Algebra I Curriculum Pacing/Assessment Guide 2013-2014 SY Unit Linear Algebra in One Variable Content Lessons A.1.1.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots and exponents A.1.1.1.5 Simplify expressions involving polynomials LEQ – How are numerical expressions simplified? (order of operations, numerical expression) A1.1.2.1 Write, solve, and/or graph linear equations using various methods. LEQ – How are single variable equations solved and graphed? (inverse operations, opposite, reciprocal, identity, solution) LEQ – How are real numbers classified and compared? (real, rational, irrational, integer) LEQ – How are algebraic properties used to simplify linear expressions? (variable expression, coefficient, variable, constant, like terms, distributive property) LEQ – How are real world problems modeled using linear equations and graphs? A1.1.3.1 Write, solve, and/or graph linear inequalities using various methods. Linear Inequalities in One Variable A1.1.3.1 Write, solve, and/or graph linear inequalities using various methods. LEQ – How are single variable inequalities solved and graphed? (compound inequality, solution set, interval notation) LEQ – How are real world problems modeled using linear inequalities and graphs? LEQ – What is the relationship between absolute value equations/inequalities and linear equations/inequalities? (absolute value) Book Sections 1-2, 1-5, 1-6 (1-1, 1-2, 21, 2-2, 2-3) 1-3 (1-3) 1-4, 1-7 (2-4, 2-5) 2-1, 2-2, 2-3, 2-4 (3-1, 3-2, 33, 3-4, 3-5, 3-6) Eligible Content A1.1.1.1.1 A1.1.1.5.1 A1.1.2.1.1 A1.1.2.1.2 A1.1.2.1.3 Same as above 3-1, 3-2, 3-3, 3-4, 3-6 (4-1, 4-2, 43, 4-4, 4-5) Same as above 3-7 (4-6) A1.1.3.1.1 A1.1.3.1.2 A1.1.3.1.3 PACC Standards 2.1.8.E.1 2.1.8.E.4 2.1.HS.F.2 2.2.HS.D.1 2.2.HS.D.2 2.2.HS.D.3 (Linear Only) 2.2.8.B.3 2.1.HS.F.3 2.1.HS.F.4 2.1.HS.F.5 2.2.HS.D.7 2.2.HS.D.8 2.2.HS.D.9 2.2.HS.D.10 2.2.HS.C.3 2.2.HS.D.7 2.2.HS.D.9 2.2.HS.D.10 2.2.HS.F.5 # of Days Dates 3 3 Quiz Aug 12Sept 6 CDTs end Aug/early Sept 12 Quiz 6 Sept 9Sept 20 A1.1.3.1.1 2.2.HS.D.7 2.2.HS.D.9 2.2.HS.D.10 2.2.HS.F.5 3 Quiz Algebra I Curriculum Pacing/Assessment Guide 2013-2014 SY Unit Content Lessons Book Sections A1.2.1.1 Analyze and/or use patterns or relations. LEQ – How is algebra used to describe and analyze patterns and/or relations? (relation, function, dependent variable, independent variable, domain, range, ordered pair, vertical line test) LEQ – How are linear functions represented through the use of equations, graphs, and/or tables? 4-1, 4-6 (5-1, 5-2) A1.2.1.2 Interpret and/or use linear functions and their equations, graphs, or tables. A1.2.2.1 Describe, compute, and/or use the rate of change (slope) of a line. Linear Algebra in Two Variables 4-2 (5-3, 5-4) LEQ – How are rates of change used, identified, and described? (rate of change) 5-1 (6-1) LEQ – How are problems solved using slope? (slope, rise/run) 5-1 (6-1, 6-2) LEQ – How is a linear equation written given the graph of the line? 5-3 (6-3, 6-4, 6-5) LEQ – How is a linear equation graphed and written using two points? 5-3 (6-3, 6-4, 6-5) LEQ – How is a linear equation graphed and written using a point and the slope? 5-4 (6-3, 6-4, 6-5) Optional Extension: LEQ – How are the equations (slope and intercept) of parallel and perpendicular lines related? 5-6 (6-6) Eligible Content A1.2.1.1.1 A1.2.1.1.2 A1.2.1.1.3 A1.2.1.2.1 A1.2.1.2.2 A1.2.2.1.1 A1.2.2.1.2 A1.2.2.1.3 A1.2.2.1.4 A1.2.2.1.1 A1.2.2.1.2 A1.2.2.1.3 A1.2.2.1.4 PACC Standards 2.2.HS.C.1 2.2.HS.C.2 2.2.HS.C.3 2.4.HS.B.2 2.2.8.B.2 2.1.HS.F.3 2.1.HS.F.4 2.2.HS.C.2 2.2.HS.C.3 2.2.HS.C.4 2.2.HS.C.6 2.4.HS.B.2 2.2.8.C.1 2.2.8.C.2 2.2.HS.C.1 2.2.HS.C.3 2.2.HS.C.5 (Linear Only) 2.2.8.C.1 2.2.8.C.2 2.2.HS.C.1 2.2.HS.C.3 2.2.HS.C.5 (Linear Only) # of Days Dates 4 6 Quiz Sept 23Dec 12 CDTs in Oct/Nov 10 (Project) End of 1st Quarter Assessment Oct 11 17 2 Quizzes (1st quiz half way through the lesson. 