Mastering 2-Digit by 2-Digit Multiplication

Mathematics Grades 5th Grade 4:54 Video
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Lesson Description

Learn how to multiply two-digit numbers by two-digit numbers using the standard algorithm. This lesson breaks down the steps with clear examples and practice problems.

Video Resource

2-Digit by 2-Digit Multiplication | Math with Mr. J

Math with Mr. J

Duration: 4:54
Watch on YouTube

Key Concepts

  • Place Value
  • Partial Products
  • Standard Multiplication Algorithm

Learning Objectives

  • Students will be able to multiply two-digit numbers by two-digit numbers using the standard algorithm.
  • Students will be able to explain the importance of place value when multiplying multi-digit numbers.
  • Students will be able to identify and calculate partial products.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing single-digit multiplication and its relationship to multi-digit multiplication. Ask students to share real-world scenarios where they might need to multiply two-digit numbers (e.g., calculating the total cost of multiple items).
  • Video Viewing (10 mins)
    Play the '2-Digit by 2-Digit Multiplication | Math with Mr. J' video. Encourage students to take notes on the steps involved in the multiplication process. Pause the video at key moments to check for understanding.
  • Guided Practice (15 mins)
    Work through the examples from the video on the board, explaining each step in detail. Emphasize the importance of place value and how it affects the multiplication process. Introduce the concept of partial products and how they contribute to the final answer.
  • Independent Practice (15 mins)
    Provide students with several two-digit by two-digit multiplication problems to solve independently. Circulate around the room to provide support and answer questions. Encourage students to show their work and check their answers.
  • Review and Closure (5 mins)
    Review the key steps of two-digit by two-digit multiplication. Ask students to share their strategies for solving these problems. Summarize the importance of place value and partial products.

Interactive Exercises

  • Multiplication Game
    Use a multiplication game (online or board game) to provide students with additional practice in a fun and engaging way. Examples: Prodigy Math, Multiplication.com games.
  • Error Analysis
    Provide students with completed multiplication problems that contain errors. Ask them to identify the mistakes and correct them.

Discussion Questions

  • Why is it important to line up the digits correctly when multiplying multi-digit numbers?
  • What is a partial product, and how does it help us solve multiplication problems?
  • How can you check your answer when multiplying two-digit numbers?

Skills Developed

  • Multiplication Fluency
  • Problem-Solving
  • Critical Thinking
  • Attention to Detail

Multiple Choice Questions

Question 1:

What does 'product' mean in math?

Correct Answer: The answer to a multiplication problem

Question 2:

In the number 24, what is the value of the 2?

Correct Answer: 20

Question 3:

When multiplying 35 x 12, what is the first step?

Correct Answer: Multiply 2 x 35

Question 4:

What is the purpose of adding a zero as a placeholder when multiplying the tens digit in 2-digit multiplication?

Correct Answer: To confuse the students.

Question 5:

What are the two smaller multiplication problems you need to solve to find 23 x 14?

Correct Answer: 4 x 23 and 10 x 23

Question 6:

What are the 'partial products' of 15 x 12?

Correct Answer: 30 and 150

Question 7:

If you multiply 46 x 20, which of the following is the correct answer?

Correct Answer: 920

Question 8:

When setting up a 2-digit by 2-digit multiplication problem, it's most important to line up the:

Correct Answer: Ones places

Question 9:

In the number 68, the digit 6 represents:

Correct Answer: Sixty ones

Question 10:

Which expression shows 37 x 24 broken into partial products?

Correct Answer: (30 x 20) + (30 x 4) + (7 x 20) + (7 x 4)

Fill in the Blank Questions

Question 1:

The answer to a multiplication problem is called the ________.

Correct Answer: product

Question 2:

When multiplying 2-digit numbers, it's important to line up the ______ places.

Correct Answer: ones

Question 3:

Before multiplying the tens digit, you must add a _______ as a placeholder in the ones place.

Correct Answer: zero

Question 4:

The number 5 in 57 has a value of ______.

Correct Answer: 50

Question 5:

When multiplying 46 x 12, you first multiply 2 by 46. The next step is multiplying 10 by ______.

Correct Answer: 46

Question 6:

Numbers multiplied together are called _______.

Correct Answer: factors

Question 7:

12 x 13 = 156. If you know that, you can easily find 120 x 13, which is _______.

Correct Answer: 1560

Question 8:

The numbers we get before adding for a final answer in multiplication are called the _______ products.

Correct Answer: partial

Question 9:

If you want to solve 21 x 15, you need to multiply 1 x 21, and also 10 x _______.

Correct Answer: 21

Question 10:

The two multiplication problems you need to solve to find 44 x 22 are 2 x 44 and ______ x 44

Correct Answer: 20

Educational Standards

5.N.2.2:Divide multi-digit numbers, by one- and two-digit divisors, based on knowledge of place value, including but not limited to standard algorithms. 5.N.2.4:Construct models to solve multi-digit whole number problems requiring addition, subtraction, multiplication, and division using various representations, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.

Teaching Materials

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