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How to Practice Additions Up to Ten – A Self-Working Math Trick
It’s a great way to practice sums of 10 using a deck of cards! Procedure: Setting Up the Trick 1. Prepare the Deck: - Use a standard 52-card deck (remove the Jokers). - Explain that Jacks, Queens, and Kings are worth 10. 2. Choosing the Two Excluded Cards: - The participant selects two cards between 1 and 9 that **do not total 10. - These two cards are set aside. - (Do not pick pairs like 1 & 9, 2 & 8, 3 & 7, etc.) - (In the video example, 3 and 9 were chosen.) 3. Shuffling the Deck: - The participant shuffles the remaining deck to randomize the cards. Performing the Trick 4. Turn Over and Cover Cards: - Flip over each card one by one. - When two cards add up to 10, place another card on top of them. - When a Jack, Queen, or King (worth 10) appears, place a card on top of it. - If a single card remains, place it on the table. 5. Final Step: - Pick up any two piles that sum to 10 and set them aside. - If the process was followed correctly, exactly two piles should remain. The “Magic” Math Reveal
The Magic Question: What cards must you add to each remaining pile to make 10? Turn over the two cards that were set aside at the start—they will be the missing numbers needed to complete the sum to 10! Mathematical Explanation of the Trick
This trick relies on basic arithmetic principles and elimination rules: 1. Pairs That Sum to 10 - Since the game removes all sums of 10, only two unmatched numbers remain. - The only way to complete the sum of 10 is by using the two set-aside cards. 2. The Predictable Outcome - No matter how the deck is shuffled, the removal process ensures that the final numbers left behind will always match the two excluded cards. 3. Learning Reinforcement - This trick subtly reinforces the combinations that make 10. - It helps learners develop quick mental math strategies in an engaging way. Suggestions for Enhancement
1. Make It a Game: - Challenge students to predict the remaining two numbers before flipping them over. - Turn it into a classroom activity where students race to complete sums of 10. 2. Extend the Math Lesson: - Ask: “What would happen if we tried sums of 12 instead?” - Modify the rules to work with different number targets. 3. Engagement and Storytelling: - Present it as a "mathematical mystery" to be solved. - Use a dramatic reveal: "Could these two cards be the missing puzzle pieces?" Watch the video. |
