GATEWAY REGIONAL HIGH SCHOOL

ALGEBRA I

PACING GUIDE

PURPOSE STATEMENT/PHILOSOPHY

The Algebra I curriculum is comprised of the following major concepts or ‘Big Ideas’:  (1) tools of algebra; (2) equations and inequalities; (3) rational and irrational numbers;  (4) polynomials;  (5) functional and relations; and (6) linear systems (7) exponential functions.  While knowledge of content is being developed students are engaged in hands-on and cooperative activities that encourage mathematical reasoning, problem solving, communicating and making connections. Through these activities students utilize technology such as graphing calculators, computers, and calculator-based lab equipment. In addition they are encouraged to think more critically through activities that involve investigations, explorations, and discovery. Finally, evaluation appears in several formats: tests, performance tasks, and long- and short-term projects.

PACING GUIDE

 GATEWAY GROUP CURRICULUM UNIT PLAN Content Area:  Mathematics Unit Title: Number, Operations, and Expressions Timeframe: 6 Days Lesson Components UNIT SUMMARY A summary of what the unit will contain and the learning students will be engaged in. Students will be able to classify numbers in the real number system.Students will be able to identify and combine like terms.Students will be able to evaluate an expression for given values.Students will be able to put terms in order by the degree of a variable. LEARNING TARGETS ESSENTIAL QUESTION:What are the basic skills needed for Algebra I? ENDURING UNDERSTANDINGS What are irrational numbers?What are like terms and how to combine them.Using substitution to evaluate an expression for a value.

 Technology Standards: (See Pacing Guide for Specific Integration) Career Ready Practices:(See Pacing Guide for Specific Integration) Standard 8.1 Educational Technology:  All students will use digital tools to access manage, evaluate, and synthesize information in order to solve problems individually and collaborate and to create and communicate knowledge.A. Technology Operations and Concepts: Students demonstrate a sound understanding of technology concepts, systems and operations.8.1.8.A.2  Create a document (e.g. newsletter, reports, personalized learning plan, business letters or flyers) using one or more digital applications to be critiqued by professionals for usability.B. Creativity and Innovation: Students demonstrate creative thinking, construct knowledge and develop innovative products and process using technology.8.1.8.B.1 Synthesize and publish information about a local or global issue or event (ex. telecollaborative project, blog, school web).D. Digital Citizenship: Students understand human, cultural, and societal issues related to technology and practice legal and ethical behavior.8.1.8.D.1 Understand and model appropriate online behaviors related to cyber safety, cyber bullying, cyber security, and cyber ethics including appropriate use of social media.8.1.8.D.2 Demonstrate the application of appropriate citations to digital content.8.1.8.D.3 Demonstrate an understanding of fair use and Creative Commons to intellectual property.8.1.8.D.4 Assess the credibility and accuracy of digital content.8.1.8.D.5 Understand appropriate uses for social media and the negative consequences of misuse.E: Research and Information Fluency: Students apply digital tools to gather, evaluate, and use information.8.1.8.E.1 Effectively use a variety of search tools and filters in professional public databases to find information to solve a real world problem. CRP2. Apply appropriate academic and technical skills. CRP4. Communicate clearly and effectively and with reason. CRP6. Demonstrate creativity and innovation. CRP7. Employ valid and reliable research strategies. CRP8. Utilize critical thinking to make sense of problems and persevere in solving them. CRP11. Use technology to enhance productivity. CRP12. Work productively in teams while using cultural global competence.

 GATEWAY GROUP CURRICULUM UNIT PLAN Content Area:  Mathematics Unit Title: Equations and Inequalities Timeframe: 32 Days Lesson Components UNIT SUMMARY A summary of what the unit will contain and the learning students will be engaged in. Students will be able to solve equations that contain the same variable on both sides.Students will be able transform a formula to a different form of that equation.Students will be able to find the value of unknown quantities using Literal Equations and Substitution. Students will be able to classify numbers in the real number system.Students will be able to identify and combine like terms.Students will be able to evaluate an expression for given values.Students will be able to put terms in order by the degree of a variable.Students will be able to write an inequality.Students will be able to solve one-step inequalities.Students will be able to solve two-step and multiple step inequalities.Students will be able to graph a single inequality on a number line.Students will be able to solve compound inequalities and graph them on a number line. LEARNING TARGETS ESSENTIAL QUESTIONSHow do we represent unknown quantities?How can the value of an unknown variable be How can related values that are not equivalent be represented?How do we solve for a variable in an inequality? ENDURING UNDERSTANDINGS How to solve an equation in one variable.How can an equation be solved for a variable in the equation.The vocabulary associated with inequalities.Steps used to solve inequalities.The difference between and & or statements.

