Hoover/Meredith MYP Vertical Unit Planner Subject Area: Mathematics Collaborators: 6th – 10th Grade Teachers Math 6 Unit Unit Title Unit 1 Imbalance of resources can cause conflict (5 weeks) Unit 2 Parts of Parts in the Park (6 weeks) Unit 3 Ratio in Auxology (5 weeks) Unit 4 Where did Algebra begin and how is it used? (5 weeks) Unit 5 Geometry delivers (5 weeks) Unit 6 Analyzing interpreting data impact decision making in the world (6 weeks) Concept Statement (key concept) Key Concept: Relationships Related Concepts: Imbalance, Representation Key Concept: Relationships Related Concept: Model, representation Relationships can be modeled and represented. Key concept: Patterns Related concept: Relationships Key Concept: Logic Key Concept: Form Key Concept: Form Related Concept: Equivalence, simplification Related Concept: Measurement, space Related Concept: Representation Statement of Inquiry: Through form, space and measurement are created. Statement of Inquiry: Human Ingenuity/ Collaboration Health and Social Education / Information Literacy Factual: When is it useful to be able to relate one quantity to another? Conceptual: How are ratios and rates used in everyday life? Statement of Inquiry: Logic with expressions and equations leads to equivalence and simplification. Human ingenuity / Transfer, thinking How can expressions with exponents be simplified? Why does this strategy work? Human Ingenuity Communication Health and Social / Organization & Communication How can I use my understanding of data and Stats to change perspectives of the world? Statement of Inquiry: Relationship between resources can be represented as an imbalance or equivalence. AOI/ATL Cluster Inquiry Question Community and service/ Organization, communication How can my application of resources help me understand the environment? Factual: How can division of fractions be modeled and represented? Statement of Inquiry: Patterns of ratios and rates express the relationship between two quantities. What types of units are necessary for finding the area of two dimensional figures and surface area and volume of three Unit 7 Are you negative? Are you positive? (3 weeks) Revisions underway for 2013-2014 Unit 8 Unit 9 Unit 10 Math 7 Culminating Task Authentic Task: Solving an imbalance at a National Park Formative Performance: Authentic Trail Mix Assessed MYP Criteria A Knowledge and Understanding C Communication Unit Title Integers 6 weeks Expressions and Equations 6 weeks Concept Statement (key concept) AOI/ATL Cluster Inquiry Question Development Related Concepts: Computation Opposites Orientations in Space and Time – Organization Factual: What is an opposite? Conceptual: Why do we need to understand absolute value? Debatable: Does my orientation (where I am from) define Debatable: How would life be different without ratios and rates? Presentation: Technology Planning an international food fair B Investigating Patterns Ratio and Proportional Reasoning 6 weeks Decision Making Relationships Identities and Relationships Personal and Cultural Expression How do I create and maintain balance? How do the variables in our everyday lives affect our decisionmaking? dimensional figures? Authentic Task: Designing a Bridge Authentic Task: Design a house A Knowledge and Understanding B. Investigating Patterns Probability 6 weeks A Knowledge and Understanding Project: “That’s Amour” or (choice) Departing on time C Communication D Reflection in Mathematics Analyzing the World 6 weeks Life of Pi 6 weeks Representation Spatial Relationships Identities and Relationship Scientific and Technical Innovation How can I use patterns to help develop geometric and algebraic formulas? (Revision in progress for 2013-14) Fairness and Development Collaboration How can analyzing data and graphs help me become socially aware of the world we live in? A Knowledge and Understanding D Reflection in Mathematics Culminating Task Math 8 who I am? Performance skill: Game Show Task Authentic Task: Planning a trip for a family Authentic Task: Scale drawing/model Project: Creating a Carnival Game Project: Standard of living graphing project C Communication in Mathematics D Reflection in Mathematics Authentic Task: Designing a golf hole Assessed MYP Criteria A Knowledge and Understanding B Investigating Patterns C Communication A Knowledge and Understanding D Reflection in Mathematics A Knowledge and Understanding C Communication D Reflection in Mathematics Unit Title Don’t Get Scammed by Math (3 weeks) Key Concept: Relationships Related Concepts: Justification Patterns Knowing the Unknown (3 weeks) Functions are Fabulous (6 weeks0 Get it Right? (6 weeks) Convince me with Numbers!!! (6 weeks) Shape Up! (6 weeks) Systems of Equations (6 weeks) Key Concept: Form Related Concepts: Simplification Change Key Concept: Relationship Related Concepts: Representations Patterns Key concept: Relationships Related concept: Measurement and Equivalence Key Concept: Relationships Related Concept: Quantity, Generalization Key Concept: Form Related Concepts: Measurement and Quantity Key Concept: Relationships Related Concepts: Model Representation Statement of Inquiry: Relationships formed through patterns can be misleading