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

adjectives, including their comparative and superlative forms;

Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions. The student is expected to:

conjunctive adverbs;

solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides;

prepositions and prepositional phrases and their influence on subject-verb agreement;

solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides; and

pronouns, including indefinite;

solve systems of two linear equations with two variables for mathematical and real-world problems.

subordinating conjunctions to form complex sentences;

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

capitalization of abbreviations, initials, acronyms, and organizations;

determine the domain and range of quadratic functions and represent the domain and range using inequalities;

italics and underlining for titles and emphasis, and punctuation marks, including quotation marks in dialogue and commas in compound and complex sentences; and

write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form \((f(x) = a(x - h)^2+ k)\), and rewrite the equation from vertex form to standard form \((f(x) = ax^2+ bx + c)\); and

correct spelling of words with grade-appropriate orthographic patterns and rules and high-frequency words; and

write quadratic functions when given real solutions and graphs of their related equations.

publish written work for appropriate audiences.

Quadratic functions and equations. The student applies the mathematical process standards when using graphs of quadratic functions and their related transformations to represent in multiple ways and determine, with and without technology, the solutions to equations. The student is expected to:

Composition: listening, speaking, reading, writing, and thinking using multiple texts--genres. The student uses genre characteristics and craft to compose multiple texts that are meaningful. The student is expected to:

graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry;

compose literary texts such as personal narratives, fiction, and poetry using genre characteristics and craft;

describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions; and

compose informational texts, including brief compositions that convey information about a topic, using a clear central idea and genre characteristics and craft;

determine the effects on the graph of the parent function \(f(x) = x^2\) when \(f(x)\) is replaced by \(af(x)\), \(f(x) + d\), \(f(x - c)\), \(f(bx)\) for specific values of \(a\), \(b\), \(c\), and \(d\).

compose argumentative texts, including opinion essays, using genre characteristics and craft; and

Quadratic functions and equations. The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. The student is expected to:

compose correspondence that requests information.

solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula; and

Inquiry and research: listening, speaking, reading, writing, and thinking using multiple texts. The student engages in both short-term and sustained recursive inquiry processes for a variety of purposes. The student is expected to:

write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

generate and clarify questions on a topic for formal and informal inquiry;

Exponential functions and equations. The student applies the mathematical process standards when using properties of exponential functions and their related transformations to write, graph, and represent in multiple ways exponential equations and evaluate, with and without technology, the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. The student is expected to:

develop and follow a research plan with adult assistance;

determine the domain and range of exponential functions of the form \(f(x) = ab^x\) and represent the domain and range using inequalities;

identify and gather relevant information from a variety of sources;

interpret the meaning of the values of \(a\) and \(b\) in exponential functions of the form \(f(x) = ab^x\) in real-world problems;

understand credibility of primary and secondary sources;

write exponential functions in the form \(f(x) = ab^x\) (where \(b\) is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay;

demonstrate understanding of information gathered;

graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems; and

differentiate between paraphrasing and plagiarism when using source materials;

write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.

develop a bibliography; and

Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions. The student is expected to:

use an appropriate mode of delivery, whether written, oral, or multimodal, to present results.

add and subtract polynomials of degree one and degree two;

multiply polynomials of degree one and degree two;

determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend;

rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;