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MYP Mathematics Grade 7 -- Connected Math 2

MYP Level 2

I. Course Description: The math program at Lesher IB World Middle School aims to develop critical thinkers that are holistic learners with intercultural awareness and an ability to communicate effectively. Seventh grade mathematics uses the Connected Mathematics Project (CMP) which is a problem based curriculum where important mathematical concepts are embedded in engaging problems. While solving these types of problems, students observe and make conjectures about patterns and relationships. Topics covered in this course include similar figures, ratios, proportions, mathematical operations with negative numbers, probability, surface area, volume, area of circles, data analysis, linear relationships and scientific notation. Students will learn how to effectively communicate in all aspects of math including reading, writing, speaking, listening, reasoning and research, to support their growth as life-long learners. II. Colorado Model Content Standards and MYP Aims and Objectives STATE CONTENT STANDARDS: MYP

1: Number Sense, Properties, and Operations: · Demonstrate understanding of integers, rational numbers, percents, fractions, ratios and proportions in problem-solving situations. 2: Patterns, Functions, and Algebraic Structures · Describe problems by representing and analyzing patterns using tables, graphs, and rules. 3: Data Analysis, Statistics, and Probability · Report the probability of an event in fraction, decimal, and percent form. · Use counting strategies to determine possible outcomes. 4: Shape, Dimension, and Geometric Relationships · Use geometric concepts, properties, and relationships in problem-solving situations. 5: Use a variety of tools and skills in problem solving · Estimate, make, and use direct and indirect measurements to describe and make comparisons. 6: Communication and reasoning of solutions · Select and use appropriate methods to compute in a variety of problem solving situations.

AIMS & OBJECTIVES:

A. Knowledge and Understanding: · Develop mathematical reasoning to make deductions and solve problems · Demonstrate basic knowledge and understanding of the following branches of mathematics: number, algebra, geometry & trigonometry, statistics and probability, and discrete mathematics. B. Investigation of Patterns: · Apply mathematical knowledge and problem-solving techniques to investigate a problem · Generate and/or analyze information to find relationships and patterns C. Communication in Math: · Mathematics as a powerful and universal language. · Use mathematical language appropriately when communicating mathematical ideas, reasoning and findings D. Reflections in Math: · Reflect upon findings and problem-solving processes. · Gain insight into their strengths and weaknesses as learners · Appreciate the value of errors as powerful motivators to enhance learning and understanding.

III. Methodology As a problem-centered curriculum, students spend time solving problems, reflecting on solution methods, examining why the method worked, comparing methods and relating methods to those used in previous situations. Students will be working on complex problems that cannot always be solved in one lesson. The CMP and Prentice Hall curriculum develops mathematical skills and conceptual understanding across mathematical classes and interdisciplinary content areas. IV. Texts and Resources Connected Mathematics 2: http://connectedmath.msu.edu/ Stretching and Shrinking, Comparing and Scaling, Accentuate the Negative, What Do You Expect?, Filling and Wrapping, Moving Straight Ahead, and Data Around Us. Supplementary Materials: Math's Mates (Blue Book) http://www.mathsmate.net/WebPages/usa/blueUSA.htm PSD Supplemental Material

Lesher IB World MS ­ Course Outline

2/9/2011 1

V. MYP Units of Study & the Role of the Areas of Interaction in the Course Unit Title Concept Area of Interaction and Essential/ Content Question Similarity (Stretching and Shrinking) Ratios and Proportions (Comparing and Scaling) Negative Numbers (Accentuate the Negative) Probability (What Do You Expect?) Equivalence Using ratios and proportions to compare similar figures. Comparison Students compare quantities using ratios, rates, fractions and percents. Integers Develop strategies for adding, subtracting, multiplying and dividing integers. Predictions Students will use multiple strategies to determine probabilities in different situations. Measurement Students will calculate the surface area and volume of threedimensional shapes. Exploration Students will explore Pi and various data analysis tools. Connections Students identify, represent and interpret linear relationships in tables, graphs and equations. Data Students explore ways to work with very large numbers. Area of Interaction: Approaches to Learning Essential Question: When is something too BIG and too small? Content Question: How do you know proportional relationships exist? Area of Interaction: Environment Essential Question: At what rate will this ever make sense? Content Questions: What comparisons can be made using ratios?

Area of Interaction: Health & Social Essential Question: How do you know if a strategy is sensible? Content Questions: How do operations with rational numbers compare to operations with integers? Area of Interaction: Community and Service Essential Question: How do games of chance affect our society? Content Questions: How do theoretical and experimental probabilities apply to games of chance? Area of Interaction: Environment Essential Question: How can we conserve our resources? Content Questions: How are surface area and volume like and unlike each other? Area of Interaction: Human Ingenuity Essential Question: When is one statistical measure better than another? Content Questions: What is so special about pi? Area of Interaction: Approaches to Learning Essential Question: What story does a line tell? Content Questions: What makes a pattern linear?

Surface Area and Volume (Filling and Wrapping) Circles and Data Analysis

Linear Relationships (Moving Straight Ahead) Scientific Notation (Data Around Us)

Area of Interaction: Community Service Essential Question: When is it ok to stop and modify? Content Question: How is scientific notation a useful representation?

VI. Methods

of assessment and Grading Policy · Formative assessments are the activities that lead up to the summative (or final) assessment. Formative assessments including quizzes, worksheets, journal writing, labs and investigations, discussions, group work, etc. are tiered based on ability level and will be used to measure understanding of concepts and skills. · The summative assessments will allow students to demonstrate their level of achievement as related to the MYP objectives and state standards. · Students will receive two measures of achievement: (1) MYP Criteria-Based Assessment (2) a letter grade

Lesher IB World Middle School ­ Course Outline

2/9/2011 2

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