and may require justification. Statement of Inquiry: Forms may change and become simplified through principles and creations. Statement of Inquiry: Relationships are formed through different representations of patterns. Statement of Inquiry: Measurement and equivalence are significant in relationships. Statement of Inquiry: Relationships can be generalized by analyzing quantities. Statement of Inquiry: Geometric forms are based on measurement and quantity. GC: Fairness and GC: Scientific Identities and Scientific and Health and Globalization Statement of Inquiry: Students understand that relationships involving two variables can be modeled through tables, graphs, and equations to solve real life situations. Community and Concept Statement (key concept) AOI/ATL A Knowledge and Understanding B Investigating Patterns Cluster Development and Technical Innovation relationships Technological Innovation Organization Communication F: What processes are involved in solving linear equations? C: How can principles and creations make solving linear equations easier? D: How can guessing be an effective strategy when solving linear equations? Information Literacy Factual: How do we represent a relationship with a table? Conceptual: How can we keep our relationships balanced? How will flexible (open-minded) thinking help to solve problems? Debatable: Are multiple representations appropriate for all situations? Which representation is most appropriate for a given situation? Authentic Task: Choose an international calling plan to fit needs for a world trip Thinking Transfer Factual Question: How do we represent the Pythagorean Theorem? Conceptual Question: How can you use geometric shapes to observe visual proof of the Pythagorean Theorem? Debatable Question: Why does the Pythagorean Theorem only work on right triangles? Communication Inquiry Question F: How does an exponent represent a pattern? C: How are integer exponents and their equivalent numerical form related? D: Can numbers be manipulated to take advantage of people or contribute to their wellbeing? Culminating Task Project: Ponzi Scheme Using Exp. Rules Comm.- How it works and if legitimate Written: Informative Translating word form to equation and communicating the process Presentation: Create a kid friendly presentation of Pythagoras to our everyday lives or solve a real-life problem using the applications of Pythagoras theorem in the Social Education / Organization Communication Information Literacy Factual: What information can I gather from a scatterplot? Conceptual: How can relationships be generalized by analyzing quantities displayed in a scatterplot? Debatable: Is a scatterplot or two way table better to represent the relationship between data? and sustainability Authentic Task: Create scatter plot on infant mortality and life expectancy. Draw conclusions and make predictions based on data Authentic Task: Design packaging for an energy drink and shipping container in the most efficient way. Transfer Reflection Factual: What formulas do I use to calculate volume of a geometric shape (cone, sphere and cylinder)? Debatable: Which formula is appropriate for calculating a threedimensional figure and why? Conceptual: How are the geometric formulas for measurement and quantity derived (cone, sphere, and cylinder)? Service/ Communication Transfer How do I find a solution to two equations without backtracking? Authentic Task: Omaha trip to zoo – make decisions based on solutions of systems and environments data Algebra I world of construction A: Knowledge and Understanding Assessed MYP Criteria B. Investigating Patterns C: Communication C: Communication A: Knowledge and Understanding B: Investigating Patterns Unit Title The Basics (1 week) Equations (4 weeks) Basic Graphs (4 weeks) Lines (3 weeks) Concept Statement (key concept) K.C. Form R.C. equivalence simplification K.C. Form R.C. model, pattern, generalization, representation K.C. Form R.C. representation, change, system, model K.C. Relationships AOI/ATL Cluster Social and Health Education / selfmanagement, social What is relationship between balance and basic rules Environments / Communication Human Ingenuity / Communication Thinking Community and Service / Thinking How do you utilize patterns? How do I know if data is a good fit? How are relationships represented mathematically? Culminating Task Quiz Personal Project on patterns Personal project (DBA 1) Oral Presentation (DBA 2) Authentic Task – Disasters (DBA 3) Cell Phone Plan Project (DBA 4) Health-related Function Project (DBA 5) Assessed MYP Criteria C Communication in Mathematics A Knowledge and Understanding B Investigating Patterns D Reflection in Mathematics A Knowledge and Understanding B Investigating Patterns C Communication in Mathematics B. Investigating Patterns C Communication in Mathematics Inquiry Question A Knowledge and Understanding D Reflecting in Mathematics A Knowledge and Understanding D Reflection in Mathematics A Knowledge and Understanding Systems and Inequalities (5 weeks) K.C. Relationships R.C. representation System justification Functions (3 weeks) Radicals and Exponents (3 weeks) K.C. Form R.C. quantity, simplification, pattern, change