Georgetown County School District 2013-2014 Grade Level Mathematics Pacing Guide Overview of the Common Core State Standards for Mathematics: For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards must address the problem of a curriculum that is “a mile wide and an inch deep.” These Standards are a substantial answer to that challenge.1 Description and Purpose of the Pacing Guide: A pacing guide is an interval centered description of what teachers teach in various grade levels or courses; the order in which it should be taught, and the allotted time designated to teach the content area. Its purpose is to guarantee that all of the standards are addressed during the academic year. Unit Title Solving Equations and Proportional Reasoning (Chapter 1) Pacing 4 Weeks (3 weeks of teaching; 1 week buffer) Solving Inequalities (Chapter 2) 4 Weeks (3 ½ weeks of teaching; ½ week buffer) Functions, Scatter Plots, and Sequences (Chapter 3) 4 Weeks (3 weeks of teaching; 1 week buffer) 5 Weeks (4 weeks of teaching; 1 week of buffer). 4 Weeks (3 ½ weeks of teaching; ½ week of Linear Functions (Chapter 4) Systems of Linear Equations and Inequalities (Chapter 5) 1 Standard Number(s) – Bold priority RN.3 (before beginning the actual chapter), REI.01, REI.03, REI.04, SSE.1, SSE.1a, SSE.1b, SSE.2, Q.1, Q.2, Q.3 REI.03 +Honors: More in-depth exploration of AND Statements and OR statements - add in truth tables when discussing compound inequalities. IF.1, IF.2, IF.4, IF.5, IF.6, IF.8 CED.1, CED.2, CED.4, ID.6a, ID.6c, BF.3, IF.7, IF.7a, IF.7b, REI.10, IF.9 REI.05, REI.06, REI.11, REI.12 Retrieved from www.corestandards.org, p.3, Introduction: Common Core State Standards for Mathematics. Revised 6/2013 Exponents and Polynomials (Chapter 6) Factoring Polynomials (Chapter 7) Quadratic Functions and Equations (Chapter 8) South Carolina End of Course Exam Review Unit Exponential Functions (Chapter 9) buffer) 5 Weeks (4 ½ weeks of teaching; ½ week of buffer) 3 Weeks (2 ½ weeks teaching; 1 week of buffer) 3 Weeks (2 ½ weeks teaching; 1 week of buffer) 1 Week 1 Week RN.1, RN.2, APR.1 SSE.3, SSE.3a CED.1, CED.2, REI.04, REI.04a, REI.04b, IF.7, IF.7a, IF.8a, IF.9 LE.1c (emphasis on exponential growth and decay), IF.7e Revised 6/2013 Grade Level: Subject: Algebra I Unit Topic: Solving Inequalities 9th (College Prep & Honors) Standard(s): (bold the priority Explanations and Examples: standards) Length of Unit: 4 Weeks REI.03 (A.REI.3 – Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.) Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Concepts:(What students need to know) Skills:(What students need to be able to do) Order of operations (PEMDAS) Model with linear inequalities Blooms / DOK Levels: 3/2 Revised 6/2013 Inequality symbols Apply properties to solve linear 3/1 inequalities Properties of the real number system (associative, Graph solutions to linear inequalities 3/2 commutative, distributive, and Explain solutions of linear inequalities 4/3 identity). as they relate to the context of a Inverse operations given problem Essential Questions: (Open-ended questions that the Corresponding Big Ideas: (Foundational understandings that students need students should be able to answer by the end of the unit) to discovered by the end of the unit) What is an inequality? Obtaining a solution to a linear inequality, regardless of level of complexity and/or difficulty, always involves inverse operations. What is a solution set for a linear inequality? Various real world situations can often be modeled by linear inequalities How can we use linear inequalities to solve real to put them in a context that is easily understood by multiple audiences. world problems? How can models and technology aid in the solving of linear inequalities? Vocabulary: Mathematical Practices: Resources: (Practices in bold are to be emphasized in the unit.) Holt McDougal Algebra 1 Common Core Linear Inequality Edition Solution Set of a 1. Make sense of problems and persevere in solving Linear Inequality KUTA Infinite Algebra I Software them. Carnegie Common Core Algebra I Student Graph of an 2. Reason abstractly and quantitatively. Assignments textbook inequality 3. Construct viable arguments and critique the reasoning Carnegie Common Core Algebra I Student Number line Skills Practice textbook Closed or open circle of others. 4. Model with mathematics. Simple inequality Compound inequality 5. Use appropriate tools strategically. 6. Attend to precision. Compact form 7. Look for and make use of structure. Absolute-value 8. Look for and express regularity in repeated reasoning. inequality AND/OR Statements Assessment for Learning: (How do you know the student has mastered the standards? Include both Pre and Post Assessments) Pre-Assessment: Inequalities Unit Pre-Assessment.docx Revised 6/2013 Post-Assessment: Inequalities End of Inequality End of Unit Assessment with Unit Scoring Assessment Guide.docx Answer Key.pdf Writing & Graphing Inequalities Performance Task.pdf Engaging Learning Experiences Description: (Standards addressed, Blooms/DOK levels, links to rubric, resources, instructional strategies, etc.) Addresses standard REI.03; Blooms level 2/DOK level 1; *see below for rubric; Carnegie Common Core Algebra I Student Skills Practice textbook; students will work individually to complete the task. 30 Minutes Multi-Step Inequalities Performance Task.pdf