HSF.IF.A.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
HSF.IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
HSF.BF.A.1 Write a function that describes a relationship between two quantities.*
HSF.IF.B.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.*
HSF.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
Identifying key features of functions is an essential skill that will continue to come up during Algebra 1A, 1B, and throughout Algebra 2. For this reason, there is a curriculum based measure students may use to work on mastery of these skills. In Algebra 1, students should be comfortable with up to increasing/decreasing and will learn positive and negative throughout Algebra 2. For axis of symmetry, students should know that none of the examples currently have one. If the domain was unrestricted, what would the axis of symmetry be?
Please email scordinoj@issaquah.wednet.edu for a copy of any classroom notes. As there is no way to password protect the work, all notes are available via email in addition to hard copies provided in class.
enVisions Textbook: Lesson 3-1 (Pgs. 89-94)
I can determine if a relation is a function. I can identify if a function is one to one. I can identify if a function is discrete or continuous.
IXL.com
8.Z.1 Identify Functions
A1.Q.1 Relations: convert between tables, graphs, mappings, and lists of points
A1.Q.4 Identify functions
A1.Q.5 Identify functions: Vertical Line Test
A2.D.2 Identify functions
Khan Academy
Algebra 1 --> Functions --> Evaluating Functions
Algebra 1 --> Functions --> Recognizing Functions
Additional Website Links
I can determine the domain and range of a function. I can express this in set or interval notation.
IXL.com
8.Z.22 Domain and Range of Functions (set notation only)
A1.Q.2 Domain and Range of Relations (set notation only)
Khan Academy
Algebra 1 --> Functions --> Inputs and Outputs of a Function
Algebra 1 --> Functions --> Introduction to the Domain and Range of a Function
Algebra 1 --> Functions --> Determining the Domain of a Function
Additional Website Links
I can identify the x-intercept(s) and/or y-intercept.
IXL.com
Khan Academy
I can identify when a function is increasing or decreasing.
IXL.com
Khan Academy
Algebra 1 --> Functions --> Intervals where a function is positive, negative, increasing, or decreasing
Algebra 1 --> Functions --> Interpreting Features of Graphs
**Extension Opportunities for Functions
Online Games/Activities (Some will be considerably more fun than others):