Abbottlawrenceacademy



Abbott Lawrence Academy 2019-2020 Curriculum Map:Year at a GlanceSubject: Advanced Honors Algebra IGrade: 9th Unit TitleTime AllocationEssential QuestionsCore Text and Supplemental LearningsPerformance Tasks1.Mathematical Modeling 7 weeksHow can you represent patterns from everyday life by using tables, expressions, and graphs?How are equations modeled in real world scenarios?How are inequalities modeled in real world scenarios?Why might we want to rearrange a formula first before plugging numbers in and solving? What properties are used to help solve equations?How do we use visual aids, such as number lines and algebraic tiles, to help us solve equations and inequalities? How do we use evidence to support our mathematical reasoning?What can we learn from critiquing others’ work?How can we use mathematics and technology to help us model and better understand phenomena in the world? CME Project – Algebra IEngage NY – Algebra I Edmodo: Virtual ClassroomDesmos Graphing CalculatorKuta Software – Algebra ISupplemental Material- Announced Quizzes: All announced quizzes will consist of multiple choice questions (including multi-select and multi-part), sample MCAS and SAT questions, short answer, and open response questions. Emphasis will be placed on application of material, rather than just calculations.Quiz #1: Patterns and Arithmetic SequencesQuiz #2: Quadratic and Geometric SequencesQuiz #3: Direct and Inverse Variation; Literal EquationsQuiz #4: Solving Multi-Step Equations-Unit 1 Projects: Throughout the unit, students will engage in multiple projects that extend their understanding of the concepts taught in this unit. These projects will ask students to display their understanding of concepts in alternate modalities including creative displays, presentations, and written activities. Saving for College Project: Students will explore the realities of college tuition. In doing this, they will choose five colleges (with guidance) that they are interested in exploring. They will then find a part-time job in the Lawrence area to see how many hours they would need to work to afford the first two years of college (including room and board, and fees) with no scholarship, 25% scholarship, 50% scholarship, 75% scholarship, and 100% tuition scholarship. This will help them get exposure to writing equations and inequalities (as well as literal ones) -Unit 1 Performance Assessment: Spring Constant Lab – Students will explore direct and inverse variation using a variety of spring constants. They will write a formal lab report that discusses the relationship between these two variables. -Other Assessments: Binder Checks, Math Journal Entries, Vocabulary and Concept Index Cards, Homework, Classwork, Exit Tickets, Jigsaws, Student Observations, Student Interviews 2.Statistics7 weeksHow do we use data to model real world scenarios? How do we determine if the data provided fits a normal distribution? How do we determine which measure of center is most appropriate to describe a data set? Why are residuals important? What do residuals tell us about a data set? How do sampling methods affect the evaluation of survey results?How can graphical displays be used to interpret and disseminate the results of surveys?How do you determine if a conclusion from a data set is actually “fake news?” How do we use evidence to support our mathematical reasoning?What can we learn from critiquing others’ work?How can we use mathematics and technology to help us model and better understand phenomena in the world? CME Project – Algebra IEngage NY – Algebra I Edmodo: Virtual ClassroomDesmos Graphing CalculatorKuta Software – Algebra ISupplemental Material-Announced Quizzes: All announced quizzes will consist of multiple choice questions (including multi-select and multi-part), sample MCAS and SAT questions, short answer, and open response questions. Emphasis will be placed on application of material, rather than just calculations.Quiz #1: Types of Bias and Sampling MethodsQuiz #2: Univariate DataQuiz #3: Bivariate Data -Unit 2 Project: Throughout the unit, students will engage in the following mini-projects that extend their understanding of the concepts taught in this unit.? These projects will ask students to display their understanding of concepts in alternate modalities including creative displays, presentations, and written activities.??Graphs in the News Project - Students will be required to find three graphs in the news (online or print).? They will analyze the features of the graphs using correct mathematical vocabulary.?Election Polling Paper - Students will analyze election poll results for margin of error and bias.? They will then write a response to the poll critiquing the validity of the results.??