Horizontal Curriculum Map by 3-Week Block 1B 1A Block Common Core Standard(s) F-IF.1, F-IF.2 F-IF.7a,b A-REI.10, F-IF.4, F-IF.5 A-SSE.3a, ASSE.2, N-Q.1, ACED.2, F-IF.4, FIF.5, F-IF.7a, FIF.8a, F-IF.9, FBF.1a, A-REI.4b, A-REI.4a COURSE:_Common Core Algebra 1 Topic(s)/ Essential Question(s) How does the family of quadratic functions look? What are the characteristics of their graphs? How do I identify non-linear graphs? Can I make graphs of a variety of nonlinear functions? Can I use function notation, and determine the domain and range of functions? Can I identify important quantities in situations and describe their relationships using graphs? Can I use algebra tiles to develop symbolic-manipulation skills of writing and simplifying algebraic expressions? Do I understand the meaning of ‘minus’ and how to make ‘zero”? Can I solve for a variable if I know that two expressions are equal Conte nt/Mat erials 1.1.1, 1.1.2, 1.1.3, 1.2.1, 1.2.2, 1.2.3, 1.2.4, 1.2.5 Chapter Closure A.1.1, A.1.2, A.1.3, A.1.4, A.1.5, A.1.6, A.1.7, A.1.8, A.1.9 Appendix Closure Skills Needed Integers, Fractions, Square Root, Cube Root, Absolute Value Evaluating Expressions, Order of Operations, Combining Like Terms and Simplifying Developed by Nancy Fung, June 2014 Assessments Participation Quiz: 1.2.2 Presentations: 1.1.3, 1.2.1 Problems such as: 125, 1-30, 1-42. 147, 1-59, 1-69, and CL 1-86, 1-57, 166, 1-68, CL 1-88, 1-70, 1-72, 1-80, and CL 1-90, 1-78, 2-9, CL 2-126, 181. 2-9, 2-52, CL 2-126, 1-72. 2-23. 235 Chapter 1 Test: Checkpoint 1: 1-16, 1-19, 1-36, 1-40, 1-49. 1-67, and CL 187 Diamond Problems: 1-21, 1-26, 1-33, 1-51, CL 1-85 Absolute Value: 1-5, 1-34, 1-48, 1-61, and CL 1-89 Square root and cube root: 1-35, 1-39, 1-58, CL 1-89 Participation Quizzes: A.1.4 Presentations: A.1.2 More than half from previous chapter: A-10, A-18, A-57, A-97, CL A-105, A-17, A-30, A-53, A-84, CL A98 Problems: A-21, A-46, A-82, A-96-74, CL A-104, A-5, CL A-101 Academic Vocabulary Domain, function, graph, input, maximum, output, range, minimum, equation, parabola, x-intercept, yintercept, xy table, line of symmetry, quadratic function, absolute value, cube root Binomial, factor, generic rectangle, graph, monomial, parabola, product, quadratic equation, situation, root, solution, standard form, zeros, graphing form, sum, symmetry, differences of squares, factor completely, xintercept, vertex, Zero Product Property, perfect square trinomial, factored form, completing the square, table, yintercept Block Common Core Standard(s) 2A 1C F-IF.7a, F-LE.1a, F-LE.2, F-LE.5, FIF. 6, A-SSE.1a, 1b, A-REI.10, FIF.4, F-BF.1a, NQ.1, N-Q.2, ACED.2, F-IF.9 A-SSE.3c, AREI.1, A-REI.3, ASSE.3a, A-APR.1, A-SSE 1.a, ACED.4 Topic(s)/ Essential Question(s) Can I create a representation of a problem, consider the units involved, and understand the meaning of the quantities using tables, graphs and equations? What is the connection between the starting value and the growth in patterns with the slope and y-intercept on a graph? What is the difference between lines that point upward, lines that point downward, and lines that are horizontal or vertical? How does slope represent the rate of change in situations that do not involve motion? How do I develop an algebraic method for finding the equation of a line when given only two points on a line? How can algebra tiles be used to physically and visually represent an equation? How can I use algebra tiles and generic rectangles to develop a method to rewrite products of binomials and other