Brain Stretch! Quick Math Challenge

Instructions: Answer the following multiplication and division questions as quickly as you can!

1. What is 3 x 4?
   
   
   
2. If you have 10 cookies and share them equally among 2 friends, how many cookies does each friend get?
   
   
   
3. What is 5 x 6?
   
   
   
4. If you have 15 stickers and want to put them in groups of 3, how many groups can you make?
   
   
   
5. What is 7 x 2?
   
   
   

Teacher Script: Numbers' Building Blocks!

Warm-Up: Brain Stretch! (5 minutes)

"Good morning, future number detectives! Let's get our brains warmed up with a quick 'Brain Stretch!' activity. I've handed out a Warm-Up Activity for each of you. Please complete the few questions individually. These questions will help us remember some important math skills we'll need today."

(Allow students a few minutes to complete the warm-up. Circulate and observe.)

"Alright, let's quickly review these together. What did you get for 3 x 4? (Pause for answers). Great! How about 10 cookies shared among 2 friends? (Pause for answers). Excellent! It looks like our brains are ready for action!

Introduction: What are We Building? (5 minutes)

(Display Factors and Multiples Slide Deck - Slide 1: Welcome to Math Explorers!)

"Welcome back, math explorers! Today, we're going on an exciting adventure to unlock the secrets of numbers! Get ready to discover how numbers are built and how they connect to each other. It's like being a detective, finding clues about how numbers work!"

(Display Factors and Multiples Slide Deck - Slide 2: Our Mission: Number Detective!)

"Our mission today is to become 'Number Detectives!' By the end of this lesson, you'll be able to define what factors and multiples are, and identify them for any whole number. Why is this important? Well, understanding these concepts helps us with division, makes fractions easier, and even unlocks amazing number patterns. Plus, it's just fun to see how numbers connect!"

Exploring Factors: The Building Blocks (8 minutes)

(Display Factors and Multiples Slide Deck - Slide 3: Factors: The Building Blocks)

"Let's start with factors. Think of numbers like buildings. What are the pieces or 'building blocks' you put together to make that building? In math, factors are the numbers we multiply together to get another number. They are the numbers that divide another number evenly, with no remainder."

"For example, if we want to build the number 6, what two whole numbers can we multiply to get 6? Think, pair, share!"

(Pause for responses, guide towards 1x6 and 2x3.)

"Exactly! 1 and 6 are factors of 6. And 2 and 3 are also factors of 6. So, the factors of 6 are 1, 2, 3, and 6."

(Display Factors and Multiples Slide Deck - Slide 4: Finding Factors: Let's Build 12!)

"Let's try a slightly bigger number: 12. How do we find all its factors? A great way is to think about multiplication pairs. We can start with 1 and work our way up.

• Can we make 12 by multiplying 1 by something? Yes! 1 x 12 = 12. So, 1 and 12 are factors.
• How about 2? Can we multiply 2 by something to get 12? Yes! 2 x 6 = 12. So, 2 and 6 are factors.
• What about 3? Can we multiply 3 by something to get 12? Yes! 3 x 4 = 12. So, 3 and 4 are factors.
• Now, if we try 4, we've already found 4 as a factor with 3. This tells us we've found all the pairs!"

"So, the factors of 12 are: 1, 2, 3, 4, 6, and 12. Notice how we list them in order."

(Display Factors and Multiples Slide Deck - Slide 5: Your Turn! Factors of 8?)

"Alright, your turn! In your mind, or with a quick whisper to a neighbor, what are the factors of 8? What numbers can you multiply to get 8?"

(Give students a moment to think and respond.)

"Who can tell me the factors of 8? (Call on students). Fantastic! The factors of 8 are 1, 2, 4, and 8. You're becoming expert factor finders!

Exploring Multiples: The Chain Reaction (7 minutes)

(Display Factors and Multiples Slide Deck - Slide 6: Multiples: The Skip-Count Chain!)

"Now, let's shift gears and talk about multiples. If factors are the building blocks, then multiples are like the chain reaction that happens when you keep building with those blocks, or like skip-counting! Multiples are the numbers you get when you multiply a number by any whole number – like 1, 2, 3, 4, and so on."

"Think of skip-counting. If you skip-count by 2s, you get 2, 4, 6, 8... these are all multiples of 2!"

(Display Factors and Multiples Slide Deck - Slide 7: Finding Multiples: The 5-Chain!)

"Let's find the first few multiples of 5. This is like skip-counting by 5, or multiplying 5 by 1, then by 2, then by 3, and so on.

• 5 x 1 = 5
• 5 x 2 = 10
• 5 x 3 = 15
• 5 x 4 = 20
• 5 x 5 = 25

"So, the first five multiples of 5 are 5, 10, 15, 20, and 25. Remember, multiples can go on forever, because you can always multiply by a larger whole number!"

