the central idea with supporting evidence;

analyze mathematical relationships to connect and communicate mathematical ideas; and

features such as insets, timelines, and sidebars to support understanding; and

display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

organizational patterns such as logical order and order of importance;

Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations. The student is expected to:

recognize characteristics and structures of argumentative text by:

determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities;

identifying the claim;

write linear equations in two variables in various forms, including \(y = mx + b\), \(Ax + By = C\), and \(y - y_1= m(x - x_1)\), given one point and the slope and given two points;

explaining how the author has used facts for or against an argument; and

write linear equations in two variables given a table of values, a graph, and a verbal description;

identifying the intended audience or reader; and

write and solve equations involving direct variation;

recognize characteristics of multimodal and digital texts.

write the equation of a line that contains a given point and is parallel to a given line;

Author's purpose and craft: listening, speaking, reading, writing, and thinking using multiple texts. The student uses critical inquiry to analyze the authors' choices and how they influence and communicate meaning within a variety of texts. The student analyzes and applies author's craft purposefully in order to develop his or her own products and performances. The student is expected to:

write the equation of a line that contains a given point and is perpendicular to a given line;

explain the author's purpose and message within a text;

write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined;

analyze how the use of text structure contributes to the author's purpose;

write linear inequalities in two variables given a table of values, a graph, and a verbal description; and

analyze the author's use of print and graphic features to achieve specific purposes;

write systems of two linear equations given a table of values, a graph, and a verbal description.

describe how the author's use of imagery, literal and figurative language such as simile and metaphor, and sound devices achieves specific purposes;

Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. The student is expected to:

identify and understand the use of literary devices, including first- or third-person point of view;

determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including \(y = mx + b\), \(Ax + By = C\), and \(y - y_1= m(x - x_1)\);

examine how the author's use of language contributes to voice; and

calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems;

explain the purpose of hyperbole, stereotyping, and anecdote.

graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems;

Composition: listening, speaking, reading, writing, and thinking using multiple texts--writing process. The student uses the writing process recursively to compose multiple texts that are legible and uses appropriate conventions. The student is expected to:

graph the solution set of linear inequalities in two variables on the coordinate plane;

plan a first draft by selecting a genre for a particular topic, purpose, and audience using a range of strategies such as brainstorming, freewriting, and mapping;

determine the effects on the graph of the parent function \(f(x) = x\) when \(f(x)\) is replaced by \(af(x\)), \(f(x) + d\), \(f(x - c)\), \(f(bx)\) for specific values of \(a\), \(b\), \(c\), and \(d\);

develop drafts into a focused, structured, and coherent piece of writing by:

graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist;

organizing with purposeful structure, including an introduction, transitions, and a conclusion; and

estimate graphically the solutions to systems of two linear equations with two variables in real-world problems; and

developing an engaging idea reflecting depth of thought with specific facts and details;

graph the solution set of systems of two linear inequalities in two variables on the coordinate plane.

revise drafts to improve sentence structure and word choice by adding, deleting, combining, and rearranging ideas for coherence and clarity;

Linear functions, equations, and inequalities. The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on real-world data. The student is expected to:

edit drafts using standard English conventions, including:

calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association;

complete simple and compound sentences with subject-verb agreement and avoidance of splices, run-ons, and fragments;

compare and contrast association and causation in real-world problems; and

past tense of irregular verbs;

write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.