Unit 1 - Sequences and Series
Global Context
Key Concept
Form
The shape and underlying
structure of an entity or piece
of work, including it's
organization, essential nature,
and external appearance.
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Scientific and
Technical
Innovation
Related Concepts
Patterns, Generalization
Patterns: Sets of numbers or objects that follow a specific pattern or rule.
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Generalization: A general statement made on the basis of specific examples.
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Learning Objectives
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Understanding and using recursive and explicit formulae for sequences.
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Recognizing linear and quadratic sequences.
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Recognizing patterns in real-life contexts and solving problems.
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Finding and justifying (or proving) general rules and formulae for sequences.
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Using explicit and recursive formulae to describe arithmetic and geometric sequences.
Statement of Inquiry
Using different forms to generalize and justify patterns can help improve products, processes and solutions.
Inquiry Questions
Factual
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What is a sequence?
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What is a general formula for a sequence?
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What are the differences between arithmetic and geometric sequences?
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What is the difference between recursive and explicit formulae for sequences?
Conceptual
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What types of sequences are there?
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How can you identify sequences?
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How can you recognize arithmetic and geometric sequences in real life contexts?
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Debatable
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Can you always predict the next terms in a sequence?
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How does the behavior of a geometric sequence vary depending on the value of the common ratio?
Unit Discussion
Questions & Suggestions
Click on the microphone icon to enter our Unit and Lesson Discussion.
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Begin a discussion thread by adding a specific question under a Lesson heading.
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Suggest links to videos and websites that have helped you in your learning.
Lesson 1:
Explicit vs.
Recursive Patterns
Criterion C:
Communicate mathematically. .
None today.
Criterion D:
Real world mathematics.
None today.
Reflect
Lesson 2:
Patterns to
Sequences
Watch the two Resource videos in the "Explore" section of Lesson 1.
Then, based on what you
have learned in these two
videos, complete THIS TASK.
​
Learn
Collaborative group activities will be completed in step by step teacher guided format today.
Collaborate
Criterion C:
Communicate mathematically. .
None today.
Criterion D:
Real world mathematics.
None today.
Reflect
Lesson 3:
Linear vs. Quadratic Sequences
Lesson 4:
Quadratic
Sequences when
c is not 1
Lesson Video
The lesson video above
helps you get started
on the problems in
THIS PROBLEM SET.
Complete the rest.
Learn
Quick group tasks,
note-taking, and
group problems.
Notes Page with
Group Problem Set.
Extra Practice (optional)
Collaborate
Criterion C:
Communicate mathematically. .
Complete THIS TASK.
Criterion D:
Real world mathematics.
...
Reflect
Criterion C:
Communicate mathematically. .
None today.
Criterion D:
Real world mathematics.
.None today.
Reflect
Additional Resources:
A Different Approach to Quadratic Sequences
Get Inspired !
How Many Holes
Does a Balloon Have?
​
Explore
Lesson 5:
Mid-Unit Review
Criterion C:
Communicate mathematically. .
Complete this TASK.
Criterion D:
Real world mathematics.
.None today.
Reflect
Lesson 6:
Nth Term of an
Arithmetic Sequence
Video Lesson
Video Notes Page
Practice Assignment
Want More?
Finish the collaborative
problems from Lesson 5
Learn
Criterion C:
Communicate mathematically. .
.None today.
Criterion D:
Real world mathematics.
Complete Step 1 today.
Reflect
Lesson 7:
Nth Term of a
Geometric Sequence
Criterion C:
Communicate mathematically. .
.None today.
Criterion D:
Real world mathematics.
Complete Step 2 today.
Reflect
Lesson 8:
Review and
Application
Watch THIS VIDEO while
working in THIS packet
to improve following
our Formative Test.
Correct your Criterion D
Task using this KEY.
Learn
Criterion C:
Communicate mathematically.
Group Task.
Criterion D:
Real world mathematics.
Please complete Step 3.
Reflect
Lesson 9:
Sum of Terms
in Series
Criterion C:
Communicate mathematically. .
None today.
Criterion D:
Real world mathematics.
Complete the Project: Step 4
Reflect
Lesson 10:
Unit Review
Criterion C:
Communicate mathematically. .
None.
Criterion D:
Real world mathematics.
None.