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Objective The student will be able to:

This lesson enables students to recognize and effectively use the commutative and associative properties, along with the properties of equality. Designed by Skip Tyler at Varina High School, the lesson illustrates the significance of these properties in mathematical operations. Students will learn that the commutative property allows for the order of numbers to be altered without changing the result in addition and multiplication (e.g., a + b = b + a). The associative property emphasizes that the grouping of numbers does not affect the outcome (e.g., (a + b) + c = a + (b + c)). Exercises and examples clarify their applications in different scenarios.

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Objective The student will be able to:

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  1. ObjectiveThe student will be able to: recognize and use the commutative and associative properties and the properties of equality. SOL: A.4b Designed by Skip Tyler, Varina High School

  2. Commutative Property Commutative means that the order does not make any difference. a + b = b + a a • b = b • a Examples 4 + 5 = 5 + 4 2 • 3 = 3 • 2 The commutative property does not work for subtraction or division.

  3. Please select a Team. • Boys • Girls

  4. Associative Property Associative means that the grouping does not make any difference. (a + b) + c = a + (b + c) (ab) c = a (bc) Examples (1 + 2) + 3 = 1 + (2 + 3) (2 • 3) • 4 = 2 • (3 • 4) The associative property does not work for subtraction or division.

  5. Name the property1) 5a + (6 + 2a) = 5a + (2a + 6) commutative (switching order) 2) 5a + (2a + 6) = (5a + 2a) + 6 associative (switching groups) 3) 2(3 + a) = 6 + 2a distributive

  6. Which property would justify rewriting the following expression without parentheses? 3(2x + 5y) • Associative property of multiplication • Distributive property • Addition property of zero • Commutative property of multiplication

  7. Which property would justify the following statement? 8x + 4 = 4 + 8x • Associative property of addition • Distributive property • Addition property of zero • Commutative property of addition

  8. Which property would justify the following statement?8 + (2 + 6) = (8 + 2) + 6 • Associative property of addition • Distributive property • Addition property of zero • Commutative property of addition

  9. Team Scores

  10. Participant Scores

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