Secondary Mathematics II
Educational Links

Strand: FUNCTIONS - Interpret Functions (F.IF)

Interpret quadratic functions that arise in applications in terms of a context (Standards F.IF.4-6). Analyze functions using different representations (Standards F.IF.7-9).

Standard F.IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.^★

• 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 - Interpret Functions (F.IF) - 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 - Interpret Functions (F.IF).
• Functions and Everyday Situations
  This lesson unit is intended to help educators assess how well students are able to articulate verbally the relationships between variables arising in everyday contexts, translate between everyday situations and sketch graphs of relationships between variables, and interpret algebraic functions in terms of the contexts in which they arise. Students will also reflect on the domains of everyday functions and in particular whether they should be discrete or continuous.
• GeoGebra
  GeoGebra is dynamic online geometry software. Constructions can be made with points, vectors, segments, lines, polygons, conic sections, inequalities, implicit polynomials and functions. All of them can be changed dynamically afterwards.
• Graphing 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.
• Intercepts of Linear Equations video
  This video introduces the topic.
• 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.
• 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.
• Module 4: More Functions, More Features - Student Edition (Math 2)
  The Mathematics Vision Project, Secondary Math Two Module 4, More Functions, More Features, shifts focus to consider piecewise functions, absolute value functions, and inverse functions. Understanding of piecewise functions is built from students understanding of graphs and the stories that they can tell. Students learn to write functions for contexts in which rates change, making a piecewise function.
• Module 4: More Functions, More Features - Teacher Edition (Math 2)
  The Mathematics Vision Project, Secondary Math Two Module 4, More Functions, More Features, shifts focus to consider piecewise functions, absolute value functions, and inverse functions. Understanding of piecewise functions is built from students understanding of graphs and the stories that they can tell. Students learn to write functions for contexts in which rates change, making a piecewise function.
• Non-linear Functions video
  This video introduces non-linear functions.
• Representing Quadratic Functions Graphically
  This lesson unit is intended to help educators assess how well students are able to understand what the different algebraic forms of a quadratic function reveal about the properties of its graphical representation.
• Solving Quadratic Equations by Factoring
  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.
• Solving Quadratic Functions by Completing the Square video
  This video introduces and explains the topic.
• Sorting Equations of Circles 2
  This lesson unit is intended to help educators assess how well students are able to translate between the equations of circles and their geometric features, and sketch a circle from its equation.

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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.