Lesson Plan
Fractions: Fair Shares!
Students will be able to define what a fraction is, identify the numerator and denominator, and represent fractions visually as parts of a whole.
Understanding fractions helps us share things fairly, measure ingredients for cooking, and even understand data. It's a fundamental building block for all future math!
Audience
5th Grade Students
Time
30 minutes
Approach
Through visual examples, direct instruction, and hands-on practice.
Materials
Prep
Teacher Preparation
15 minutes
- Review the Fractions: Fair Shares! Slide Deck to familiarize yourself with the content and talking points.
- Print copies of the Fraction Fun Worksheet for each student.
- Have a few real-life examples of fractions ready (e.g., an apple to cut, a pizza box image, a chocolate bar).
- Review the Fraction Fun Answer Key.
- Ensure projector/screen is set up and working.
Step 1
Warm-up & Introduction: What's a Fair Share?
5 minutes
- Begin with a quick discussion about sharing. Ask students: 'When you share something with friends, how do you make sure everyone gets a fair share?'
- Introduce the concept of fractions as a way to describe fair shares. Use a real-life example like an apple or a pizza to demonstrate dividing it into equal parts. (Refer to Fractions: Fair Shares! Slide Deck Slide 1-2)
Step 2
Understanding Fractions: Numerator and Denominator
10 minutes
- Present the formal definition of a fraction: a part of a whole.
- Explain the two main parts of a fraction: the numerator (how many parts we have) and the denominator (how many total equal parts make up the whole).
- Use visual aids from the Fractions: Fair Shares! Slide Deck (Slides 3-6) to illustrate different fractions (e.g., 1/2, 1/4, 3/4) with shapes and objects.
- Ask students to identify the numerator and denominator in various examples.
Step 3
Visualizing Fractions: Hands-On Practice
10 minutes
- Distribute the Fraction Fun Worksheet.
- Guide students through the first few problems on the worksheet, focusing on shading parts of shapes to represent given fractions.
- Encourage students to work independently or in pairs on the remaining problems. Circulate to provide support and answer questions. (Refer to Fractions: Fair Shares! Slide Deck Slide 7-8)
Step 4
Wrap-up & Review
5 minutes
- Bring the class back together.
- Briefly review the main concepts: what a fraction is, numerator, denominator, and representing fractions visually.
- Ask students to share one thing they learned or one question they still have.
- Collect the Fraction Fun Worksheet for review. (Refer to Fractions: Fair Shares! Slide Deck Slide 9)
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Slide Deck
Fractions: Fair Shares!
How do you make sure everyone gets a fair share?
Welcome students and introduce the day's topic. Ask a relatable question about sharing.
Sharing Equally
When we share, we often want equal parts.
What does 'equal' mean?
Use a real-life example (like an apple or pizza) to demonstrate dividing into equal parts. Emphasize 'equal parts.'
What is a Fraction?
A fraction is a way to describe parts of a whole.
It tells us how many pieces we have out of the total number of pieces that make up the whole.
Introduce the formal definition of a fraction. Keep it simple and clear.
The Numerator: Top Number
The numerator is the top number of a fraction.
It tells us how many parts we are talking about or have.
Example: In 1/2, the '1' is the numerator. We have 1 part.
Explain the numerator. Use visual examples to reinforce the concept.
The Denominator: Bottom Number
The denominator is the bottom number of a fraction.
It tells us how many total EQUAL parts make up the whole.
Example: In 1/2, the '2' is the denominator. There are 2 equal parts in total.
Explain the denominator. Emphasize 'equal parts' again.
Let's See Some Fractions!
Look at these shapes. Can you identify the fraction represented?
- 1/2 (one out of two equal parts shaded)
- 1/4 (one out of four equal parts shaded)
- 3/4 (three out of four equal parts shaded)
Show various examples. Ask students to identify numerators and denominators and what they represent.
Time for Fraction Fun!
Now it's your turn to practice!
We're going to work on the Fraction Fun Worksheet.