-Unit 2 Performance Assessment: Students will create their own survey and administer it to their peers.? The survey will ask students to identify possible correlation between two variables.? They will create graphical displays and write an analysis using the C-E-R framework to describe their findings. -Other Assessments: Binder Checks, Math Journal Entries, Vocabulary and Concept Index Cards, Homework, Classwork, Exit Tickets, Jigsaws, Student Observations, Student Interviews 3.Extension of Linear Concepts6 weeksHow can you show mathematical relationships?How are functions useful in real-world settings?How do we determine if a relation is a function?What is function notation and how is it used to model real world scenarios? How do graphing choices affect interpretation of data? How do we use evidence to support our mathematical reasoning?What can we learn from critiquing others’ work?How can we use mathematics and technology to help us model and better understand phenomena in the world? In what scenarios would it be important to have multiple representations of equations and inequalities?What does the point of intersection in a system of equations tell us?How are systems of linear equations and inequalities useful in interpreting real-world scenarios? CME Project – Algebra IEngage NY – Algebra I Edmodo: Virtual ClassroomDesmos Graphing CalculatorKuta Software – Algebra ISupplemental Material-Announced Quizzes: All announced quizzes will consist of multiple choice questions (including multi-select and multi-part), sample MCAS and SAT questions, short answer, and open response questions. Emphasis will be placed on application of material, rather than just calculations.Quiz #1: Function Notation & Linear FunctionsQuiz #2: Systems of Linear Equations-Unit 3 Projects: Throughout the unit, students will engage in multiple mini-projects that extend their understanding of the concepts taught in this unit. These projects will ask students to display their understanding of concepts in alternate modalities including creative displays, presentations, and written activities. Comparing Functions Project: Students will complete a project in which they are given 3 or more linear functions and asked to create a visual display (of their choosing) that compares and contrasts the findings. -Unit 3 Performance Assessment: Students will complete the Buggy Collision Lab, wherein they work collaboratively to write a system of equations that will model the horizontal path of buggies to determine the time at which they collide.? Students will then test and analyze their theoretical findings. -Other Assessments: Binder Checks, Math Journal Entries, Vocabulary and Concept Index Cards, Homework, Classwork, Exit Tickets, Jigsaws, Student Observations, Student Interviews 4.Exponents and Polynomials6 weeksHow do multiplicative patterns model the physical world? How are adding and multiplying expressions different from each other?How do we use exponential functions to model real world scenarios? How are multiplying polynomials and factoring polynomials related? How do you convert between radicals and rational exponents? How is factoring used to simplify a rational expression?How do we use evidence to support our mathematical reasoning?What can we learn from critiquing others’ work?How can we use mathematics and technology to help us model and better understand phenomena in the world? CME Project – Algebra IEngage NY – Algebra I Edmodo: Virtual ClassroomDesmos Graphing CalculatorKuta Software – Algebra ISupplemental Material-Announced Quizzes: All announced quizzes will consist of multiple choice questions (including multi-select and multi-part), sample MCAS and SAT questions, short answer, and open response questions. Emphasis will be placed on application of material, rather than just calculations.Quiz #1: Exponent Properties and Radical ExpressionsQuiz #2: Operations with RadicalsQuiz #3: Graphing Exponential FunctionsQuiz #4: Applications of Exponential Functions-Unit 4 Projects: Throughout the unit, students will engage in multiple mini-projects that extend their understanding of the concepts taught in this unit. These projects will ask students to display their understanding of concepts in alternate modalities including creative displays, presentations, and written activities. Compound Interest Lab - Students will compare different types of interest and the impact they have on consumers over time.? They will analyze car dealerships, mortgage rates, and personal loans to compare and contrast deals.?Saving for College Project - Part 2: What about the loans?? Students will revisit the College Project from Unit 1. For their chosen college, they will calculate the actual amount they will pay if they take out specific loans.?