Algebra+1B

"The learner will . . ." || **Standard(s)** || **No. of Days** || **Vocabulary Terms** || **Resources** || **Student Learning Activities** || **Assessment** || 12.3.1.a Represent, interpret, and analyze functions with graphs, tables, and algebraic notation and convert among these representations (e.g., linear, non-linear) 12.3.3 12.3.3.f Identify and generate equivalent forms of linear equations 12.1.4 12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 8-12 || variable, algebraic expression, power, exponent, base, order of operations, rate, equation, inequality, formula, || textbook chapter 1 || daily assignments, notes || quizzes, worksheets, test || 12.3.1.a Represent, interpret, and analyze functions with graphs, tables, and algebraic notation and convert among these representations 12.3.1.b Identify domain and range of functions represented in either symbolic or graphical form 12.3.1.e Graph linear and non-linear functions LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 4-6 || function, domain, range, independent, dependent || textbook chapter 1 || daily assignments, notes || quizzes, worksheets, test || 12.1.1.b Compare, contrast and apply the properties of numbers and the real number system, including rational, irrational, imaginary, and complex numbers 12.1.2 12.1.2.a Use drawings, words, and symbols to explain the effects of such operations as multiplication and division, and computing positive powers and roots on the magnitude of quantities (e.g., if you take the square root of a number, will the result always be smaller than the original number? 12.1.3 12.1.3.a Compute accurately with real numbers LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 8-12 || whole number, integer, rational number, opposites, absolute value, additive inverse, multiplicative identity, equivalent expressions, distributive property, square root, radicand, perfect square, irrational number, real number, distributive property || textbook chapter 2 || daily assignments, notes || quizzes, worksheets, test || 12.1.1.b Compare, contrast and apply the properties of numbers and the real number system, including rational, irrational, imaginary, and complex numbers LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 4-6 || real number, irrational number, rational number, whole number, integer || textbook chapter 2 || daily assignments, notes || quizzes, worksheets, test || 12.3.3.h Identify and explain the properties used in solving equations and inequalities LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 6-10 || inverse operation, equivalent equations, identity || textbook chapter 3 || daily assignment, notes || quizzes, worksheets, test || 12.1.3.a Compute accurately with real numbers 12.3.3 12.3.3.f Identify and generate equivalent forms of linear equations 12.3.3.h Identify and explain the properties used in solving equations and inequalities LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 2-4 || ratio, proportion, cross product || textbook chapter 3 || daily assignment, notes || quizzes, worksheets, test || 12.3.1.h Represent, interpret, and analyze functions and their inverses 12.3.2 12.3.2.a Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form 12.3.3 MA 12.3.3.o Solve an equation involving several variables for one variable in terms of the others LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 2-4 || scale drawing, scale model, scale, literal equation, function, function notation || textbook chapter 3 || daily assignment, notes || quizzes, worksheets, test || 12.2.2.a Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) 12.3.1 12.3.1.e Graph linear and non-linear functions LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 6-10 || quadrant, standard form, linear function, x-intercept, y-intercept || textbook chapter 4 || daily assignment, notes || quizzes, worksheets, test || 12.3.1.c Identify the slope and intercepts of a linear relationship from an equation or graph 12.2.2 12.2.2.a Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) 12.1.4 12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text (e.g., cursive, manuscript, font, graphics, symbols). || 4-6 || slope, rate of change, slope-intercept form, parallel || textbook chapter 4 || daily assignments, notes || quizzes, worksheets, test || 12.3.1.f Compare and analyze the rate of change by using ordered pairs, tables, graphs, and equations 12.3.2 12.3.2.a Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form, inequalities in slope intercept form, system of linear equations with two variables) 12.1.4 12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text (e.g., cursive, manuscript, font, graphics, symbols). || 2-4 || direct