ENGAGING LESSON PLAN on Properties of Real Numbers
by Karrie Jones and Jennifer Jones
1.) Student groups of 3 students are given a large envelope with 24 flash cards (as shown
below) and asked to sort them into team-generated categories.
5(3 +2) = 5(3) + 5(2) (12 +2)+ 9 = 12 +(2+9) 2x (y + b) = 2xy + 2xb 6y + 0 = 6y
2.) Possible category titles are created, shared and defended whole group.
3.) Students are introduced to the vocabulary associated with the properties of real
numbers such as ‘distributive property’, ‘associative property,’ ‘commutative property’,
‘additive identity property’, multiplicative identity property’, additive inverse property’
and ‘multiplicative inverse property’ by reading from their textbook.
4.) In addition to textual information about the properties, students consider a series of
graphics drawn to help students pictorially represent each property.
5.) The teachers leads a series of think-pair-share activities where teams of students are
asked to make analogies as they are related the properties of real numbers to real life
occurrences. Students use these analogies and the pictures to record a personal
“working” definition of what he or she thinks each property is.
6.) Student created definitions are shared whole group and a class agreed upon definition
and examples of each property are created.
7.) Students return to their original open sort flash cards and are given 7 new colored flash
cards with the names of the properties of real numbers. Using what they have learned,
student teams now complete a ‘closed sort’ as they classify each equation or expression
under the appropriate property heading.
8.) Cards are correctly sorted on the board.
9.) Homework is assigned to the students about the properties of real numbers.