1.10+Grade+8+Algebra


 * Teachers****: Kevin Pettigrew, Warren Jackson, Julie Hoefs**
 * Textbook:** **Algebra 1, McDougal Littell, 2007**

"The learner will . . ." || **Standard(s)** || **No. of Days** || **Vocabulary Terms** || **Resources** || **Student Learning Activities** || **Assessment** || 8.1.2.a Use drawings, words, and symbols to explain the effects of such operations as multiplication and division 8.3.1 8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations 8.3.3 8.3.3.e Identify and explain equivalent forms of linear equations 8.1.4 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 8-12 || variable, algebraic expression, power, exponent, base, order of operations, rate, equation, inequality, formula, || textbook chapter 1 || daily assignments, notes || quizzes, worksheets, test || 8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations || 4-6 || function, domain, range, independent, dependent || textbook chapter 1 || daily assignments, notes || quizzes, worksheets, test || 8.1.1.a Compare and order real numbers 8.1.1.d Classify numbers as natural, whole,integer, rational, irrational, or real 8.1.2 8.1.2.a Use drawings, words, and symbols to explain the effects of such operations as multiplication and division of integers 8.1.3 8.1.3.a Compute accurately with rational numbers || 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 || 8.1.1.a Compare and order real numbers || 4-6 || real number, irrational number, rational number, whole number, integer || textbook chapter 2 || daily assignments, notes || quizzes, worksheets, test || 8.3.3.e Identify and explain the properties used in solving equations and inequalities || 6-10 || inverse operation, equivalent equations, identity || textbook chapter 3 || daily assignment, notes || quizzes, worksheets, test || 8.1.3.a Compute accurately with rational numbers 8.3.3 8.3.3.e Identify and explain the properties used in solving equations and inequalities || 2-4 || ratio, proportion, cross product || textbook chapter 3 || daily assignment, notes || quizzes, worksheets, test || 8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations 8.3.2 8.3.2.a Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form 8.3.3 8.3.3.c Solve multi-step equation involving rational numbers || 2-4 || scale drawing, scale model, scale, literal equation, function, function notation || textbook chapter 3 || daily assignment, notes || quizzes, worksheets, test || 8.2.2.a Use coordinate geometry to represent and examine the properties (e.g., parallel lines, perpendicular lines, circle equations) 8.3.1 8.3.1.c Identify slope || 6-10 || quadrant, standard form, linear function, x-intercept, y-intercept || textbook chapter 4 || daily assignment, notes || quizzes, worksheets, test || 8.3.1.c Identify the slope 8.2.2 8.2.2.a Use coordinate geometry to represent and examine the properties (e.g., parallel lines, perpendicular lines, circle equations) 8.1.4 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 4-6 || slope, rate of change, slope-intercept form, parallel || textbook chapter 4 || daily assignments, notes || quizzes, worksheets, test || 8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations 8.3.2 8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations) 8.1.4 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 2-4 || direct variation, constant of variation, function notation, parent linear function || textbook chapter 4 || daily assignments, notes || quizzes, worksheets, test || 8.3.1.c Identify the slope 8.3.2 8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations) 8.1.4 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 8-12 || point-slope form, converse, perpendicular || textbook chapter 5 || daily assignment, notes || quizzes, worksheets, test || 8.2.1 c Identify geometric properties of parallel lines cut by a transversal and related angles (e.g., parallel and perpendicular lines with transversals) 8.2.2 8.2.2.a Use coordinate geometry to represent and examine the properties (e.g., parallel lines, perpendicular lines, circle equations) 8.3.1 8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations || 2-4 || parallel, perpendicular || textbook chapter 5 || daily assignments, notes || quizzes, worksheets, test || 8.4.1.e Identify misrepresentation and misinterpretation of data represented in circle graphs and box plots 8.3.1 8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations 8.1.4 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 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 || 8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations) 8.3.3 8.3.3.e Identify and explain the properties used in solving equations and inequalities || 8-10 || graph of an inequality, equivalent inequalities, compound inequalities || textbook chapter 6 || daily assignments, notes || quizzes, worksheets, test || 8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations 8.3.2 8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations) || 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 || 8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations) 