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Pre-Algebra Syllabus 2016-2017 Mrs. Annie Moris [email protected] Ms. Jamie Pizzola [email protected] Course Overview and Objectives We will be using the Pre- Algebra Glencoe McGraw-Hill textbook to learn the concepts outlined in the Common Core Standards. Pre Algebra is designed to begin the work of 7th grade Mathematics with a focus on preparation for Algebra I. While it primarily focuses on 7th grade content, there may be a mingling of both 6th and 8th grade standards throughout. The course is designed for a full semester block. Common Core Standards that we will learn include: ● ● ● ● ● ● ● ● ● ● Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions. Apply and extend previous understandings 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. Pennsauken Public Schools 8 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. Solve linear equations in one variable. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). ● ● Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Essential Questions/Units/Topics Unit 1: Algebraic Operations Unit 1 Essential Questions: Lessons to Cover Pacing Chapters 1 & 2 Approximately 12 Days Benchmark 1 Approximately 2 Days Chapter 3 Approximately 7 Days Benchmark 2 Approximately 2 Days Why is it useful to translate verbal phrases into algebraic expressions? How can a number line be used to solve problems involving positive and negative integers? Unit 2: Algebraic Expressions, Equations, and Inequalities Unit 2 Essential Questions Chapter 4 Approximately 8 Days Benchmark 3 Approximately 2 Days Chapter 5 Approximately 7 Days Benchmark 4 Approximately 2 Days How do algebraic rules and patterns assist in solving equations and simplifying expressions? How are equations and inequalities used to solve real world problems? Unit 3: Ratio, Proportion, and Percent Chapter 6 Approximately 8 Days Benchmark 5 Approximately 2 Days Chapter 7 Approximately 10 Days Benchmark 6 Approximately 2 Days Unit 3 Essential Questions How are ratios, proportions, and scale drawings used in the real world? How are percents, decimals, and fractions related? Unit 4: Geometry Unit 4 Essential Questions Chapter 11 Approximately 9 Days Benchmark 7 Approximately 2 Days Chapter 12 Approximately 9 Days Benchmark 8 Approximately 2 Days Why is it important to understand the properties of two-dimensional figures? Why are volumes and surface areas of threedimensional figures important in the real world? Grading Benchmarks (45% of your grade) * Benchmarks will be given at the end of every chapter as well as quarterly cumulative exams. Tests and Quizzes (15% of your grade) * Quizzes and Tests will be given periodically. Projects (20% of your grade) * Projects are your chance to apply the concepts we are learning in class to real world situations. Your grade will be based on your ability to work cooperatively and efficiently as well as your problem solving abilities. Classwork (10% of your grade) * Every day you are expected to participate and be on task during class. Classwork is based on the completion of daily in-class work including starter problems, notes, practice problems and discussions. Your work will all be done in your math journal. Your journal will be checked periodically. Homework (10% of your grade) * Homework will be assigned almost every day. It is due the following day at the start of class unless specifically announced otherwise. The purpose of homework is to practice the concepts introduced in class. It is most valuable when completed on time. GRADING SYSTEM Letter A AB+ B BC+ C CD+ D DF Number Value 94-100 90-93 87-89 84-86 80-83 77-79 74-76 70-73 67-69 64-66 60-63 59 or below Range 90-100 80-89 70-79 60-69 Classroom Expectations * Be prepared! Materials needed every day: pencil, math notebook, textbook, homework, binder, and your ambition to learn. * Be an active learner! Attempt every problem presented. Take responsibility for tackling new problems and ideas. Ask questions. Seek help when needed. * Be courteous and respectful. Work cooperatively with others and respect everyone’s right to learn. Be supportive and helpful to your classmates. * Follow Pennsauken’s School’s policies with regards to tardiness, electronics, gum and food and drink in the classroom. * Check Genesis grades on a regular basis. Absences * It is the student’s responsibility to make up all work in a timely manner. Homework will be posted on our websites, and you should check with either Mrs. Moris or Ms. Pizzola to see what you missed during class.