Note: Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000. Generalize place value understanding for multi-digit whole numbers.

4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. Forexample, recognize that 700 ÷ 70 = 10 by applying concepts of place valueand division. https://learnzillion.com/lessonsets/155

4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. https://learnzillion.com/lessonsets/167

4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. https://learnzillion.com/lessonsets/360

4.NBT.6: Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. https://learnzillion.com/lessonsets/260

Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems.

4.OA.1: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. https://learnzillion.com/lessonsets/539

4.OA.2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison

4.OA.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. https://learnzillion.com/lessonsets/47

Gain familiarity with factors and multiples. 4.OA.4: Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.

Generate and analyze patterns. 4.OA.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generateterms in the resulting sequence and observe that the terms appear toalternate between odd and even numbers. Explain informally why thenumbers will continue to alternate in this way.

Number and Operations in Base TenNote: Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.Generalize place value understanding for multi-digit whole numbers.4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

Forexample, recognize that 700 ÷ 70 = 10 by applying concepts of place valueand division.https://learnzillion.com/lessonsets/155

4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

https://learnzillion.com/lessonsets/167

4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.

https://learnzillion.com/lessonsets/239

Use place value understanding and properties of operations to perform multi-digit arithmetic.4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

https://learnzillion.com/lessonsets/622

4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

https://learnzillion.com/lessonsets/360

4.NBT.6: Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

https://learnzillion.com/lessonsets/260

Operations and Algebraic ThinkingUse the four operations with whole numbers to solve problems.4.OA.1: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

https://learnzillion.com/lessonsets/539

4.OA.2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison

https://learnzillion.com/lessonsets/615

4.OA.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

https://learnzillion.com/lessonsets/47

Gain familiarity with factors and multiples.4.OA.4: Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.

https://learnzillion.com/lessonsets/123

Generate and analyze patterns.4.OA.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.

For example, given the rule “Add 3” and the starting number 1, generateterms in the resulting sequence and observe that the terms appear toalternate between odd and even numbers. Explain informally why thenumbers will continue to alternate in this way.https://learnzillion.com/lessonsets/195