| Full lesson | Create for a teacher a set of content for giving a lesson, beginning with the lesson plan. Each new block of materials must begin with an H1 heading (other subheaders must be H2, H3, etc). When you describe required pictures, write those descriptions in curly brackets, for example: {A picture of a triangle} |
| Which subject | Mathematics |
| What topic | Fractions basics, add subtract, multiply and divide fractions |
| What length (min) | 30 |
| What age group | Year or Grade 7 |
| Class size | 10 |
| What curriculum | |
| Include full script | |
| Check previous homework | |
| Ask some students to presents their homework | |
| Add a physical break | |
| Add group activities | |
| Include homework | |
| Show correct answers | |
| Prepare slide templates | |
| Number of slides | 10 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Fractions Basics: Adding, Subtracting, Multiplying, and Dividing Fractions
Year/Grade 7
Mathematics
10 students
This lesson plan is designed to meet the mathematical standards outlined in the national curriculum for Grade 7 students, focusing on understanding and working with fractions.
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Introduction | 5 | Introduce the topic of fractions, defining terms. Discuss the importance of fractions in mathematics. |
| 2 | Adding Fractions | 7 | Explain how to add fractions with like and unlike denominators, providing examples on the whiteboard. |
| 3 | Subtracting Fractions | 7 | Teach how to subtract fractions using similar methods as adding fractions. Include examples and solve together. |
| 4 | Multiplying and Dividing | 5 | Introduce multiplication and division of fractions, explaining the reciprocal for division. Provide examples on the board. |
| 5 | Activity: Printable Cards | 3 | Distribute printable cards to students and explain the task that they will fill during the lesson based on examples discussed. |
| 6 | Practice and Check | 1 | Collect printable cards for a random check of students' understanding during the lesson. |
| 7 | Assigning Homework | 2 | Assign homework related to adding, subtracting, multiplying, and dividing fractions, and clarify expectations. |
| 8 | Conclusion and Q&A | 2 | Summarize the key concepts covered and open the floor for any questions. Provide clarifications if needed. |
"Good morning, everyone! Today, we are going to dive into the world of fractions. Can anyone tell me what a fraction is? [Pause for responses.] Great! A fraction is a way to represent a part of a whole, and it consists of two parts: the numerator, which is the number on the top, and the denominator, which is the number on the bottom. Understanding fractions is crucial because they are all around us—in cooking, in measuring, and even in finance. Let’s get started!"
"Now that we have a basic understanding of fractions, let's learn how to add them! First, we will look at fractions with like denominators. [Write an example on the board, e.g., 1/4 + 2/4.] To add these, we simply add the numerators and keep the denominator the same. So, 1 + 2 gives us 3, and the denominator stays 4. That means 1/4 + 2/4 equals 3/4!"
"Now, let’s move to adding fractions with unlike denominators. [Write another example, e.g., 1/3 + 1/6.] Here, we need a common denominator. The least common multiple of 3 and 6 is 6. So, we convert 1/3 into equivalent fractions, giving us 2/6. Now we can add: 2/6 + 1/6 equals 3/6, which simplifies to 1/2."
"Does anyone have questions about adding fractions? [Pause for responses.] Okay, let’s keep going!"
"Next, we will learn to subtract fractions. The process is very similar to addition. Let’s start with fractions that have like denominators. [Write an example on the board, e.g., 3/5 - 1/5.] Now, we just subtract the numerators! So, 3 - 1 equals 2, and the denominator stays the same. That means 3/5 - 1/5 equals 2/5."
"Now let’s try it with unlike denominators. [Write another example, e.g., 2/3 - 1/6.] First, we need a common denominator. The least common multiple of 3 and 6 remains 6. So, we convert 2/3 to 4/6. Now we can subtract: 4/6 - 1/6 equals 3/6, which simplifies to 1/2."
"Any questions on subtracting? [Pause for responses.] You're doing a great job!"
"Let’s move on to multiplying fractions! [Write an example on the board, e.g., 2/3 3/4.] When we multiply fractions, we multiply the numerators together and the denominators together. So, 2 times 3 equals 6, and 3 times 4 equals 12. Therefore, 2/3 3/4 equals 6/12, which simplifies to 1/2!"
"Now, division of fractions is a bit different. [Write another example on the board, e.g., 1/2 ÷ 3/4.] To divide fractions, we multiply by the reciprocal of the second fraction. So, 1/2 * 4/3 is our operation. This gives us 4/6, simplifying to 2/3."
"Are you following along? [Pause for responses.] Fantastic!"
"Now, I have a fun activity for you! [Distribute printable cards with fraction addition, subtraction, multiplication, and division problems.] Each of you will have a card with a fraction problem on it. I want you to solve the problems based on what we discussed today. You’ll have a few minutes to work on this. Remember to show your work! Let’s begin!"
