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REEF-SUNSET UNIFIED SCHOOL DISTRICT 2012-2013 Algebra 1 Pacing Schedule Grade _8-9___ Semester __1__ Date of Benchmark Assessment: Oct. 10-14 Assessment To Be Used: Algebra 1 Benchmark 1 Test Vocabulary: Listed below under Academic Vocabulary. Focus Essential Standards and Test Questions that Assess Standards: Algebra 1: 2.0, 3.0, 4.0, 5.0 Instructional Period 8/17-10/14 (40 days) Essential Standards Alg 2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking root, and raising to a fractional power. They understand and use the rules of exponents. Alg 3.0 Students solve equations and inequalities involving absolute value. Assessments Content Specific: Entry Level Assessment Ch, 1 Check Point Quiz # 1 Ch, 1 Check Point Quiz # 2 Ch. 1 Test Alg 4.0 Students simplify expression before solving linear equations and inequalities in one variable, such as 3(2X—5) + 4(X—2) = 12 Alg 5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. Academic Vocabulary Ch, 2 Check Point Quiz # 1 Ch, 2 Check Point Quiz # 2 Ch. 2 Test Chapter 1 Absolute Value Additive Inverse Algebraic Expression Counter Example Deductive Reasoning Distributive Property Equations Exponent Inequality Integers Multiplicative Inverse Opposites Order of Operations Real Numbers Reciprocal Chapter 2 Addition Property of Equality Consecutive Integers Cross Product Division Property of Equality Equivalent Equation Identity Curriculum and Resources Chapter 1 (13 days) 1-1 Using Variables 1-2 Exponents and Order of Operations 1-3 Exploring Real Numbers 1-4 Adding Real Numbers Resources for EL and Academic Support Chapter 1 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review 1-5 Subtracting Real Numbers 1-6 Multiplying and Dividing Real Numbers 1-7 Distributive Property 1-8 Properties of Numbers Chapter 2 (13 days) 2-1 Solving Two-Step Equations 2-2 Solving Multi-Step Equations 2-3 Equations with a Variable on Both Side 2-4 Ratio and Proportions Chapter 2 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review REEF-SUNSET UNIFIED SCHOOL DISTRICT 2011-2012 Algebra 1 Pacing Schedule Grade __8-9__ Semester __1__ Date of Benchmark Assessment: Oct. 10-14 Assessment To Be Used: Algebra 1 Benchmark 1 Test Vocabulary: Listed below under Academic Vocabulary. Focus Essential Standards and Test Questions that Assess Standards: Algebra 1: 2.0, 3.0, 4.0, 5.0 Instructional Period 8/17-10/14 (40 days) Essential Standards Assessments Academic Vocabulary Inverse Operations Multiplication Property of Equality Proportion Rate Set Solution of an Equation Subset Subtraction Property of Equality See previous page. Ch, 3 Check Point Quiz # 1 Ch, 3 Check Point Quiz # 2 Ch. 3 Test Chapter 3 Compound Inequality Equivalent Inequality Solution of Inequality Academic Vocabulary: Curriculum and Resources Chapter 3 (13 days) 3-1 Inequalities and Their Graphs 3-2 Solving Inequalities using Addition and Subtraction 3-3 Solving Inequalities using Multiplication and Division Explain Define Describe 3-4 Solving Multi-Step Inequalities Uniform Motion 3-5 Compound Inequalities 3-6 Absolute Value Equations and Inequalities Resources for EL and Academic Support Chapter 3 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review Vocabulary and Study Skills REEF-SUNSET UNIFIED SCHOOL DISTRICT 2011-2012 Algebra 1 Pacing Schedule Grade __8-9__ Semester _1__ Date of Benchmark Assessment: Dec. 12-16 Assessment To Be Used: Algebra 1 Benchmark 2 Test Vocabulary: Listed below under Academic Vocabulary Focus Essential Standards and Test Questions that Assess Standards: Algebra 1: 6.0, 7.0, 9.0 Instructional Period 10/17-12-16 ( 35 days) Essential Standards Alg 6.0 Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4). Assessments Academic Vocabulary Content Specific: Ch, 4 Check Point Quiz # 1 Ch, 4 Check Point Quiz # 2 Ch. 4 Test Alg 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the pointslope formula. Chapter 4 Constant of Variation for direct variation Constant of Variation for indirect variation Dependent Variable Direct