Melrose High School Syllabus

Department: Math Course Number & Title: 228 Algebra 2 CP

Course Description: Students are expected to use their mathematical knowledge to make sense of problems and persevere in solving them, model with mathematics, use appropriate tools strategically, attend to precision, look for and make use of structure, and look for and express regularity in repeated reasoning. Students are expected to build fluency with dividing polynomials with remainder by inspection in simple cases by restructuring rational expressions. Students will see structure in expressions and use this structure to rewrite expressions in everything from advanced factory (e.g. grouping) to summing series to the rewriting of rational expressions to examine the end behavior of corresponding rational function. Students are expected to build fluency in translating between recursive definitions and closed forms when dealing with many problems involving sequences and series and with applications ranging from filling functions to tables to problems in finance. Students are expected to choose and use appropriate mathematics and statistics to analyze empirical situations, to understand them better, and to improve decisions. Students are expected to complete 4 open responses and 4 core assignments. Curriculum for this course requires 2-3 hours a week of independent practice such as homework, reading and projects. Graphing calculators are required in this class.

MHS Learning Expectations:  Students will demonstrate the ability to use technology responsibly and effectively.  Students will demonstrate the ability to problem solve effectively.  Demonstrate the ability to read effectively.  Demonstrate the ability to communicate effectively.

Essential Questions: ● What is a function and what are its characteristics? ● How can different representations of functions be created? ● How can functions be used to represent and interpret real world scenarios?

Students will know: Students will be able to: ● A function is a relationship between variables,● Solve different types of equations in which each value of the input variable is ● Write different types of functions for associated with a unique value of the output numerical and real world scenarios variable. ● Use the graphing calculator to graph, solve, ● The order of transformations of a function is a and analyze functions horizontal shift, then a reflection over x ● Use functions that model real world scenarios and/or y, then a vertical shift. to make estimates or predictions about future ● Functions can be represented using a story, occurrences graph, equation, and/or table. ● Factor polynomials using a variety of ● The domain of a function is the set of all techniques inputs that have a real number output. ● Convert between logarithmic and exponential ● The range of a function is the set of all functions outputs of a function Course Outline: Semester One Semester Two 1. Foundations of a Function 1. Radical Functions 2. Quadratic Functions 2. Exponential/Logarithmic Functions 3. Polynomial Functions 3. Linear Programming 4. Rational Functions 4. Sequences 5. Probability and Statistics

Primary Course Materials: • -Pencils with erasers • -Graphing Calculator (TI-84 or TI-84+) • -3-ring binder with 4 dividers and lined paper (sections for notes/handouts, homework, tests/quizzes, calculator notes) • -Charles, R.I. et al, Algebra 2 Common Core, Pearson, 2015. • Textbook Replacement Cost: $90

Grade Determination: 65% Assessments (i.e. tests, quizzes) 25% Exploratory (i.e. homework, effort, openers, closers, writing prompts, computer lab notes & write-ups, problem sets) 10% Performance Tasks (i.e. open response questions & core assignments)

Major Assignments: The major assignments for this course include: 4 Open Responses, 4 Core Assignments, Midyear and Final exam.

Midyear & Final Exams: Midyear and Final Exams will be given. These exams count as 10% of the respective semester grade. The average of the first and second quarter grades will count 90% in determining the first semester average. Similarly, the second semester average will include the average of third and fourth quarter grades at 90% and final exam at 10%. The average for the entire year will be the average of both semesters. Q1 = 22.5% Q2 = 22.5% Midterm = 5% Q3 = 22.5% Q4 = 22.5% Final = 5%

Class Expectations:  Make sense of problems and persevere in solving them.  Use teacher support, peer support, and technological support to explore and deepen math understanding.  Look for and express regularity in repeated reasoning to analyze the most efficient way to solve a problem.  Recognize math in everyday life and use math to solve problems.