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Posted on Published: August 28, 2012 - Last updated: August 13, 2022 Last summer I organized the math materials I had created in preparation for teaching a 5th-grade math class this school year. The result of this organization is several math blog posts. You can find the updated math section of my website here. I also created four math products that I am selling on Teachers pay Teachers. This post contains two free resources for teaching math properties. The first is a foldable organizer. The second is a Smart Notebook practice.Math Properties OrganizerThe organizer come in three versions:The first has lines where students write definitions. Students must also create samples for each math property.The second copy of the organizer contains the definitions with keywords missing for students to add. Students must also create samples for each property.The third copy is completed. It may be used as an answer key. The organizer may be displayed on a SmartBoard for students to copy. A great use for the completed organizer is for differentiated instruction. The completed organizer may also be used for students who were absent.Common Core State StandardsCCSS.Math.Content.3.OA.B.5 Understand properties of multiplication and the relationship between multiplication and division. CCSS.Math.Content.6.NS.B.4 Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).The PropertiesCommutative PropertyYou can swap numbers around and still get the same answer when you add or multiply.interchangeable in orderExamples4 x 2 = 2 x 4Associative PropertyIn addition and multiplication, you can group a series of numbers in any order and get the same answer.grouping doesnt matter Examples(2 x 3) x 4 = 2 x (3 x 4)Distributive PropertyA characteristic of numbers that allows you to multiply a group of numbers and get the same answer you would get if you multiplied each member of the group and then combined the answers.4 x (3 + 5)(4 x 3) + (4 x 5)Identity PropertyNumbers that keep their expressions the same.MultiplicativeDivision Identity Property:You can multiply one or divide by one to any number and your number will stay the same.Example5 x 1 = 5AdditiveSubtractive Identity Property:You can add zero or subtract zero to any number and your number will stay the same.Example5 -0 = 0Free Resources Links to printable worksheets for teaching math properties: Using the Distributive Property Here are the math products I am selling on Teachers pay Teachers: Geometry 1 Real Number System FoldableThis Idea came from Dinah Zikes Foldables. Directions were revised by Jamal Hutchinson, Numeracy Coach JohnsonBaxter ALC, original by Barbara Broadway, Math Mentor at Maplewood High School 2 Materials 3 Materials Pre-Cut Dark Green 8 ½ in. x 11 in Yellow 8 ½ in. x 5 ½ in.Bright blue 4 ¼ in. x 5 ½ in. Beige 4 ¼ in. x 5 ½ in. Orange 4 ¼ in. x 5 ½ in. Light green 4 ¼ in. x 5 ½ in. Pink 4 ¼ in. x 5 ½ in. 4 Types of Folds 5 Hot dog fold light greenCut a window by cutting a ½ in from bottom to a ½ in to the long side to a ½ in from the top. Stop cutting. Dont cut across on the top. 6 Hot dog fold orange Cut a window by cutting a ½ in from bottom to a ½ in to the long side to 1 in from the top. Stop cutting. Dont cut across on the top. 7 Hamburger fold yellow sheet.Cut a window by cutting a ½ in from bottom to a ½ in to the long side to a ½ in from the top. Stop cutting. Dont cut across on the top. 8 Assembly Slightly hamburger and hotdog fold the dark green sheetCenter the pink sheet on the left side paper 9 Slightly hamburger and hotdog fold the dark green sheetCenter the light blue sheet on the right side paper 10 Apply glue around the edges of the pink rectangle and lay the beige rectangle on it so that it opens from bottom to top. 11 Apply glue around the edges of the beige rectangle and lay the orange rectangle on it so that it opens from bottom to top. 12 Apply glue around the edges of the orange rectangle and lay the light green rectangle on it so that it opens from bottom to top. 13 Apply glue around the edges of the rectangle made up of the light green and bright blue rectangleNo glue down the middle where they join Lay the yellow rectangle on them so that it opens from bottom to top. 14 Label Pink: N = Natural Numbers or Counting Numbers 1,2,3,4…Beige: W = Whole Numbers ,1,2,3…. 15 Orange: Z = Integers …-3,-2,-1,0,1,2,3…Light green: Q = Rational Numbers ab a and b Z, b = 0 16 Bright blue Ir = Irrational Numbers non-terminating and non-repeating decimals, pi, square roots of non perfect squares, pattern decimals, golden ratio. Yellow: R = Real Numbers 17 All colors can be changed for another color.Only thing that matters is the folds and cuts.
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