polynomials? Can I solve one-variable equations containing products and absolute value? How do I solve multi-variable equations for one of the variables? Conte nt/Mat erials 2.1.1, 2.1.2, 2.1.3, 2.1.4, 2.2.1, 2.2.2, 2.2.3, 2.3.1, 2.3.2 Chapter Closure 3.1.1, 3.1.2, 3.2.1, 3.2.2, 3.2.3, 3.2.4, 3.3.1, 3.3.2, 3.3.3 Chapter Closure Skills Needed Evaluating Expressions, Order of Operations Exponents, Absolute Value, Distributive Property, Operations with Rational Numbers Assessments Participation Quiz: 2.2.2 Presentations: 2.1.1, 2.1.3, 2.1.4, 2.2.2, 2.3.1, 2.3.2 More than half review of previous chapter (1-79, 2-9, 2-52, CL 2-108, 232, 2-35, CL 2-110) Problems: 2-41, 2-62, 2-64, 2-86, 2-99, and CL 2-103, 2-33, 2-48, 2-65, 2-74, CL 2-101. 2-31. 2-51, 2-67(d), CL 2105(a), 2-6, 2-22, 2-59, CL 2-106, 261(c), 2-93, 2-98, CL 2-104, 2-41, 2-44, 2-85, CL 2-102, 2-63, 2-73, 2-100, 242, 2-71, 2-91, 2-61, 2-90, 2-94, 2-98, 179, 2-9, 2-52, 1-82, 2-23, 2-35 Participation Quiz: 3.2.4 Presentations: 3.2.1, 3.2.2, 3.2.3, 3.2.4, 3.3.2 More than half from previous chapter (3-22, 3-24, 3-38, 3-108, CL 3-119 (a, c), 3-96, 3-109, CL 3-119(b), 3-24, 338, 3-51, 3-62, 3-108, CL 3-119(c)) Problems: 3-6, 3-12, 3-19, 3-75(b), 398, CL 3-118, 3-20, 3-75(a, c), 3-112, CL 3-121, 3-83, 3-101, 3-111, CL 3115, 3-81, 3-100, CL 3-115, 3-81, 3100, CL 3-114 (a, c), 3-70, 3-81, 3-103, CCL 3-114 (b, d), 3-77, 3-102, 3-107, CL 3-116 (a, b), 3-94, 3-104, CL 3-117 Master Checkpoint 3: 3-11, 3-37, 3-63, 3-95, 3-110, CL 3-120 Academic Vocabulary Coefficient, graph, growth, linear equation, zero slope, piecewise graph, starting value, rate of change, slope, slope triangle, Figure 0, steepness, situation, Delta x, xintercept, y = mx + b, function, parameter, Delta y, y-intercept, variable, unit rate, table Area, terms, distributive property, polynomial, expression, “legal” moves, generic rectangle, integer, dimensions, equation, product, algebra tiles, closed sets, sum, solution, solve, standard form, length x width, binomial, evaluate, base, exponent 2C 2B Block Common Core Standard(s) N-Q.2, A-SSE.1b, A-CED.1, ACED.3, A-REI.6, F-LE.1b, ACED.2, A-REI.5, A-REI.10, N-Q.1 N-Q.2, F-LE.1c, FLE.2, F-IF.3, FIF.6, F-LE.1a, FLE.3, F-IF.6 Topic(s)/ Essential Question(s) Can I write and solve mathematical sentences (such as one-and twovariable equations) to solve situational word problems? Can I develop methods to solve systems of equations in different forms? What does it mean for a system to have no solutions or infinite solutions? What are ways to know which solving method is most efficient and accurate? What are important connections between solving equations, multiple representation, and systems of equations? How can I use tables, graphs, and equations to represent growth? How are sequences categorized? How do I create multiple representations of arithmetic sequences, including equations for sequences that depend on previous terms? How is growth represented by multiplication and by addition? How can I create multiple representations of geometric sequences and compare sequences to functions? Conte nt/Mat erials 4.1.1, 4.1.2, 4.2.1, 4.2.2, 4.2.3, 4.2.4, 4.2.5, 4.3.1 Chapter Closure 5.1.1, 5.1.2, 5.1.3, 5.2.1, 5.2.2, 5.2.3, 5.3.1, 5.3.2, 5.3.3 Chapter Closure Skills Needed Solving equations with Distributive Property, Multiplying Binomials, Solving MultiVariable NonLinear Equations for one variable, Simplify Expressions with Zero and Negative Exponents Laws of Exponents, Scientific Notation Assessments Participation