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Addition 1
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Content Focus: Addition
Learning Intention: Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations |
Addition is a mathematical operation. It is a process or action that you do with numbers.
The symbol for this process is + (plus). In this process we combine 2 numbers to make a bigger number.
Example: 4 + 5 means to combine the numbers 4 and 5. The result will be 9.
The symbol for this process is + (plus). In this process we combine 2 numbers to make a bigger number.
Example: 4 + 5 means to combine the numbers 4 and 5. The result will be 9.
History
Addition, in the sense of measuring the size of combined sets, was probably done as soon as people counted. The oldest written records of mathematical calculations date back over 4000 years to the ancient Egyptians and Babylonians. The development of the Hindu-Arabic place-value notation enabled the implementation of efficient algorithms for arithmetic. The word algorithm is derived from the name of Muhammad al-Khwārizmī, an Islamic astronomer and mathematician. In 825 AD he wrote a Book on Addition and Subtraction after the Method of the Indians.
Addition, in the sense of measuring the size of combined sets, was probably done as soon as people counted. The oldest written records of mathematical calculations date back over 4000 years to the ancient Egyptians and Babylonians. The development of the Hindu-Arabic place-value notation enabled the implementation of efficient algorithms for arithmetic. The word algorithm is derived from the name of Muhammad al-Khwārizmī, an Islamic astronomer and mathematician. In 825 AD he wrote a Book on Addition and Subtraction after the Method of the Indians.
Easy
Jump strategy using a number line. The largest number remains intact whilst the second number is split into place value sections. The number is jumped by hundred, tens and then ones.
Game
Ten-Twenty-Thirty
Single-player addition game. A deck of playing cards is needed. Find sums of 10, 20, or 30 in order to clear cards.
Single-player addition game. A deck of playing cards is needed. Find sums of 10, 20, or 30 in order to clear cards.
- Shuffle the deck. Create a row of seven cards, face up. Place two cards on top of each of the seven so you have seven piles of 3 cards each. Arrange the cards so you can see the face value of every card.
- Place the rest of the deck to the side, to be used later. The object of the game is to remove a pile when the sum of all of its cards is 10, 20, or 30.
- All face cards equal 10. For example, if a pile has an ace, 9, and jack in it, it could be removed because its sum is 20 (1 + 9 + 10). Go ahead and remove all of the piles that equal 10 to start.
- Deal a fourth card on top of every pile that remains. Remove any stacks that now equal a multiple of 10.
- Deal a fifth card on top of every pile that remains. Remove any stacks possible.
- Continue adding cards and removing stacks until your deck is depleted or the stacks have all been removed.
Moderate
Use Shopping Catalogues
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Difficult
Can you clearly explain to someone how this problem below was solved?
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Task:
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Find different combinations of three 4 digit numbers that total 9500.
Get Close
1. Remove 10s and face cards from the deck. Shuffle the deck and deal each player 6 cards. 2. Each player selects four of their cards and creates two 2-digit numbers from them. The goal is to create two numbers that have a sum as close to 100 as possible, without going over. (For example, a player may choose to use the cards 4, 6, 8, and 1, creating the problem14 + 86 = 100.) 3. After players have made their selections, they place their cards face up in front of them, arranging them so other players can see which two numbers they have created. 4. The player with the numbers closest to 100, without going over, wins a point. In the case of a tie, a point awarded to each team. 5. Shuffle the cards before dealing another round. 6. Play continues for 5 rounds. The player with the most points after the last round wins the game. Adaptation/Variation/Extension: Change the number of cards dealt, the number of cards used, or the goal. For weaker players, restrict the number of cards dealt to 4 per player, allow them to use only 2 of the cards, create single-digit numbers, and set the goal to 10. To make the game more challenging, deal 8 cards to each player, let them choose 6, create 3- digit numbers, and set the goal to 1,000. |
Games
Total
1. Mix the cards and place in front of the players 2. Players take turns drawing cards. The first player to have exactly 3 cards that total 16 is the winner. If the first three cards chosen do not add up to 16, the players continue to choose cards until one person gets it. Adaptation/Variation/Extension: For weaker players, have 2 cards that add to 10. To make the game more challenging, have 5 cards to total 32 Try this addition catapult game.
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