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Reading & Writing Process

Students will use a variety of recursive reading and writing processes.

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Functions

Interpreting Functions

9-12.F-IF.1 - 9-12.F-IF.3 Understand the concept of a function and use function notation.

BL

9-12.F-IF.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

BL

9-12.F-IF.2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context

BL

9-12.F-IF.3

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers

9-12.F-IF.4 - 9-12.F-IF.9 Interpret functions that arise in applications in terms of the context.

BL

9-12.F-IF.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship

BL

9-12.F-IF.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes

BL

9-12.F-IF.6

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval

BL

9-12.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

BL

9-12.F-IF.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function

BL

9-12.F-IF.9

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions)

Building Functions

9-12.F-BF.1 - 9-12.F-BF.2 Build a function that models a relationship between two quantities.

BL

9-12.F-BF.1

Write a function that describes a relationship between two quantities

BL

9-12.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

9-12.F-BF.3 - 9-12.F-BF.4 Build new functions from existing functions.

BL

9-12.F-BF.3

Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs

BL

9-12.F-BF.4

Find inverse functions

Linear, Quadratic, and Exponential Models

9-12.F-LE.1 - 9-12.F-LE.3 Construct and compare linear, quadratic, and exponential models and solve problems.

BL

9-12.F-LE.1

Distinguish between situations that can be modeled with linear functions and with exponential functions

BL

9-12.F-LE.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs

BL

9-12.F-LE.3

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function

9-12.F-LE.5 - 9-12.F-LE.6 Interpret expressions for functions in terms of the situation they model.

BL

9-12.F-LE.5

Interpret the parameters in a linear or exponential function in terms of a context

9-12.F-LE.6

Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity

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