Students and Instructors are accountable for all information on the Course Syllabus. For further information regarding course and for course notes:
Google > ‘Mr. Samano’s Website’ > High School Mathematics Repository >
Textbook, Forms and Documents > 2018-2019 Math Models Notes Instructor Availability
Open availability in classroom if not teaching: 7:15 am – 3:15 pm.
For any other time, please schedule an appointment.
Course Description
This course is designed for seniors who have taken Integrated II or Geometry. It has a simple overview of number theory, algebra, geometry, statistics, and personal finance (taxes, interest, saving, investing, and spending), which will help students prepare for either college or the workplace due to the focus on real-life application of mathematics.
PREREQ: Integrated II or Geometry with a D or better, or Instructor/Counselor approval Course Focus
The course will focus on the 8 Mathematical Practices from the Common Core State Standards in learning mathematics (see below). The course will follow the Course Calendar as outlined below; it is important to note that deviations from the course schedule may occur as unplanned school and natural events may interfere.
Sections/content from the following chapters may be taught as time permits: Chapters 6 Polynomials, Quadratic Equations, and Quadratic Functions, Chapter 11 Probability, and Chapter 13 Logic.
8 Mathematical Practices
1. Make sense of problems and preserve in solving them 2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics
5. Use appropriate tools strategically 6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning Course Objectives and Student Learning Outcomes
The Course Objective is to provide students with the mathematical foundation necessary to be able to learn new concepts helpful to them as employees, citizens, and consumers.
Students completing this course are expected to acquire the ability and skills to:
A. Use Problem Solving Strategies
1. Use estimation, patterns, and organization.
2. Use inductive and deductive reasoning.
Course Syllabus Valentin H. Samano
NSD: Math Models M - F 7:15 am – 3:15 pm
NSD: Math 480 [email protected]
3. Recognize that many problems can be solved in multiple ways.
B. Work with Multiple Numeration Systems (not covered)
1. Convert a number from one base to another, including base two and base sixteen.
C. Solve and Graph Algebraic Equations 1. Solve linear equations.
2. Graph linear equations.
3. Solve linear equations containing fractions.
4. Identify equations with no solution or infinitely many solutions.
D. Use Statistics to Understand Data
1. Understand proper sampling techniques.
2. Organize data and display data with appropriate graphs.
3. Calculate and interpret measures of central tendency.
4. Calculate and interpret measures of dispersion.
5. Understand the parameters of the normal distribution.
6. Use the normal distribution to solve problems involving data.
7. Graph data using a scatter plot.
8. Understand correlation and regression.
E. Apply Mathematics to Personal Finance
1. Understand percent, sales tax, and discounts.
2. Understand and calculate income tax.
3. Calculate simple interest.
4. Calculate compound interest.
5. Solve problems involving annuities, stocks, and bonds.
6. Compute payments and interest costs for car loans, home mortgages, and credit cards.
F. Use Dimensional Analysis
1. Measure and convert units of length, area, volume, weight, and temperature in the metric and imperial systems.
G. Use Probability (partially covered)
1. Understand the Fundamental Counting Principle.
2. Solve problems using permutations and combinations.
3. Distinguish between combinations and permutations.
4. Compute probabilities.
Outcomes Assessment
The student learning outcomes will be assessed using homework/classwork, quizzes, tests, projects & a final course exam.
Grading Policy
Category Weight
Homework/Classwork 20%
Exams, Quizzes, Projects 70%
End of Course Exam
(EOC) 10%
TOTAL: 100%
Letter grades will be determined as follows:
A: 90-100%
B: 80-89%
C: 70-79%
D: 60-69%
F: 59% or below Textbooks and Required Materials
The textbook for the course is Math for your World, Second Edition, by Robert Blizter, 2016; it is recommended but not required. A scientific calculator is highly recommended but not required. Desmos Graphing App is recommended but not required.
Creation of a MyMathLab account is required for homework, quizzes and exams, your ebook, and many other useful resources. Create your account at
www.mymathlabforschool.com > register as student > enter course ID (below) > create
> follow directions.
Course ID samano08584 Methods of Delivery
Instruction will be in Room 124. Most instruction will be self-paced and student driven.