"Alright, I’d like to check your understanding now. Please pass your cards to the front. I’ll randomly check a few of your solutions to see how you did. [Walk around and check students' cards.] Great job, everyone, I can see that you have a good grasp of these concepts!"
"For homework tonight, please complete the handout that reinforces what we learned today about adding, subtracting, multiplying, and dividing fractions. [Hand out the homework assignments.] Make sure to show your work and get ready for next class where we will explore more real-world applications of fractions. Do you have questions about the homework?"
"To wrap up, let's summarize what we learned today! We’ve covered how to add, subtract, multiply, and divide fractions, both with like and unlike denominators. Why are fractions important? [Pause for responses.] Exactly! Now, does anyone have any questions or need clarification on anything we covered today? [Pause for questions.] Thank you all for your participation, and I look forward to seeing you next time!"
| Slide Number | Image | Slide Content |
|---|---|---|
| 1 | {Image: A classroom scene} | - Introduction to Fractions |
| - Definition: A fraction represents a part of a whole. | ||
| - Components: Numerator (top number) and Denominator (bottom number). | ||
| - Importance in daily life: cooking, measuring, finance. | ||
| 2 | {Image: Addition of fractions example} | - Adding Fractions with Like Denominators |
| - Example: 1/4 + 2/4 | ||
| - Add numerators, keep the denominator the same: 1 + 2 = 3 → 3/4. | ||
| 3 | {Image: Different fractions on a number line} | - Adding Fractions with Unlike Denominators |
| - Find a common denominator (e.g., 1/3 + 1/6). | ||
| - Convert: 1/3 to 2/6 to get a common denominator of 6. | ||
| - Add: 2/6 + 1/6 = 3/6, simplifies to 1/2. | ||
| 4 | {Image: Subtraction of fractions example} | - Subtracting Fractions with Like Denominators |
| - Example: 3/5 - 1/5 | ||
| - Subtract numerators: 3 - 1 = 2 → 2/5. | ||
| 5 | {Image: Another number line with fractions} | - Subtracting Fractions with Unlike Denominators |
| - Find a common denominator (e.g., 2/3 - 1/6). | ||
| - Convert: 2/3 to 4/6. | ||
| - Subtract: 4/6 - 1/6 = 3/6, simplifies to 1/2. | ||
| 6 | {Image: Multiplication of fractions example} | - Multiplying Fractions |
| - Example: 2/3 * 3/4 | ||
| - Multiply numerators and denominators: 2 3 = 6, 3 4 = 12 → 6/12 simplifies to 1/2. | ||
| 7 | {Image: Division of fractions example} | - Dividing Fractions |
| - Example: 1/2 ÷ 3/4 | ||
| - Multiply by the reciprocal: 1/2 * 4/3 = 4/6, simplifies to 2/3. | ||
| 8 | {Image: Students working on fraction cards} | - Activity: Printable Cards |
| - Solve fraction problems on cards based on today's lesson. | ||
| - Collaborative practice and showing work. | ||
| 9 | {Image: Teacher assessing student work} | - Practice and Check |
| - Collect and review students' solutions. | ||
| - Provide feedback on understanding of adding, subtracting, multiplying, and dividing fractions. | ||
| 10 | {Image: Homework assignment handout} | - Assigning Homework |
| - Complete handout reinforcing concepts learned on fractions. | ||
| - Prepare for the next class with real-world applications of fractions. | ||
| - Q&A session wrap-up: Address any final questions or clarifications. |
Simplify the following fractions:
Add the following fractions with like denominators:
Add the following fractions with unlike denominators:
Subtract the following fractions with like denominators:
Subtract the following fractions with unlike denominators:
Multiply the following fractions:
Divide the following fractions:
Convert the following improper fractions to mixed numbers:
Create your own fraction addition problem with unlike denominators and solve it.
Explain in a few sentences why understanding fractions is essential in everyday life.
| Question | Answer |
|--------------------------------------------------------------------------|--------|
| What is a fraction? | |
| What parts make up a fraction? | |
| How do you add fractions with like denominators? | |
| What is the result of 1/4 + 2/4? | |
| How do you add fractions with unlike denominators? | |
| What is the least common multiple of 3 and 6? | |
| What is the simplified result of 2/3 + 1/6? | |
| How do you subtract fractions with like denominators? | |
| What is the result of 3/5 - 1/5? | |
| What steps do you take to subtract fractions with unlike denominators? | |
| How do you convert 2/3 to another fraction with a denominator of 6? | |
| What is the simplified result of 4/6 - 1/6? | |
| How do you multiply fractions? | |
| What is the result of 2/3 * 3/4? | |
| How do you divide fractions? | |
| What operation do you perform when dividing by a fraction? | |
| What is the result of 1/2 ÷ 3/4? | |
| Why is understanding fractions important? | |
| What homework was assigned on fractions? | |
| What did we summarize at the end of the lesson? | |