Use One Multiplication Fact To Complete Another
Subject: Math
Grade: Fourth grade
Topic: Multiply By Two-Digit Numbers

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Mastering Multiplication: Building on What We Know – Review basic multiplication facts – Recall facts like 2×3, 4×5, and 6×7 – Multiplication as repeated addition – Understand 3×4 as 4+4+4 – Today’s goal: use known facts for new ones – If we know 3×4, how can we find 6×4? – Practice with examples – Let’s try 5×6 to find 10×6 together | Begin with a quick review of multiplication facts that students are already familiar with. Reinforce the concept that multiplication is essentially adding a number to itself repeatedly. Introduce the day’s objective, which is to use multiplication facts they already know to discover new ones. This will help them understand the concept of scaling and build a foundation for more complex multiplication. Provide examples and encourage students to participate by solving similar problems. This approach will enhance their problem-solving skills and make learning multiplication more intuitive.
Multiplication Facts Mastery – Review the multiplication table – Let’s quickly go over the times table up to 12 – Highlight known multiplication facts – Which facts do we remember easily? 2×3=6, 5×5=25, etc. – Discuss the value of memorization – Knowing these facts helps us solve bigger problems faster – Relate facts to larger problems – Use what we know to figure out 4×20 using 4×2 | This slide is aimed at reinforcing the importance of memorizing multiplication facts, which are the building blocks for more complex arithmetic operations. Begin with a quick review of the multiplication table, ensuring that students are comfortable with the facts up to 12×12. Highlight the facts that most students already know to boost their confidence. Discuss how memorizing these facts can significantly speed up their problem-solving process, especially when dealing with larger numbers. Relate the known facts to larger multiplication problems, such as using the fact that 4×2=8 to easily solve 4×20 by adding a zero to the product of 4×2. Encourage students to practice regularly to improve their recall speed and accuracy.
Using Known Facts to Find New Facts – Use 4 x 5 to solve 8 x 5 – If you know 4 x 5 = 20, then 8 x 5 is double of 4 x 5, which is 40. – Double a known fact for a new one – Doubling 4 gives 8, so double the product (20) to get the answer (40). – Class practice example – Let’s try together: If 3 x 5 = 15, what’s 6 x 5? – Apply strategy to more problems | This slide introduces the concept of using known multiplication facts to solve new, related problems. Start by explaining that if students know the result of 4 x 5, they can find 8 x 5 by doubling the 4 or the product. Emphasize that this is a useful strategy when multiplying by two-digit numbers. Engage the class with a practice example, such as doubling 3 x 5 to find 6 x 5. Encourage students to think of other known facts they can double to find new facts. Provide several examples for the class to solve together, reinforcing the concept of using known facts to make finding new facts easier.
Let’s Practice Together: Multiplication Facts! – Interactive example: 3 x 6 to find 6 x 6 – Suggest methods using known facts – If we know 3 x 6 = 18, how can we use this to find 6 x 6? – Work through the problem together – We’ll solve this step by step as a class, discussing each method. – Understand patterns in multiplication – Recognize how multiplication facts are related and build on each other. | This slide is designed for an interactive class activity to help students use known multiplication facts to find others. Start by presenting the problem: If we know 3 x 6, how can we find 6 x 6? Encourage students to suggest methods, such as doubling the known fact since 6 is double of 3. Work through the problem as a class, writing down the steps and methods suggested by the students. This exercise will help students understand the concept of scaling in multiplication and recognize patterns that make it easier to learn new facts. Possible activities include pairing students to solve similar problems, using manipulatives to visualize the concept, or creating a multiplication chart to find patterns.
Discover New Multiplication Facts – Find a familiar multiplication fact – Use it to learn a new fact – If you know 3 x 4 = 12, then 30 x 4 = 120 – Share your method with the class – Discuss how this helps in math – Understanding patterns makes multiplication easier | This slide introduces an activity aimed at helping students use known multiplication facts to discover new ones, reinforcing their understanding of number patterns and relationships. Start by asking students to think of a multiplication fact they are comfortable with. Then, guide them to use this fact to figure out a related multiplication fact. For example, if they know 3 x 4 = 12, they can use this to find 30 x 4 by adding a zero to the known product. Encourage students to share their methods and results with the class to foster a collaborative learning environment. Discuss how recognizing patterns in multiplication can simplify learning and understanding larger facts. Provide several examples and possible variations of the activity to accommodate different learning paces.
Group Activity: Multiplication Puzzle Challenge – Break into small groups – Receive a set of multiplication puzzles – Use known facts to solve puzzles – If you know 3 x 4, use it to solve 6 x 4 – Find new multiplication facts – Discover facts like 6 x 8 from 3 x 8 | This group activity is designed to encourage collaborative learning and application of multiplication facts. Divide the class into small groups and distribute a set of multiplication puzzles to each. Students should use multiplication facts they are already familiar with to uncover new ones. For example, if they know that 3 x 4 equals 12, they can double that fact to solve 6 x 4. This activity helps reinforce the concept of using known facts to find new ones, a key strategy in mastering multiplication with two-digit numbers. Provide guidance and support as needed, and prepare to discuss different strategies students used during the activity. Have a few extra puzzles ready for groups that finish early, and consider offering a small reward for groups that demonstrate good teamwork and problem-solving skills.
Class Activity: Multiplication Fact Chain – Create a chain with multiplication facts – Each link is a clue to the next fact – If 3 x 4 = 12, then 6 x 4 = ? (Double the 3) – Work together to extend the chain – Combine individual chains for a class super-chain – Reflect on the patterns observed – Notice how changing one number affects the answer | This activity is designed to help students understand the relationship between multiplication facts. By creating a chain where each fact helps solve the next, students can see patterns and use known facts to solve new problems. For example, if they know 3 x 4 = 12, they can use that to find 6 x 4 by doubling the first number. Encourage students to work in small groups to create their chains and then combine them to see how long the class chain can get. Discuss the patterns they observe and how this strategy can help with multiplying larger numbers. Possible activities include having different groups work on different number sets or challenging them to find the longest chain possible within a set time.
Conclusion & Homework: Multiplication Facts – Recap today’s multiplication lesson – Understand the method’s efficiency – Using known facts to find new ones saves time – Homework: Multiplication worksheet – Practice using the new method – Apply today’s method to solve the worksheet problems | As we conclude today’s lesson, remind students of the key points we’ve covered about using one multiplication fact to find another. Emphasize how this method can make solving multiplication problems faster and more efficient. For homework, students are assigned a worksheet that requires them to apply the method learned today. Encourage them to use the multiplication facts they are confident with to help them complete the worksheet. This practice will reinforce their understanding and help them become more proficient in multiplying two-digit numbers.

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