Connections Between Inverses
Peter Sullivan introduces activities that highlights the relationship between addition and subtraction and multiplication and division as inverse operations. He explains that the order of numbers can influence addition, especially with larger numbers. Activities are suggested to practice fact families, emphasizing flexibility and repeated engagement to enhance fluency in both operations.
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1. Fact families connecting addition and subtraction (Levels 1 - 4)
Peter Sullivan introduces a curriculum activity that highlights the relationship between addition and subtraction as inverse operations. He explains that the order of numbers can influence addition, especially with larger numbers. The concept of fact families is presented, showing how understandi...
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2. Number grids connecting addition and subtraction (Levels 3 and 4)
Peter Sullivan introduces a versatile activity for students to enhance their understanding of addition and subtraction as inverse operations. He highlights that subtraction can be simplified through reverse addition. The activity focuses on developing fluency in addition, encouraging mental calcu...
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3. Pyramid numbers connecting addition and subtraction (Levels 1 - 4)
Peter Sullivan introduces a teaching device that helps students grasp addition and subtraction as inverse operations. He covers the year three algebra curriculum, providing examples and emphasizing the relationship between the two operations. The session includes takeaway examples, the fact famil...
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4. Fact families connecting multiplication and division (Levels 3, 4, and 5)
Peter Sullivan highlights the significance of understanding division and multiplication as inverse operations. He shares mental division techniques, demonstrating how to divide 400 by 25 to get 16. Engaging students in learning, he discusses the commutative property and the order of operations. S...
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5. Number grids connecting multiplication and division (Levels 3, 4, and 5)
Peter explains that multiplication and division are inverse operations, highlighting the importance of understanding division through reverse multiplication. He focuses on multiplying by multiples of 10, relevant to real-life scenarios, and suggests engaging activities to enhance math classes. Va...
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6. Pyramid numbers connecting multiplication and division (Levels 3, 4, and 5)
Peter introduces a device that connects multiplication and division, highlighting the significance of powers of 10 in education. An engaging activity demonstrates how these operations are inverses, with questions posed to find number pairs that multiply to certain values. The session also covers ...