Quizzes: 4.1.2, 4.2.4, 4.2.5 Presentations: 4.1.2, 4.2.2, 4.2.4, 4.2.5 More than half from previous chapter (4-37, 4-53, 4-113, CL 4-120, 4-76, 499, 4-114, CL 4-121, 4-11, 4-41, 4-107, CL 4-124) Problems: 4-46, 4-60(c), 4-61, 4-71(c), 4-81(b), 4-98(c), 4-111(a), CL 4-118(a, c), 4-60(b), 4-71(a), 4-81(a), 4-98(b), CL 4-118(b), 4-61, 4-81, 4-98(a), CL 4117, 4-60 (c), 4-81(c), 4-111(a), CL 4116, 4-46, 4-74, 4-81, CL 4-122, 4-10, 4-50, CL 4-122, 4-38, 4-51, 4-62, 4-82, 4-104, CL 4-119, 4-9, 4-37, 4-86, CL 4120 (e, f) Participation Quiz: 5.2.1 Presentation: 5.2.1 More than half from previous chapter (4-71, 4-82, CL 4-113, CL 5-126, 5-53, 5-81 (b), CL 6-126 (d) Problems: 5-49, 5-56 (a), 5-86, 5-91, CL 5-124, 5-56, 5-57, 5-63, 5-67, 5-86 (b), 5-105, CL 5-125(a), 5-40, 5-68, 596, 5-101, CL 5-125 (a), 5-74, 5-77, 5108, CL 5-130, 5-9, 5-10, 5-13, 5-24, CL 5-128, 5-11, 5-16, 5-45, CL 5—129 Academic Vocabulary Infinite solutions, coincide, Elimination Method, Equal Values Method, equation, graph, “let” statement, mathematical sentence, no solutions, y=mx + b, parallel, point of intersection, situation, Substitution Method, system of equations, table, model Arithmetic sequence, sequence generator, common ratio, linear function, exponential function, first term, geometric sequence, initial value, t(0), multiplier, yintercept, domain, sequence, term, common difference, recursive sequence, term number 3B 3A Block Common Core Standard(s) N-Q.2, F-LE.1c, FLE.2, F-IF.3, FIF.6, F-LE.1a, FLE.3 N-Q.1, S-ID.6a, SID.6c, S-ID.7, NQ.3, S-ID.6b, SID.8, S-ID.9 Topic(s)/ Essential Question(s) How do I model relationships mathematically in order to describe, analyze, make predictions, and draw conclusions about a set of data? How do I “eyeball” a line of best fit and use it to make predictions? Can I describe the form, direction, strength, and outliers of an association? How do I calculate residuals and create upper and lower bounds for predictions? How do I create a residual plot and analyze it to determine whether a model is an appropriate fit to the data? How do I calculate the correlation coefficient and R^2 and interpret them in context? How can I use mathematical terms to describe the form, direction, and strength of an association? How do I create a curved best-fit model to non-linear scatterplots? How do I make connections between the multiple representations while making sense of the situations? How do I identify exponential growth when given situations, tables, graphs, or equations, and make connections between these representations? How do I solve exponential equations? How do I apply exponential functions to real-life situations involving growth and decay? How do fractional exponents allow me to find exponential equations that fit given data? Conte nt/Mat erials 6.1.1, 6.1.2, 6.1.3, 6.1.4, 6.2.1, 6.2.2, 6.2.3, 6.2.4, 6.2.5 Chapter Closure 7.1.1, 7.1.2, 7.1.3, 7.1.4, 7.1.5, 7.1.6, 7.2.1, 7.2.2, 7.2.3 Chapter Closure Skills Needed Writing Equation of a Geometric Sequence, Multiplier, Solving a System of Equations Writing Equations, Solving Linear Systems of Equations Assessments No participation quiz, attention needed to guide teams. Presentations: 6.1.1, 6.1.2, 6.2.1, 6.2.2, 6.2.4 More than half from previous chapter (6-44, 6-56, 6-89, CL 6-128, CL 6-129, 6-36, 6-44, 6-76, CL 6-129, CL 6-130, 6-18, 6-25, 6-56, CL 6-128, 6-6, 6-37, 6-101, CL 6-131) Problems: 6-4(a), 6-24, 6-85(a), CL 6122(a), 6-35(a), 6-55(d), CL 6-122(c), 6-16, 6-24(b), 6-35(c), CL 6-123(a), 641(d), 6-35(b), 6-55(f), 