Addresses standard REI.03; Blooms level 2/DOK level 2; *see below for rubric; Carnegie Common Core Algebra I Student Skills Practice textbook; students will work individually to complete the task. 90 Minutes Compound Inequalities Performance Task.pdf Addresses standard REI.03; Blooms level 3/DOK level 2; *see below for rubric; Carnegie Common Core Algebra I Student Assignments textbook; students will work in pairs to complete the task. 30 Minutes Absolute-Value Inequalities Performance Task.pdf Addresses standard REI.03; Blooms level 3/DOK level 3,*see below for rubric; Carnegie Common Core Algebra I Student Assignments textbook; students will work individually to complete the task. 45 Minutes Inequality Performance Assessment.pdf Addresses standard REI.03; Blooms level 3/DOK level 3; rubric is included in the document; Holt McDougal Algebra 1 Common Core Edition taken from students will work in pairs to complete the task. Task (Problems 1 Suggested Length of Time 30 Minutes & 2) (Problem # 1 – parts a through e). *The following rubric will be used to evaluate performance tasks 1 – 4 in the table above: Performance Task Rubric.docx Revised 6/2013 Grade Level: Subject: Algebra I (College Unit Topic: Factoring Polynomials Ninth grade Prep and Honors) Standard(s): (bold the priority standards) Explanations and Examples: Length of Unit: 3 Weeks A-SSE.3a: Factor a quadratic expression to reveal the zeros of the function it defines. Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Revised 6/2013 Concepts:(What students need to know) Operations on polynomial expressions (addition, subtraction, and multiplication). Laws of exponents. Greatest Common Factor of two integers. Skills:(What students need to be able to do) Blooms / DOK Levels: Choose an appropriate method to 3/2 factor quadratic trinomials completely. Apply the Zero Product Property to 3/1 solve quadratic equations by factoring. Solve real world problems that involve 3/2 Revised 6/2013 quadratic models. Polynomial classifications (degree and number of terms). Essential Questions: (Open-ended questions that the students Corresponding Big Ideas: (Foundational understandings that should be able to answer by the end of the unit) students need to discovered by the end of the unit) How can an understanding of polynomials help in Factoring is an efficient method for finding the solutions to a understanding quadratic functions and equations? quadratic equation or function. What is the difference between a quadratic expression, Many real world situations can be modeled using quadratic equation, and function? expressions, equations, or functions. What are the factors of a quadratic expression, and how do we find them? What are the solutions to a quadratic equation or function, and how do we find them? How can we model real world situations using quadratic expressions, equations, or functions? Vocabulary: Mathematical Practices: Resources: (Practices in bold are to be emphasized in the unit.) Holt McDougal Algebra I Common Quadratic equation Core Edition Quadratic expression 1. Make sense of problems and persevere in solving KUTA Infinite Algebra I Software Quadratic function them. Factors 2. Reason abstractly and quantitatively. Factored form 3. Construct viable arguments and critique the Standard form reasoning of others. Solutions to a quadratic 4. Model with mathematics. equation/function 5. Use appropriate tools strategically. 1. Roots 6. Attend to precision. 2. X-intercepts 7. Look for and make use of structure. 3. Zeros 8. Look for and express regularity in repeated Zero Product Property reasoning. Assessment for Learning: (How do you know the student has mastered the standards? Include both Pre and Post Assessments) Unit Pre-Assessment and Answer Key: Factoring Factoring Polynomials Unit Pre-Assessment Polynomials with Unit Scoring Pre-Assessment Guide.docx Answer Key.pdf Revised 6/2013 Unit Post- Assessment and Answer Key: Factoring Factoring Polynomials Unit Post-Assessment Polynomials Unit withPost-Assessment Scoring Guide.docx Answer Key.pdf Factoring Quadratics Performance Task.pdf Engaging Learning Experiences Description: (Standards addressed, Blooms / DOK Levels, links to rubric, resources, instructional strategies, etc.) Standard A-SSE.3a; Blooms level 2/DOK Level 2, *see rubric below table, Holt McDougal Algebra I Common Core Edition, students will work in pairs to complete this task and will give a brief presentation using the algebra tiles on the SMART Board or document camera. Standard A-SSE.3a; Blooms level 3/DOK Level 2, *see rubric below table, Carnegie Common Core Algebra I Student Assignments Textbook, students will work in pairs to complete this task. 60 minutes Solving Quadratic Equations by Factoring Performance Task.pdf Standard A-SSE.3a; Blooms level 3/DOK Level 2, *see rubric below table, Holt McDougal Algebra I Common Core Edition, students will work in pairs to complete this task. 30 minutes Factoring Polynomials End of Unit Performance Task.pdf Standard A-SSE.3a; Blooms level 3/DOK Level 2, rubric included in document, Holt McDougal Algebra I Common Core Edition, students will work individually to complete this task. Task Factoring Polynomials by GCF Method Performance Task.pdf *Rubric for evaluating performance tasks 1 – 4: Suggested Length of Time 30 minutes 45 minutes Performance Task Rubric.docx Revised 6/2013