# Lesson 6 Multiply Two-digit Numbers and One-digit Numbers

• Let’s multiply two-digit and one-digit numbers.

## Warm-up Notice and Wonder: With and Without a Grid

What do you notice? What do you wonder?

## Problem 1

To find the value of , Tyler uses a base-ten diagram, as shown here.

1. Where is the 36 in Tyler’s diagram?

2. Where is the 4 in Tyler’s diagram?

3. What is the value of ?

## Problem 2

Here is a diagram Tyler made to find the value of .

Explain or show how his diagram helps him find the value of .

## Problem 1

Priya drew a base-ten diagram to multiply . She said it shows that the product can be found by adding 300 and 18.

1. Where do you see 6 and 53 in her diagram?

2. Where do you see 300 and 18 in Priya’s diagram? What do they represent?

## Problem 2

Han drew this diagram to multiply :

1. Where do you see 300 and 18 in his diagram? What do they represent?

2. Which diagram do you prefer for multiplying : Han’s way or Priya’s way? Explain your reasoning.

3. Find the value of .

## Problem 3

Draw a diagram to represent each multiplication expression. Then, find the value of each product.

## Problem 1

Find the value of . Use a diagram if it is helpful.