 Technology Standards: (See Pacing Guide for Specific Integration) Career Ready Practices:(See Pacing Guide for Specific Integration) Standard 8.1 Educational Technology:  All students will use digital tools to access manage, evaluate, and synthesize information in order to solve problems individually and collaborate and to create and communicate knowledge.A. Technology Operations and Concepts: Students demonstrate a sound understanding of technology concepts, systems and operations.8.1.8.A.2  Create a document (e.g. newsletter, reports, personalized learning plan, business letters or flyers) using one or more digital applications to be critiqued by professionals for usability.B. Creativity and Innovation: Students demonstrate creative thinking, construct knowledge and develop innovative products and process using technology.8.1.8.B.1 Synthesize and publish information about a local or global issue or event (ex. telecollaborative project, blog, school web).D. Digital Citizenship: Students understand human, cultural, and societal issues related to technology and practice legal and ethical behavior.8.1.8.D.1 Understand and model appropriate online behaviors related to cyber safety, cyber bullying, cyber security, and cyber ethics including appropriate use of social media.8.1.8.D.2 Demonstrate the application of appropriate citations to digital content.8.1.8.D.3 Demonstrate an understanding of fair use and Creative Commons to intellectual property.8.1.8.D.4 Assess the credibility and accuracy of digital content.8.1.8.D.5 Understand appropriate uses for social media and the negative consequences of misuse.E: Research and Information Fluency: Students apply digital tools to gather, evaluate, and use information.8.1.8.E.1 Effectively use a variety of search tools and filters in professional public databases to find information to solve a real world problem. CRP2. Apply appropriate academic and technical skills. CRP4. Communicate clearly and effectively and with reason. CRP6. Demonstrate creativity and innovation. CRP7. Employ valid and reliable research strategies. CRP8. Utilize critical thinking to make sense of problems and persevere in solving them. CRP11. Use technology to enhance productivity. CRP12. Work productively in teams while using cultural global competence.

 GATEWAY GROUP CURRICULUM UNIT PLAN Content Area:  Mathematics Unit Title: Functions Timeframe: 22 Days Lesson Components UNIT SUMMARY A summary of what the unit will contain and the learning students will be engaged in. Students will be able to define a function and identify its domain and range.Students will be able to evaluate functions.Students will be able to write recursive and explicit formulas.Students will be able to compare the rate of change of multiple representations of functions.Students will be able to write a linear function after a given transformation.Students will be able to determine the transformation(s) that occur between 2 linear functions. LEARNING TARGETS ESSENTIAL QUESTIONSHow do you use a formula to identify the terms of a sequence? What are the multiple ways a function can be represented?How do you write a linear function after a given transformation? ENDURING UNDERSTANDINGS The definition of a function.The difference between the domain and range.Know how to evaluate functions.How to generate explicit and recursive formulas.Know how to find the rate of change.

 Technology Standards: (See Pacing Guide for Specific Integration) Career Ready Practices:(See Pacing Guide for Specific Integration) Standard 8.1 Educational Technology:  All students will use digital tools to access manage, evaluate, and synthesize information in order to solve problems individually and collaborate and to create and communicate knowledge.A. Technology Operations and Concepts: Students demonstrate a sound understanding of technology concepts, systems and operations.8.1.8.A.2  Create a document (e.g. newsletter, reports, personalized learning plan, business letters or flyers) using one or more digital applications to be critiqued by professionals for usability.B. Creativity and Innovation: Students demonstrate creative thinking, construct knowledge and develop innovative products and process using technology.8.1.8.B.1 Synthesize and publish information about a local or global issue or event (ex. telecollaborative project, blog, school web).D. Digital Citizenship: Students understand human, cultural, and societal issues related to technology and practice legal and ethical behavior.8.1.8.D.1 Understand and model appropriate online behaviors related to cyber safety, cyber bullying, cyber security, and cyber ethics including appropriate use of social media.8.1.8.D.2 Demonstrate the application of appropriate citations to digital content.8.1.8.D.3 Demonstrate an understanding of fair use and Creative Commons to intellectual property.8.1.8.D.4 Assess the credibility and accuracy of digital content.8.1.8.D.5 Understand appropriate uses for social media and the negative consequences of misuse.E: Research and Information Fluency: Students apply digital tools to gather, evaluate, and use information.8.1.8.E.1 Effectively use a variety of search tools and filters in professional public databases to find information to solve a real world problem. CRP2. Apply appropriate academic and technical skills. CRP4. Communicate clearly and effectively and with reason. CRP6. Demonstrate creativity and innovation. CRP7. Employ valid and reliable research strategies. CRP8. Utilize critical thinking to make sense of problems and persevere in solving them. CRP11. Use technology to enhance productivity. CRP12. Work productively in teams while using cultural global competence.

 GATEWAY GROUP CURRICULUM UNIT PLAN Content Area:  Mathematics Unit Title: Systems of Equations and Inequalities Timeframe: 20 Days Lesson Components UNIT SUMMARY A summary of what the unit will contain and the learning students will be engaged in. Students will be able to graph systems of linear equations to find a solution.Students will be able to solve a system of equations by using substitution and elimination.Students will be able to graph systems of linear inequalities to find a solution.Students will be able to solve a system of inequalities by using substitution and elimination.Students will be able to translate real world problem into a system. LEARNING TARGETS ESSENTIAL QUESTIONSHow can real world situations be modeled by systems?  How can solutions be found to a system? ENDURING UNDERSTANDINGS The point at which lines intersect is the solution to the system with those lines.The area at which shading intersect is the solution to the system of those inequalities.

