Multiply and Divide Like a Math Magician!
Lesson Description
Video Resource
Key Concepts
- Multiplication and Division as Inverse Operations
- Vocabulary for Multiplication (e.g., product, times, multiply, area, twice, double, triple)
- Vocabulary for Division (e.g., quotient, ratio, divide, equal parts)
Learning Objectives
- Students will be able to identify different words and phrases that represent multiplication.
- Students will be able to identify different words and phrases that represent division.
- Students will be able to translate simple numerical expressions involving multiplication and division into words.
Educator Instructions
- Introduction (5 mins)
Begin by discussing the concept of opposites. Introduce multiplication and division as inverse operations using the gummy bear example from the video. Briefly explain that multiplication and division 'undo' each other. - Multiplication Vocabulary (10 mins)
Introduce the multiplication symbols. Then, present the vocabulary words for multiplication (multiply, times, product, area, twice/double, triple). Show examples like '11 x 2' and translate it into 'the product of 11 and 2' or '11 times 2'. Ask students to come up with their own verbal representations of simple multiplication problems. - Division Vocabulary (10 mins)
Introduce division symbols. Present the vocabulary words for division (quotient, ratio, divide, equal parts). Show examples like '20 / 4' and translate it into '20 divided by 4' or 'the quotient of 20 and 4'. Ask students to come up with their own verbal representations of simple division problems. - Practice and Application (10 mins)
Provide a series of simple numerical expressions (e.g., 5 x 3, 16 / 2). Have students work individually or in pairs to write out these expressions using different vocabulary words. Encourage creativity and variety. - Wrap-Up (5 mins)
Review the key vocabulary words for multiplication and division. Emphasize the importance of understanding these words for future algebraic translation. Preview the next lesson where they will practice using these words to solve word problems.
Interactive Exercises
- Vocabulary Matching Game
Create a matching game where students match math symbols and numerical expressions with their verbal representations. Example: Match 'x' with 'times', and '8 x 3' with 'the product of 8 and 3'. - Whiteboard Translation
Write a numerical expression on the whiteboard (e.g., 12 / 3). Have students take turns writing different verbal representations of the same expression.
Discussion Questions
- Can you think of any other words that might mean to multiply or divide?
- Why is it important to know different words for the same math operation?
- How can knowing these words help you solve math problems?
Skills Developed
- Vocabulary acquisition
- Mathematical translation
- Critical thinking
- Problem-solving
Multiple Choice Questions
Question 1:
Which word means the SAME as 'multiply'?
Correct Answer: Times
Question 2:
What is the answer to a division problem called?
Correct Answer: Quotient
Question 3:
Which of these is NOT a word for division?
Correct Answer: Product
Question 4:
What does 'twice' mean?
Correct Answer: Multiply by 2
Question 5:
Which of these is a way to write '6 times 4'?
Correct Answer: The product of 6 and 4
Question 6:
What operation is the opposite of multiplication?
Correct Answer: Division
Question 7:
If a problem says 'equal parts', what should you do?
Correct Answer: Divide
Question 8:
Which is the same as 'double'?
Correct Answer: Multiply by two
Question 9:
Which of these means multiply?
Correct Answer: Times
Question 10:
What does it mean to find the 'ratio'?
Correct Answer: To divide two numbers
Fill in the Blank Questions
Question 1:
The answer to a multiplication problem is called the ________.
Correct Answer: product
Question 2:
When you divide something, you are splitting it into ________ parts.
Correct Answer: equal
Question 3:
The word '________' means to multiply by 3.
Correct Answer: triple
Question 4:
The opposite of multiplication is ________.
Correct Answer: division
Question 5:
Another word for dividing is to find the _________.
Correct Answer: quotient
Question 6:
When you see 'times', you should ________.
Correct Answer: multiply
Question 7:
The _________ of 5 and 2 is 10.
Correct Answer: product
Question 8:
When you ‘halve’ something, you are dividing by _________.
Correct Answer: two
Question 9:
A _________ is a way to compare two amounts by dividing.
Correct Answer: ratio
Question 10:
If something costs 'double' the price it costs _________ as much.
Correct Answer: twice
Educational Standards
Teaching Materials
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