Mt. Mourne School MYP Course Outline Mathematics/Algebra I MYP Level 3 Jane Allender/Stacy Wozny Course Description: The mathematics department at Mt. Mourne School is organized to ensure that the three fundamental concepts of the MYP are embraced within the mathematics curriculum as follows: 1. Holistic Learning through: Establishing links between subjects and cultures Constructing knowledge via different learning styles and strategies Providing relevance to learning through real-world situations and experiences Connecting knowledge, concepts and skills through the strands of mathematics Effectively developing the areas of interaction 2. Intercultural Awareness through: Developing students’ attitudes, knowledge and skills as they learn about their own and others’ social, national and ethnic cultures Considering multiple perspectives, including inter-cultural awareness, that leads to understanding and respect 3. Communication through providing opportunities for: Inquiry and understanding through hands-on experiments and mathematical labs Student reflection and expression through math journals Acquiring and using multiple forms (verbal and non-verbal) for expressing thoughts and ideas Working in different groups and portraying different roles within those groups The IB Learner Profile: Students will learn to use the resources (including technology) around them to acquire a deeper understanding of the course objectives while developing a strong sense of inquiry. Students will become knowledgeable of mathematical concepts and will learn to apply this knowledge to make connections to the real world. Through problem solving and hands-on investigations, students will learn to use appropriate strategies to become more open-minded, independent thinkers. Students will use mathematical language, both oral and written, to become more effective communicators. Students will have the opportunity to demonstrate principled, caring behaviors during classroom demonstrations, reflective practices, and outside projects. Students will be encouraged to think outside of the box, maintain balance, persevere, and take risks while engaging in problem-solving activities. NCSCOS Aims/Objectives: IB Aims/Objectives: Competency Goal 1: The learner will perform Knowledge and Understanding: The student knows and demonstrates operations with numbers and expressions to solve understanding of number, geometry, statistics, and algebra concepts. The problems. student consistently uses appropriate methods, rules and/or formulas when solving problems in a variety of contexts including familiar and Competency Goal 2: The learner will describe unfamiliar situations. geometric figures in the coordinate plane algebraically. Investigating Patterns: The student selects and applies mathematical problem-solving strategies to recognize simple patterns in different Competency Goal 3: The learner will collect, situations. Using logical arguments, the student describes them as organize, and interpret data with matrices and linear relationships or general rules, arriving at results and making predictions. models to solve problems. Communication: The student shows good use of mathematical language Competency Goal 4: The learner will use relations and forms of mathematical representation (formulas, diagrams, tables, and functions to solve problems. charts, graphs, and models). Reasoning and explanations are logical and complete. The student explores different forms of representation with some success when solving simple problems. Reflection: The student considers the reasonableness of his/her results in the context of the problem and attempts to explain whether they make sense. The student considers the importance of his/her findings and the degree of accuracy of his/her results. The student considers alternatives to the method when appropriate. Mt. Mourne School MYP Course Outline Topic / Time Expressions, Equations, Inequalities and Matrices Unit Question Significant Concept AoI How do my choices affect the environment? Personal choices make an impact Environments Assessment / Criteria Assessed Real-life Problem Criteria: A, D 6 weeks Radical Expressions and Geometric Relationships 6 weeks Linear Functions 6 weeks Exponential Functions 6 weeks Linear Systems 6 weeks Polynomials and Quadratic Functions 6 weeks What’s the value of being irrational? How are predictions valuable? An estimate is a judgement Broad based Classroom Test Human Ingenuity When to overestimate or to underestimate Criteria: A, C Understand that decisions are made based on predictions Predictions are used for promotion and prevention Mathematical Investigation Human Ingenuity Criteria: B, C How do populations change over time? Rapid change can have profound effects on health and society Health and Social Education What impact do crossroads have in your life? To be at a crossroads requires important decision-making Community and Service Why do you make a model? Different strategies are used to yield the same results Real-life Problem Criteria: A, C Real Life Problem Criteria: A, D Broad-based Classroom Test Human Ingenuity Criteria: A, D Role of the Areas of Interaction: Human Ingenuity— Students are provided the opportunity to explore the history and development of mathematics from the past to the present. Students will have opportunities to create products from mathematical investigations and discoveries. Approaches to Learning— Students work to improve upon their mathematical communication, organization, collaboration, and reflection through a variety of activities. Students will make connections between math concepts and other subject areas. Health and Social Education—Students will use mathematical investigations, specifically the use of statistics, to advocate for change or improvement in social and health issues. Environments—Students will use data analysis to investigate the various impacts on natural, built, and virtual environments. From this, students will raise awareness that may result in action and/or change. Community and Service—Through mathematical investigations, students will gain an appreciation that will foster an interest in providing service in their community. Grading Policy: Plans for Assessment In order to ensure that students have a clear understanding of the assessment criteria and to establish a clearly defined system by which the teachers assess students, we will: Mt. Mourne School MYP Course Outline assess each criterion for each subject at least twice by the end of eighth grade. maintain an MYP assessment portfolio for each student in each subject. The assessment portfolio will include task descriptions, the criteria for the subject, a section for student reflection, and a section for parent signature and response. bring task, rubric, and samples of student work to share and reflect ensure that the assessment tasks assigned in each subject area are in line with the moderation of assessment requirements for that subject area. distribute portfolios to students at the beginning of each semester/quarter. submit samples of completed portfolios to the MYP coordinator at the end of each semester to share with the whole staff. create adapted rubrics for years 1-4. standardize assessments by subject area at least once a year. collaborate and use common MYP assessments for courses being taught by more than one teacher. participate in IB assessment as required. Plans for Communication In order to effectively communicate MYP assessment criteria to parents and students, we will: Post all assessment criteria on Mt. Mourne School’s web page and on teachers’ web pages. Post subject area rubrics on individual teachers’ web pages as necessary. Provide students with copies of the criteria in each subject area at the beginning of each course. Require students to complete a reflection after each MYP assessment task and obtain a parent signature documenting that the parent has seen the assessment results. Incorporate students’ IB progress into student-led conferences. Incorporate students’ IB progress into parent-teacher conferences. Offer Parent/Family Nights to educate parents and incoming students. Math: Assessment Criteria (see specific teacher’s website for scoring rubrics) Criterion A Knowledge and understanding Maximum 8 Criterion B Investigating patterns Maximum 8 Criterion C Communication in mathematics Maximum 6 Criterion D Reflection in mathematics Maximum 6 Text and Other Resources: Prentice Hall Algebra I Textbook, North Carolina DPI Algebra Resources, Real World Algebra by Edward Zaccaro, The Ten Things All Future Mathematicians and Scientists Must Know (But are Rarely Taught) by Edward Zaccaro