Basic Statistics (2 weeks) Basic Quadratics (4 weeks) Quadratics (4 weeks) K.C. Relationships R. C. change, generalization, representation K.C. Form R.C. equivalence, simplification K.C. Form R.C. generalization, simplification Community and Service / Social Thinking Environments / Organization Information Literacy Human Ingenuity / Thinking Communication Human Ingenuity / Research and Thinking How does transforming expressions allow us to create solutions? Why has mathematics developed as the international language? ?? (DBA 8) ?? (DBA 9) A Knowledge and Understanding B Investigating Patterns D Reflection Health and Social Education / Communication Thinking How can you predict an outcome given different choices? K.C. Relationships R. C. generalization, patterns, change, representation Health and Social Education / Thinking SelfManagement Why are rules created? Why pay it forward? How can ecological footprint statistics help us understand our influence on the environment? Pay it Forward – Ecological Project – Footprint technology (DBA Performance 6) Task (DBA 7) B Investigating A Knowledge Patterns and Understanding Geome try Algebra II Unit Title Constructions Congruence and Proofs K.C. Logic R.C. justification , equivalence Proofs Part 2 Concept Statement (key concept) K.C. Relationships R.C. representation, model AOI/ATL Cluster Community & Service Health & Social Environment Inquiry Question How can we use constructions to meet community needs How would life be different without deductive reasoning? Culminating Task Pack Project Story – RAFTS District Benchmark Assessed MYP Criteria C Communication in Mathematics Unit Title Concept Statement (key concept) AOI/ATL Cluster A Knowledge and Understanding C Communication in Mathematics Simple Simple Functions Tables Functional Composition/ Inverse K.C. Relationships R.C. representations , model Human Ingenuity / Congruence and Volume K.C. Relationships R. C. generalization, measurement, space Human Ingenuity/ Research Probability Similarity Circles K.C. Relationships R. C. change, quantity K.C. Relationships R. C. model , change K.C. Relationships R. C. quantity, space Health and Social Education / Research Community and Service / Selfmanagement How do buildings effect environment What is a box? What are your odds? How do you design a plan? Human Ingenuity / Social Collaboration How is profit determined? Benchmark Project Project – Design package for client District Benchmark Create game “Fight to the death” District Benchmark Blue print assessment District Benchmark Pizza Project District Benchmark Reflection A Knowledge and Understanding D Reflection in Mathematics A Knowledge and Understanding B Investigating Patterns A Knowledge and Understanding D Reflections in Mathematics D Reflections in Mathematics Polynomials Complex Numbers Solving System of Equation and Matrices Exponential Function K.C. Form R.C. simplification, equivalence K.C. Form R.C. representation K.C. Form R. C. representation, model K.C. Logic R. C. representation, model Human Ingenuity / Human Ingenuity / Community and Service/ Health and Social Education K.C. Trigonometry / Right Triangles K.C. Relationships R. C. measurement, model Transformations Environments/ Think Health and Social Education / Research How are trigonometry / right angles used to impact our environment? Student written survey/question s District Benchmark A Knowledge and Understanding B Investigating Patterns How does mathematics enable me to learn about myself? Logarithms Trigonometry Unit Basics Trigonometry Part 2 Trig rules and identities Transformation and Circles K. C. Relationships R. C. measurement, quantity Environment / Social K. C. Relationships R. C. patterns, equivalence K. C. Relationships R. C. measurement, model Environments / Thinking K. C. Form R. C. change, space Human Ingenuity K. C. Form R. C. change, space Make a flip book District Benchmark B Investigating Patterns Health and Social Education Thinking Thinking Communication How does transforming expressions allow us to create solutions? Thinking Research Why are there complex numbers? Research Exit Ticket website, Pico Monster? Missile control guidance, cell phone vibration, madel brot D Reflection in Mathematics Project – Data collection setup analyze (DBA) Money Retirement C Communication in Mathematics D Reflection in Mathematics Inquiry Question How can I make responsible choices based on my understanding? Culminating Task Create a table to decided the equation Quiz aligned with benchmark ?? (DBA) Assessed MYP Criteria B Investigating Patterns A Knowledge and Understanding B Investigating Patterns How does location influence sales? / Selfmanagement How do investments affect your future? / Thinking / Research What power can mathematics give us to communicate environmental issues to the world? Caffeine/Alcoho l detoxification What patterns can you find? How are trigonometry concepts used to impact our environment? How is math used in architectural design Exit Reflection questions Summative Navigator Exam Extensions (DBA) of Geometry A Knowledge and Understanding C Communication B Investigating Patterns A Knowledge and Understanding B Investigating Pattterns