8.3.3 8.3.3.e Identify and explain the properties used in solving equations and inequalities || 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 || 8.1.3.b Evaluate expressions 8.3.3 8.3.3.b Evaluate numerical expressions containing whole number exponents. || 5-8 || power, exponent, base, reciprocal || textbook chapter 8 || daily assignments, test || quizzes, worksheets, test || 8.1.1.c Represent numbers using scientific notation || 2-3 || scientific notation, || textbook chapter 8 || daily assignments, test || quizzes, worksheets, test || 8.3.2.a Model contextualized problems using various representations 8.1.4 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 3-5 || exponential function, exponential growth, exponential decay || textbook chapter 8 || daily assignments, test || quizzes, worksheets, test || 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 6-8 || polynomial, monomial, trinomial, binomial, degree, leading coefficient, roots || textbook chapter 9 || daily assignments, test || quizzes, worksheets, test || 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 6-8 || perfect square trinomial, factor by grouping, linear factor || textbook chapter 9 || daily assignments, notes || quizzes, worksheets, test || 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 2-3 || factor completely || textbook chapter 9 || daily assignments, notes || quizzes, worksheets, test || 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 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 || 8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers. || 6-8 || quadratic equation, completing the square, quadratic formula || textbook chapter 10 || daily assignments, notes || quizzes, worksheets, test ||
 * ~ (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. || 8.1.2,
 * 2 || 1 || represent functions as rules and tables and graph these functions. || 8.3.1
 * 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. || 8.1.1
 * 4 || 1 || use conditional statements and logical reasoning to reason with real numbers. || 8.1.1
 * 5 || 1 || use properties of equality and the Distributive Property to solve various linear equations. || 8.3.3
 * 6 || 1 || write ratios and proportions, solve proportions using cross products, and solve percent problems. || 8.1.3
 * 7 || 1 || rewrite equations in function form and solve formulas and literal equations for a given variable. || 8.3.1
 * 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. || 8.2.2
 * 9 || 2 || use and interpret slope in real world problems and to identify parallel lines. || 8.3.1
 * 10 || 2 || write and graph direct variation equations and use them to solve real world problems. || 8.3.1
 * 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. || 8.3.1
 * 12 || 2 || write and find equations of lines parallel or perpendicular to given lines. || 8.2.1
 * 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. || 8.4.1
 * 14 || 2 || write, solve and graph inequalities using addition, subtraction, multiplication and division. || 8.3.2
 * 15 || 2 || solve and graph absolute value equations and inequalities. || 8.3.1
 * 16 || 3 || use graphing, substitution, and elimination to solve systems of linear equations and inequalities. || 8.3.2
 * 17 || 3 || apply properties of exponents involving products, quotients and use zero and negative exponents. || 8.1.3
 * 18 || 3 || read, write and compute using numbers in scientific notation. || 8.1.1
 * 19 || 3 || write and graph exponential growth and decay functions. || 8.3.2
 * 20 || 3 || identify, classify, add, subtract and multiply polynomials and write polynomials to describe and solve real world problems. || 8.1.4
 * 21 || 3 || factor polynomials and use factoring to solve equations || 8.1.4
 * 22 || 3 || factor polynomials completely using a variety of techniques || 8.1.4
 * 23 || 3 || graph quadratic functions and compare them to the parent graph || 8.1.4
 * 24 || 3 || solve quadratic equations by factoring, graphing, using square roots, completing the square, and using the quadratic formula || 8.1.4

"The learner will . . ." || **Standard(s)** || **No. of Days** || **Vocabulary Terms** || **Resources** || **Student Learning Activities** || **Assessment** || 8.3.1, 8.3.3, 8.1.4 || 8-12 || variable, algebraic expression, power, exponent, base, order of operations, rate, equation, inequality, formula, || textbook chapter 1 || daily assignments, notes || quizzes, worksheets, test || 8.1.2, 8.1.3 || 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 || 8.3.1, 8.3.3 || 6-10 || inverse operation, equivalent equations, identity || textbook chapter 3 || daily assignment, notes || quizzes, worksheets, test || 8.3.3, 8.1.4 || 2-4 || ratio, proportion, cross product || textbook chapter 3 || daily assignment, notes || quizzes, worksheets, test || 8.3.2, 8.3.3 || 2-4 || scale drawing, scale model, scale, literal equation, function, function notation || textbook chapter 3 || daily assignment, notes || quizzes, worksheets, test || 8.3.1, 8.1.4 || 6-10 || quadrant, standard form, linear