Expanded Algorithm and Box Diagram

This video tutorial covers the use of the expanded algorithm to multiply two-digit numbers. It begins with an introduction to the topic and objective, followed by setting up a multiplication problem involving soccer teams. The tutorial then explains how to use a box diagram to solve the problem, breaking down numbers into partial products. The expanded algorithm is introduced as a method similar to the box diagram but without the visual aid. The video concludes with practice problems to reinforce the concepts taught.

What is the main objective of the lesson on arrays and expanded algorithm?

• To learn how to divide numbers using arrays

• To use the expanded algorithm to multiply two-digit numbers

• To understand the history of arrays

• To practice addition of large numbers

In the soccer team problem, how many players are there in total on one team?

• 16

• 5

• 15

• 11

What is the first step in solving the soccer team problem?

• Underline the question

• Eliminate unnecessary information

• Box the important words

• Circle the important numbers

How do you break down the number 15 in the box diagram method?

• Into 5 and 10

• Into 7 and 8

• Into 10 and 5

• Into 6 and 9

What is the product of 10 and 6 in the box diagram?

• 50

• 60

• 100

• 30

What is the expanded algorithm essentially?

• A method to subtract numbers

• A simplified version of the box diagram

• A method to divide numbers

• A way to add numbers quickly

In the expanded algorithm, what is the first step when multiplying 17 by 13?

• Multiply 3 by 10

• Multiply 7 by 10

• Multiply 3 by 7

• Multiply 10 by 10

What should students do after watching the example of the expanded algorithm?

• Try solving new problems on their own

• Write a summary of the lesson

• Discuss the lesson with a partner

• Create their own problems