Sandwich Method

Grade Level(s):  5^th – 6^th Grade

Content Area:                                                                        Process Area:

Numbers and Operations                                           Problem-Solving

Algebra                                                           Reasoning and Proof

Geometry                                                                    Communication

Measurement                                                             Representation

Data Analysis, Statistics, and Probability                    Connections

Common Core Standards:

CCSS.MATH.CONTENT.6.NS.B.4: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. 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).

Targeted Needs of Student:

Lining up numbers, ordering numbers in ascending order, working with fact families, recognizing patterns, applying multiplication facts

Goal:

To provide students with a method of arranging the factors of more than one number in order to find the GCF

Materials Needed:

1. Paper and writing utensils

Explanation/Summary:

Teacher will model strategy first and then have students apply the sandwich method during other problems. They will order the factors of each number starting with the “bread” or the outside of the factors by writing one and the other number. Then they will check each number starting after that to see if it is a factor. For instance, if the number is 12 then the students will start with 1 and 12 with a space between. Then they will write 2 and 6 and 3 and 4 until it looks like this: 1, 2, 3, 4, 6, 12.

Resource:

Shared by Current OSTE Brian Avolio