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Mathematics - Secondary Curriculum Secondary Mathematics II
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Strand: FUNCTIONS - Building Functions (F.BF)

Build a function that models a relationship between two quantities (Standard F.BF.1). Build new functions from existing functions (Standard F.BF.3).

Standard F.BF.1

Write a quadratic or exponential function that describes a relationship between two quantities.

  • Applications of Quadratic Functions
    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.
  • Applications of Quadratic Functions video
    This video introduces and explains the topic.
  • FUNCTIONS - Building Functions (F.BF) - Sec Math II Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for the Secondary Mathematics II - Building Functions (F.BF).
  • Generalizing Patterns: Table Tiles
    This lesson unit is intended to help educators assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types that are needed for a range of square tabletops.
  • Introduction to the Materials (Math 2)
    Introduction to the Materials in the Mathematics Two 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.
  • Medical Testing
    This lesson unit is intended to help educators assess how well students are able to make sense of a real life situation and decide what math to apply to the problem, understand and calculate the conditional probability of an event A, given an event B, and interpret the answer in terms of a model, and represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams.
  • Module 1: Quadratic Functions - Student Edition (Math 2)
    The Mathematics Vision Project, Secondary Math Two Module 1, Quadratic Functions, picks up where students left off with linear and exponential functions, using the same types of diagrams and representations to introduce quadratic functions. The entire module focuses on the features of quadratic functions, comparing quadratics to other functions, and representing quadratic functions.
  • Module 1: Quadratic Functions - Teacher Edition (Math 2)
    The Mathematics Vision Project, Secondary Math Two Module 1, Quadratic Functions, picks up where students left off with linear and exponential functions, using the same types of diagrams and representations to introduce quadratic functions. The entire module focuses on the features of quadratic functions, comparing quadratics to other functions, and representing quadratic functions.
  • Module 2: Structures of Expressions - Student Edition (Math 2)
    The Mathematics Vision Project, Secondary Math Two Module 2, Structures of Expressions is both a functions module and an algebra module. It is designed to extend students knowledge of quadratic functions and to reinforce two big ideas of functions, Functions can be transformed in the same, predictable way and Different algebraic forms have purpose in different situations.
  • Module 2: Structures of Expressions - Teacher Edition (Math 2)
    The Mathematics Vision Project, Secondary Math Two Module 2, Structures of Expressions is both a functions module and an algebra module. It is designed to extend students knowledge of quadratic functions and to reinforce two big ideas of functions, Functions can be transformed in the same, predictable way and Different algebraic forms have purpose in different situations.
  • Polynomials
    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 Conditional Probabilities 2
    This lesson unit is intended to help educators assess how well students understand conditional probability.
  • Representing Trigonometric Functions - Ferris Wheel
    This lesson unit is intended to help educators assess how well students are able to model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions, and interpret the constants a, b, c in the formula h = a + b cos ct in terms of the physical situation, where h is the height of the person above the ground and t is the elapsed time.
  • Student Task: Building Functions
    This is a short task on building functions.


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.