In this Grade 5 Illustrative Mathematics lesson, students apply multi-digit division with mixed number quotients to solve real-world problems inspired by the Guinness World Record for the longest continuous noodle, which measured approximately 10,119 feet. Students practice dividing up to four-digit dividends by two-digit divisors using strategies based on place value and the relationship between multiplication and division, while also interpreting fractional quotients in context. The lesson addresses standards 5.NBT.B.6 and 5.NF.B.3 within Chapter 4's focus on wrapping up multiplication and division with multi-digit numbers.
Section 1
Choosing Efficient Partial Quotients
When using the partial quotients method, choose numbers that are easy to multiply by the divisor, like multiples of 10 or 100.
These "friendly numbers" help you solve the problem in fewer, simpler steps.
Section 2
Combining Parts: The Distributive Property in Division
The total quotient is the sum of the partial quotients.
If a dividend is decomposed into parts, such as , the total quotient for is the sum of the partial quotients from and .
Section 3
Solving Division Word Problems
Word problems about sharing a total amount into equal groups can be solved using division.
The expression is set up as: Total Amount Size of Each Group = Number of Groups, or Total Amount Number of Groups = Size of Each Group.
To solve a word problem with division, first identify the total amount (the dividend) and the size of each group or the number of groups (the divisor). Set up the division expression to represent the situation. Use strategies like partial quotients to find the answer, which represents the unknown quantity you were asked to find.
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Section 1
Choosing Efficient Partial Quotients
When using the partial quotients method, choose numbers that are easy to multiply by the divisor, like multiples of 10 or 100.
These "friendly numbers" help you solve the problem in fewer, simpler steps.
Section 2
Combining Parts: The Distributive Property in Division
The total quotient is the sum of the partial quotients.
If a dividend is decomposed into parts, such as , the total quotient for is the sum of the partial quotients from and .
Section 3
Solving Division Word Problems
Word problems about sharing a total amount into equal groups can be solved using division.
The expression is set up as: Total Amount Size of Each Group = Number of Groups, or Total Amount Number of Groups = Size of Each Group.
To solve a word problem with division, first identify the total amount (the dividend) and the size of each group or the number of groups (the divisor). Set up the division expression to represent the situation. Use strategies like partial quotients to find the answer, which represents the unknown quantity you were asked to find.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter