
Title
Divisibility Rules
Topic
What are the divisibility rules for 2, 3, 4, 5, 6, 9, and 10?
Grade level
Grade 8
Additional Learning Outcomes
Develop technology skills and computer literacy through the use of the spreadsheet program Excel.
Introduction/Practice/Exploration
Students will explore Excel and discover rules of divisibility for the numbers 2, 3, 4, 5, 6, 9, and 10. First, students will examine multiples of 2 using pencil and paper. Then students will learn to create a chart in Excel that will allow them to more easily see patterns of numbers and determine rules of divisibility for the numbers listed above.
Lesson type (lab, demo, worksheet, handson, other)
Demo, lab
Materials and Equipment
Pencil Paper
White board, chalkboard, dry erase board (any)
Computer with Excel
QCC Standards:
Grade: 8
Mathematics
Number Sense & Numeration; Fractions & Decimals
Topic: Factor, Prime, Multiple, GCF,
LCM
Standard: Identifies and applies
divisibility, factors, prime factors, greatest common factor, and least common
multiple.
Number Sense & Numeration; Fractions & Decimals
Topic: Factor, Multiple, Prime,
Composite
Standard: Identifies factors
multiples, primes and composites.
Procedures/Activities
Students will recreate a chart provided by instructor that identifies the multiples of a given number, 2.
Put the number 2 in the first column. Have students list ten multiples of the number 2. These can include 4, 6, 8, 10, 12, 14, 16, etc. After the students have listed the multiples on their paper, have them help you fill in the multiples column on your chart.
Discuss the observations found concerning the multiples of 2. Use these observations to develop a divisibility rule for 2, example: all numbers divisible by 2 are even.
Use Excel to create the same chart that was created by pencil and paper. Explain and demonstrate the formula necessary to demonstrate the multiples of 2. Click here to view sample spreadsheet.
Repeat steps above with the numbers 3, 4, 5, 6, 9, and 10.
Total Duration
Two fifty minute class periods
Technology Connection
Students will use Excel to create a spreadsheet that demonstrates the patterns associated with the divisibility of 2, 3, 4, 5, 6, 9, and 10?
Additional Investigation
Divisibility by Eight
If the
last three digits in any integer greater than 1000 is divisible by eight, then
is the entire number divisible by 8? Explain why or why not.
Resources
Adapted from lesson plan from GLC authored by Kimberly Kirstein