Welcome to Mathematics 7 ! I am very excited for you to be a part of my class! I am confident that we’ve got a lot to learn from one another. Please show up ready to learn & ready to extend grace to your classmates and
me. Thoroughly read through this syllabus - it will help you get a better understanding of the course and my expectations. It’s going to be a fantastic year!
nphibbs@greenville.k12.sc.us |Nicole Phibbs
SUPPLIES: 2 Composition notebooks; a two pocket folder; earbuds; Carnegie Learning Textbook,
COMMUNICATION:
My email address is nphibbss@greenville.k12.sc.us. I will respond to your emails as quickly as possible. My telephone number is (864) 355-8562. This phone number will directly connect you to my voicemail. Please leave your name, message, and a phone number so I can address your needs when I am finished teaching.
Student Backpack is an essential tool for accessing grades. Google Classroom will be your greatest asset for staying up to date.
CLASSROOM EXPECTATIONS:
While in my classroom, I expect students to work with urgency while treating each other with high levels of respect and compassion. I will make every effort to ensure you have a 7th grade Math experience that encourages your love of mathematics and increases your ability to communicate using math vocabulary and problem solve effectively. This means that our classroom environment must be a safe place to wrestle with solving different problems in multiple ways. Any behaviors that threaten this environment will be subject to Woodmont Middle School’s discipline policy. Please see the student handbook for additional information.
GRADING:
Major Assessments (3-4) 50% Minor Assessments (minimum of 8) 50%
Major Assessments: Major assessments include tests or culminating products. Students will receive notice in advance and will go through the necessary teacher-directed study and preparation for any major assessment. Students, however, should also spend time preparing for major assessments at home.
Minor Assessments: Minor assessments will include homework, classwork, and skills-based quizzes.
Make-up Work Policies: It is the responsibility of each student to inquire about make-up work upon returning from an absence. Students must also check google classroom for classwork and homework information for any days missed.
Redo/Retake/Revision Policies: Students are welcome to redo or retake any minor assignments given in the current quarter. For major assessments, test corrections are available upon request. Students must complete the Mathia for that unit with proficiency and step by step problems completed before being able to re-take or complete test corrections. Once the quarter ends, grades cannot be altered.
Mathia Grades: Mathia will be graded based on performance. Students will receive their performance grade per workspace within each assigned topic, which will then be averaged. They will be completed by the time of each topic assessment.
Math 7 Course Overview:
Extend prior knowledge to translate among multiple representations of rational numbers (fractions, decimal numbers, percentages). Exclude the conversion of repeating decimal numbers to fractions..
Apply the concepts of all four operations with rational numbers to solve real-world and mathematical problems.
Solve real-world and mathematical problems involving ratios and percentages using proportional reasoning (e.g., multi-step dimensional analysis, percent increase/decrease, tax).
Extend previous understanding of Order of Operations to solve multi-step real-world and mathematical problems involving rational numbers. Include fraction bars as a grouping symbol.
Extend prior knowledge of operations with positive rational numbers to multiply and to divide all rational numbers.
Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.
Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.
Write equations to solve problems involving the relationships between angles formed by two intersecting lines, including supplementary, complementary, vertical, and adjacent.
Investigate the concept of circles.
Compare the numerical measures of center (mean, median, mode) and variability (range, interquartile range, mean absolute deviation) from two random samples to draw inferences about the populations.
Visually compare the centers, spreads, and overlap of two displays of data (i.e., dot plots, histograms, box plots) that are graphed on the same scale and draw inferences about this data.
Extend the concepts of simple events to investigate compound events.
Module One:
Thinking Proportionally
Topic1: Circles and Ratio
Students learn formulas for the circumference and area of circles and use those formulas to solve mathematical and real-world problems. Students also learn that the irrational number pi (π) is the ratio of a circle’s circumference to its diameter.
Topic 2: Fractional Rates
Students calculate and use unit rates from ratios of fractions. They review strategies for solving proportions and then use means and extremes to solve real-world proportion problems.
Topic 3: Proportionality
Students differentiate between proportional and non-proportional relationships, including linear relationships that are not proportional. They identify and use the constant of proportionality from tables, graphs, equations, and real-world situations; represent proportional relationships with equations; and explain the meaning of points on the graph of a proportional relationship.
Topic 4: Proportional Relationships
Students use proportions and percent equations to solve real-world problems about money and scale drawings. They use multiple representations to solve and compare percents. Then students use proportionality to solve problems with scale drawings and scale factors.
Module Two:
Operating with Signed Numbers
Topic 1: Adding and Subtracting Rational Numbers
Students use physical motion, number lines, and two-color counters to develop conceptual understanding of adding and subtracting integers. They develop rules for these operations and apply the rules to the set of rational numbers.
Topic 2: Multiplying and Dividing Rational Numbers
Students use number lines and two-color counters to model and develop rules for the signs of the products and quotients of signed numbers. They convert rational numbers from fractional to decimal form. Then students apply rules and properties to the set of rational numbers.
Module Three:
Reasoning Algebraically
Topic 1: Algebraic Expressions
Students explore algebraic expressions with rational coefficients. They apply the Distributive Property as a strategy to write equivalent expressions and to factor linear expressions. Students combine like terms, including like linear terms, and use properties of operations to add and subtract expressions.
Topic 2: Two-Step Equations and Inequalities
Students use bar models and double number lines to reason about and solve two-step linear equations. Then they use inverse operations to fluently and efficiently solve two-step equations with rational coefficients. Finally, students investigate, solve, and graph two-step inequalities.
Topic 3: Multiple Representations of Equations
Students use tables, graphs, verbal descriptions, and scenarios to write and analyze two-step linear equations and inequalities. They make connections across , interpreting graphs and equations in terms of the problem situation.
Module Four:
Analyzing Populations and Probabilities
Topic 1: Analyzing Populations and Probabilities
Students conduct probability experiments with familiar objects and determine the theoretical and experimental probabilities of simple events. They learn about using uniform and non-uniform probability models to organize the probabilities of the outcomes in a sample space. Students use proportional reasoning to predict expected frequencies of favorable outcomes in larger samples and to calculate the percent error between theoretical and experimental probabilities. They also use simulation with a variety of tools to simulate the results of experiments.
Topic 2: Compound Probability
Students use arrays, lists, and tree diagrams to organize the possible outcomes of an experiment. They create probability models, calculate experimental and theoretical probabilities of events, and use proportional reasoning to determine percent error and to make predictions of expected numbers of outcomes. Then students learn about compound events that use the conjunctions “and” and “or.” Students then design and conduct simulations for three compound probability problems.
Topic 3: Drawing Inferences
Students use random samples to collect representative data from a specified population. They use the results of the sample and proportional reasoning to estimate population parameters. Then students use data displays and measures of center and variation to compare populations and random samples to draw inferences about populations or to compare two populations.
Module Five:
Constructing and Measuring
Topic 1: Angles and Triangle
Students learn about formal constructions and use construction tools to duplicate segments and angles. Students explore and use different pairs of angles including supplementary angles, complementary angles, vertical , and adjacent angles. Finally, students use both patty paper and formal construction tools to determine if given information defines a unique triangle, multiple triangles, or no triangles.
Topic 2: Three-Dimensional Figure
Students create and describe cross-sections of right rectangular prisms and right rectangular pyramids. They determine the areas of regular polygons through decomposition. Then, they calculate the volumes and surface areas of right prisms and pyramids.