Unit 1.1 Understanding Place Value and
Properties of Operations
Essential Questions
 How does the value of a place compare to the value of the place to its immediate right? (i.e.,
 What is the relationship between two adjacent place values in base 10?
 What are some ways you can represent the value of a digit in a multidigit whole number?
 How is place value used to read and write numbers up to 1,000,000? How do the commas help you read a number?
 How is place value used to write a number in its expanded form?
 How is place value used to compare two numbers?
 What is the meaning of the symbols <, >,and =?
 What are the strategies for rounding multidigit whole numbers to any place up to 1,000,000?
 Why does that strategy make sense?
 How can you explain the rounding process using a model such as a number line?
 What role does place value play in the standard algorithm for addition and subtraction?


Unit 1.2 Multiplying with
Whole Numbers to Solve Problems
Essential Questions
• When did you use the properties of operations in your multiplication strategy?
• What information is given and what information are you trying to find? How could you record this as an equation or number sentence?
• Based on the given information, what do you expect would be a reasonable answer? How did you make that approximation?
• How did you decide what operation to use?
 What information do the numbers in a multiplication equation represent? (e.g.,number of groups, size of the group, total number)
 How could you make a multiplicative comparison statement about a set of numbers (e.g., 3, 6, and 18)?
 How could you write your comparison statement as equation? (one possible
 How do additive and multiplicative comparisons differ?
 How can you draw a rectangular array or area model to illustrate a multiplicative comparison?
 What equation represents your drawing?
• When did you use the properties of operations in your multiplication strategy?
• What information is given and what information are you trying to find? How could you record this as an equation or number sentence?
• Based on the given information, what do you expect would be a reasonable answer? How did you make that approximation?
• How did you decide what operation to use?
 Why does that operation make sense?
Unit 1.3 Factors, Multiples, and Patterns
Essential Questions
• What are the factors of a number? How do you find them?
• How can you be certain you have found all the factor pairs for a given number?
• What are the multiples of a number? How doyou find them? How many multiples does a number have?
• How is a whole number related to its factors?
• How do you determine if a number (1–100) is a multiple of a given onedigit number?
• What is the difference between a prime and composite number?
• How do you determine if a number is prime or composite?
• Given a rule, how could you generate a pattern?
• What patterns do you notice?
• What are the factors of a number? How do you find them?
• How can you be certain you have found all the factor pairs for a given number?
• What are the multiples of a number? How doyou find them? How many multiples does a number have?
• How is a whole number related to its factors?
• How do you determine if a number (1–100) is a multiple of a given onedigit number?
• What is the difference between a prime and composite number?
• How do you determine if a number is prime or composite?
• Given a rule, how could you generate a pattern?
• What patterns do you notice?


Unit 1.4 Understanding Multidigit Multiplication
Essential Questions
• How can you multiply numbers using place value?
• How can you show multiplication of whole numbers by using a graphic representation?
• What strategies can be used to multiply a twodigit number by a twodigit number?
• How can you multiply numbers using place value?
• How can you show multiplication of whole numbers by using a graphic representation?
• What strategies can be used to multiply a twodigit number by a twodigit number?

