Fraction Face-Off! Script

Warm-Up: What Do You Know About Fractions? (3 minutes)

Teacher: "Welcome! Today we're going to dive into something super important in math: fractions! To get us started, when you hear the word 'fraction,' what comes to mind? What do you already know or think about fractions?"

Teacher: "Great ideas! Fractions are all about parts of a whole, right? Like when we share a pizza or talk about half an hour. Today, we're going to explore a special type of fraction called 'equivalent fractions.'"

Introduction to Equivalent Fractions (7 minutes)

Teacher: "Let's jump into our Fraction Face-Off! Slide Deck. Look at this first slide. The title is 'What are Equivalent Fractions?' Can you guess what 'equivalent' might mean?"

Teacher: "That's right, 'equivalent' means equal in value or amount! So, equivalent fractions are fractions that look different but actually represent the exact same amount. Think about it like this: if I have a whole pizza and cut it into two equal slices, and you eat one slice, you've eaten 1/2 of the pizza. But what if I cut that same pizza into four equal slices instead, and you ate two slices? Did you still eat the same amount of pizza?"

Teacher: "Exactly! You still ate half the pizza. So, 1/2 and 2/4 are equivalent fractions! They look different, but they are equal. Let's look at some visuals on the next slide Fraction Face-Off! Slide Deck (slide 3)."

(Point to the visuals on the slide.)

Teacher: "What do you notice about the shaded areas in these examples? Even though the total number of pieces changes, what stays the same?"

Teacher: "Fantastic observation! The amount of the whole that is shaded remains the same. This is the key to equivalent fractions."

Guided Practice: Visual Models & Multiplication/Division (10 minutes)

Teacher: "Now that we know what equivalent fractions are, let's learn how to create them. Turn to the next slide Fraction Face-Off! Slide Deck (slide 4). One way is to multiply! If you want to find an equivalent fraction, you can multiply both the top number (the numerator) and the bottom number (the denominator) by the same exact number. Why do you think it's important to multiply both by the same number?"

Teacher: "That's right! If you only multiply one part, you change the value of the fraction. Multiplying by the same number is like multiplying by 1, so the value stays the same. Look at our example: 1/2. If we multiply the numerator by 2 and the denominator by 2, we get 2/4. Both 1/2 and 2/4 are equivalent!"

Teacher: "Let's try one together. Look at the next slide Fraction Face-Off! Slide Deck (slide 5). We have 2/3. Can you tell me what the new fraction would be if we wanted the denominator to be 6? What would we multiply by? And what would the new numerator be?"

Teacher: "Excellent! We multiply both 2 and 3 by 2 to get 4/6. So, 2/3 is equivalent to 4/6."

Teacher: "Now, let's look at another way to find equivalent fractions: division! Fraction Face-Off! Slide Deck (slide 6). This works just like multiplication, but in reverse. You can divide both the numerator and the denominator by the same exact number. Take a look at the example: 4/8. If we divide both the numerator and the denominator by 4, what do we get?"

Teacher: "Perfect! We get 1/2. So 4/8 and 1/2 are equivalent. You're simplifying the fraction, but it still has the same value."

Teacher: "Let's try one more division example on the next slide Fraction Face-Off! Slide Deck (slide 7). We have 6/9. If we want to simplify this, what's a number we can divide both 6 and 9 by? What would the equivalent fraction be?"

Teacher: "Wonderful! You can divide both by 3, resulting in 2/3. So 6/9 is equivalent to 2/3."

Independent Practice: Worksheet (7 minutes)

Teacher: "You've got this! Now, it's your turn to practice finding equivalent fractions on your own. I have a worksheet for you: Equivalent Fractions Worksheet. I'll be right here to help if you get stuck or have any questions. Take your time, and remember the strategies we just discussed: multiplying or dividing the top and bottom by the same number. Go ahead and start."

(Circulate, observe, and provide individual support as the student works.)

Cool-Down: Reflect & Review (3 minutes)

Teacher: "Alright, let's quickly go over your Equivalent Fractions Worksheet answers using our Equivalent Fractions Answer Key."

(Review answers, clarify any misconceptions.)

Teacher: "You did a great job today! Before we finish, I have one last question for you: What is one new thing you learned about equivalent fractions today, or one thing you found particularly interesting?"

Teacher: "That's a fantastic takeaway! Always remember, equivalent fractions are just different ways of writing the same amount. They are equal in value. Keep practicing, and you'll be a fraction master in no time! Great work today!"

