Multiplying Two-Digit Numbers: Level Up Your Math Skills!

Mathematics Grades 3rd Grade 5:26 Video
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Lesson Description

Learn how to multiply two-digit numbers using place value and carrying. Perfect for 3rd graders ready to master advanced multiplication!

Video Resource

How to Multiply 2-digit Problems

Miacademy Learning Channel

Duration: 5:26
Watch on YouTube

Key Concepts

  • Place Value (ones, tens, hundreds)
  • Multiplication as repeated addition
  • Carrying over in multiplication
  • Partial Products
  • Algorithms

Learning Objectives

  • Students will be able to multiply a two-digit number by a one-digit number using the standard algorithm.
  • Students will be able to multiply a two-digit number by another two-digit number using partial products and the standard algorithm.
  • Students will be able to explain the importance of place value when multiplying.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing basic multiplication facts and the concept of multiplication as repeated addition. Briefly discuss the importance of knowing multiplication tables. Connect it to the video 'Basic Multiplication.'
  • One-Digit Multiplication Review (10 mins)
    Work through a few examples of multiplying a two-digit number by a one-digit number, emphasizing place value and carrying. Refer back to the video example of 12 x 6.
  • Two-Digit by Two-Digit Multiplication (15 mins)
    Introduce the concept of multiplying a two-digit number by another two-digit number. Explain the process of finding partial products and adding them together. Emphasize the importance of placing a '0' as a placeholder when multiplying by the tens digit. Use the video examples of 12 x 13 and 13 x 16 as guides.
  • Practice Problems (15 mins)
    Have students work independently or in pairs to solve practice problems. Circulate to provide support and answer questions. Consider using base-ten blocks for visual learners.
  • Wrap Up (5 mins)
    Review the steps for multiplying two-digit numbers and address any remaining questions. Emphasize the importance of practice and memorizing multiplication facts.

Interactive Exercises

  • Place Value Multiplication Game
    Students use base-ten blocks to model multiplication problems and visualize the process of finding partial products.
  • Multiplication Fact Flashcards
    Practice multiplication facts using flashcards or an online game.
  • Group Problem Solving
    Divide the students into small groups and give each group a two-digit by two-digit multiplication problem to solve together, encouraging them to explain their steps to each other.

Discussion Questions

  • Why is it important to line up the numbers according to place value when multiplying?
  • What does the '0' placeholder represent when multiplying by the tens digit?
  • How is multiplication related to addition?
  • Why is it important to know your multiplication facts?

Skills Developed

  • Multiplication
  • Place Value Understanding
  • Problem Solving
  • Critical Thinking

Multiple Choice Questions

Question 1:

What is 11 x 8?

Correct Answer: 88

Question 2:

When you multiply 12 x 6, what do you need to do with the number 1 from the number 12?

Correct Answer: Carry it over

Question 3:

What is 6 x 2?

Correct Answer: 12

Question 4:

When multiplying 12 x 13, what number do you put in the one's place after multiplying 12 x 3?

Correct Answer: 6

Question 5:

Why do we put a '0' as a placeholder when multiplying by the tens digit?

Correct Answer: To show we are multiplying by a ten

Question 6:

What is the first step when multiplying 13 x 16?

Correct Answer: Multiply 3 x 6

Question 7:

In the number 78, what number is in the tens place?

Correct Answer: 7

Question 8:

When you multiply 13 x 16, what two numbers do you need to add to get the final answer?

Correct Answer: 78 and 130

Question 9:

If you need to carry a 1 when multiplying, where do you put it?

Correct Answer: On top of the next number

Question 10:

What is 13 x 1?

Correct Answer: 13

Fill in the Blank Questions

Question 1:

When multiplying, it's important to line up the numbers by their _______ _______.

Correct Answer: place value

Question 2:

When we move a group of 10 ones to the tens place, we are ______ the one.

Correct Answer: carrying

Question 3:

8 x 1 is equal to ______.

Correct Answer: 8

Question 4:

When multiplying two-digit numbers, we multiply from ______ to _______.

Correct Answer: right, left

Question 5:

1 x 12 = _______.

Correct Answer: 12

Question 6:

A place value chart can help you keep track of the _______ in a number.

Correct Answer: digits

Question 7:

6 x 1 = ______.

Correct Answer: 6

Question 8:

3 x 2 = ______.

Correct Answer: 6

Question 9:

3 x 1 = ______.

Correct Answer: 3

Question 10:

Before we can multiply 13 x 1, we need to put a _______ in the ones place.

Correct Answer: 0

Educational Standards

3.N.2.8:Use various strategies (e.g., base ten blocks, area models, arrays, repeated addition, algorithms) based on knowledge of place value, equality, and properties of addition and multiplication to multiply a two-digit factor by a one-digit factor. 3.N.2.3:Use strategies and algorithms based on knowledge of place value and equality to fluently add and subtract up to five-digit numbers (answer not to exceed 100,000). 3.N.2.1:Represent multiplication facts by modeling a variety of approaches (e.g., manipulatives, repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, skip counting).

Teaching Materials

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