| 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 | Multiplication and division with fractions |
| What length (min) | 30 |
| What age group | Year or Grade 6 |
| Class size | 20 |
| 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 | 5 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Multiplication and Division with Fractions
Year 6
Mathematics
30 minutes
20 students
This lesson aligns with the Year 6 mathematics curriculum requirements regarding fractions, specifically multiplication and division of fractions.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction | 5 mins | Briefly review what fractions are, and introduce multiplication and division of fractions. Explain the objectives of the lesson. |
| 2 | Direct Instruction | 10 mins | Explain how to multiply and divide fractions with examples. Utilize the whiteboard to illustrate concepts and calculations. |
| 3 | Activity: Printable Cards | 5 mins | Distribute printable cards to each student. Instruct students to fill them out with provided fraction problems. |
| 4 | Guided Practice | 5 mins | Work through additional examples together as a class, allowing students to apply what they have learned. |
| 5 | Collection/Checking | 2 mins | Collect the cards or conduct a random check to assess student understanding without requiring presentations. |
| 6 | Assign Homework | 2 mins | Assign homework related to multiplication and division of fractions, instructing students to complete it by the next class. |
| 7 | Conclusion | 1 min | Wrap up the lesson by summarizing the key points and answering any final questions. |
"Good morning, class! Today, we are going to dive into an exciting topic: multiplying and dividing fractions. Does anyone remember what a fraction is? [Pause for responses] That's right! A fraction represents a part of a whole. Today, we will build on that knowledge and learn how to multiply and divide fractions effectively. By the end of this lesson, you will be able to solve fraction problems using multiplication and division. Let’s get started!"
"Now, let’s talk about how to multiply fractions. To multiply two fractions, you simply multiply the numerators together and the denominators together. For example, if we have the fractions 2/3 and 4/5, we multiply 2 times 4 to get 8, and 3 times 5 to get 15. So, 2/3 multiplied by 4/5 equals 8/15.
Let’s write that on the board: (2/3) x (4/5) = 8/15
Now, let’s move on to division. To divide fractions, we flip the second fraction (take the reciprocal) and then multiply. For example, dividing 2/3 by 4/5 means we multiply 2/3 by the reciprocal of 4/5, which is 5/4.
So it looks like this: (2/3) ÷ (4/5) = (2/3) x (5/4) = 10/12, and if we simplify that, it becomes 5/6.
Any questions so far? [Pause for questions and clarify any doubts.]
Great! Now let’s practice with some cards."
"I’m handing out some printable cards to each of you. On these cards, you will find a few fraction problems to solve. I want you to work on these problems and fill in the answers directly on the cards. Take about five minutes to complete this task. If you finish early, you can start checking your answers with a partner quietly. Ready? Go!"
"Okay, time's up! Let’s go through these problems together. I will pick a problem from your cards, and let’s solve it as a class.
[Choose a problem from the student cards and write it on the whiteboard.]
So let’s say we have 1/2 x 3/4. Who can tell me what we do first? [Wait for student response] That’s right! We multiply the numerators and multiply the denominators.
Let’s do it together: 1 x 3 = 3 and 2 x 4 = 8, so 1/2 x 3/4 = 3/8.
Now, let’s take a look at another problem. [Choose another problem, guiding students through the steps.]
Any other questions on how to multiply or divide fractions? [Pause for responses.] Good!"
“Now, I would like you to hand in your cards. I will take a quick look at some of them to see how everyone is doing. Make sure your names are on them! [Collect cards] If I call your name, please come up and show me your work for a minute. Don't worry if I don't call your name; everyone’s work will be checked!”
"Great job today, everyone! For homework, I’d like you to complete problems on multiplying and dividing fractions found in your worksheets. Please have this finished by our next class. Make sure to practice your calculations, and feel free to ask your parents for help if you need it."
"To wrap up today’s lesson, we learned how to multiply and divide fractions by multiplying the numerators and denominators or by using the reciprocal. Remember, practice makes perfect! Do you have any last questions before we finish? [Pause for questions] Alright, thank you for your hard work today. I look forward to seeing your homework next class!"
Multiply the following fractions:
a) ( \frac{3}{5} \times \frac{2}{7} )
b) ( \frac{4}{9} \times \frac{1}{3} )
Divide the following fractions:
a) ( \frac{5}{8} \div \frac{1}{4} )
b) ( \frac{7}{10} \div \frac{3}{5} )
Solve the following word problem:
If a recipe calls for ( \frac{3}{4} ) cup of sugar and you want to make half of the recipe, how much sugar do you need?
Simplify the result of the following multiplication:
( \frac{2}{3} \times \frac{4}{6} )
Find the reciprocal of the following fractions and then perform the division:
a) ( \frac{2}{5} )
b) ( \frac{3}{4} )
Complete the following sentence:
To multiply fractions, you need to the numerators and the denominators.
A gardener uses ( \frac{1}{2} ) of a bag of soil and then gives away ( \frac{1}{4} ) of what he had left. How much soil does he have left after giving some away?
Create your own multiplication and division fractions problem and solve it.
Explain in your own words how you would divide ( \frac{2}{3} ) by ( \frac{4}{5} ).
Write down one real-life scenario where you might need to multiply or divide fractions.
| Question | Answer |
|---|---|
| What is a fraction? | |
| How do you multiply two fractions? | |
| What do you get when you multiply the fractions 2/3 and 4/5? | |
| How do you divide fractions? | |
| What is the reciprocal of 4/5? | |
| What is 2/3 divided by 4/5 simplified? | |
| What steps do you take to multiply the fractions 1/2 and 3/4? | |
| How would you simplify the fraction 10/12? | |
| What problems were on the cards you worked on during class? | |
| What should you do if you have questions while doing your homework? |