-Unit 4 Performance Assessment: Students will engage in a Bacterial Growth project, wherein they measure the growth of bacteria in a petri dish over time. They will collect and analyze data.? In the data analysis, students will model the growth using tables, graphs, and equations. -Other Assessments: Binder Checks, Math Journal Entries, Vocabulary and Concept Index Cards, Homework, Classwork, Exit Tickets, Jigsaws, Student Observations, Student Interviews 5.Quadratic Functions7 weeksHow are quadratic functions used to model, analyze, and interpret real world scenarios? In what scenarios would it be important to have multiple representations of quadratic functions?How do you determine the best method to use to solve a quadratic equation?What do the y-intercept, x-intercept(s), minimum, and maximum represent in quadratic functions?How do we transform functions from their parent function? How do we use evidence to support our mathematical reasoning?What can we learn from critiquing others’ work?How can we use mathematics and technology to help us model and better understand phenomena in the world? CME Project – Algebra IEngage NY – Algebra I Edmodo: Virtual ClassroomDesmos Graphing CalculatorKuta Software – Algebra ISupplemental Material-Announced Quizzes: All announced quizzes will consist of multiple choice questions (including multi-select and multi-part), sample MCAS and SAT questions, short answer, and open response questions. Emphasis will be placed on application of material, rather than just calculations.Quiz #1: Factoring Quiz #2: Solving Quadratic EquationsQuiz #3: Graphing Quadratic Functions-Unit 5 Projects: Throughout the unit, students will engage in multiple mini-projects that extend their understanding of the concepts taught in this unit. These projects will ask students to display their understanding of concepts in alternate modalities including creative displays, presentations, and written activities. Quadratics Diorama Project - Students will create their own real world scenario in which a quadratic function is utilized.? They will write the scenario and construct a 3D model (to scale) of it. They will then represent the model using an equation and graph and describe the key components of the graph.Multimedia Presentation - In order to wrap-up all algebraic components, students will create a multimedia presentation of their choosing to synthesize factoring, operations with polynomials, and exponents. This will be a project that spans Units 4 and 5. -Unit 5 Performance Assessment: Students will engage in the Stomp Rocket Lab, wherein they will launch a stomp rocket and analyze the rocket’s vertical path by creating a height vs. time graph, writing an equation, and making explicit connections for quadratics in real world scenarios. -Other Assessments: Binder Checks, Math Journal Entries, Vocabulary and Concept Index Cards, Homework, Classwork, Exit Tickets, Jigsaws, Student Observations, Student Interviews 6. Inequalities and Absolute Value4 weeksHow can solutions to compound inequalities be represented in set notation, interval notation, and on a number line?What does absolute value represent in the real world?How do we solve equations and inequalities involving absolute value? What are characteristics of equations that have zero, one, or infinitely many solutions? CME Project – Algebra IEngage NY – Algebra I Edmodo: Virtual ClassroomDesmos Graphing CalculatorKuta Software – Algebra ISupplemental Material-Announced Quizzes: All announced quizzes will consist of multiple choice questions (including multi-select and multi-part), sample MCAS and SAT questions, short answer, and open response questions. Emphasis will be placed on application of material, rather than just calculations.Quiz #1: Solving Linear Inequalities Quiz #2: Systems of Linear InequalitiesQuiz #3: Absolute Value-Unit 6 Projects: Throughout the unit, students will engage in multiple mini-projects that extend their understanding of the concepts taught in this unit. These projects will ask students to display their understanding of concepts in alternate modalities including creative displays, presentations, and written activities. Book of Inequalities: Students will create a picture book in which they represent different types of inequalities around a given topic. They will self-select a topic (or choose from a provided list) and construct a picture book in which they show a minimum of 5 different ways inequalities are used. -Unit 6 Performance Assessments: Students will complete a distance vs. displacement lab, wherein they explore the concept of absolute value (and informally, area under the curve) as a means of measuring distance traveled and displacement. -Other Assessments: Binder Checks, Math Journal Entries, Vocabulary and Concept Index Cards, Homework, Classwork, Exit Tickets, Jigsaws, Student Observations, Student Interviews ................
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