| Full lesson | Create for a teacher a set of content for giving a lesson, beginning with the lesson plan. Each new block of materials must begin with an H1 heading (other subheaders must be H2, H3, etc). When you describe required pictures, write those descriptions in curly brackets, for example: {A picture of a triangle} |
| Which subject | Mathematics |
| What topic | Standard algorithm multiplication 3 digit x 1 digit |
| What length (min) | 30 |
| What age group | Year or Grade 4 |
| Class size | 20 |
| What curriculum | |
| Include full script | |
| Check previous homework | |
| Ask some students to presents their homework | |
| Add a physical break | |
| Add group activities | |
| Include homework | |
| Show correct answers | |
| Prepare slide templates | |
| Number of slides | 5 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Standard Algorithm Multiplication (3 Digit x 1 Digit)
Year/Grade 4
Mathematics
20
30 minutes
This lesson aligns with the Common Core State Standards for Mathematics, specifically standards related to multiplication and understanding of the base ten number system.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction to Topic | 5 min | Introduce the concept of multiplying a 3-digit number by a 1-digit number. Use examples on the whiteboard. |
| 2 | Warm-up Activity | 5 min | Distribute multiplication flashcards for quick practice. Students work in pairs to quiz each other. |
| 3 | Explanation of Algorithm | 7 min | Step-by-step demonstration of the standard algorithm on the board. Discuss carrying over numbers. |
| 4 | Printable Card Activity | 6 min | Hand out printable cards that students must fill out with a 3-digit number and perform multiplication with a 1-digit number. |
| 5 | Guided Practice | 5 min | Monitor students as they fill out their cards, offering assistance and checking understanding. |
| 6 | Random Check and Review | 2 min | Collect or randomly check the filled cards to assess understanding without presenting in front of the class. |
| 7 | Assign Homework | 1 min | Briefly explain the homework assignment, ensuring students understand the expectations. |
This lesson offers a structured approach to teaching the standard algorithm for multiplication, ensuring student engagement through interactive activities and timely feedback. The lesson supports the development of essential mathematical skills in alignment with national educational standards.
"Good morning, class! Today we are going to learn about multiplying three-digit numbers by one-digit numbers using the standard algorithm. This will help us solve bigger multiplication problems more easily. Let’s start with an example on the whiteboard.
(Write 234 x 5 on the board)
"Can anyone tell me what this means? Right! We're going to find out what 234 times 5 equals.
"Multiplication is just repeated addition. We'll learn a step-by-step method that will make this easier. Are you ready to dive in?"
"Now, before we really get started, let’s warm up our multiplication skills a bit. I’m going to pass out some multiplication flashcards.
"I want you to work in pairs. One of you will show a card, and the other will solve the problem. Then switch! Let’s spend five minutes doing this. Go ahead!"
(Distribute flashcards and time the activity)
"Alright, everyone! Let’s get serious now. I’ll show you how to use the standard algorithm step by step.
"Look at 234 x 5 again. First, we will multiply the digit in the ones place of 234, which is 4.
(Write on board: 4 x 5 = 20)
"Since 20 is two digits, we write down the 0 and carry over the 2.
"Next, we'll multiply the digit in the tens place, which is 3.
(Write on board: 3 x 5 + carried-over 2 = 15 + 2 = 17)
"Again, we have a two-digit number, so we write down the 7 and carry over the 1.
"Finally, we’ll multiply the hundreds place.
(Write on board: 2 x 5 + carried-over 1 = 10 + 1 = 11)
"Now we put it all together. What do we get? That's right! 234 x 5 = 1170.
"Does everyone understand how we carried over the numbers? Let’s practice this together before moving on."
"Great job, everyone! Now it is your turn to practice. I’m handing out printable cards.
"Each of you will write down a three-digit number and multiply it by a one-digit number using the standard algorithm we just practiced.
"Be sure to show your work clearly, including any carrying over you have to do. You have six minutes, and I will walk around to help if you need it. Let’s get started!"
(Distribute cards and monitor the activity)
"Now that you’ve filled out your cards, I will be checking in with each of you.
"As you finish, I want you to go over your work and make sure you've followed every step of the algorithm correctly.
"If you have questions or need help, just raise your hand. I’m here for you!"
(Walk around the class, assisting students)
"Okay, everyone! I need you to put your pencils down and pass your cards to the front. I’ll quickly review some of your work to assess our understanding.
"Don’t worry, this isn't about getting it right; it’s just to see how we are doing with the algorithm.
"Let me check some answers... Yes, great job on these! Remember, if you're confused about anything, please ask someone or let me know."
"Before we finish, I want to give you your homework.
"Tonight, you will have a worksheet with similar problems where you will use the standard algorithm we learned today.
"Make sure to bring it back completed for our next class. Does everyone understand? Great! Thanks for your hard work today. See you tomorrow!"
Multiply the following three-digit numbers by the one-digit number provided, using the standard algorithm. Show all your work, including carrying over where necessary.
Explain the steps involved in the standard algorithm for multiplication. What do you do when the product of two digits is a two-digit number?
Solve the following word problem using the standard algorithm:
Create your own three-digit number and a one-digit number. Use the standard algorithm to multiply them and show your work.
Review your answers from question 1. Choose one problem where you had difficulty and explain how you would approach it differently if you did it again.
Why is it important to carry over when multiplying? Provide at least one example where not carrying over would lead to an incorrect answer.
| Question | Answer |
|-----------------------------------------------------------------------------|--------|
| What does the multiplication 234 x 5 represent? | |
| What is the first digit we multiply in the problem 234 x 5? | |
| How do we handle carrying over numbers in multiplication? | |
| What do we get when we multiply the ones place digit (4) by 5? | |
| What do we do with the two digits we get from multiplying the ones place? | |
| After carrying over, what calculation do we perform with the tens place? | |
| What is the final result of 234 x 5 using the standard algorithm? | |
| Why is it important to show our work clearly when multiplying? | |
| How much time do we have for the printable card activity? | |
| What will the homework assignment involve? | |