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Divisibility Rules

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NAME: HEATHER ALLEN
GRADE: 7
SUBJECT: MATHEMATICS
LESSON #:
DATE:
ROOM:
DURATION: 50 mins x 3
STRAND & UNIT TITLE: NUMBERS – OPERATIONS ON REAL NUMBERS
STANDARD:
Use the basic operations, number relationships, patterns, number facts, calculators and
software to compute and estimate in order to solve real world problems involving
fractions, percentages and decimals.
SPECIFIC TOPIC: Rules of Divisibility
GENERAL OBJECTIVES: Upon completion of this unit, students should be able to:
1. Identify without calculation numbers that are divisible by 2, 3, 5, 6 and 9 without the use of a
calculator.
SPECIFIC OBJECTIVES: By the end of this lesson, students should be able to:
Cognitive (Knowledge):
1. State the different rules of divisibility for the numbers 2, 3, 5, 6 and 9, based on what was
highlighted during the class activity.
Intellectual (Psychomotor, Skill):
1. Develop the different rules of divisibility for the number 2, 3, 5, 6 and 9 based on the results
obtained from the class experiment.
2. Use the rules developed to determine whether a number is divisible by 2, 3, 5, 6 or 9.
Affective (Attitude):
1. Participate in all the class activities.
2. Be respectful towards each other.
RESOURCES & MATERIALS:
 http://mathmath6d.beattie.redlandsusd.net/modules/locker/files/get_group_file.phtml?gid=45
48342&fid=27664320
 http://www.homeschoolmath.net/teaching/md/division_rules.php
 https://www.ixl.com/math/grade-5/divisibility-rules
 http://www.mathgoodies.com/lessons/vol3/divisibility.html
 http://www.wolfcreek.ab.ca/documents/general/Divisibility%20Rock%20n.pdf
 Mathematics for Caribbean Schools Book 1
Page 1 of 4
Prepared by: Miss H Allen
PREVIOUS KNOWLEDGE:
 Factors and multiples
 Types of numbers
 Performing operations on whole numbers
TEACHING METHODS/STRATEGIES:
 Guided group activities
 Experimentation and Investigation
 Demonstration
 Question and answer
INSTRUCTIONAL MATERIALS/RESOURCES
 Mathematics for Caribbean Schools Book 1
 Handout #1: Build a number: Divisibility test
 Handout #2: Divisibility Rules
 Number cards
CONTENT OUTLINE:
1. What does it mean to divide?
2. Developing the rules of divisibility
3. Applying the rules of divisibility
CONTENT AND METHODOLOGY:
SESSION 1:
The students will be greeted at the door and upon entering the classroom they’ll be placed into groups
of fours. This is being done, due to the nature and design of the class activities. Each member of the
group will be assigned a role of the reporter, the recorder or the resource person. There will be two
reporters for each group.
Once they have settle in their groups, they’ll be given the question “Why do we divide?” to brainstorm
amongst themselves. After being given a few moments to discuss it within the group, two groups will be
selected randomly and the reporters share what they had discussed. The responses shared will be
discussed as a class, so that they can be guided to recognizing that we divide, so that we can place
items/objects into groups.
Development
The students will be informed that there are rules, which guide us as we go through the process of
division and these are called the rules of division.
At this time the students will be given activity sheet #1, which will be utilized as part of the investigation
to find out which type of numbers can be divided by 2, 3, 5, 6 and 9.
Page 2 of 4
Prepared by: Miss H Allen
Instructions for the activity
1. Each person in the group will think of a number and write it in one of the slots on the sheet.
2. Using a method of their choice, they will check to see of the numbers on the sheet can be
divided by the numbers on the check list.
Sample of Activity Sheet # 1
What is
your
number?
Build A Number: Divisibility Test
Can it be divided by
2
3
5
6
9
SESSION 2:
From the activity that was done in the previous session a discussion will be developed around the results
obtain by the students from their checklist. During the discussion the students will be guided along
highlighting the rules of divisibility on the given numbers. These rules will be recorded on activity sheet #
2.
Sample of Activity Sheet # 2
Rules of Divisibility
2
3
5
6
9
After the rules have been developed, the students will be tested on them. Each group will be given a
scenario, with the area of a room and they are to determine which size tile is the best to use in order to
tile the floor of the room. After they have worked on it as a group, their findings will be discussed as a
class, to help determine its accuracy.
Page 3 of 4
Prepared by: Miss H Allen
SESSION 3:
Culminating activity: student assessment
In order to reinforce all that they have learnt a practice session will be conducted and individual
feedback given to the students, were necessary. They’ll also be given a worksheet activity to complete at
home.
Evaluation
Page 4 of 4
Prepared by: Miss H Allen
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