6-73(c), CL 6123(a), 6-55(a), 6-42(c), 6-73(c), CL 6122(b), 6-41(b), 6-55(b, c), CL 6-123 (b, c), 6-73(f), 6-85(c), 6—124, 6-99, CL 6-124, 6-100, 6-111, CL 6-127 Participation Quizzes: 7.1.5, 7.1.6 Presentations: 7.1.1, 7.2.2, 7-94, 7-95 More than half from previous chapter (7-11(b), 7-29, 7-39 (b), 7-57(b), 7-110 (a), CL 7-122 (b), CL-123(a), 7-11(c), 7-29, 7-110(b), CL 7-122(c), 7-11(d), 7-78(a), 7-110(b), CL 7-122(d), 717(c), 7-57(c), 7-78(c), CL 7-123(c) Problems: 7-37 (c), 7-38(b), 7-76, 799, CL 7-117(c), 7-37, 7-48, 7-63, 7-73, 7-24, 7-36, 7-62, 7-87, CL 7-117, CL 7120, 7-47, 7-61, CL 7-116, 7-7, 7-13, 727, CL 7-118, 7-40, 7-55, 7-77, CL 7119 Academic Vocabulary Residual plot, slope, outliers, R^2, form, extrapolation, model, correlation coefficient, LSRL, association, random scatter, r, residual, line of best fit, direction, cause, lurking variable, upper and lower bounds, strength, predictions, Appreciation, asymptote, depreciation, exponential function, half-life, initial value, multiplier, parameter, roots, step function, compound interest, fractional exponents 4A 3C Block Common Core Standard(s) F-IF.4, A-CED.1, A-CED.2, F-IF.6, F-LE.az, F-LE.1c, F-LE.2, F-LE.5, ASSE.1b, F-IF.7B, F-LE.1a, F-IF.7b, N-Q.1, N-Q.2, FBF.1a, F-LE.2, AREI.10, F-BF.1a, F-LE.2, F-LE.1c A-SSW 3b, A-REL 4a, A-REI 4b, ACED 1, A-CED 2, F-IF 8a, F-LE.6, A-REL 3, N-Q.2, A-REI.10, A-REI 12, A-CED 3, NQ.2, A-CED.3, Topic(s)/ Essential Question(s) Conte nt/Mat erials Am I able to develop a method to change a quadratic equation written as a sum into its product form (factored form)? Can I generate each representation of a quadratic function (rule, graph, table, and situation) from each of the others? Can I develop a method to find the xintercepts of a parabola using the Zero Product Property? Can I complete the square to change between standard from and graphing form of a quadratic function? 8.1.1, 8.1.2, 8.1.3, 8.1.4, 8.1.5, 8.2.1, 8.2.2, 8.2.3, 8.2.4, 8.2.5 Chapter Closure How do you solve quadratic questions? How do I solve onevariable inequalities? Can I graph two-variable Inequalities? What is the difference between graphing linear and non-linear inequalities? How do I use inequalities to solve problems? 9.1.1 9.1.2 9.1.3 9.1.4 9.2.1 9.2.2 9.3.1 9.3.2 9.4.1 9.4.2 9.4.3 Chapter Closure Skills Needed Simplify Fractional Exponents, Write the Equation for a Sequence Assessments Participation Quiz: 8.1.3 Presentation: 8.2.1 More than half from previous chapter (8-32, 8-50, 8-75, CL 8-117, 7-108, 8-8, 8-19, 8-40, 8-52, CL 8-120) Problems: 8-17, 8-31, 8-39, 8-49, 8-74, CL 8-112, 8-73, 8-83, CL 8-116, 8-44, 8-58, 8-69, CL 8-115, 8-73, 8-83, 894(a), CL 8-115, 8-85, 8-107, CL 8112, 8-34, 8-54, 8-61, 8-111, CL 8-122 Participation Quiz: 9.2.1, Presentation: 9.1.4 – 35, 9.2.2 – 58, 9.4.1-93, 9.4.3. More than half from the previous chapter (9. 17, 9-27, 9-6, 9-99, 9-18, 928, 9-55, 9.76, 9-51, 9-59. 9-84, 9-94, 9-71, 9-85, 9-100, 9-110 (d), 9-43, 9-96, 9-72, CL 9-131 Academic Vocabulary Binomial, factor, generic rectangle, graph, monomial, parabola, product, quadratic equation, situation, root, solution, standard form, zeros, graphing form, sum, symmetry, differences of squares, factor completely, xintercept, vertex, Zero Product Property, perfect square trinomial, factored form, completing the square, table, yintercept Zero Product Property, boundary, number line, quadratic equation, graph, quadratic formula, complete the square, region, factoring, inequality, systems of inequalities, standard