Students will move through the curriculum as outlined below by reading the e-textbook and course instructional slides during class as needed. Student will also review the tutorial videos available with their homework as needed. Students will then complete their homework/classwork assignments in order to be prepared for the exams. A section per day is to be covered.
Course Calendar
Week (tentative)
Topics and Tests (tentative)
1-3
Sec. 1.1 Inductive and Deductive Reasoning (A2)
Sec. 1.2 Estimation, Graphs and Mathematical Models (A1) Sec. 1.3 Problem Solving (A3)
Unit 1 Exam – Problem Solving & Critical Thinking
4-5
Sec. 2.1 Basic Set Concepts Sec. 2.2 Subsets
Sec. 2.3 Venn Diagrams and Set Operations
Sec. 2.4 Set Operations and Venn Diagrams with Three Sets Sec. 2.5 Survey Problems
Unit 2 Exam – Set Theory
6-9
Sec. 3.1 Number Theory: Prime and Composite Numbers Sec. 3.2 The Integers; Order of Operations
Sec. 3.3 The Rational Numbers Sec. 3.4 The Irrational Numbers Sec. 3.3 The Rational Numbers Sec. 3.4 The Irrational Numbers
Sec. 3.5 Real Numbers and Their Properties Sec. 3.6 Exponents and Scientific Notation Sec. 3.7 Arithmetic and Geometric Sequences
Unit 3 Exam – Number Theory & the Real Number System 10-12 Sec. 4.1 Algebraic Expressions and Formulas (C1)
Sec. 4.2 Linear Equations in One Variable (C1, C3, C4)
Sec. 4.3 Applications of Linear Equations Sec. 4.4 Modeling with Proportions (C3) Sec. 4.5 Modeling Using Variation (C3) Sec. 4.6 Linear Inequalities in One Variable Unit 4 Exam – Algebra: Equations & Inequalities
13-15 (week 16 - 20 are catch up days
as needed)
Sec. 5.1 Graphing and Functions (C2)
Sec. 5.2 Linear Functions and Their Graphs (C2)
Sec. 5.3 The Point-Slope Form of the Equation of a Line; Scatter Plots and Regression Lines (C2, D7, D8)
Sec. 5.4 Systems of Linear Equations in Two Variables
Unit 5 Exam – Algebra: Graphs, Functions, Linear Functions, &
Linear Systems
Semester 1 End Of Course Exam (EOC) – Strongly recommended:
Students who finish Semester 1 material should start Semester 2 material.
Not Covered
Sec. 6.1 Operations with Polynomials; Polynomial Functions Sec. 6.2 Factoring Polynomials
Sec. 6.3 Solving Quadratic Equations by Factoring
Sec. 6.4 Solving Quadratic Equations by the Square Root Property and the Quadratic Formula
Sec. 6.5 Quadratic functions and Their Graphs
Unit 6 Exam—Polynomials, Quadratic Equations, and Quadratic Functions
21-22
Sec. 7.1 Percent, Sales Tax, and Discounts (E1) Sec. 7.2 Income Tax (E2)
Sec. 7.3 Simple Interest (E3) Sec. 7.4 Compound Interest (E4)
Unit 7 Exam – Personal Finance: Taxes & Interest
23-24
Sec. 8.1 Annuities, Methods of Saving, and Investments (E5) Sec. 8.2 Cars (E6)
Sec. 8.3 The Cost of Home Ownership (E6) Sec. 8.4 Credit Cards (E6)
Unit 8 Exam – Personal Finance: Savings, Investing, & Spending
25-26
Sec. 9.1 Measuring Length; The Metric System (F1) Sec. 9.2 Measuring Area and Volume (F1)
Sec. 9.3 Measuring Weight and Temperature (F1) Unit 9 Exam – Measurements
27-29
Sec. 10.1 Plots, Lines, Planes, and Angles Sec. 10.2 Triangles
Sec. 10.3 Polygons, Perimeter, and Tessellations Sec. 10.4 Area and Circumference
Sec. 10.5 Volume
Sec. 10.6 Right Triangle Trigonometry
Sec. 10.7 Distance and Midpoint Formulas; Circles Unit 10 Exam – Geometry
31-32
Sec. 11.1 The Fundamental Counting Principle (G1) Sec. 11.2 Permutations (G2)
Sec. 11.3 Combinations (G2)
Sec. 11.4 Fundamentals of Probability (G4)
Unit 11 Exam – Counting Methods & Probability Theory
33-34 (week 35 - 37 are catch up days
as needed)
Sec. 12.1 Sampling, Frequency Distributions and Graphs (D1, D2) Sec. 12.2 Measures of Central Tendency (D3)
Sec. 12.3 Measures of Dispersion (D4) Sec. 12.4 The Normal Distribution (D5, D6) Unit 12 Exam- Statistics
Semester 2 End Of Course Exam (EOC)
Not Covered
Sec. 13.1 Statements, Negations, and Quantified Statements Sec. 13.2 Compound Statements and Connectives
Sec. 13.3 Truth Tables for Negation, Conjunction, and Disjunction Sec. 13.4 Truth Tables for the Conditional and the Bi-conditional Sec. 13.5 Equivalent Statements and Variations of Conditional Statements