variation, constant of variation, function notation, parent linear function || textbook chapter 4 || daily assignments, notes || quizzes, worksheets, test || 12.3.1.c Identify the slope and intercepts of a linear relationship from an equation or graph 12.3.2 12.3.2.a Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form, inequalities in slope intercept form, system of linear equations with two variables) 12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 8-12 || point-slope form, converse, perpendicular || textbook chapter 5 || daily assignment, notes || quizzes, worksheets, test || 12.2.1 c State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles) 12.2.2 12.2.2.a Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) 12.3.1 12.3.1.a Represent, interpret, and analyze functions with graphs, tables, and algebraic notation and convert among these representations (e.g., linear, non-linear) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 2-4 || parallel, perpendicular || textbook chapter 5 || daily assignments, notes || quizzes, worksheets, test || 12.4.1.f Create scatter plots, analyze patterns, and describe relationships in paired data 12.3.1 12.3.1.a Represent, interpret, and analyze functions with graphs, tables, and algebraic notation and convert among these representations (e.g., linear, non-linear) 12.3.1.f Compare and analyze the rate of change by using ordered pairs, tables, graphs, and equations 12.1.4 12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text (e.g., cursive, manuscript, font, graphics, symbols). || 2-4 || scatter plots, correlation, line of fit, best fitting line, linear regression, interpolation, extrapolation, zero of a function || textbook chapter 5 || daily assignments, notes || quizzes, worksheets, test || 12.3.2.a Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form, inequalities in slope intercept form, system of linear equations with two variables) 12.3.3 12.3.3.h Identify and explain the properties used in solving equations and inequalities LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 8-10 || graph of an inequality, equivalent inequalities, compound inequalities || textbook chapter 6 || daily assignments, notes || quizzes, worksheets, test || 12.3.1.a Represent, interpret, and analyze functions with graphs, tables, and algebraic notation and convert among these representations (e.g., linear, non-linear) 12.3.2 12.3.2.d Model contextualized problems using various representations for non-linear functions (e.g., quadratic, exponential, square root, and absolute value) 12.3.3 12.3.3.g Solve linear equations and inequalities including absolute value LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 4-6 || absolute value equation, absolute deviation, linear inequality in two variables, graph of an inequality in two variables || textbook chapter 6 || daily assignments, notes || quizzes, worksheets, test || 12.3.2.a Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form, inequalities in slope intercept form, system of linear equations with two variables) 12.3.3 12.3.3.p Analyze and solve systems of two linear equations in two variables algebraically and graphically LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 12-15 || system of linear equations, solution of a system of linear equations, consistent independent system, inconsistent system, consistent dependent system, system of linear inequalities, solution of a system of linear inequalities, graph of a system of linear inequalities || textbook chapter 7 || daily assignments, notes || quizzes, worksheets, test || 12.1.3.b Simplify exponential expressions (e.g., powers of -1, 0, ½ 12.3.3 12.3.3.b Simplify algebraic expressions involving exponents LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 5-8 || power, exponent, base, reciprocal || textbook chapter 8 || daily assignments, test || quizzes, worksheets, test || 12.1.3.c Multiply and divide numbers using scientific notation LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 2-3 || scientific notation, || textbook chapter 8 || daily assignments, test || quizzes, worksheets, test || 12.3.1.d Identify characteristics of linear and non-linear functions 12.3.1.h Represent, interpret, and analyze functions and their inverses 12.3.2 12.3.2.d Model contextualized problems using various representations for non-linear functions (e.g., quadratic, exponential, square root, and absolute value) 12.1.4 12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text (e.g., cursive, manuscript, font, graphics, symbols). || 3-5 || exponential function, exponential growth, exponential decay || textbook chapter 8 || daily assignments, test || quizzes, worksheets, test || 12.3.3.c Add and