CAMPBELL MIDDLE SCHOOL



2012—2013 Grade 7 Math Connections Syllabus (IB MYP Year 2)CAMPBELL MIDDLE SCHOOL: An International Baccalaureate World School678-842-6873INSTRUCTOR: Amy Rethman EMAIL: amy.rethman@ BLOG: VOICEMAIL: (404) 941-4213COURSE SUMMARY:The math connections course is designed to preview math vocabulary and concepts in the Math 7 course, strengthen reading and writing concepts related to math, and reinforce of specific basic math skills. These skills help students to become independent and self-sufficient learners as well as provide students with a strong basis for mathematical achievement. The format of this course promotes student engagement through exploration of mathematical concepts and making natural connections between units of study and how different concepts integrate into the global community. These connections will personalize student learning and promote habits of the mind that support the IB learner profile. Throughout the year, we will use “real-life” applications of math and encourage students to become inquirers, knowledgeable, thinkers, communicators, principled, risk takers, balanced, caring, and reflective in their learning.By the end of grade seven, students will be able to apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers; use properties of operations to generate equivalent expressions; analyze proportional relationships and use them to solve real-world and mathematical problems; use random sampling to draw inferences about a population; draw, construct, and describe geometrical figures and describe the relationships between them; investigate chance processes and develop, use, and evaluate probability models.Our study of these topics in mathematics will be:Holistic - Students will be required to use mathematics and mathematical skills in many aspects of their lives. Their knowledge and understanding of these concepts will be required for personal decision making, and participation in civic and cultural affairs.Intercultural - MYP mathematics promotes an understanding of how cultural, societal and historical influences from a variety of cultures have influenced mathematical thought, and brought about its evolution. Students should be able to understand and discuss the international nature of mathematics.Focused on communication - MYP mathematics places considerable emphasis on mathematical literacy and requires students to use the language and symbols of mathematics through a variety of media and technologies. Students should come to realize that the language of mathematics is universal.STUDENT AGENDA:Your child was given a student agenda at the beginning of the school year or upon enrollment. We encourage you to regularly check this agenda for important dates and reminders, as well as for your child’s daily assignments. Each Tuesday, important information from CMS will be sent home in the agenda. The agenda will also serve as the student’s hall pass and should be with your child at all times while on campus.TEXTS AND RESOURCES:Student Agenda (Replacement Cost - $5.00)Online Resources: Study Island () Username: firstnamelastnamePassword: lunch numberGizmos () Username: firstnamelastnamePassword: lunch numberBrainPop! () Username: cmsedu Password: educationCLASSROOM MATERIALS:In order to be prepared DAILY, each student should have:School Agenda#2 pencils (No Ink!)4 – BLUE folders with pockets and 3 brads Notebook paper(Additional shared supplies requested for the classroom: copy paper or2 dry erase markers, a box of Kleenex, and hand sanitizer.)Student Access to Holt MathTextbook Online Name: cmsmath10Password: educationCLASSROOM EXPECTATIONSFollow all teacher directions the first time given and in a timely manner.Talking is permitted, but stops immediately when the teacher or another student addresses the class.Students are expected to listen and respond appropriately when others are talking.Students will address each other by their respective names.Students should be prepared each day with proper supplies and learning attitude.Be punctual (you are tardy when the tardy bell rings).UNITS OF STUDY Units have been developed around five IB MYP strands: number and operations (number sense), geometry, algebra, data analysis (statistics) & probability, and discrete mathematics. We will address MYP Mathematics Objectives through the state standards. Estimated TimeframeUnitCommon Core Georgia Performance StandardsMYP Mathematics Aims6 weeksUnit 1: Operations with Rational NumbersAdding and Subtracting Rational NumbersMultiplying and Dividing Rational NumbersStudents will understand that... Computation with positive and negative numbers is often necessary to determine relationships between quantities. Models, diagrams, manipulatives and patterns are useful in developing and remembering algorithms for computing with positive and negative numbers. Properties of real numbers hold for all rational numbers. Positive and negative numbers are often used to solve problems in everyday life.MCC7.NS.1 Apply and extend previous understanding of addition and subtraction to add and subtract rational numbers; represents addition and subtraction on a horizontal or vertical number line diagram.Describe situations in which opposite quantities combine to make O. For example, a hydrogen atom has O charge because its two constituents are oppositely charged.Understand p + q as the number located a distance |q| from p. In the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.MCC7.NS.2 Apply and extend previous understanding of multiplication and division and of fractions to multiply and divide rational numbers.Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, than -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.Apply properties of operations as strategies to multiply and divide rational numbers.Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.MCC7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.The aims of teaching and learning in mathematics are to encourage and enable students to:develop a positive attitude toward the continued learning of mathematicsappreciate the usefulness, power and beauty of mathematics, and recognize itsrelationship with other disciplines and with everyday lifeappreciate the international dimensions of mathematics and its varied cultural andhistorical perspectivesgain knowledge and develop understanding of mathematical conceptsdevelop mathematical skills and apply themdevelop the ability to communicate mathematics with appropriate symbols and languagedevelop the ability to reflect upon and evaluate the significance of their work and the work of othersdevelop patience and persistence when solving problemsdevelop and apply information and communication technology skills in the study of mathematics.6 weeksUnit 2: Expressions and EquationsApplying Properties to Simplify Expressions Discovering propertiesSimplifying expressionsIn these lesson students will:? Use properties of operations to generate equivalent expressionsSolving Equations and InequalitiesSolving EquationsSolving InequalitiesIn these lessons students will:Solve real life math problems using numerical and algebraic expressions, equations, and inequalitiesMCC7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.MCC7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05."5 weeksUnit 3: Ratios and Proportional RelationshipsUnit Rates with FractionsUsing Unit RateSolving Problems with ProportionsIn these lessons students will:Identify the constant of proportionality, unit rate and slope as being the same measure.MCC7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.MCC7.RP.2 Recognize and represent proportional relationships between quantities.Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Represent proportional relationships by equations. For example, if total cost is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t=pn. Explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (O,O) and (l,r) where r is the unit rate.MCC7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. MCC7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.AREAS OF INTERACTION:During the course, we will use the areas of interaction to build connections between students’ knowledge and experience related to the real world. For example, students will develop approaches to learning that help them become problem solvers and critical thinkers. Students will seek ways to determine how mathematics supports community and service endeavors such as the Math-a-Thon which benefits St. Judes Children’s Research Hospital. Students will determine how human ingenuity has influenced the progression and modernization of math topics. Students will consider the use of mathematics and how it has changed the environment. Students will explore health and social education and its impact on the need for mathematics.METHODOLOGY:In the MYP, teachers work together to develop a variety of opportunities for learning focusing on the approaches to learning, especially critical thinking and reflection. Individual and collaborative active learning are at the heart of the classroom instruction. Real world connections and opportunities to investigate and solve problems will help students become world citizens who understand contemporary issues with a depth and wisdom drawn from experience and future trends. METHODS OF ASSESSMENT:A balance of formative and summative assessments will be used to assess student learning. Rubrics and checklists will provide students with assignment expectations. Instruction and assessment will include the use of manipulatives and appropriate technology. Topics will be represented in multiple ways including concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic.GRADING AND REPORTING:Numerical grades will be issued to indicate academic performance. Class averages will be determined using the following weighted averages for content to be covered. Parents may access Pinnacle Internet Viewer (PIV) (the free online grade book) to view your student’s grades, missing assignments, and attendance. In addition, at least two assignments per semester will be assessed using the IB MYP learning objectives in four criteria. These include: Knowledge and Understanding, Investigating Patterns, Communication in Mathematics, and Reflection in Mathematics.1st Nine Weeks2nd Nine WeeksOperations with Rational Numbers - 66%Equations and Expressions - 34%Equations and Expressions - 34%Ratios and Proportional Relationships - 66%Classwork/Labs (20 points each) – All daily activities are to be kept together in an interactive math notebook (MIN). Although the notebook itself will not be graded for accuracy, there will be occasional open reference assignments that will require every student to use their own notebook. Students will not be allowed to use another student’s notebook. (Examples: task rotations, graphic organizers, foldables, Anticipation Guides, reflection exercise, etc.). Students will also regularly participate in computer-based math learning experiences.Journal Entries/ROPES (20 points each) – Math journals are a valuable technique to develop and enhance mathematical thinking and communication skills in mathematics. Students will regularly respond in their journals through problem solving, goal setting, and reflections.Projects (20 points each) – Projects may be assigned at times to supplement the material covered in class. Ample time will be given for completion of projects. Vocabulary Assignments (20 points each) – Students will enhance their understanding of mathematical terms through a variety of learning strategies.Performance Tasks (20 points each) – Performance Tasks allow students to demonstrate their understanding of the content through real-world simulations. *Homework is not assigned in Math Connections. Students are expected to complete homework for core math class and practice areas of improvement such as multiplication tables and practice with integers. *All works will remain in the student’s interactive notebook (MIN), which will be kept in the classroom. Parents may schedule a conference at any time to review their child’s notebook.MAKE-UP WORK POLICYStudents will be given the same number of days absent to complete his/her make-up work. Students and parents are encouraged to use the homework hotline to check on work missed while absent. Students or parents may call the homework hotline after 6:00 p.m. each day to get homework assignments. Regardless of reason for absences, it is your student’s responsibility to make up missed work, and to make arrangements with the teacher to complete missed assignments. If a student wishes to turn in a late assignment for any reason other than being absent, a late penalty will apply. Students should visit the “Make-up Work Station” to obtain any handouts, etc. Make-up work should be turned in with a completed Late Work form attached. CONDUCTStudents must follow the CMS Student Behavior Expectations Plan as outlined in the Student Agenda. The agenda must be with students at all times and will serve as their hall pass. In addition, students are expected to abide by ALL classroom procedures and expectations. Conduct grades will be determined using the number of classroom infractions earned by a student during the grading period. Additionally, the teacher’s assessment of the student’s overall behavior in his/her class will be considered in assigning conduct grades.PARENT TIPSParents may register to receive access to Pinnacle Internet Viewer (PIV) (the free online grade book), which can be used to keep up with student progress. Students will record assignments and homework in their agenda. Teachers will update their blogs on a weekly basis. Please feel free to email anytime. If you do not receive a response within 48 hours, your email may have been blocked. Therefore, please send a note in your student’s agenda. While at home, parents are encouraged to:Set a regular time and routine for doing homework. Establish a regular place which is well lit and quiet for completing homework. Remove distractions during home study time. No television, phone calls, or text messaging. Insist that homework assignments are completed dailyThis plan can be changed to reflect the needs of the students.Please contact Mrs. Rethman to schedule a math connections conference within the first 3 weeks of school.Students and parents please sign and return. A copy is available on Mrs. Rethman’s blog or parents may request a copy for home.Student Name (print)DateParent/Guardian SignatureDateParent/Guardian Contact Number(s)Parent/Guardian Email Address ................
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