Equivalent Fractions Worksheet

Name: ________________________

Date: ________________________

Part 1: Fill in the Missing Numbers to Create Equivalent Fractions

Hint: What did you multiply or divide the numerator or denominator by to get to the new fraction? Do the same for the other part!

1. 1/2 = ?/4
   
   
   
   

2. 2/3 = 4/?
   
   
   
   

3. 3/5 = ?/10
   
   
   
   

4. 6/8 = 3/?
   
   
   
   

5. 10/12 = ?/6
   
   
   
   

6. 4/16 = 1/?
   
   
   
   

Part 2: Draw Visual Models to Show if the Fractions are Equivalent

Draw two rectangles or circles for each problem. Shade the first fraction in one, and the second fraction in the other. Then, decide if they are equivalent.

7. Are 1/3 and 2/6 equivalent?
   
   
   
   
   
   
   
   
   
   
   
   
   Are they equivalent? (Yes/No): ________________________

8. Are 3/4 and 6/8 equivalent?
   
   
   
   
   
   
   
   
   
   
   
   
   Are they equivalent? (Yes/No): ________________________

9. Are 1/2 and 3/5 equivalent?
   
   
   
   
   
   
   
   
   
   
   
   
   Are they equivalent? (Yes/No): ________________________

Part 3: Challenge Question!

10. Explain in your own words what an equivalent fraction is and how you can find one. Use an example to help your explanation.
    
    
    
    
    
    
    
    
    
    
    
    
    

Equivalent Fractions Answer Key

Part 1: Fill in the Missing Numbers to Create Equivalent Fractions

1. 1/2 = 2/4
   Thought Process: To change 2 to 4, you multiply by 2. So, multiply the numerator (1) by 2 as well: 1 x 2 = 2.

2. 2/3 = 4/6
   Thought Process: To change 2 to 4, you multiply by 2. So, multiply the denominator (3) by 2 as well: 3 x 2 = 6.

3. 3/5 = 6/10
   Thought Process: To change 5 to 10, you multiply by 2. So, multiply the numerator (3) by 2 as well: 3 x 2 = 6.

4. 6/8 = 3/4
   Thought Process: To change 6 to 3, you divide by 2. So, divide the denominator (8) by 2 as well: 8 ÷ 2 = 4.

5. 10/12 = 5/6
   Thought Process: To change 12 to 6, you divide by 2. So, divide the numerator (10) by 2 as well: 10 ÷ 2 = 5.

6. 4/16 = 1/4
   Thought Process: To change 4 to 1, you divide by 4. So, divide the denominator (16) by 4 as well: 16 ÷ 4 = 4.

Part 2: Draw Visual Models to Show if the Fractions are Equivalent

7. Are 1/3 and 2/6 equivalent? Yes
   Visual Model: Draw a rectangle divided into 3 equal parts, with 1 shaded. Draw another identical rectangle divided into 6 equal parts, with 2 shaded. The shaded areas should be equal.
   Are they equivalent? (Yes/No): Yes

8. Are 3/4 and 6/8 equivalent? Yes
   Visual Model: Draw a rectangle divided into 4 equal parts, with 3 shaded. Draw another identical rectangle divided into 8 equal parts, with 6 shaded. The shaded areas should be equal.
   Are they equivalent? (Yes/No): Yes

9. Are 1/2 and 3/5 equivalent? No
   Visual Model: Draw a rectangle divided into 2 equal parts, with 1 shaded. Draw another identical rectangle divided into 5 equal parts, with 3 shaded. The shaded areas should clearly not be equal (1/2 is 2.5/5, not 3/5).
   Are they equivalent? (Yes/No): No

Part 3: Challenge Question!

10. Explain in your own words what an equivalent fraction is and how you can find one. Use an example to help your explanation.
    Explanation: An equivalent fraction is a fraction that represents the same amount or value as another fraction, even though the numbers (numerator and denominator) are different. You can find an equivalent fraction by multiplying or dividing both the numerator and the denominator by the same non-zero number. If you only change one part, you change the value of the fraction.
    Example: If you have 1/3, you can multiply both the top and bottom by 2 to get 2/6. Both 1/3 and 2/6 represent the same amount of a whole. Or, if you have 4/10, you can divide both the top and bottom by 2 to get 2/5. Both 4/10 and 2/5 represent the same amount of a whole.