Unlocking the Connection: Multiplication and Division
Lesson Description
Video Resource
Examples relating multiplication to division | 3rd grade | Khan Academy
Khan Academy
Key Concepts
- Inverse relationship between multiplication and division
- Fact families
- Using multiplication to solve division problems
Learning Objectives
- Students will be able to explain how multiplication and division are related.
- Students will be able to use multiplication facts to solve division problems.
- Students will be able to complete division problems with a missing number.
Educator Instructions
- Introduction (5 mins)
Begin by asking students what they already know about multiplication and division. Briefly review basic multiplication facts (up to 12x12). Ask students if they have ever noticed that multiplication and division are related. For example, 2 x 3 = 6, so 6 / 2 = 3. - Video Viewing (7 mins)
Play the Khan Academy video: 'Examples relating multiplication to division'. Instruct students to pay attention to how the video uses multiplication to figure out division problems. - Guided Practice (10 mins)
Work through example problems on the board, similar to those in the video. For example: '24 divided by 3 equals what?'. Guide students to think: '3 times what equals 24?'. Go through several examples, varying the placement of the unknown number (e.g., blank / 4 = 5, 16 / blank = 2). - Independent Practice (10 mins)
Provide students with a worksheet containing division problems where they must use multiplication to find the answer. Include a variety of problems, some with missing divisors or dividends. - Wrap-up and Assessment (3 mins)
Review the main concepts of the lesson. Have students share how they use multiplication to solve division problems. Administer a short, informal assessment (e.g., ask a quick division question to individual students).
Interactive Exercises
- Fact Family Flashcards
Create flashcards with multiplication and division problems that are related (e.g., 3 x 4 = 12, 12 / 3 = 4). Students can quiz each other using the flashcards. - Missing Number Game
Write division problems on the board with a missing number (divisor, dividend, or quotient). Students take turns filling in the missing number. For example, 35 / ___ = 7.
Discussion Questions
- How are multiplication and division related?
- Can you give an example of a multiplication fact and its related division fact?
- How can knowing your multiplication facts help you solve division problems?
Skills Developed
- Multiplication fact recall
- Division problem-solving
- Understanding inverse relationships
Multiple Choice Questions
Question 1:
Which multiplication fact can help you solve 20 ÷ 4 = ?
Correct Answer: 4 x 5 = 20
Question 2:
What number times 3 equals 18?
Correct Answer: 6
Question 3:
If 8 x 2 = 16, then 16 ÷ 8 = ?
Correct Answer: 2
Question 4:
Which number is missing? 25 ÷ ___ = 5
Correct Answer: 5
Question 5:
What division problem can you solve with 6 x 4 = 24?
Correct Answer: 24 ÷ 6 = 4
Question 6:
If a number divided by 7 is 3, what is the number?
Correct Answer: 21
Question 7:
What times 9 equals 36?
Correct Answer: 4
Question 8:
12 ÷ 2 = ?
Correct Answer: 6
Question 9:
Which multiplication problem helps you solve 49 ÷ 7 = ?
Correct Answer: 7 x 7 = 49
Question 10:
What number divided by 5 equals 4?
Correct Answer: 20
Fill in the Blank Questions
Question 1:
Multiplication and division are ___________ operations.
Correct Answer: related
Question 2:
If 5 x 6 = 30, then 30 ÷ 5 = ___________.
Correct Answer: 6
Question 3:
To solve 16 ÷ 4, you can think: 4 times what equals ___________?
Correct Answer: 16
Question 4:
9 x 3 = 27, so 27 ÷ 9 = ___________.
Correct Answer: 3
Question 5:
A ___________ family shows the relationship between multiplication and division.
Correct Answer: fact
Question 6:
15 divided by 3 is ___________.
Correct Answer: 5
Question 7:
If 7 times 4 equals 28, then 28 divided by 4 is ___________.
Correct Answer: 7
Question 8:
What times 6 equals 36? The answer is ___________.
Correct Answer: 6
Question 9:
10 x 2 = 20, so 20 ÷ 10 = ___________.
Correct Answer: 2
Question 10:
Knowing your multiplication facts helps you solve ___________ problems.
Correct Answer: division
Educational Standards
Teaching Materials
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