The Associative Property of Multiplication Lesson: Introducing the Associative Property of Multiplication Unit: The Properties of Multiplication Third Grade (2 x 2) x 4 = 2 x (2 x 4) Mr. Paul Farbman March 16, 2015

The Associative Property in Addition In addition, the associative property is all about grouping! Do these two ways of grouping give you the same sum? (5 + 3) + 1 5 + (3+1) = (Farbman, 2015) (Farbman, 2015) 9 Yes! 9

The Associative Property in Multiplication If you had to find the product in this problem, what strategies could you try? 3 x 20 Could you break one of the factors down into smaller factors? Yes!

Associative Property Steps Step 1: Decide which factor you should break into smaller factors. 3 x 20 To make the problem easier, we should break down the larger factor. Step 2: Break down the larger factor into two smaller factors Ex: 3 x 20 3 x (2 x 10)

Associative Property Steps Step 3: We can change where the parenthesis are to make each problem even easier! Which would you rather solve? 3 x (2 x 10) or (3 x 2 ) x 10 Associative Property Steps Note: An associative property problem can start from this step! 3 x 20 6 x 10 60 60

Sample Problems Where should we put the brackets to solve? 4 x 3 x 1 = ? 5 x 2 x 7 = ? 4 x (3 x 1) = ? (5 x 2) x 7 = ? 4 x 3 = 12 10 x 7 = 70

Associative Property of Multiplication Candy Example Are 3 Groups of 1 Candy by 2 equal to 2 Groups of 3 Candies by 1? 3 x (1 x 2) = (3 x 1) x 2 2 1 (Farbman, 2015) 3 1 (Farbman, 2015) 6 Yes! 6

Practicing the Associative Property Link A Link B Practice with 3 Factor Problems Try 6 Problems on this site. Show where you put the brackets by copying the problem on the sheet of paper with work and the answer. Use Pen only. IXL: Multiply Three or More Numbers Practicing Properties Play this interactive game to review the Properties of Multiplication. Try 10 problems writing each down with YOUR answer. Print page 2 of your results and use pen only. Play Game!

Practicing the Associative Property Extra Practice Link C Link D Put in the factor or product that makes the problem correct for the given property. Do no more than nine questions. Using the Properties of Multiplication Do during free choice time only! Watch This Video to Review the Properties of Multiplication! Watch! (Select the X at top right to watch) Do during free choice time only!

Works Cited Banfill, J. (2012). Properties of Multiplication. AAA Math. Retrieved from http://www.aaamath.com/pro74bx2.htm (Link B) Burris, A. C., (2004). Understanding the Math the You Teach: Content and Methods for Prekindergarten Through Grade 4. Pearson Prentice Hall. Farbman, P. F. (2015). Photo 1 [Image] Farbman, P. F. (2015). Photo 2 [Image] Farbman, P. F. (2015). Photo 3 [Image] Farbman, P. F. (2015). Photo 4 [Image] IXL Learning. (2015). Third Grade E12. Multiply Three or More Numbers. IXL Learning. Retrieved from http://www.ixl.com/math/grade-3/multiply-three- or-more-numbers (Link A)

Works Cited IXL Learning. (2015). Third Grade J.6 Solve Using Properties of Multiplication. IXL Learning. Retrieved from http://www.ixl.com/math/grade-3/solve-using- properties-of-multiplication (Link C) Webb’s World Podcasts. (2008). 4th Grade Podcast Multiplication Properties. Retrieved from http://www.teachertube.com/video/4th-grade-podcast-multiplication-properties- 54172 (Link D)