real-world problems involving money using decimal notation.
One-step problems 1. Find the change, price, or amount paid 2. Add and subtract money amounts: word problems Two-step problems 3. Price lists with addition and subtraction 4. Multi-step word problems with money: addition and subtraction only

GR	Geometric Reasoning
MA.4.GR.1 Draw, classify and measure angles.
MA.4.GR.1.1 Informally explore angles as an attribute of two-dimensional figures. Identify and classify angles as acute, right, obtuse, straight or reflex.		1. Angles greater than, less than, or equal to a right angle 2. Acute, right, obtuse, straight, and reflex angles 3. Angles in polygons
MA.4.GR.1.1 Informally explore angles as an attribute of two-dimensional figures. Identify and classify angles as acute, right, obtuse, straight or reflex.
1. Angles greater than, less than, or equal to a right angle 2. Acute, right, obtuse, straight, and reflex angles 3. Angles in polygons

MA.4.GR.1.2 Estimate angle measures. Using a protractor, measure angles in whole-number degrees and draw angles of specified measure in whole-number degrees. Demonstrate that angle measure is additive.		Measure angles 1. Measure angles on a circle 2. Measure angles with a protractor Draw angles 3. Draw angles with a protractor Estimate angles 4. Estimate angle measurements
MA.4.GR.1.2 Estimate angle measures. Using a protractor, measure angles in whole-number degrees and draw angles of specified measure in whole-number degrees. Demonstrate that angle measure is additive.
Measure angles 1. Measure angles on a circle 2. Measure angles with a protractor Draw angles 3. Draw angles with a protractor Estimate angles 4. Estimate angle measurements

MA.4.GR.1.3 Solve real-world and mathematical problems involving unknown whole-number angle measures. Write an equation to represent the unknown.		1. Adjacent angles 2. Angle measures: word problems 3. Solve problems involving angle measures
MA.4.GR.1.3 Solve real-world and mathematical problems involving unknown whole-number angle measures. Write an equation to represent the unknown.
1. Adjacent angles 2. Angle measures: word problems 3. Solve problems involving angle measures
MA.4.GR.2 Solve problems involving the perimeter and area of rectangles.
MA.4.GR.2.1 Solve perimeter and area mathematical and real-world problems, including problems with unknown sides, for rectangles with whole-number side lengths.		Perimeter 1. Find the perimeter of rectangles using formulas 2. Perimeter: word problems Area 3. Find the area of rectangles using formulas 4. Find the area or missing side length of a rectangle 5. Area: word problems 6. Area of complex figures 7. Area between two rectangles Area and perimeter 8. Relationship between area and perimeter 9. Area and perimeter: word problems 10. Area and perimeter of complex figures: word problems 11. Rectangles: relationship between perimeter and area word problems 12. Use area and perimeter to determine cost 13. Find the missing side length of a rectangle
MA.4.GR.2.1 Solve perimeter and area mathematical and real-world problems, including problems with unknown sides, for rectangles with whole-number side lengths.
Perimeter 1. Find the perimeter of rectangles using formulas 2. Perimeter: word problems Area 3. Find the area of rectangles using formulas 4. Find the area or missing side length of a rectangle 5. Area: word problems 6. Area of complex figures 7. Area between two rectangles Area and perimeter 8. Relationship between area and perimeter 9. Area and perimeter: word problems 10. Area and perimeter of complex figures: word problems 11. Rectangles: relationship between perimeter and area word problems 12. Use area and perimeter to determine cost 13. Find the missing side length of a rectangle

MA.4.GR.2.2 Solve problems involving rectangles with the same perimeter and different areas or with the same area and different perimeters.		1. Rectangles with the same perimeter or area 2. Relationship between area and perimeter
MA.4.GR.2.2 Solve problems involving rectangles with the same perimeter and different areas or with the same area and different perimeters.
1. Rectangles with the same perimeter or area 2. Relationship between area and perimeter

DP	Data Analysis and Probability
MA.4.DP.1 Collect, represent and interpret data and find the mode, median and range of a data set.
MA.4.DP.1.1 Collect and represent numerical data, including fractional values, using tables, stem-and-leaf plots or line plots.		Tables 1. Create frequency tables with numerical data Stem-and-leaf plots 2. Create stem-and-leaf plots Line plots 3. Create line plots with fractions 4. Create and interpret line plots with fractions
MA.4.DP.1.1 Collect and represent numerical data, including fractional values, using tables, stem-and-leaf plots or line plots.
Tables 1. Create frequency tables with numerical data Stem-and-leaf plots 2. Create stem-and-leaf plots Line plots 3. Create line plots with fractions 4. Create and interpret line plots with fractions

MA.4.DP.1.2 Determine the mode, median or range to interpret numerical data including fractional values, represented with tables, stem-and-leaf plots or line plots.		Mode 1. Find the mode 2. Interpret line plots to find the mode 3. Interpret tables to find the mode 4. Interpret stem-and-leaf plots to find the mode Median 5. Find the median 6. Interpret line plots to find the median 7. Interpret tables to find the median 8. Interpret stem-and-leaf plots to find the median Range 9. Find the range 10. Interpret line plots to find the range 11. Interpret tables to find the range 12. Interpret stem-and-leaf plots to find the range Mode, median, and range 13. Find the mode, median, or range 14. Interpret stem-and-leaf plots to find the median, mode, or range 15. Interpret tables to find the median, mode, or range 16. Interpret line plots to find the median, mode, or range 17. Interpret frequency tables to find the mode, median, or range
MA.4.DP.1.2 Determine the mode, median or range to interpret numerical data including fractional values, represented with tables, stem-and-leaf plots or line plots.
Mode 1. Find the mode 2. Interpret line plots to find the mode 3. Interpret tables to find the mode 4. Interpret stem-and-leaf plots to find the mode Median 5. Find the median 6. Interpret line plots to find the median 7. Interpret tables to find the median 8. Interpret stem-and-leaf plots to find the median Range 9. Find the range 10. Interpret line plots to find the range 11. Interpret tables to find the range 12. Interpret stem-and-leaf plots to find the range Mode, median, and range 13. Find the mode, median, or range 14. Interpret stem-and-leaf plots to find the median, mode, or range 15. Interpret tables to find the median, mode, or range 16. Interpret line plots to find the median, mode, or range 17. Interpret frequency tables to find the mode, median, or range

MA.4.DP.1.3 Solve real-world problems involving numerical data.		Tables 1. Interpret frequency tables with numerical data Stem-and-leaf plots 2. Interpret stem-and-leaf plots Line plots 3. Interpret line plots 4. Create and interpret line plots with fractions 5. Interpret line plots with fractions: multi-step problems
MA.4.DP.1.3 Solve real-world problems involving numerical data.
Tables 1. Interpret frequency tables with numerical data Stem-and-leaf plots 2. Interpret stem-and-leaf plots Line plots 3. Interpret line plots 4. Create and interpret line plots with fractions 5. Interpret line plots with fractions: multi-step problems