2nd quiz at the end.) Mid-term Dec 16-19 Algebra I Curriculum Pacing/Assessment Guide 2013-2014 SY Unit Content A1.2.2.2 Analyze and/or interpret data on a scatter plot. Data Analysis Univariate A1.2.3.1 Use measures of dispersion to describe a set of data. A1.2.3.2 Use data displays in problem-solving settings and/or to make predictions. A1.2.3.3 Apply probability to practical situations. Lessons Book Sections LEQ – How are equations of lines of best fit written and used to analyze scatter plots and make predictions about the data? (scatter plot, line of best fit, trend line, correlation) LEQ - How do measures of dispersion describe a set of data? (range, quartile, IQR) 5-7 (6-7) LEQ – How are data interpreted and used to make predictions? (stem-and-leaf, box-and-whisker, circle, line, and bar graph, central tendency, mean, median, mode, histogram) LEQ – How are probabilities of compound events calculated and interpreted? (outcome, sample space, event, probability, odds, independent, dependent, compound, and, or) Eligible Content A1.2.2.2.1 PACC Standards 2.4.HS.B.2 2.4.HS.B.3 2.2.HS.C.6 12-3 (Act Lab p52) A1.2.3.1.1 2.4.HS.B.1 2.4.HS.B.3 12-4, 12-2 (Act Lab p38, 52, 1-6) A1.2.3.2.1 A1.2.3.2.2 A1.2.3.2.3 2.4.HS.B.1 2.4.HS.B.3 2.4.HS.B.5 12-7, 12-8 (2-6, 2-7) A1.2.3.3.1 2.4.HS.B.4 2.4.HS.B.7 # of Days Dates 3 1 6 Quiz (Project) 4 Quiz Jan 6 – Jan 28 Algebra I Curriculum Pacing/Assessment Guide 2013-2014 SY Unit Content A1.1.2.2 Write, solve, and/or graph systems of linear equations using various methods. Systems of Linear Eq/Ineq in Two Variables A1.1.3.2 Write, solve, and/or graph systems of linear inequalities. Lessons Book Sections LEQ – How are systems of linear equations solved graphically? (consistent, inconsistent, dependent, independent) 6-1 (7-1) LEQ – How are systems of linear equations solved algebraically? (substitution, elimination/linear combination) 6-2, 6-3, 6-4 (7-2, 7-3, 7-4) LEQ – How are systems of linear inequalities solved graphically? (consistent, inconsistent, dependent, independent) 6-5, 6-6 (7-5, 7-6) Eligible Content A1.1.2.2.1 A1.1.2.2.2 A1.1.2.2.1 A1.1.2.2.2 A1.1.3.2.1 A1.1.3.2.2 PACC Standards 2.2.8.B.3 2.2.HS.D.9 2.2.HS.D.10 2.2.HS.F.5 2.2.8.B.3 2.2.HS.D.9 2.2.HS.D.10 2.2.HS.F.5 2.1.HS.F.5 2.2.HS.D.10 # of Days Dates 5 Jan 30-Mar 19 13 Quiz after 10 days (Project) 10 Quiz CDTs Feb/Mar End of 3rd Quarter Assessment Mar 19 (12th) Algebra I Curriculum Pacing/Assessment Guide 2013-2014 SY Unit Content A1.1.1.3 Use Laws of Exponents, roots, and/or absolute values to solve problems. Exponents Polynomials Lessons LEQ – How are laws of exponents used to simplify and solve problems? LEQ – How are laws of exponents used to simplify and solve problems involving exponents that are fractional, negative, and/or zero? A.1.1.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots and exponents LEQ – What is the relationship between rational exponents and radicals? A1.1.1.2 Apply number theory concepts to show relationships between real numbers in problem solving settings A1.1.1.5 Simplify expressions involving polynomials including addition, subtraction, multiplication and factoring of polynomials. LEQ – How are the GCF and LCM calculated for sets of monomials? LEQ – How are square root expressions simplified? Book Sections 7-2, 7-3, 7-4 (8-1, 8-3, 8-4, 8-5) 7-1, 7-2, 7-3, 7-4 (Supplement) 7-5 (Supplement) 1-3, 7-5, 10-2, 10-3 (3-8, 11-1, 11-2) Supplement (PreAlg 4-3) Eligible Content A1.1.1.3.1 PACC Standards 2.1.8.B.1 2.1.HS.F.1 2.1.HS.F.2 # of Days 10 Quiz Mar 21-Apr 23 A1.1.1.1.2 2.1.HS.F.1 7 Quiz A1.1.1.2.1 2.1.6.E.3 2 LEQ – How are operations performed on polynomial expressions? LEQ – How are algebraic expressions factored? (Note: Trinomials limited to the form ax2 + bx + c where a = 1 after factoring out all monomial factors) 8-1, 8-2, 8-3, 8-4 (9-1, 9-2, 9-3, 9-4) 8-5, 8-7 (9-5, 9-6 Ex. #3) Dates A1.1.1.5.1 A1.1.1.5.2 A1.1.1.5.3 2.2.HS.D.1 2.2.HS.D.2 2.2.HS.D.3 2.2.HS.D.5 2.2.HS.D.6 Apr 23-May 9 Keystone Prep May 5-9 10 Quiz Keystones May 12-16 Final Exams May 19-22