5th Grade Multiply Multidigit Whole Numbers Lesson Plan (Math)

Topic: Multiply multidigit whole numbers

By the end of this lesson, students will be able to multiply multidigit whole numbers using the standard algorithm.

Review the concept of place value and the meaning of each digit in a number. For example, in the number 375, the 3 represents three hundred, the 7 represents seven tens, and the 5 represents five ones.
Ask students to provide examples of numbers with each possible combination of thousands, hundreds, tens, and ones. For example, 300, 3001, 30001, 30002, 3003, 30073, 300732.

Explain that to multiply multi-digit numbers, we need to break them up into separate digit groups, then multiply each group separately, and finally combine the results to get the final answer.

Write the multiplication problem on the board or display it on the projector.
Review the multiplication facts for each digit pair:
Thousands: 3 x 000 = 000
Hundreds: 3 x 100 = 300
Tens: 3 x 10 = 30
Ones: 3 x 1 = 3
For example, to multiply 373 by 57, we first break up the numbers into groups of thousands, hundreds, tens, and ones:
37: 3 x 100 = 300, 3 x 10 = 30
73: 3 x 100 = 300, 7 x 10 = 70
Next, we multiply each digit pair separately:
300 x 57 = 15,100
300 x 7 = 2100
300 x 3 = 900
Finally, we combine the results to get the final answer: 15,100 + 2100 + 900 = 17,300
Repeat the process for the remaining problems on the board.
As students work, check their work for accuracy and encourage them to explain their reasoning.
As a class, discuss any difficulties with the procedure and come up with strategies to overcome them.

Once students are comfortable with the multiplication procedure, introduce the concept of borrowing to help solve multidigit multiplication problems.
For example, to multiply 487 by 57, we first break up the numbers into groups of thousands, hundreds, tens, and ones:
48: 4 x 100 = 400, 8 x 10 = 80
87: 8 x 100 = 800, 7 x 10 = 70
Next, we multiply each digit pair separately:
400 x 57 = 19,400
800 x 7 = 5600
80 x 5 = 400
19,400 + 5600 + 400 = 22,000
However, since we have a hundreds digit of 7 in the result, we need to "borrow" one hundred from the tens place to make the number 100:
22,000 - 100 = 21,900
Finally, we combine the results to get the final answer: 21,900 + 100 = 22,000
Repeat the process for the remaining problems on the board.
As students work, check their work for accuracy and encourage them to explain their reasoning.
As a class, discuss any difficulties with the procedure and come up with strategies to overcome them.

Give students a worksheet with several multiplication problems involving multidigit whole numbers.
Have them solve the problems using the multiplication procedure and borrowing, if necessary.
Check their work for accuracy and understanding

Give students a worksheet with several multiplication problems involving multidigit whole numbers.
Have them work in pairs to solve the problems using the multiplication procedure and borrowing, if necessary.
Have them check each other's work for accuracy and understanding.
As a class, go over the problems and discuss any questions or difficulties students had.

Have students complete a set of multiplication problems on their own, using the techniques they learned in the lesson.
Encourage them to check their answers for accuracy and to explain their reasoning if they have any doubts.

Review the steps for multiplying multi-digit numbers, and ask students to share their strategies for solving these types of problems.
Encourage them to continue practicing their math skills, and remind them that there are many different ways to solve a problem, as long as they are using the correct techniques.

If possible, have students complete a brief quiz on their understanding of multiplying multi-digit whole numbers. You could also have them complete the worksheet or a worksheet of practice problems to solidify their understanding of the concept.

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