(Display Factors and Multiples Slide Deck - Slide 8: Your Turn! Multiples of 4?)

"Okay, your turn! What are the first five multiples of 4? Everyone, let's try skip-counting by 4s together!"

(Lead the class in skip-counting: 4, 8, 12, 16, 20. Confirm the answer.)

"Excellent! 4, 8, 12, 16, 20 are the first five multiples of 4. You've got it!"

Practice Time: Factor Finder Challenge (10 minutes)

"Now it's time to put your detective skills to the test! I'm handing out the Factor Finder Worksheet. Your task is to find factors and multiples for different numbers. You can work independently or with a partner. Remember to show your work or thinking for the factors!"

(Distribute the worksheet. Circulate, provide support, and answer questions. After about 7-8 minutes, call attention back to the front.)

"Let's go over a couple of these together. For number 1, what did you find as the factors of 9? (Call on students). And for number 3, what are the first three multiples of 6? (Call on students). Great work, everyone! We'll go over the rest of the Factor Finder Answer Key later."

Wrap-Up: Reflect & Connect (5 minutes)

(Display Factors and Multiples Slide Deck - Slide 9: Mission Accomplished!)

"Wow, you've all done an amazing job today! Let's quickly review what we learned. Who can tell me in their own words what a factor is? (Call on student). And what about a multiple? (Call on student)."

"Exactly! Factors are the numbers we multiply to make another number – the building blocks. And multiples are the numbers we get when we skip-count or multiply a number by others – the chain reaction!"

"Before you leave today, I have a quick Cool-Down Ticket for you. Please answer the question on it to show what you learned today. This will be your exit pass!"

(Distribute cool-down tickets and collect them as students leave.)

"Fantastic work today, Number Detectives! Keep noticing factors and multiples all around you!"

Factor Finder Challenge

Instructions: Show your work for finding factors, and list the correct multiples.

Part 1: Factor Focus

Find all the factors for each number. Show your multiplication pairs!

1. Factors of 9
   
   
   
   
   
   
   

2. Factors of 16
   
   
   
   
   
   
   

3. Factors of 20
   
   
   
   
   
   
   

Part 2: Multiple Mania

List the first five multiples for each number.

4. First five multiples of 3
   
   
   
   

5. First five multiples of 7
   
   
   
   

6. First five multiples of 10
   
   
   
   

Challenge Question!

7. Is 24 a multiple of 4? Explain how you know.
   
   
   
   
   
   

Factor Finder Answer Key

Part 1: Factor Focus

Find all the factors for each number. Show your multiplication pairs!

1. Factors of 9

   • 1 x 9 = 9
   • 3 x 3 = 9
   • Factors: 1, 3, 9
     
     
     
     

2. Factors of 16

   • 1 x 16 = 16
   • 2 x 8 = 16
   • 4 x 4 = 16
   • Factors: 1, 2, 4, 8, 16
     
     
     
     

3. Factors of 20

   • 1 x 20 = 20
   • 2 x 10 = 20
   • 4 x 5 = 20
   • Factors: 1, 2, 4, 5, 10, 20
     
     
     
     

Part 2: Multiple Mania

List the first five multiples for each number.

4. First five multiples of 3

   • 3 x 1 = 3
   • 3 x 2 = 6
   • 3 x 3 = 9
   • 3 x 4 = 12
   • 3 x 5 = 15
   • Multiples: 3, 6, 9, 12, 15
     
     
     
     

5. First five multiples of 7

   • 7 x 1 = 7
   • 7 x 2 = 14
   • 7 x 3 = 21
   • 7 x 4 = 28
   • 7 x 5 = 35
   • Multiples: 7, 14, 21, 28, 35
     
     
     
     

6. First five multiples of 10

   • 10 x 1 = 10
   • 10 x 2 = 20
   • 10 x 3 = 30
   • 10 x 4 = 40
   • 10 x 5 = 50
   • Multiples: 10, 20, 30, 40, 50
     
     
     
     

Challenge Question!

7. Is 24 a multiple of 4? Explain how you know.
   • Yes, 24 is a multiple of 4.
   • Explanation: Because 4 multiplied by a whole number (4 x 6) equals 24. Or, you can skip-count by 4s and 24 is one of the numbers you say: 4, 8, 12, 16, 20, 24.
     
     
     
     
     
     
     

Exit Ticket: Factor & Multiple Check

Instructions: Answer the questions below to show what you learned today!

1. List all the factors of 10.
   
   
   

2. List the first three multiples of 5.
   
   
   

3. In your own words, what is the difference between a factor and a multiple?