Your task is to shade the shapes to match the fractions given.
Introduce the worksheet and explain the task. Guide them through the first problem.
Independent Practice
Work through the problems on your worksheet. Don't be afraid to ask questions!
Allow students to work independently or in pairs. Circulate and assist as needed.
Fractions: Fair Shares!
What did you learn about fractions today?
How can fractions help us in real life?
Conclude the lesson. Recap key points and ask for student takeaways.
Script
Fractions: Fair Shares! Script
Warm-up & Introduction: What's a Fair Share? (5 minutes)
(Teacher displays Fractions: Fair Shares! Slide Deck - Slide 1)
"Good morning, everyone! Today, we're going to explore something super useful in math, and in real life: Fractions! Look at our title slide: 'Fractions: Fair Shares!'"
"Let's start with a simple question: When you share something with friends – maybe a pizza, a cake, or even a bag of candies – how do you make sure everyone gets a fair share? Turn and talk to a partner for about 30 seconds about how you ensure fairness when sharing."
(Allow students to discuss.)
"Alright, class, bring it back! What were some of your ideas for ensuring a fair share?"
(Teacher calls on a few students. Expected answers: 'divide it evenly,' 'make sure everyone gets the same amount.')
(Teacher displays Fractions: Fair Shares! Slide Deck - Slide 2)
"Exactly! We want equal parts. And that's exactly what fractions help us do – describe those equal parts!"
Understanding Fractions: Numerator and Denominator (10 minutes)
(Teacher displays Fractions: Fair Shares! Slide Deck - Slide 3)
"So, what is a fraction? A fraction is a way to describe parts of a whole. It tells us how many pieces we have out of the total number of pieces that make up the whole. Think of that pizza we talked about. If you cut it into slices, each slice is a part of the whole pizza."
(Teacher displays Fractions: Fair Shares! Slide Deck - Slide 4)
"Fractions have two very important numbers. The first is the numerator. Can everyone say 'numerator'?" (Pause for response)
"The numerator is the top number of a fraction. It tells us how many parts we are talking about or have. For example, if you eat 1 slice of a 2-slice pizza, the '1' is the numerator. You have 1 part."
"Any questions about the numerator?"
(Teacher displays Fractions: Fair Shares! Slide Deck - Slide 5)
"Now for the bottom number, the denominator. Can everyone say 'denominator'?" (Pause for response)
"The denominator is the bottom number of a fraction. It tells us how many total EQUAL parts make up the whole. It's super important that the parts are equal. If our pizza has 2 equal slices, the '2' is the denominator. There are 2 equal parts in total."
"So, if the numerator tells us how many parts we have, and the denominator tells us how many equal parts make the whole, what does the fraction 1/2 really mean?"
(Teacher calls on a student. Expected answer: 'one part out of two equal parts.')
(Teacher displays Fractions: Fair Shares! Slide Deck - Slide 6)
"Fantastic! Let's look at some examples together on the screen. For each shape, tell me what fraction is being represented. Who can tell me the fraction for the first shape, where one out of two equal parts is shaded?"
"Great! What about the next one, with one out of four equal parts shaded?"
"Excellent! And the last one, three out of four equal parts shaded?"
Visualizing Fractions: Hands-On Practice (10 minutes)
(Teacher displays Fractions: Fair Shares! Slide Deck - Slide 7)
"Now that we understand what fractions are and what their parts mean, it's your turn to practice visualizing them! I'm going to hand out a worksheet called Fraction Fun Worksheet."
"Your task on this worksheet is to shade the shapes to match the fractions given. Let's do the first one together. For the first problem, you see a shape and a fraction next to it. Let's say the fraction is 1/3. What does the numerator tell us to do? (Shade one part) What does the denominator tell us? (There are three equal parts total) So we will shade one of the three equal parts."
(Teacher displays Fractions: Fair Shares! Slide Deck - Slide 8)
"Now you'll work independently or with a partner to complete the rest of the worksheet. If you have questions, raise your hand, and I'll come around to help. You have about 10 minutes for this activity. Go ahead and get started!"