 Technology Standards: (See Pacing Guide for Specific Integration) Career Ready Practices:(See Pacing Guide for Specific Integration) Standard 8.1 Educational Technology:  All students will use digital tools to access manage, evaluate, and synthesize information in order to solve problems individually and collaborate and to create and communicate knowledge.A. Technology Operations and Concepts: Students demonstrate a sound understanding of technology concepts, systems and operations.8.1.8.A.2  Create a document (e.g. newsletter, reports, personalized learning plan, business letters or flyers) using one or more digital applications to be critiqued by professionals for usability.B. Creativity and Innovation: Students demonstrate creative thinking, construct knowledge and develop innovative products and process using technology.8.1.8.B.1 Synthesize and publish information about a local or global issue or event (ex. telecollaborative project, blog, school web).D. Digital Citizenship: Students understand human, cultural, and societal issues related to technology and practice legal and ethical behavior.8.1.8.D.1 Understand and model appropriate online behaviors related to cyber safety, cyber bullying, cyber security, and cyber ethics including appropriate use of social media.8.1.8.D.2 Demonstrate the application of appropriate citations to digital content.8.1.8.D.3 Demonstrate an understanding of fair use and Creative Commons to intellectual property.8.1.8.D.4 Assess the credibility and accuracy of digital content.8.1.8.D.5 Understand appropriate uses for social media and the negative consequences of misuse.E: Research and Information Fluency: Students apply digital tools to gather, evaluate, and use information.8.1.8.E.1 Effectively use a variety of search tools and filters in professional public databases to find information to solve a real world problem. CRP2. Apply appropriate academic and technical skills. CRP4. Communicate clearly and effectively and with reason. CRP6. Demonstrate creativity and innovation. CRP7. Employ valid and reliable research strategies. CRP8. Utilize critical thinking to make sense of problems and persevere in solving them. CRP11. Use technology to enhance productivity. CRP12. Work productively in teams while using cultural global competence.

 GATEWAY GROUP CURRICULUM UNIT PLAN Content Area:  Mathematics Unit Title: Polynomials Timeframe: 14 Days Lesson Components UNIT SUMMARY A summary of what the unit will contain and the learning students will be engaged in. Students will be able to describe and identify monomials, polynomials, and degrees.Students will be able to add and subtract polynomials.Students will be able to multiply a polynomial by a monomial.Students will be able to multiply two polynomials.Students will be able to recognize and factor monomials out of a polynomial.Students will be able to factor trinomials.Students will be able to factor a polynomial with 4 terms using the grouping method. LEARNING TARGETS ESSENTIAL QUESTIONSHow can factoring help to simplify a polynomial? ENDURING UNDERSTANDINGS To add or subtract polynomials, only like terms can be combined.To multiply polynomials, each term of the terms of one polynomial is multiplied to each term of the second polynomial.Factoring is another way of rewriting a polynomial.

 Technology Standards: (See Pacing Guide for Specific Integration) Career Ready Practices:(See Pacing Guide for Specific Integration) Standard 8.1 Educational Technology:  All students will use digital tools to access manage, evaluate, and synthesize information in order to solve problems individually and collaborate and to create and communicate knowledge.A. Technology Operations and Concepts: Students demonstrate a sound understanding of technology concepts, systems and operations.8.1.8.A.2  Create a document (e.g. newsletter, reports, personalized learning plan, business letters or flyers) using one or more digital applications to be critiqued by professionals for usability.B. Creativity and Innovation: Students demonstrate creative thinking, construct knowledge and develop innovative products and process using technology.8.1.8.B.1 Synthesize and publish information about a local or global issue or event (ex. telecollaborative project, blog, school web).D. Digital Citizenship: Students understand human, cultural, and societal issues related to technology and practice legal and ethical behavior.8.1.8.D.1 Understand and model appropriate online behaviors related to cyber safety, cyber bullying, cyber security, and cyber ethics including appropriate use of social media.8.1.8.D.2 Demonstrate the application of appropriate citations to digital content.8.1.8.D.3 Demonstrate an understanding of fair use and Creative Commons to intellectual property.8.1.8.D.4 Assess the credibility and accuracy of digital content.8.1.8.D.5 Understand appropriate uses for social media and the negative consequences of misuse.E: Research and Information Fluency: Students apply digital tools to gather, evaluate, and use information.8.1.8.E.1 Effectively use a variety of search tools and filters in professional public databases to find information to solve a real world problem. CRP2. Apply appropriate academic and technical skills. CRP4. Communicate clearly and effectively and with reason. CRP6. Demonstrate creativity and innovation. CRP7. Employ valid and reliable research strategies. CRP8. Utilize critical thinking to make sense of problems and persevere in solving them. CRP11. Use technology to enhance productivity. CRP12. Work productively in teams while using cultural global competence.