Sec. 13.6 Arguments and Truth Tables Sec. 13.7 Arguments and Euler Diagrams Unit 13 Exam—Logic
Course Expectations
The following are expectations for success in this course:
All exams and quizzes should be kept for future study; exams and quizzes can be retaken 2 times with instructor permission until the end of the semester. New scores replace the old.
Most work is done at:www.mymathlabforschool.com.
Homework can be reworked with instructor permission until the end of the semester. All Policies and Procedures from the Nampa High School Student Handbook apply.
Snacking and drinking in class are NOT allowed. Drinks need to be in clear spill proof water bottle and contain only water. Wearing hoodies is not allowed.
Be in your seat and prepared to learn by the time the bell rings to avoid a tardy.
Make every attempt to attend all lessons. If you miss a lesson, it is your responsibility to catch yourself up. Attendance policy follows Nampa School District guidelines—familiarize yourself with them.
Cellphones in class are allowed for notes, homework, graphing and calculator abilities only. However, if this privilege is abused or is too distracting to your learning, cellphones will no longer be allowed in class for everyone. Abuse it;
everyone loses it. Cell phones on exams are strictly prohibited.
Behavioral Expectations
Every student has the right to a respectful learning environment. In order to provide this right to all students, students must take individual responsibility to conduct themselves in a mature and appropriate manner and will be held
accountable for their behavior. Students who disrupt the class or behave
inappropriately or disrespectfully, as determined by the instructor, may be asked to leave the classroom; however, you will always be asked once to correct your behavior (unless it’s serious enough to warrant otherwise). Your inappropriate behavior will be documented and parents or administration possibly notified.
If conduct continues to be an issue, students may be referred to Administration for further judicial action. The instructor may refuse to have the student in the classroom based on misbehavior, at which time, other means will be found to educate the student.
Any student who has witnessed or experienced a violation of the student code as outlined in class or the Nampa High School Student Handbook may contact any Administration or office staff in addition to the course instructor.
Academic Honesty:
All work submitted by a student must represent his or her own ideas, concepts, and current understanding. All material found during research must be correctly
documented to avoid plagiarism. Cheating or plagiarism in any form is unacceptable and violations may result in disciplinary action ranging from failure of the assignment to failure of the course. Repeated acts of academic dishonesty may have more severe institutional ramifications. The consequences for cheating in this class are listed below:
The student will be reported to Administration to apply the Academic Honesty policy as outline in the Nampa High School Faculty & Student Handbook.
The student will receive a “zero” for the assignment until the instructor, student, administration and parents have determined a reasonable resolution. The
resolution need not involve all the parties listed; it will be based on the gravity of the violation with the instructor’s direction and recommendation.
Emergency Procedures
Please see your Nampa High School Student Handbook policy and directions on the wall by the front door. The instructor will outline these procedures in class as well.
Affidavit of Syllabus as Contract
I _______________________ have read the course syllabus and understand the contents herein; and as such, I will strive to abide by its charter to the best of my abilities.
Disclaimer: Any content herein may be adapted or adjusted as needed by the instructor for educational purposes and “what is in the best interest for the student” with or without notice. However, an attempt at a notice will always be given.