(Teacher circulates, provides support, and answers questions.)
Wrap-up & Review (5 minutes)
(Teacher displays Fractions: Fair Shares! Slide Deck - Slide 9)
"Alright, mathematicians, bring your attention back up here. Pencils down. Let's quickly review what we learned today. Who can tell me, in your own words, what a fraction is?"
"Excellent! And what are the two main parts of a fraction called? What does each part tell us?"
"Fantastic explanations! Finally, give me one example of how fractions can help us in real life, outside of math class."
"Wonderful examples! You all did a great job today exploring fractions and fair shares. Please pass your Fraction Fun Worksheet to the front of your row."
"Great work, everyone! You now have a solid foundation for understanding fractions. Keep an eye out for fractions in the world around you!"
Worksheet
Fraction Fun Worksheet
Name: ____________________________
Date: _____________________________
Part 1: What Fraction Am I?
For each image, write the fraction that represents the shaded part.
-
![Circle divided into 2 equal parts, 1 shaded]
Fraction: _________ -
![Square divided into 4 equal parts, 1 shaded]
Fraction: _________ -
![Rectangle divided into 3 equal parts, 2 shaded]
Fraction: _________ -
![Circle divided into 4 equal parts, 3 shaded]
Fraction: _________ -
![Rectangle divided into 5 equal parts, 2 shaded]
Fraction: _________
Part 2: Shade the Fraction!
For each fraction, shade the corresponding part(s) of the shape.
-
1/2
![Circle divided into 2 equal parts] -
3/4
![Square divided into 4 equal parts] -
1/3
![Rectangle divided into 3 equal parts] -
2/5
![Rectangle divided into 5 equal parts] -
5/6
![Circle divided into 6 equal parts]
Answer Key
Fraction Fun Answer Key
Part 1: What Fraction Am I?
For each image, write the fraction that represents the shaded part.
-
![Circle divided into 2 equal parts, 1 shaded]
Fraction: 1/2
Thought Process: The circle is divided into 2 equal parts. 1 part is shaded. So, the fraction is 1 out of 2, or 1/2.
-
![Square divided into 4 equal parts, 1 shaded]
Fraction: 1/4
Thought Process: The square is divided into 4 equal parts. 1 part is shaded. So, the fraction is 1 out of 4, or 1/4.
-
![Rectangle divided into 3 equal parts, 2 shaded]
Fraction: 2/3
Thought Process: The rectangle is divided into 3 equal parts. 2 parts are shaded. So, the fraction is 2 out of 3, or 2/3.
-
![Circle divided into 4 equal parts, 3 shaded]
Fraction: 3/4
Thought Process: The circle is divided into 4 equal parts. 3 parts are shaded. So, the fraction is 3 out of 4, or 3/4.
-
![Rectangle divided into 5 equal parts, 2 shaded]
Fraction: 2/5
Thought Process: The rectangle is divided into 5 equal parts. 2 parts are shaded. So, the fraction is 2 out of 5, or 2/5.
Part 2: Shade the Fraction!
For each fraction, shade the corresponding part(s) of the shape.
-
1/2
Thought Process: The denominator is 2, meaning 2 equal parts. The numerator is 1, meaning 1 part should be shaded. So, shade 1 of the 2 parts.
-
3/4
Thought Process: The denominator is 4, meaning 4 equal parts. The numerator is 3, meaning 3 parts should be shaded. So, shade 3 of the 4 parts.
-
1/3
Thought Process: The denominator is 3, meaning 3 equal parts. The numerator is 1, meaning 1 part should be shaded. So, shade 1 of the 3 parts.
-
2/5
Thought Process: The denominator is 5, meaning 5 equal parts. The numerator is 2, meaning 2 parts should be shaded. So, shade 2 of the 5 parts.
-
5/6
Thought Process: The denominator is 6, meaning 6 equal parts. The numerator is 5, meaning 5 parts should be shaded. So, shade 5 of the 6 parts.