Sheridan County School District 1 Pacing Guide SUBJECT/GRADE LEVEL Algebra I Outcome # Outcome Description Month Taught Quarter Assessed 1 X 2 3 4 Alg1.1 Students will apply the order of operations; write, evaluate, and simplify algebraic expressions; use unit analysis in conversions. Aug-Sept 4 wks Alg1.2 Students will solve one variable inequalities and absolute value equations, and apply these to solve real world problems. Students will rearrange formulas. Sept-Oct 4 wks Alg1.3 Students will interpret functions, identify domain and range; write linear equations; write and graph linear inequalities; write and graph the line of best fit using technology; and apply these skills to write, graph and solve real world. problems.will solve, explain and apply linear systems and Students linear inequality systems to real world situations. Nov-Dec 5 wks X Dec 3-4 wks X Alg1.5 Students will interpret data, define and use the probability rules to solve real world reasoning problems. Jan 4 wks X Alg1.6 Students will simplify expressions with exponents; graph and apply exponential functions to real world situations. Feb 3-4 wks X Alg1.7 Students will classify, add, subtract, multiply and factor polynomials. Mar-Apr 4 wks X Alg1.8 Students will simplify, add, subtract, multiply, divide and rationalize numeric and algebraic square roots. Apr 2-3 wks X Alg1.9 Students will graph, solve equations and apply quadratic functions to real world situations. May-June 4 wks X Alg1.4 Updated 5-06-2016 X HS Standard Reference Codes Number & Quantity The Real NNumber System RN Quantities NQ NCN NVM SP Algebra Functions Geometry Statistics & Probability Interpreting Categorical S-ID A-SSE Seeing Structure in Expressions F-IF Interpreting Functions G-CO Congruence A-APR Arithmetic with Polynomials & Rational Expressions Creating Equations F-BF Building Functions G-SRT Similarity, Right Triangles & Trigonometry S-IC Making Inferences & Justifying Conclusions F-LE Linear, Quadratic & Exponential Models G-C Circles S-CP Conditional Probability & Rules of Probability Reasoning with Equations & Inequalities F-TF Trigonometric Functions G-GPE Expressing Geometric Properties with Equations S-MD Using Probability to Make Decisions G-GMD Geometric Measurement & Dimension Modeling with Geometry The Complex Number System A-CED Vector & Matrix Quantities A-REI & Quantitative Data Statistics & Probability G-MG Algebra 1 Semester 1 STANDARD REFERENCE Algebra 1 Purpose Components Unit Outcome MA.Alg1.1 MA.Alg1.1.1 MA.Alg1.1.2 MA.Alg1.1.3 Components Unit Outcome MA.Alg1.2 MA.Alg1.2.1 MA.Alg1.2.3 MA.Alg1.2.4 Unit Outcome MA.Alg1.3 Components MA.Alg1.3.1 MA.Alg1.3.2 MA.Alg1.3.3 MA.Alg1.3.4 Students will interpret linear, quadratic, and exponential functions; demonstrate polynomial manipulation, and determine probability. Students will apply the order of operations; write, evaluate, and simplify algebraic expressions; use unit analysis in conversions. Apply order of operations to numeric expressions with absolute value, exponents, and perfect squares Write, evaluate and simplify algebraic expressions Convert between different measurements using unit analysis Students will solve one variable inequalities and absolute value equations, and apply these to solve real world problems. Students will rearrange formulas. Use the properties of real numbers to solve inequalities and absolute value equations in one variable Use the properties of real numbers to rearrange formulas Apply linear functions to real world problems Students will interpret functions, identify domain and range; write linear equations; write and graph linear inequalities; write and graph the line of best fit using technology; and apply these skills to solve real world problems. Identify domain and range; determine if the relation is a function; find the value of a function represented in function notation Write the equation of a line, given: slope and y-intercept, graph, slope and the coordinates of a point on the line, two points and apply to real world problems Write and graph linear inequalities on a coordinate plane, and apply to real world problems Apply linear regression to data using technology; interpret slope and y– intercept to solve real world problems A-SSE A-SSE.1,2, 3 N-Q.1 A-REI.3 A-CED.4 A-CED.1,2; F-BF.1 F-IF.1,2 A-CED.1,2; F-BF.1 A-REI.12; F-BF.1 S-ID.6,9 Components Unit Outcome MA.Alg1.4 MA.Alg1.4.1 MA.Alg1.4.2 MA.Alg1.4.3 MA.Alg1.4.4 Students will solve, explain and apply linear systems and linear inequality systems to real world situations. Explain the meaning of the solution/s to the system Solve linear systems through graphing, substitution and elimination Solve linear inequality systems by graphing Apply systems of linear equations and systems of linear inequalities to the real world A-CED.3 A-REI.6,7 A-REI.12 A-CED.3 Semester 2 Unit Outcome MA.Alg1.5 MA.Alg1.5.1 MA.Alg1.5.2 MA.Alg1.5.3 Components Unit Outcome MA.Alg1.6 MA.Alg1.6.1 MA.Alg1.6.2 MA.Alg1.6.3 Components Unit Outcome MA.Alg1.7 MA.Alg1.7.1 MA.Alg1.7.2 MA.Alg1.7.3 MA.Alg1.7.4 Components Unit Outcome MA.Alg1.8 MA.Alg1.8.1 Students will interpret data, define and use the probability rules to solve real world reasoning problems. Use sets, subsets, empty sets and complements through set notation; use diagrams to organize and represent unions and intersection Use the Fundamental Counting Principle, permutations, and combinations to solve real world problems Solve independent, dependent, and compound (mutually exclusive and non-mutually exclusive) probabilities Students will simplify expressions with exponents; graph and apply exponential functions to real world situations. Use properties of exponents (positive, negative, zero, etc.) to simplify expressions Graph exponential growth and decay functions Apply exponential growth and decay models to real life situations S-CP.1 S-CP.9 C-CP.2,6,7,8 A-SSE.3c F-LE.1 F-LE.1 Students will classify, add, subtract, multiply, and factor polynomials. Classify polynomials and name parts of it Add and subtract polynomials Multiply polynomials using distribution, FOIL, binomial by trinomial, and special products Factor polynomials using GCF, difference of squares, trinomials A-SSE.1 A-APR.1 A-APR.1 A-SSE.3a Students will simplify, add, subtract, multiply, divide and rationalize numeric and algebraic square roots. Simplify irrational numbers and algebraic expressions N-RN.3 MA.Alg1.8.2 Add and subtract irrational numbers N-RN.3 MA.Alg1.8.3 Multiply and divide irrational numbers N-RN.3 Components Unit Outcome MA.Alg1.9 MA.Alg1.9.1 MA.Alg1.9.2 MA.Alg1.9.3 Students will graph, solve equations and apply quadratic functions to real world situations. Graph quadratic functions using a table of values, label the key features: vertex, axis of symmetry, direction of opening Solve quadratic equations by extracting square roots, using the Quadratic formula, factoring (zero – product property), and graphing Apply quadratic functions to real life situations F-IF.4, F-IF.7a A-REI.4
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