Course Description: NC Math 3 Honors is a course that will include topics from geometry, algebra, statistics and trigonometry. It is the third course in the Common Core series of mathematics—at the honors level, the expectation is that students are fluent with the topics presented in Math 1 and 2. The course will utilize teacher vetted resources and the Mathematics Vision Project to solidify skills and concepts. At the end of the semester, all math 3 students in North Carolina take an End-Of-Course Test (EOC).
Learning Management System: The learning management system for this course is Canvas. Students should be automatically signed up for the course and NC Math 3 Honors should show up on their Dashboard. Students should sign-in to the WakeID Portal and access Canvas and other applications from there with their single sign-on.The Canvas site will house all assignments and MVP resources that we will use during this course.
Electronics and Other Websites:
· Laptop/Desktop/Chromebook – While a smart phone will be helpful, a larger screen as well as navigation through non-mobile versions will be best.
· TI-83+ / TI-84+ Calculator – most students should have access to one of these as they were used previously in Math I and Math II. While there are other online graphing calculator options, it is important that students get used to the functions and how to use theses calculators as these are the ones allowed on standardized exams such as ACT, SAT, and AP Exams. Calculators will not be used every day but will be critical for some units and exercises.
· DeltaMath – Use teacher code 653530 and join the appropriate course
· Desmos
· We will use additional websites such as desmos.com. Many of these sites have “sign-in with Google” capabilities that allow you to quickly register with your WCPSS email.
Other Supplies: While there will be work that is completed online, other supplies needed include:
· Blank or lined paper (can be loose leaf or in a spiral / composition book)
· Graph paper
· Pencils
· Colored Pencils
**All worksheets and MVP workbooks will be available on Canvas. Students may print these on their own if desired but it is not required. If not printing, students are expected to either write all work on separate paper (numbered clearly and NEAT) or to do this digitally and save all work as pdfs to submit on Canvas.
Class Expectations:
· Students should expect to get homework and/or classwork daily. While it may be possible that it is completed during instruction, often students will need to complete the assignment for the next day. Homework and classwork are assigned to give students the opportunity to practice and gain mastery of skills taught in the unit. Some of these assignments will be completed online while others will be submitted electronically such as a scan of their handwritten work or video of them explaining their work. If not being completed online in another application, the submission will occur on Canvas.
· Students should check Canvas DAILY for updated assignments.
· During the first two days of class, we will establish and post the norms for the class.
· Assessments will typically be timed. I expect students to show integrity throughout this course on all assignments – copying another person’s work and/or copying solutions from websites or applications is considered falsifying your work and cheating. If that is in question, students may be asked to complete an alternative assignment to demonstrate mastery.
Units Covered and Essential Outcomes (not necessarily taught in this order):
· Unit 1: More Functions, More Features
o Students will be able to (SWBAT) Identify key characteristics/features of functions and use interval notation to describe them.
o SWBAT graph and interpret piecewise functions
o SWBAT graph and solve absolute value equations and inequalities
· Unit 2: Polynomial Functions
o SWBAT identify key features of polynomial functions from graphs, tables, and factored form of functions.
o SWBAT create polynomial functions from key features such as zeros and a point on the graph.
o SWBAT divide polynomial expressions and find factors
o SWBAT determine the end behavior of polynomial functions.
o SWBAT solve polynomial equations graphically and algebraically
· Unit 3: Rational Expressions and Functions
o SWBAT graph a rational function and identify key features such as zeros, asymptotes, and end behavior
o SWBAT use graphs, tables, and factored form of rational functions to determine the key features
o SWBAT factor and simplify a rational function
o SWBAT add, subtract, multiply, and divide two rational expressions
o SWBAT solve rational equations and identify and extraneous solutions of a rational equation
· Unit 4: Modeling with Geometry
o SWBAT find the volume and surface area of foundational and composite shapes
o SWBAT use volume formulas to solve problems
o SWBAT model real-world situation using volume and surface area.
o SWBAT visualize cross-sections of three-dimensional objects
· Unit 5: Geometric Figures and Proof
o SWBAT prove and understand properties of parallelograms
o SWBAT construct and understand centers of triangles
o SWBAT understand and solve problems with medians, angle bisectors and perpendicular bisectors.
o SWBAT use logical reasoning to prove geometric relationships
· Unit 6: Circles: A Geometric Perspective
o SWBAT understand and use the terms central angle, arc measure, arc length and inscribed angles
o SWBAT determine the relationship between angles (central, inscribed, circumscribed) and their arcs
o SWBAT use the terms and understand the relationships of segment lengths in circles.
o SWBAT calculate arc length and area of sectors.
o SWBAT derive the equation of circle.
o SWBAT able to complete the square to find the center and radius of a circle
o SWBAT write the equation of a circle given key characteristics
· Unit 7: Modeling Periodic Behavior
o SWBAT convert between degrees and radians
o SWBAT use radians for measuring angles in a circle.
