Properties of Operations with Real Numbers
Grades: 4-­‐7 Teachers will explore tools that are useful in teaching the properties of real numbers, including an algebraic and numeric sort, and a foldable that uses the Frayer Model. Alanna Bragg, The College of William and Mary Jennifer Thomas, Renaissance Academy, Virginia Beach City Public Schools Directions: Cut out each card. Sort each equation under the correct property. Commutative Property for Addition Commutative Property for Multiplication Distributive Property Additive Identity Property Multiplicative Identity Property Additive Inverse Property Multiplicative Inverse Property Multiplicative Property of Zero Associative Property for Addition Associative Property for Multiplication 3 • 5 = 5 • 3 0 + 2 = 2 xy = yx f • 1 = f (e + f) + g = e + (f + g) • s = 1 a(bc) = (ab)c (3 + 4) + 5 = 3 + (4 + 5) • 13 = 1 g + (-­‐g) = 0 a + b = b + a d + 0 = d 1 • 8 = 8 12 + 6 = 6 + 12 -­‐49 + 49 = 0 m • 0 = 0 (9•4) •3 = 9•(4•3) x(y + z) = xy + xz 0 • 19 = 0 Created by Alanna Bragg and Jennifer Thomas 7(1 + 4) = 7•1 + 7•4 Name ______________________________ Date ____________ Warm Up -­‐ INDEPENDENT Properties of Real Numbers List as many Properties of Real Numbers as you can. Then, give an example of each. __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ Name ______________________________ Date ____________ Warm Up -­‐ INDEPENDENT Properties of Real Numbers List as many Properties of Real Numbers as you can. Then, give an example of each. __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________ __________________________________________ _____________________