form, coordinates, solution Block Common Core Standard(s) 4B N-Q.1, S-ID.6a, SID. 6c, S-ID.7, DQ.3, S-ID. 6b, NQ.1, S-ID.8, S-ID.9 Topic(s)/ Essential Question(s) How do I determine association of categorical data that is represented on a two-way table? Can I develop new ways to solve unfamiliar, complicated equations involving fractions, square roots, exponents, and absolute values? Can I determine the number of solutions that are possible for quadratic and absolute value equations without solving them? What is an imaginary number? What is the difference between intercepts and intersections? How do I find the intersection of two functions, and how can I use the intersection to estimate the solution of very complex equations? Can I solve quadratic and absolute value inequalities? Conte nt/Mat erials 10.1.1, 10.2.1, 10.2.2, 10.2.3, 10.2.4, 10.2.5, 10.2.6, 10.3.1, 10.3.2, 10.3.3 Chapter Closure Skills Needed Factoring Polynomials, Curve-Fitting an Exponential Equation to Two Points, Writing TwoVariable Inequalities from a Situation Assessments Participation Quizzes: 10.2.1, 10.3.2 Presentations: 10.2.3, 10. 3.2 More than half from previous chapter (10-33, 10-44, 10-94, CL 10-148, 1073, 10-85, 10-116, CL 10-152) Problems: 10-16, 10-29, 10-59, 10113, CL 10-144, 10-39, 10-54, 10-67 (c), 10-83 (b), CL 10-143 (a), 10-53, 10-67, 10-83 (a), CL 10-143, 10-67 (a), 10-139, CL 10-151, 10-81, 10-91 (b), 10-124 (c), CL 10-151, 10-82, 10-96, 10-115, CL 10-147, 10-114, 10-130, 10140, CL 10-149, 10-19, 10-58, 10-119, 10-21, 10-69, 10-95, 10-142, CL 10-146 Academic Vocabulary Absolute value, factored form, boundary point, equivalent equations, exponent, number system, fraction buster, inequality, association, number line, looking inside, relative frequency, real number, quadratic equation, standard form for quadratics, Quadratic Formula, rewriting, rational number, base, undoing, perfect square form, categorical data, intersection, twoway table, irrational number, two-way table, irrational number, intercept, imaginary number, simplifying solution, integer 4C Block Common Core Standard(s) F-IF.4, A-CED.1, A-CED.2, F-IF.6, F-LE.1a, F-LE.1c, F-LE.2, F-LE.5, ASSE.1b, A-SSE.3c, N-Q.1, N-Q.2, FIF.5, F-BF.1a, AREI.10, F-BF.1a Topic(s)/ Essential Question(s) Can I add or multiply by a constant to transform linear, quadratic, and exponential functions? Can I undo functions to find the inverse function? Can I identify differences between graphical representations of singlevariable data? Can compare the center, shape, spread, and outliers of two distributions? Can I develop a new way to describe the spread called standard deviation? Conte nt/Mat erials 11.1.1, 11.1.2, 11.2.1, 11.2.2, 11.2.3, 11.3.1, 11.3.2, 11.3.3, 11.3.4, 11.3.5 Chapter Closure Skills Needed Intersection between Linear and Quadratic Functions, Solving Quadratic and Absolute Inequalities Assessments Participation Quizzes: 11.1, 11.3 Presentations: 11.1.1, 11.2.1, 11.3.1, 11.3.4 More than half from previous chapter (11-59, 11-92, 11-116, 11-126, CL 11142, 11-5 (c), 11-21, 11-30, 11-38, CL 11-138 Problems: 11-4, 11-10, 11-22, 11-48, CL 11-140, 11-20, 11-29, 11-54, CL 11-139, 11-53, 11-68 (a), 11-85, 11-103 (b), CL 11-141 (a), 11-46 (c), 11-67, 11-68 (b), 11-79, 11-103 (a), 11-115, CL 11-141 (b), 11-13, 11-39, 11-49, 1169, 11-121, CL 11-143 Academic Vocabulary Histogram, transformation, outlier, center, IQR, boxplot, inverse function, spread, median, scatterplot, inverse function of x, standard deviation, undo, shape, statistic, mean