function, x-intercept, y-intercept || textbook chapter 4 || daily assignment, notes || quizzes, worksheets, test || 8.2.1, 8.2.2 8.1.4 || 4-6 || slope, rate of change, slope-intercept form, parallel || textbook chapter 4 || daily assignments, notes || quizzes, worksheets, test || 8.3.2, 8.3.3, 8.1.4 || 2-4 || direct variation, constant of variation, function notation, parent linear function || textbook chapter 4 || daily assignments, notes || quizzes, worksheets, test || 8.3.2, 8.1.4 || 8-12 || point-slope form, converse, perpendicular || textbook chapter 5 || daily assignment, notes || quizzes, worksheets, test || 8.2.2, 8.3.1, || 2-4 || parallel, perpendicular || textbook chapter 5 || daily assignments, notes || quizzes, worksheets, test || 8.3.1, 8.1.4 || 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 || 8.3.2, 8.3.3 || 8-10 || graph of an inequality, equivalent inequalities, compound inequalities || textbook chapter 6 || daily assignments, notes || quizzes, worksheets, test || 8.3.1, 8.3.2, 8.3.3 || 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 || 8.3.3 || 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 || 8.3.3, || 5-8 || power, exponent, base, reciprocal || textbook chapter 8 || daily assignments, test || quizzes, worksheets, test || 8.1.2, 8.1.3, || 2-3 || scientific notation, || textbook chapter 8 || daily assignments, test || quizzes, worksheets, test || 8.3.2, 8.3.3, 8.1.4 || 3-5 || exponential function, exponential growth, exponential decay || textbook chapter 8 || daily assignments, test || quizzes, worksheets, test || 8.1.4 || 6-8 || polynomial, monomial, trinomial, binomial, degree, leading coefficient, roots || textbook chapter 9 || daily assignments, test || quizzes, worksheets, test || 8.1.4 || 6-8 || perfect square trinomial, factor by grouping, linear factor || textbook chapter 9 || daily assignments, notes || quizzes, worksheets, test || 8.1.4 || 2-3 || factor completely || textbook chapter 9 || daily assignments, notes || quizzes, worksheets, test || 8.1.4 || 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 ||
 * ~ (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. || 8.1.2,
 * 2 || 1 || represent functions as rules and tables and graph these functions. || 8.3.1 || 4-6 || function, domain, range, independent, dependent || textbook chapter 1 || daily assignments, notes || quizzes, worksheets, test ||
 * 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. || 8.1.1,
 * 4 || 1 || use conditional statements and logical reasoning to reason with real numbers. || 8.1.1 || 4-6 || real number, irrational number, rational number, whole number, integer || textbook chapter 2 || daily assignments, notes || quizzes, worksheets, test ||
 * 5 || 1 || use properties of equality and the Distributive Property to solve various linear equations. || 8.1.2,
 * 6 || 1 || write ratios and proportions, solve proportions using cross products, and solve percent problems. || 8.1.3,
 * 7 || 1 || rewrite equations in function form and solve formulas and literal equations for a given variable. || 8.3.1,
 * 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. || 8.2.2,
 * 9 || 2 || use and interpret slope in real world problems and to identify parallel lines. || 8.3.1,
 * 10 || 2 || write and graph direct variation equations and use them to solve real world problems. || 8.3.1,
 * 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. || 8.3.1,
 * 12 || 2 || write and find equations of lines parallel or perpendicular to given lines. || 8.2.1,
 * 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. || 8.4.1,
 * 14 || 2 || write, solve and graph inequalities using addition, subtraction, multiplication and division. || 8.3.1,
 * 15 || 2 || solve and graph absolute value equations and inequalities. || 8.1.3,
 * 16 || 3 || use graphing, substitution, and elimination to solve systems of linear equations and inequalities. || 8.3.1,
 * 17 || 3 || apply properties of exponents involving products, quotients and use zero and negative exponents. || 8.1.3,
 * 18 || 3 || read, write and compute using numbers in scientific notation. || 8.1.1,
 * 19 || 3 || write and graph exponential growth and decay functions. || 8.3.1,
 * 20 || 3 || identify, classify, add, subtract and multiply polynomials and write polynomials to describe and solve real world problems. || 8.3.3,
 * 21 || 3 || factor polynomials and use factoring to solve equations || 8.3.3
 * 22 || 3 || factor polynomials completely using a variety of techniques || 8.3.3
 * 23 || 3 || graph quadratic functions and compare them to the parent graph || 8.3.3
 * 24 || 3 || solve quadratic equations by factoring, graphing, using square roots, completing the square, and using the quadratic formula || 8.3.3, 8.1.4 || 6-8 || quadratic equation, completing the square, quadratic formula || textbook chapter 10 || daily assignments, notes || quizzes, worksheets, test ||
 * ||  ||   || LA 8.4.1 Information Fluency: Students will evaluate, create and communicate information in a variety of media and formats (textual, visual, and digital). ||   ||   ||   ||   ||   ||