Variation Domain Fraction Function Notation Independent Variable Inductive Reasoning Inverse Variation Range Relation Vertical-line Test Curriculum and Resources Chapter 4 (13 days) 4-1Graping on the Coordinate Plane 4-2 Relations and Functions 4-3 Functions rules, tables and graphs 4-4 Writing a Function Rule Chapter 5 Linear Equation Linear Function Linear Parent Function Negative Reciprocal Parallel Line Parent Function Perpendicular Line Point-Slope Form Rate of Change Slope Chapter 4 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review Vocabulary and Study Skills Chapter 5 (13 days) 5-1 Rate of Change and Slope 5-2 Slope Intercept Form 5-3 Standard Form Ch, 5 Check Point Quiz # 1 Ch, 5 Check Point Quiz # 2 Ch. 5 Test Resources for EL and Academic Support 5-4 Point Slope Form and writing linear equations 5-5 Parallel and Perpendicular lines Chapter 5 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review Vocabulary and Study Skills REEF-SUNSET UNIFIED SCHOOL DISTRICT 2011-2012 Algebra 1 Pacing Schedule Grade __8-9__ Semester __1__ Date of Benchmark Assessment: Dec. 12-16 Assessment To Be Used: Algebra 1 Benchmark 2 Test Vocabulary: Listed below under Academic Vocabulary Focus Essential Standards and Test Questions that Assess Standards: Algebra 1: 6.0, 7.0, 9.0 Instructional Period 10/17-12/16 ( 40 days) Essential Standards Alg 9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets. Assessments Academic Vocabulary Curriculum and Resources Resources for EL and Academic Support Slope-Intercept Form Standard Form X-intercept Y-intercept Ch, 6 Check Point Quiz # 1 Ch, 6 Check Point Quiz # 2 Ch. 6 Test Chapter 6 Elimination Method Infinitely Many Solutions Linear Inequalities No Solution Solution of a System Solution of a System of Linear Inequalities Solution Set Substitution Method System of Linear Equations System of Linear Inequalities Chapter 6 (13 days) 6-1 Solving Systems by Graphing 6-2 Solving Systems Using Substitution 6-3 Solving Systems Using Elimination 6-4 Applications of Linear Systems 6-5 Linear Inequalities 6-6 Systems of Linear Inequalities Academic Vocabulary: Eliminate Substitute Chapter 6 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review Vocabulary and Study Skills REEF-SUNSET UNIFIED SCHOOL DISTRICT 2011-2012 Algebra 1 Pacing Schedule Grade __8-9__ Semester __2__ Date of Benchmark Assessment: March 12-16 Assessment To Be Used: Algebra 1 Benchmark 3 Test Vocabulary: Listed below under Academic Vocabulary Focus Essential Standards and Test Questions that Assess Standards: Algebra 1: 2.0, 10.0, 11.0, 14.0, 19.0, 21.0, 23.0 Instructional Period 1/9-3/16 (46 days) Essential Standards Alg 2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. Assessments Academic Vocabulary Resources for EL and Academic Support Content Specific: Ch. 7 Check Point Quiz # 1 Ch. 7 Check Point Quiz # 2 Ch. 7 Test Chapter 7 Scientific Notation Chapter 7 (13 Days) 7-1 Zero and Negative Exponents 7-2 Scientific Notation 7-3 Multiplication Properties of Exponents Alg 10.0 Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques. Alg 11.0 Students apply basic factoring techniques to second- and simple thirddegree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials. Curriculum and Resources 7-4 More Multiplication Properties of Exponents Chapter 7 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review Vocabulary and Study Skills 7-5 Division Properties of Exponents Ch. 8 Check Point Quiz # 1 Ch. 8 Check Point Quiz # 2 Ch. 8 Test Chapter 8 Binomial Degree of Monomial Degree of a Polynomial Difference of Squares Factoring by Grouping Monomials Perfect Square Trinomial Polynomial Standard Form of Polynomials Trinomial Chapter 8 (13 days) 8-1 Adding and Subtracting Polynomials 8-2 Multiplying and Factoring 8-3 Multiplying Binomials 8-4 Multiplying Special Cases 8-5 Factoring Trinomials of the type x² + bx + c Chapter 8 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review Vocabulary and Study Skills REEF-SUNSET UNIFIED SCHOOL DISTRICT 2011-2012 Algebra 1 Pacing Schedule Grade _8-9___ Semester __2__ Date of Benchmark Assessment: March 12-16 Assessment To Be Used: Algebra 1 Benchmark 3 Test Vocabulary: Listed below under Academic Vocabulary Focus Essential Standards and Test Questions that Assess Standards: Algebra 1: 2.0, 10, 11.0, 14.0, 19.0, 21.0, 23.0 Instructional Period 1/9-3/16 (46 days) Essential Standards Assessments Academic Vocabulary Alg 14.0 Students solve a quadratic equation by factoring or completing the square. Alg 19.0 Students know the quadratic formula and are familiar with its proof by completing the square. Alg 21.0 graph quadratic functions and know that their roots are the x-intercepts. Alg 23.0 Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity. Curriculum and Resources Resources for EL and Academic Support 8-7 Factoring Trinomials of the type x² + bx + c 8-8 Factoring by Grouping Ch. 9 Check Point Quiz # 1 Ch. 9 Check Point Quiz # 2 Ch. 9 Test Chapter 9 Axis of Symmetry Completing the Square Discriminant Maximum Minimum Parabola Quadratic Equation Quadratic Formula Quadratic Function Radicand Root of the Equation Square Root Vertex Zero-Product Property Zeros of the Function Chapter 9 (14 days) 9-1 Exploring Quadratic Graphs 9-2 Quadratic Functions 9-3 Finding and Estimating Square Roots 9-4 Solving Quadratic Equations 9-5 Factoring to solve Quadratic Equations 9-6 Completing the Square 9-7 Using the Quadratic Formula 9-8 Using the Discriminant Chapter 9 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review Vocabulary and Study Skills REEF-SUNSET UNIFIED SCHOOL DISTRICT 2011-2012 Algebra 1 Pacing Schedule Grade __8-9__ Semester __2__ Date of Benchmark Assessment: May 21-24 Assessment To Be Used: Algebra 1 Benchmark 4 Test Vocabulary: Academic Vocabulary Located Below Focus Essential Standards and Test Questions that Assess Standards: Alg 2.0, 10.0, 12.0, 13.0, 15.0 Instructional Period 3/19-5/4 (29days) Essential Standards Assessments Alg 2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. Ch. 10 Check Point Quiz # 1 Ch. 10 Check Point Quiz #21 Ch. 10 Test Alg 10.0 Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques. Alg 12.0 Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms. Academic Vocabulary Content Specific: Curriculum and Resources Chapter 10 (11 days) 10-1 Simplifying Radicals Chapter 10 Conjugates Extraneous Solution Hypotenuse Leg Like Radicals Pythagorean Theorem Radical Equations Radical Expression Rationalize Square Root Unlike Radicals 10-2 The Pythagorean Theorem 10-3 Operations with Radical Expressions 10-4 Solving Radical Equations 10-5 Graphing Square Root Functions Resources for EL and Academic Support Chapter 10 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review Vocabulary and Study Skills REEF-SUNSET UNIFIED SCHOOL DISTRICT 2011-2012 Algebra 1 Pacing Schedule Grade __8-9__ Semester __2__ Date of Benchmark Assessment: May 21-24 Assessment To Be Used: Algebra I Benchmark 4 Test Vocabulary: Academic Vocabulary Located Below Focus Essential Standards and Test Questions that Assess Standards: Alg 2.0, 10.0, 12.0, 13.0, 15.0 Instructio nal Period 3/19-5/4 (29days) Essential Standards Alg 13.0 Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems by using these techniques. Assessments Ch. 11 Check Point Quiz # 1 Ch. 11 Check Point Quiz # 2 Ch. 11 Test Academic Vocabulary Chapter 11 Rational Equation Rational Expression Curriculum and Resources Chapter 11 (8 days) 11-1 Simplifying Rational Expressions 11-2 Multiplying and Dividing Rational Expressions 11-3 Dividing Polynomials Alg 15.0 Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems. 11-4 Adding and Subtracting Rational Expression 11-5 Solving Rational Equations Ch. 2 Check Point Quiz #1 Chapter 2 2-5 Equations and Problem Solving 2-6 Mixture Problems Ch. 4 Check Point Quiz #1 Chapter 4 4-5 Direct Variation 4-6 Inverse Variation 4-7 Inductive and Deductive Reasoning. Resources for EL and Academic Support Chapter 11 Daily Note Taking Guide Chapter Graphic Organizer Adapted Practice Guided Problem Solving Cumulative Review Vocabulary and Study Skills