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Mathematics - Secondary Curriculum Secondary Mathematics I
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Strand: FUNCTIONS - Building Linear or Exponential Functions (F.BF)

Build a linear or exponential function that models a relationship between two quantities (Standards F.BF.12). Build new functions from existing functions (Standard F.BF.3).

Standard F.BF.2

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. Limit to linear and exponential functions. Connect arithmetic sequences to linear functions and geometric sequences to exponential functions.

  • ALGEBRA - Seeing Structure in Expressions (A.SSE) - Sec Math I Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for the Secondary Mathematics I - Seeing Structure in Expressions (A.SSE)
  • Exponential Parameters
    The task provides a reasonably straight-forward introduction to interpreting the parameters of an exponential function in terms of a modeling context. The task has students both generate an exponential expression from a contextual description, and in reverse, interpret parameters in a context from an algebraic expression.
  • FUNCTIONS - Building Linear or Exponential Functions (F.BF) - Sec Math I Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for the Secondary Mathematics I - Building Linear or Exponential Functions (F.BF)
  • Inductive Patterns
    This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
  • Inductive Reasoning
    This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
  • Inductive Reasoning video
    This video introduces and explains the topic.
  • Introduction to the Materials (Math 1)
    Introduction to the Materials in the Mathematics One of the The MVP classroom experience begins by confronting students with an engaging task and then invites them to grapple with solving it. As students ideas emerge, take form, and are shared, the teacher orchestrates the student discussions and explorations towards a focused mathematical goal. As conjectures are made and explored, they evolve into mathematical concepts that the community of learners begins to embrace as effective strategies for analyzing and solving problems.
  • Module 2: Linear & Exponential Functions - Student Edition (Math 1)
    The Mathematics Vision Project, Secondary Math One Module 2, Linear and Exponential Functions, begins with a learning cycle that introduces contexts with continuous domains and defining linear functions as having a constant rate of change and exponential functions as having a constant ratio over equal intervals.
  • Module 2: Linear & Exponential Functions - Teacher Notes (Math 1)
    Mathematics Vision Project, Secondary Math One Module 2 Teacher Notes, Linear and Exponential Functions, begins with a learning cycle that introduces contexts with continuous domains and defining linear functions as having a constant rate of change and exponential functions as having a constant ratio over equal intervals.
  • Representing Patterns
    This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
  • Representing Patterns video
    This video introduces tables and graphs as representations of patterns.
  • Student Task: Best Buy Tickets
    Susie is organizing the printing of tickets for a show. She has collected prices from several printers. The student's task is to use graphs and algebra to advise Susie on how to choose the best printer.
  • Student Task: Patchwork
    Kate makes patchwork cushions using right triangles made from squares of material. In this task, students must investigate number patterns and to find a rule, or a formula, that will help Kate figure out the number of squares she needs for cushions of different sizes.
  • Student Task: Printing Tickets
    Susie is organizing the printing of tickets for a show. She has collected prices from several printers. The student's task is to use graphs and algebra to advise Susie on how to choose the best printer.
  • Student Task: Sidewalk Patterns
    In this task, students will look for rules which let you work out how many blocks of different colors are needed to make different sized patterns.
  • Student Task: Sidewalk Stones
    In this task, students will look for rules which let them work out how many blocks of different colors are needed to make different sized patterns.
  • Student Task: Skeleton Tower
    In this task, students must work out a rule for calculating the total number of cubes needed to build towers of different heights.
  • Student Task: Table Tiling
    In this task, students must work out how many whole, half and quarter tiles tiles are needed to cover the tops of tables of different sizes.


UEN logo http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey  Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.