Applied Math (270301)应用数学（270301）.doc

Applied Math A Contextual Approach to Algebra 1Course: Applied Math Algebra 1Total Framework Hours up to: 180 HoursCIP Code: 270301Exploratory PreparatoryDate Last Modified: February 12, 2012Career Cluster: Business, Management, Technical Education Cluster Pathway: STEM To duplicate this blank table (for additional units), select the table, select copy, place cursor below the first table, and select paste.COMPONENTS AND ASSESSMENTSPerformance Assessments: Skills DrillHands-on TestingDiagnostic (written) TestingGroup ProjectsProblem SolvingUnit QuizzesPre and Post TestsAlgebra 1 Benchmark Assessments (Washington State)Math EOC for Algebra 1Leadership Alignment: 1.1 The student will analyze, refine, and apply decision-making skills through classroom, family, community, and business and industry (work-related) experiences.1.2 The student will identify and analyze the characteristics of family, community, business, and industry leaders.1.3 The student will demonstrate oral, interpersonal, written, and electronic communication and presentation skills and understands how to apply those skills.1.4 The student will be involved in activities that require applying theory, problem-solving, and using critical and creative thinking skills while understanding outcomes of related decisions.1.5 The student will demonstrate self-advocacy skills by achieving planned, individual goals.1.6 The student will conduct self in a professional manner in practical career applications, organizational forums, and decision-making bodies.2.1 The student will communicate, participate, and advocate effectively in pairs, small groups, teams, and large groups in order to reach common goals.2.2 The student will demonstrate knowledge of conflict resolution and challenge management.2.3 The student will analyze the complex responsibilities of the leader and follower and demonstrate the ability to both lead and follow.2.4 The student will demonstrate skills that assist in understanding and accepting responsibility to family, community, and business and industry.2.5 The student will demonstrate a working knowledge of parliamentary procedure.2.6 The student will use knowledge, build interest, guide and influence decisions, organize efforts, and involve members of a group to assure that a pre-planned group activity is completed.2.7 The student will demonstrate the ability to train others to understand the established rules and expectations, rationale, and consequences and to follow those rules and expectations.2.8 The student will demonstrate the ability to incorporate and utilize the principles of group dynamics in a variety of settings.3.1 The student will analyze the roles and responsibilities of citizenship.3.2 The student will demonstrate social responsibility in family, community, and business and industry.3.3 The student will understand their role, participate in and evaluate community service and service learning activities.3.4 The student will understand the organizational skills necessary to be a successful leader and citizen and practices those skills in real-life.3.5 The student will understand and utilize organizational systems to advocate for issues on the local, state, and international level.3.6 The student will understand the importance of and utilize the components and structure of community based organizations.3.7 The student will participate in the development of a program of work or strategic plan and will work to implement the organizations goals.All these skills can be applied to the FFA, Skills USA, TSA, FBLA, FCCLA, Program and Activities at the high school level.Employability: 1.1 The student will demonstrate the ability to identify, organize, plan and allocate resources. This means that the student is able to demonstrate allocating time, money, materials, space and staff. selects goal-relevant activities, ranks them, allocates time, and prepares and follows schedules.A. TIME uses or prepares budgets, makes forecasts, keeps records, and makes adjustments to meet objectives.B. MONEYC. HUMAN RESOURCES assess s kills and distribute work accordingly, evaluate performances and provide feedback.1.2 The student will demonstrate the ability to acquire and use information in family, community, business and industry settings. This means that the students can acquire and evaluate data, organize and maintain files, interpret and communicate, and use computers to process information.A. Acquire and Evaluate Information.B. Organize and Maintain Information.C. Interpret and Communicate InformationD. Use Computers to Process Information 1.3 The student will demonstrate an understanding of complex interrelationships (systems). This means that the student understands social, organizational, and technological systems; they can monitor and correct performance; and they can design or improve systems. knows how social, organizational, and technological systems work and operates effectively with them.A. Understands Systems:B. Monitors and Corrects Performance: distinguishes trends, predicts impacts on system operations, diagnose deviations in systems performance and corrects malfunctions.C. Improves or Designs Systems: suggests modifications to existing systems and develops new or alternative systems to improve performance.1.4 The students will demonstrate an ability to work with a variety of technologies, identify or solve problems with equipment, including computers and other technology. This means that the student can select equipment and tools, apply technology to specific tasks, and maintain and troubleshoot equipment.A. Selects Technology: chooses procedures, tools or equipment including computers and related technology. Standards and CompetenciesStandard/Unit: Competencies & DescriptionA Contextual Approach to Algebra 1-Volume 1 -Measuring in English and Metric Units (Revision of OLD CORD Unit 3)Unit 3 Objectives: Use the common measurement units for length, area, volume, capacity, and weight in the English system. Use the common measurement units for length, area, volume, capacity, and weight in the metric system. Convert measurement units from one form to another and carry out calculations that involve various measurement units. Read measurements taken with common measuring tools. Use tools to measure quantities and solve problems that involve these measurementsWashington State Standards 2008A1.1.A Select and justify functions and equations to model and solve problems.A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.A1.2.A Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line. A1.2.B Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.A1.2.D Determine whether approximations or exact values of real numbers are appropriate, depending on the context, and justify the selectionA1.3.B Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.A1.6.B Make valid inferences and draw conclusions based on data.