Units
Unit 1: Linear Equations (9 days)
Unit 2: Linear Inequalities (8 days)
Unit 3: Graphing Linear Functions (17 days)
Standards
Unit 1 Linear Equations
(A.5) 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:
A.5.A 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;
(A.10) 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:
A.10.D rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property.
(A.12) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. The student is expected to:
A.12.E solve mathematics and scientific formulas, and other literal equations, for a specified variable.
Unit 2 Linear Inequalities
(A.5) 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:
A.5.B 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.
Unit 3 Graphing linear Functions
(A.12) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. The student is expected to:
A.12.A decide whether relations represented verbally, tabularly, graphically, and symbolically define a function;
A.12.B evaluate functions, expressed in function notation, given one or more elements in their domains.
(A.2) 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:
A.2.A determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for realworld situations, both continuous and discrete; and represent domain and range using inequalities;
A.2.D write and solve equations involving direct variation.
(A.3) 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:
A.3.A 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});
A.3.B calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and realworld problems;
A.3.C graph linear functions on the coordinate plane and identify key features, including xintercept, yintercept, zeros, and slope, in mathematical and realworld problems;
A.3.E 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 o f a, b, c, and d.

Units
Unit 4: Writing Linear Functions (17 days)
Unit 5: Solving Systems of Equations(17 days)
Standards
Unit 4 Writing linear Functions
(A.2) 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:
A.2.B 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;
A.2.C write linear equations in two variables given a table of values, a graph, and a verbal description;
A.2.E write the equation of a line that contains a given point and is parallel to a given line;
A.2.F write the equation of a line that contains a given point and is perpendicular to a given line;
A.2.G write an equation of a line that is parallel or perpendicular to the x or yaxis and determine whether the slope of the line is zero or undefined.
(A.3) 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:
A.3.A 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}).
(A.4) Linear functions, equations, and inequalities. The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on realworld data. The student is expected to:
A.4.A calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity a s a measure of the strength of the linear association; A.4.B compare and contrast association and causation in realworld problems;
A.4.C write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for realworld problems.
(A.12) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. The student is expected to:
A.12.D write a formula for the n^{th }term of arithmetic and geometric sequences, given the value of several of their terms.
Unit 5 Solving Systems of Linear Equations
(A.2) 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:
A.2.I write systems of two linear equations given a table of values, a graph, and a verbal description.
(A.3) 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:
A.3.F graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist;
A.3.G estimate graphically the solutions to systems of two linear equations with two variables in realworld problems;
(A.5) 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:
A.5.A 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;
A.5.C solve systems of two linear equations with two variables for mathematical and realworld problems.

Mathematical Process Standards
(A.1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:
A.1.A apply mathematics to problems arising in everyday life, society, and the workplace;
A.1.B use a problemsolving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problemsolving process and the reasonableness of the solution;
A.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;
A.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;
A.1.E create and use representations to organize, record, and communicate mathematical ideas;
A.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and
A.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

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