Secondary Mathematics I [2011]

Draw examples from linear and exponential functions. In F.IF.3, draw connection to F.BF.2, which requires students to write arithmetic and geometric sequences. Emphasize arithmetic and geometric sequences as examples of linear and exponential functions.

• A Water Function - A Solidify Understanding Task
  Defining Function (F.IF.1) Features of Functions Module - Task 7
• A Water Function - Teacher Notes
  Teacher Notes for "A Water Function" task. Defining Function (F.IF.1) Features of Functions Module - Task 7
• Algebra Why and When video
  This video explains why and when algebra is needed instead of arithmetic functions.
• Connecting the Dots: Piggies and Pools - A Develop Understanding Task
  Introducing continuous linear and exponential functions (F.IF.3) Linear and Exponential Functions Module - Task 1
• Connecting the Dots: Piggies and Pools - Teacher Notes
  Teacher Notes for "Connecting the Dots: Piggies and Pools" task. (F.IF.3) Linear and Exponential Functions Module - Task 1
• Coordinates and the Cartesian Plane
  This lesson helps students understand functions and the domain and range of a set of data points.
• Counting the Trains
  In this unit of 3 lessons, students will investigate a relationship between recursive functions and exponential functions.
• Derivate
  Students may use the applet in this lesson to graph a function and a tangent line and view its equation.
• Function Flyer
  The applet on this site allows the students to manipulate the graph of a function by changing the value of exponents, coefficients and constants.
• Functions and the Vertical Line Test
  The vertical line test for functions is the focus of this lesson plan.
• Graphit
  With this interactive applet students are able to create graphs of functions and sets of ordered pairs on the same coordinate plane.
• 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.
• Interpreting Functions - A Practice Understanding Task
  Using graphs to solve problems given in function notation (F.BF.1b, F.IF.2, F.IF.4, F.IF. 5, F.IF.7, A.REI.11, A.CED.3) Features of Functions Module - Task 6
• Interpreting Functions - Teacher Notes
  Teacher Notes for "Interpreting Functions" task. (F.BF.1b, F.IF.2, F.IF.4, F.IF. 5, F.IF.7, A.REI.11, A.CED.3) Features of Functions Module - Task 6
• Interpreting Functions Curriculum Guide
  The Utah State Office of Education (USOE) and educators around the state of Utah developed these guides for the Secondary Mathematics 1 Cluster "Understand the concept of a function and use function notation." / Standards F.IF.1, F.IF.2, F.IF.3 and Cluster "Interpret functions that arise in applications in terms of a context" / Standards F.IF.4, F.IF.5 and F.IF.6 and Cluster "Analyze functions using different representations" / Standards F.IF.7 and F.IF.9.
• Introduction to Functions
  This lesson introduces students to functions and how they are represented as rules and data tables. They also learn about dependent and independent variables.
• Linear Functions
  The applet in this lesson allows students to manipulate variables and see the changes in the graphed line.
• Making it Happen (NCTM book)
  This NCTM publication is designed to help educators interpret and implement the Common Core State Standards for Mathematics.
• Match that Function - A Practice Understanding Task
  Matching features and representations of a specific function (F.IF.2, F.IF.4, F.IF. 5, F.IF.7, A.REI.11, A.CED.3) Features of Functions Module - Task 9
• Match that Function - Teacher Notes
  Teacher Notes for "Match that Function" task. (F.IF.2, F.IF.4, F.IF. 5, F.IF.7, A.REI.11, A.CED.3) Features of Functions Module - Task 9
• More Complicated Functions: Introduction to Linear Functions
  This lesson is designed to reinforce the concept of linear functions and ask students to write functions using English, tables and algebra.
• Pooling it Together - A Solidify Understanding Task
  Combining functions and analyzing contexts using functions (F.BF.1b, F.IF.2, F.IF.4, F.IF. 5, F.IF.7, A.REI.11, A.CED.3) Features of Functions Module - Task 5
• Pooling it Together - Teacher Notes
  Teacher Notes for "Pooling it Together" task. (F.BF.1b, F.IF.2, F.IF.4, F.IF. 5, F.IF.7, A.REI.11, A.CED.3) Features of Functions Module - Task 5
• Reading Graphs
  Through this lesson students will understand how to graph functions.
• Representing Functions and Relations
  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
  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 Polynomials
  This lesson unit is intended to help educators assess how well students are able to translate between graphs and algebraic representations of polynomials.
• Secondary I Textbook
  Secondary I Textbook is composed of modules that are aligned with the Utah Core State Standards for Mathematics. Each lesson begins with a worthwhile task that has been designed to develop mathematical understanding, solidify that understanding, or allow for practice of the new concepts, while focusing on the mathematical goals of the chosen learning cycle.
• Sequencer
  By using this applet students are able to create sequences by changing the values of starting numbers, multipliers, and add-ons.
• The Water Park - A Solidify Understanding Task
  Interpreting functions using notation (F.IF.2, F.IF.4, F.IF. 5, F.IF.7, A.REI.11, A.CED.3) Features of Functions Module - Task 4
• The Water Park - Teacher Notes
  Teacher Notes for "The Water Park" task (F.IF.2, F.IF.4, F.IF. 5, F.IF.7, A.REI.11, A.CED.3) Features of Functions Module - Task 4
• To Function or Not to Function - A Practice Understanding Task
  Identifying whether or not a relation is a function given various representations (F.IF.1, F.IF.3) Features of Functions Module - Task 8
• To Function or Not to Function - Teacher Notes
  Teacher Notes for "To Function or Not to Function" task. (F.IF.1, F.IF.3) Features of Functions Module - Task 8
• Using a Lottery to Illustrate Functions
  In this videotaped lesson students use a lottery to see the uniqueness of functional relationships. (5 minutes)
• Vertical Line Test
  This interactive applet asks the student to connect points on a plane in order to build a function and then test it to see if it's valid.