# Multiplication and Division of Whole Numbers

## Objective

Multiply four-digit numbers by two-digit numbers.

## Common Core Standards

### Core Standards

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• 5.NBT.B.5 — Fluently multiply multi-digit whole numbers using the standard algorithm.

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• 4.NBT.B.4

• 4.NBT.B.5

• 5.NBT.A.1

• 5.NBT.A.2

## Criteria for Success

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1. Compute two-digit by four-digit products using the standard algorithm, relating it to the area model and partial products algorithm as needed.
2. Assess the reasonableness of an answer by rounding to estimate two-digit by four-digit products (MP.1).
3. Solve word problems involving up to four-digit by two-digit multiplication (MP.4).

## Tips for Teachers

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#### Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 1 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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### Problem 1

Solve using the standard algorithm. If you get stuck, use an area model and/or the partial products algorithm to help. Then assess the reasonableness of your answer.

1.   1,634 x 74
2.   5,803 x 46
3.   65 x 2,116

### Problem 2

Dunkin' introduced a croissant donut in November 2014. In the first three months of its debut, they sold 7,870 dozen of them per day. How many croissant donuts were sold in the first three months?

## Problem Set & Homework

#### Discussion of Problem Set

• Look at #3. How did you decide on an answer?
• Look at #6. I was able to solve by dividing the total number of toy animals in a crate by 3. Why could I do that?

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### Problem 1

62 x 8,198

#### References

PARCC Released Items Math Spring Operational 2016 Grade 5 Released ItemsQuestion #7

### Problem 2

A store has 48 boxes of games. Each box of games contains 52 games. The games are sold for \$18 each. What is the total amount of money the store can earn from selling all the games?

#### References

PARCC Released Items Math Spring Operational 2015 Grade 5 End of Year Released ItemsQuestion #34

Modified by The Match Foundation, Inc.

### Mastery Response

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