subtract polynomials 12.3.3.d Multiply and divide polynomials 12.1.4 12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 6-8 || polynomial, monomial, trinomial, binomial, degree, leading coefficient, roots || textbook chapter 9 || daily assignments, test || quizzes, worksheets, test || 12.3.3.e Factor polynomials 12.3.3.i Solve quadratic equations (e.g., factoring, graphing, quadratic formula) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 6-8 || perfect square trinomial, factor by grouping, linear factor || textbook chapter 9 || daily assignments, notes || quizzes, worksheets, test || 12.3.3.e Factor polynomials LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 2-3 || factor completely || textbook chapter 9 || daily assignments, notes || quizzes, worksheets, test || MA 12.3.3.i Solve quadratic equations (e.g., factoring, graphing, quadratic formula) 12.1.4 12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text (e.g., cursive, manuscript, font, graphics, symbols). || 3-5 || quadratic function, parabola, parent quadratic function, vertex, axis of symmetry, minimum value, maximum value || textbook chapter 10 || daily assignments, notes || quizzes, worksheets, test || MA 12.3.3.i Solve quadratic equations (e.g., factoring, graphing, quadratic formula) 12.1.4 12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. || 6-8 || quadratic equation, completing the square, quadratic formula || textbook chapter 10 || daily assignments, notes || quizzes, worksheets, test ||
 * Teachers: Kevin Pettigrew, Becky Thorberg **
 * Textbook: ** ** Algebra 1, McDougal Littell, 2007 **
 * ~ (1) ||~ (2) ||~ (3) ||~ (4) ||~ (5) ||~ (6) ||~ (7) ||~ (8) ||~ (9) ||
 * **Obj #** || **Unit** || **Objective:**
 * 1 || 1 || write and evaluate expressions, equations, and inequalities using order of operations and real-world problems. || 12.1.2.a Use drawings, words, and symbols to explain the effects of such operations as multiplication and division
 * 2 || 1 || represent functions as rules and tables and graph these functions. || 12.3.1
 * 3 || 1 || classify and order integers and rationals, perform basic operations, find square roots, apply properties to evaluate and simplify expressions, and use the Distributive Property to write equivalent expressions. || 12.1.1
 * 4 || 1 || use conditional statements and logical reasoning to reason with real numbers. || 12.1.1
 * 5 || 1 || use properties of equality and the Distributive Property to solve various linear equations. || 12.3.3
 * 6 || 1 || write ratios and proportions, solve proportions using cross products, and solve percent problems. || 12.1.3
 * 7 || 1 || rewrite equations in function form and solve formulas and literal equations for a given variable. || 12.3.1
 * 8 || 2 || plot points in a coordinate plane and use tables, x and y intercepts to graph linear functions, and use these skills in real world situations. || 12.2.2
 * 9 || 2 || use and interpret slope in real world problems and to identify parallel lines. || 12.3.1
 * 10 || 2 || write and graph direct variation equations and use them to solve real world problems. || 12.3.1
 * 11 || 2 || write linear equations in slope-intercept, point slope, and standard form and graph these equations and use them to solve real world problems. || 12.3.1
 * 12 || 2 || write and find equations of lines parallel or perpendicular to given lines. || 12.2.1
 * 13 || 2 || make scatter plots of data, find the line of best fit, interpret the data, perform linear regression, and make predictions using the graph and equation. || 12.4.1
 * 14 || 2 || write, solve and graph inequalities using addition, subtraction, multiplication and division. || 12.3.2
 * 15 || 2 || solve and graph absolute value equations and inequalities. || 12.3.1
 * 16 || 3 || use graphing, substitution, and elimination to solve systems of linear equations and inequalities. || 12.3.2
 * 17 || 3 || apply properties of exponents involving products, quotients and use zero and negative exponents. || 12.1.3
 * 18 || 3 || read, write and compute using numbers in scientific notation. || 12.1.3
 * 19 || 3 || write and graph exponential growth and decay functions. || 12.3.1
 * 20 || 3 || identify, classify, add, subtract and multiply polynomials and write polynomials to describe and solve real world problems. || 12.3.3
 * 21 || 3 || factor polynomials and use factoring to solve equations || 12.3.3
 * 22 || 3 || factor polynomials completely using a variety of techniques || 12.3.3
 * 23 || 3 || graph quadratic functions and compare them to the parent graph || 12.3.3
 * 24 || 3 || solve quadratic equations by factoring, graphing, using square roots, completing the square, and using the quadratic formula || 12.3.3