Algebra I Module 5, Topic A, Overview

Work Group

Topic A focuses on the skills inherent in the modeling process:  representing graphs, data sets, or verbal descriptions using explicit expressions (F-BF.A.1a) when presented in graphic form in Lesson 1, as data in Lesson 2, or as a verbal description of a contextual situation in Lesson 3.  They recognize the function type associated with the problem (F-LE.A.1b, F-LE.A.1c) and match to or create 1- and 2-variable equations (A-CED.A.1, A-CED.2) to model a context presented graphically, as a data set, or as a description (F-LE.A.2). Function types include linear, quadratic, exponential, square root, cube root, absolute value, and other piecewise functions.  Students interpret features of a graph in order to write an equation that can be used to model it and the function (F-IF.B.4, F-BF.A.1) and relate the domain to both representations (F-IF.B.5).  This topic focuses on the skills needed to complete the modeling cycle and sometimes uses purely mathematical models, sometimes real-world contexts.

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Common Core Learning Standards

CCLS State Standard
N.Q .2 Define appropriate quantities for the purpose of descriptive modeling.
A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph...
F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs...

Curriculum Map