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Advertising Series
Subject:
Grade Level:
Math
11
Primary Common Core State Standards
Algebra: Seeing Structure in Expressions - Write expressions in equivalent forms to solve problems (Math
- High School)
4. Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the
formula to solve problems. For example, calculate mortgage payments.
Functions: Building Functions - Build a function that models a relationship between two quantities (Math High School)
2. Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model
situations, and translate between the two forms.
Functions: Linear, Quadratic, and Exponential Models - Construct and compare linear, quadratic, and
exponential models and solve problems (Math - High School)
2. Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a
description of a relationship, or two input-output pairs (include reading these from a table).
Other Related Common Core State Standards:
Reading Standards for Literacy in History/Social Studies - Integration of Knowledge and Ideas (Literacy Grades 11-12)
9. Synthesize information from a range of sources (e.g., texts, experiments, simulations) into a coherent
understanding of a process, phenomenon, or concept, resolving conflicting information when possible.
Functions: Building Functions - Build new functions from existing functions (Math - High School)
5. (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve
problems involving logarithms and exponents.
Next Generation Assessment:
An advertising agency suggests that for every 33 people who learn about a new product, 3 will tell
someone else about the product.
Suppose an online commercial about a new cell phone reaches 2 million people. Write and solve a
geometric series to predict about how many people will learn about the cell phone by way of seeing the
online commercial and by word-of-mouth.
Suppose a competing advertising agency suggests that for every 50 people who learn about a new
product via a television commercial, 5 will tell someone else about the product. As the marketing
manager for a cell phone company, which form of advertising will you most likely choose to use to
market the new phone? Provide quantitative reasoning for your decision. State two other issues that will
also influence your decision.
Duration:
Student Work:
Criteria for Student Learning:
about 30 minutes
Write and solve infinite geometric series.
1. Write and solve a geometric series given the online
commercial prompt.
2. Quantitatively determine the form of advertising to use.
3. State two issues that influence your advertising choice.
Resources students will be provided or will
have to acquire:
Calculator
Scoring Guide
Powered by TCPDF (www.tcpdf.org)
Criteria for Student
Learning
Percent
Weight
Yes/Complete
In part/Almost
Not yet
Write and solve a
geometric series
given the online
commercial prompt.
40
Geometric series is
correctly defined and
computation is
correct. Proper math
symbols are used.
Geometric series is
correctly defined but
computation is
incorrect.
Geometric series has
yet to be defined and
computation has yet
to be performed, or
work contains major
conceptual errors.
Quantitatively
determine the form
of advertising to
use.
40
Decision is based on
quantitative
reasoning involving
the correct
computation
comparisons of TV
commercial
geometric series and
online commercial
geometric series.
Response shows that
reasoning is on track,
but the computation
comparisons of TV
commercial
geometric series and
online commercial
geometric series
have some errors.
Decision has yet to
be made since both
geometric series
calculations have yet
to be computed.
State two issues
that influence your
advertising choice.
20
Response indicates a
solid understanding
of how advertising
components affect a
marketing campaign.
Both issues are valid
and should be
considered prior to
making an advertising
decision.
Response indicates a
general
understanding of how
advertising
components affect a
marketing campaign.
One issue is valid
and should be
considered prior to
making an advertising
decision.
Response indicates a
limited to no
understanding of how
advertising
components affect a
marketing campaign.
Neither issue is valid
or has yet to be
suggested.