Patterns And Relations Worksheet - Grade 7 Page 17
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461.4
Relationships in Patterns
Focus
Determine a relation to represent
a pattern.
Here is a pattern made from linking cubes.
Term 1
Term 2
Term 3
Term 4
A pattern rule is: Start at 3. Add 3 each time.
This rule relates each term to the term that comes before it.
We can also describe this pattern using the term number.
Term Number
1
2
3
4
3
6
9
12
Term
How does each term relate to the term number?
On Enviro-Challenge Day, Grade 7 classes compete
to see which class can collect the most garbage.
Each student in Ms. Thomson’s class pledges
to pick up 6 pieces of garbage.
➤ How many pieces of garbage will be picked up when
the number of students is 5? 10? 15? 20? 25? 30?
➤ What pattern do you see in the numbers of pieces
of garbage?
➤ Write a rule to find how many pieces of garbage
will be picked up, when you know the number of students.
➤ Write an algebraic expression for the number of pieces
of garbage picked up by n students.
&
Reflect
Share
Share your work with another pair of classmates.
Find the number of pieces of garbage picked up by 35 students.
How can you do this using the pattern?
Using the rule? Using the algebraic expression?
20
UNIT 1: Patterns and Relations
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