Aug 17, 2016 - Algebra I Module 3: Linear and Exponential Functions
In earlier grades, students define, evaluate, and compare functions and use them to model relationships between quantities. In this module,...
Apr 15, 2016 - Algebra I Module 5: A Synthesis of Modeling with Equations and Functions
In Module 5, students synthesize what they have learned during the year about functions to select the correct function type in...
Feb 09, 2016 - Algebra I Module 4: Polynomial and Quadratic Expressions, Equations, and Functions
In earlier modules, students analyze the process of solving equations and developing fluency in writing,...
Jan 26, 2016 - In Topic C, students extend their understanding of piecewise functions and their graphs including the absolute value and step functions. They learn a graphical approach to circumventing complex...
Jan 26, 2016 - Topic A introduces polynomial expressions. In Module 1, students learned the definition of a polynomial and how to add, subtract, and multiply polynomials. Here, their work with multiplication is...
Jan 26, 2016 - Students apply their experiences from Topic A as they transform quadratic functions from standard form to vertex form, (x) = a(x - h)2 + k in Topic B. The strategy known as completing the square is...
Jan 26, 2016 - In Topic C, students explore the families of functions that are related to the parent functions, specifically for quadratic (f(x) = x2), square root (f(x) = the square root of x), and cube root (f(x...
Jan 26, 2016 - 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...
Jan 26, 2016 - Tables, graphs, and equations all represent models. We use terms such as “symbolic” or “analytic” to refer specifically to the equation form of a function model; “descriptive model” refers to a...
Jan 26, 2016 - Student Outcomes
Students recognize when a table of values represents an arithmetic or geometric sequence. Patterns are present in tables of values. They choose and define the parameter values for...
Jan 26, 2016 - Student Outcomes
Students write equations to model data from tables, which can be represented with linear, quadratic, or exponential functions, including several from Lessons 4 and 5. They recognize...
Jan 26, 2016 - Student Outcomes
Students use linear, quadratic, and exponential functions to model data from tables, and choose the regression most appropriate to a given context. They use the correlation...
Jan 26, 2016 - Student Outcomes
Students interpret the function and its graph and use them to answer questions related to the model, including calculating the rate of change over an interval, and always using an...
Jan 26, 2016 - Student Outcomes
From a graphic representation, students recognize the function type, interpret key features of the graph, and create an equation or table to use as a model of the context for...
Jan 26, 2016 - Student Outcomes
Students recognize linear, quadratic, and exponential functions when presented as a data set or sequence, and formulate a model based on the data.
Jan 26, 2016 - Student Outcomes
Students make sense of a contextual situation that can be modeled with linear, quadratic, and exponential functions when presented as a word problem. They analyze a verbal...
Jan 26, 2016 - Student Outcomes
Students create a two-variable equation that models the graph from a context. Function types include linear, quadratic, exponential, square root, cube root, and absolute value. ...
Jan 26, 2016 - Student Outcomes
Students compare two different quadratic, square root, or cube root functions represented as graphs, tables, or equations. They interpret, contextualize and abstract various...
Jan 26, 2016 - Student Outcomes
Students graph simple quadratic equations of the form y = a(x - h)2 + k (completed-square or vertex form), recognizing that (h,k) represents the vertex of the graph and use a graph...
Jan 26, 2016 - Student Outcomes
Students use the factored form of a quadratic equation to construct a rough graph, use the graph of a quadratic equation to construct a quadratic equation in factored form, and...
Jan 26, 2016 - Student Outcomes
Students solve complex quadratic equations, including those with a leading coefficient other than 1, by completing the square. Some solutions may be irrational. Students draw...
Jan 26, 2016 - Student Outcomes
Students create piecewise and step functions that relate to real-life situations and use those functions to solve problems.
Students interpret graphs of piecewise and step functions...