(Highlighted means Green Standards for Algebra 1)COMMON CORE STATE STANDARDS N-Q Reason quantitatively and use units to solve problems-Using Ratios and Proportions (Revision of OLD CORD Unit 9)Unit 9 Objectives: Read and interpret ratios. Compare ratios. Recognize and write proportions from given information. Distinguish between direct and indirect relationships. Solve proportions in practical, work related problems.Washington State Standards 2008A1.1.A Select and justify functions and equations to model and solve problems.A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.A1.2.B Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.A1.2.D Determine whether approximations or exact values of real numbers are appropriate, depending on the context, and justify the selection(Highlighted means Green Standards for Algebra 1)COMMON CORE STATE STANDARDSN-RN Extend the properties of exponents to rational exponents; Use properties of rational and irrational numbers-Using Signed Numbers and Vectors (Revision of OLD CORD Unit 11)Unit 11 Objectives: Identify signed numbers. Identify absolute value of signed numbers Combine signed numbers Find the magnitude and direction of a vector Solve problems using signed numbers and vectorWashington State Standards 2008A1.1.A Select and justify functions and equations to model and solve problems.A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.A1.2.A Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line. A1.2.B Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.A1.2.D Determine whether approximations or exact values of real numbers are appropriate, depending on the context, and justify the selection.A1.4.A Write and solve linear equations and inequalities in one variable.A1.6.B Make valid inferences and draw conclusions based on data.(Highlighted means Green Standards for Algebra 1)COMMON CORE STATE STANDARDSN-VM Represent and model with vector quantities-Using Scientific Notation (Revision of OLD CORD Unit 12)Unit 12 Objectives: Write large and small numbers in power-of-ten notation. Read and write numbers in scientific notation Enter numbers written in scientific notation into a calculator and read answers in scientific notation displayed by a calculator. Combine numbers written in scientific notation to solve problems.Washington State Standards 2008A1.1.A Select and justify functions and equations to model and solve problems.A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.A1.1.C Solve problems that can be represented by a system of two linear equations or inequalities.A1.1.D Solve problems that can be represented by quadratic functions and equations.A1.1.E Solve problems that can be represented by exponential functions and equations.A1.2.A Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line. A1.2.B Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.A1.2.C Interpret and use integer exponents and square and cube roots, and apply the laws and properties of exponents to simplify and evaluate exponential expressions. A1.2.D Determine whether approximations or exact values of real numbers are appropriate, depending on the context, and justify the selection.A1.4.A Write and solve linear equations and inequalities in one variableA1.6.A Use and evaluate the accuracy of summary statistics to describe and compare data sets.A1.6.B Make valid inferences and draw conclusions based on data.(Highlighted means Green Standards for Algebra 1)COMMON CORE STATE STANDARDSN-RN Extend the properties of exponents to rational exponents; Use properties of rational and irrational numbers-Solving Problems with Powers and Roots (Revision of OLD CORD Unit 14)Unit 14 Objectives: Read and write numbers expressed as powers. Estimate the values of numbers written as powers. Read and write numbers expressed as roots. Find powers and roots of numbers using a calculator. Solve problems that involve numbers as powers and roots.Washington State Standards 2008A1.1.A Select and justify functions and equations to model and solve problems.A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.A1.1.D Solve problems that can be represented by quadratic functions and equations.A1.1.E Solve problems that can be represented by exponential functions and equations.A1.2.A Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line. A1.2.B Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.A1.2.C Interpret and use integer exponents and square and cube roots, and apply the laws and properties of exponents to simplify and evaluate exponential expressions. A1.3.A Determine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.A1.3.B Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.A1.5.A Represent a quadratic function with a symbolic expression, as a graph, in a table, and with description, and make connections among the representations. A1.5.B Sketch the graph of a quadratic function, describe the effects that changes in the parameters have on the graph, and interpret the x-intercepts as solutions to a quadratic equation.A1.6.B Make valid inferences and draw conclusions based on data.A1.7.A Sketch the graph for an exponential function of the form y = abn where n is an integer, describe the effects that changes in the parameters a and b have on the graph, and answer questions that arise in situations modeled by exponential functions.A1.7.B Find and approximate solutions to exponential equations.(Highlighted means Green Standards for Algebra 1)COMMON CORE STATE STANDARDSN-RN Extend the properties of exponents to rational exponents; Use properties of rational and irrational numbers-Volume 2-Using Formulas to Solve Problems (Revision of OLD CORD Unit 15)Unit 15 Objectives: Read and write a formula. Rearrange the parts of a formula to fit your problem. Substitute values into the formula and find an answer. Use your calculator as you solve problems with formulasWashington State Standards 2008A1.1.A Select and justify functions and equations to model and solve problems.A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.A1.1.E Solve problems that can be represented by exponential functions and equations.A1.2.B Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.A1.2.C Interpret and use integer exponents and square and cube roots, a (nd apply the laws and properties of exponents to simplify and evaluate exponential expressions. A1.2.D Determine whether approximations or exact values of real numbers are appropriate, depending on the context, and justify the selection.A1.6.E Describe the correlation of data in scatter plots in terms of strong or weak and positive or negative.A1.7.D Solve an equation involving several variables by expressing one variable in terms of the other.(Highlighted means Green Standards for Algebra 1)COMMON