o SWBAT connect and extend properties of right triangle trigonometry to circular trigonometry
o SWBAT use a sine function to model circular / periodic behavior
o SWBAT define sine and cosine on the unit circle in terms of angle of rotation
o Model horizontal shift of a trig function
· Unit 8: Inverses and Exponential Functions
o SWBAT use tables, graphs, and equations to model inverse functions
o SWBAT extend concepts of inverse to quadratic functions and determine if the inverse is a function in a given domain.
o SWBAT extend concepts of inverse to exponential functions to understand the concept of logarithms
o SWBAT evaluate and compare logarithmic expressions
o SWBAT find inverse functions and verify two functions are inverses.
o SWBAT solve exponential equations and inequalities both graphically and algebraically
o SWBAT solve problems of compound interest and exponential growth or decay.
· Unit 9: Statistics
o SWBAT to understand the need for randomization in different types of studies (observational, sample survey, experiment)
o SWBAT to understand different types of samples and possible biases
o SWBAT to determine types of conclusion that can be drawn based on study design
o SWBAT identify populations of interest and parameters of interest
o SWBAT use simulations to estimate population parameters and margins of error.
o SWBAT to use the relationship between sample size and margin of error
o SWBAT use simulations to connect differences in sample statistics to differences in populations
o SWBAT apply knowledge of statistics to real-world questions/problems.
Grading Information
A: 90-100
B: 80-89
C: 70-79
D: 60-69
F: Below 60
Grading Scale:
Grading Categories and Weights for Quarter Grade Calculations
Tests – 40%
Quizzes – 35%
Classwork – 15%
Homework – 10%
Course Grade Calculation (assuming EOC / Final)
1st Quarter – 40%
2nd Quarter – 40%
EOC/Final – 20%
Make-up and Late Work Policies
Late work due to an excused absence will follow the WCPSS make up work policy: Assignments assigned prior to an absence will be due upon return; this includes tests scheduled for the day of the return.
If the make-up work has not been assigned in advance, for absences of 1 to 3 days, the student will have a minimum of 1 day for each absence to complete missed assignments. For absences exceeding 3 days, the student will have a minimum of 2 days for each absence to complete assignments. Students will receive full credit for all make-up work following an excused or unexcused absence as long as the work is completed within the time limit according to teacher expectations and for unexcused absences as long as remediation has been attended to complete the assignment. Special consideration should be given in the case of extended absences due to injury or chronic illness.
Late work is due by interims for assignments given in the first part of the quarter and by one week prior to the end of the quarter if assigned after interims for a maximum of a 70. No late work will be accepted for credit after this time. Exact dates will be communicated for each quarter.
Retest Policy: Per school policy, students who make below an 80 on a Unit Test can take a retest for a maximum score of 80. In order to retest, students must request retest within one week of returned test using form provided, have completed and turned in ALL assignments for the unit (including the review assignment), and remediate before taking the retest with required assignments and/or time with me.
Tests missed due to absence should be made up as soon as possible and no later than 1 week of the original test date. After that time, students are not allowed to take the original test anymore and will receive a 0 for that test. Students will be allowed to then retest with a maximum score of 80%.
WCPSS Honor Code Policy
Honor Code Policy (4310) states: “Academic honesty is essential to excellence in education and is directly related to the Board's educational objectives for students to promote integrity and self-discipline in students. As all schoolwork is a measure of student performance, academic honesty facilitates an accurate measurement of student learning.
Each student, parent, family and staff member has a responsibility to promote a culture that respects and fosters integrity and honesty. Academic integrity and honesty requires that all stakeholders share responsibility in the fulfillment of this policy.
In fulfilling these responsibilities:
· students will collaborate with their peers to foster a culture of academic integrity; refrain from participating, either directly or indirectly, in any form of cheating or plagiarism; and adhere to the honor code;
· parents and family will actively support the honor code by encouraging their child(ren) to foster and uphold a culture of academic integrity;
· staff will establish and annually teach expectations regarding academic integrity and honesty; and promote the honor code.
Prohibited Behavior
1. Cheating: Cheating is an academic deception where a student intends in some way to receive or attempt to receive credit for work not originated by the student, to give or receive unauthorized assistance, or to give or receive an unfair advantage on any form of academic work. This includes going to websites and looking at resources during assessments beyond the assessment itself and copying solutions from websites and applications.
2. Plagiarism: Plagiarism is using passages, materials, words, ideas, and/or thoughts of someone or something else and representing them as one's own original work without properly crediting the source.
3. Falsification or Deceit: Intentional acts of falsification or serious deceitful misconduct that threaten the health, safety, or welfare of others, or that cause a substantial detrimental impact on school operations or other individuals are prohibited.