Syllabus
Algebra 1
Hayden Catholic High School
SY 2020-2021
Instructor: Primo Josef Arbon: arbonp@haydencatholic.net
(Planning entails flexibility, any changes of the course will be addressed by the teacher to the students)
Prerequisite: Placement Test and approval of math department
1 credit (9)
DESCRIPTION: This course is designed in part to prepare students for admission to a university and their future career. This course covers expressions, functions, linear equations, linear and nonlinear functions, equations of linear functions, linear inequalities, systems of linear equations and inequalities, exponents and exponential functions, polynomials, quadratic functions and equations and statistics. In mathematics, we will look at the mathematical beauty of God’s creation. We will integrate mathematical concepts and service projects into our Christian school and community.
Learning Goals/Intentions: The students are expected to…
Chapter 0 - Preparing for Algebra
The concepts presented in Chapter 0 are review from previous courses. The lesson
of the chapter is used to refresh students’ skills and prior knowledge. This chapter
is to reinforce prerequisite skills as the course's progress through the program.
use the four-step problem solving plan to analyze and solve real-world problems.
graph real numbers to equations and inequalities.
evaluate expressions and solve equations that involve operations with integers.
evaluate expressions and solve equations that involve the four operations.
represent and solve perimeter, volume, surface area using polynomials.
solve the probability of compound events and use permutations and combinations
to solve probabilities.
Chapter 1 - Expressions and Functions
This chapter focuses on content from the Seeing Structure in Expressions,
Interpreting Functions and The Real Number System domains.
interpret expressions that represent a quantity in terms of content.
understand that a function one set(domain) to another set(range) assigns to each element of the domain exactly one element of the range.
interpret parts of an expression, such as terms, factors and coefficients.
use the structure of an expression to identify ways to rewrite it.
define appropriate quantities for the purpose of descriptive modeling.
choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane. Often forming a curve.
decide whether relations represented verbally, tabularly, graphically and symbolically define a function.
compare properties of two functions each represented in a different way.
Chapter 2 - Linear Equations
This chapter focuses on content from the Creating Equations and Reasoning with
Equations and Inequalities domains.
create equations and inequalities in one variable and use them to solve problems.
solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution.
construct a viable argument to a solution method.
Chapter 3 - Linear and Nonlinear Functions
This chapter focuses on content from the Creating Equations and Interpreting
Functions domains.
create equations in two or more variables to represent relationships between quantities.
graph equations on coordinate axes with labels and scales.
interpret Key features of graphs and tables in terms of the quantities and sketch graphs showing key features given a verbal description of the relationship, for a function that models a relationship between two quantities.
calculate and interpret the average rate of change of a function over a specified interval.
estimate the rate of change from a graph.
write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations and translate between two forms.
graph square root, cube root and piecewise-defined functions, including step functions and absolute value functions.
Chapter 4 - Equations of Linear Functions
This chapter focuses on content from the Building Functions, Linear, Quadratic and
Exponential Models, and Interpreting Categorical and Quantitative Data domains.
write a function that describes a relationship between two quantities.
find and solve the inverse functions.
interpret the parameters in a linear or exponential function in terms of context.
represent data on two quantitative variables on a scatter plot and describe how the variables related.
distinguish between correlation and causation.
Chapter 5 - Solving Inequalities by Addition and Subtraction
This chapter focuses on content from the Creating Equations and Reasoning with
Equations and Inequalities domains.
create equations and inequalities in one variable and use them to solve problems.
solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
graph the solutions to a linear inequality in two variables as a half-plane, and graph the solution to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Chapter 6 - Systems of Linear Equations and Inequalities
This chapter focuses on content form the Creating Equations and Reasoning with
Equations and Inequalities.
create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
represent constraints by equations or inequalities and systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
solve systems of linear equations exactly and approximately (with graphs), focusing on pairs of linear equations in two variables.
Chapter 7 - Exponents and Exponential Functions
This chapter focuses on content from Functions, The Real Number System, Linear
and Quadratic, Exponential Model domains.
graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs.
interpret the parameters in a linear or exponential function in terms of context.
rewrite expressions involving radicals and rational exponents using the properties of exponents.
recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
Chapter 8 - Polynomials
This chapter focuses on content from Arithmetic with Polynomials and Rational
Expressions and the Seeing Structure in Expressions domains.
use the structure of an expression to identify ways to rewrite it.
understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract and multiply polynomials.
factor a quadratic expression to reveal the zeros of the function it defines.
Chapter 9 - Quadratic Functions and Equations
This chapter focuses on content from Interpreting Functions and the Seeing
Structure in Expressions domains.
graph linear and quadratic functions and show intercepts, maxima, and minima.
solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula, and factoring.
calculate and interpret the average rate of change of a function over a specified interval.
estimate the rate of change from a given graph.
create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
Chapter 10 - Statistics
This chapter focuses on content from the Interpreting Categorical and Quantitative
Data and Quantities domains.
represent data with plots on the real number line (dot plots, histograms and box plots).
use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data(including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
Text/Authors: Algebra I, Glencoe-McGraw-Hill, 2018.
John A. Carter; Ph.D - Mathematics Teacher
Gilbert J. Cuevas; Ph.D. - Professor of Mathematics
Roger Day, Ph.D. - Mathematics Teacher
Carol Malloy, Ph.D. - Mathematics Educator
Berchie Holliday . Ed.D. - National Mathematics Consultant
Beatrice Moore Luchin - Mathematics Consultant
Dinah Zike - Educational Consultant
Jay McTighe - Educational Consultant
MATERIALS: 1) Book, 2) 3-ring binder with notebook paper or a notebook with a folder, 3) pencils, 4) graph paper and 5) a scientific calculator.
GRADING SCALE: Grades are reported as letter grades. The following grading scale is used:
100-92% A
91-84% B
83-75% C
74-67% D
Below 67% Failing
GRADING PROCEDURE
The grade for each student will be calculated as follows:
30% Quizzes
20% Homework/Assignments 85% Semester average
50% Assessments/Test *15% semester final exam
*At this time we are expecting to give a semester final, but please be aware that this may change.
QUIZZES (30%)
Quizzes will count as 30% of your grade. All quizzes will be announced in advance. If you are absent on the day of a quiz, it is your responsibility to set up a time to make-up the quiz within 2 days of your return to school. If this is not done the student will receive a zero on the quiz. If you are at school the day a quiz is announced but are not present for the review, you will still be expected to take the quiz as scheduled.
HOMEWORK/ASSIGNMENTS (20%)
You will be assigned homework frequently and are expected to do it on time whether we are in class or online. You will receive 4 points when it is completed satisfactorily and on time. You can obtain 3 points when your homework is completed and is late. However, all homework must be completed before each assessment in order to obtain points.
TEST/ASSESSMENTS (50%)
Tests and projects can be included in the assessment category. Make sure you are prepared and ready for the assessments when they are given. Tests and projects can be included in the assessment category. Retakes for quizzes and tests will be offered. The only time a student is eligible for a retake is if (s)he received a grade below 75%. The retake may only raise the grade to a maximum of 75%. Make sure you are prepared and ready for the assessments when they are given. (The retake policy may change if we are in a completely remote setting.)
CLASSROOM RULES: The student handbook will be followed. Please make sure to follow the general rules such as being in uniform (shirts tucked in, uniform jackets, etc), following directions, bringing necessary materials to class, and being respectful of others. Treat others as Christ would treat each one of you. The tardy policy in the handbook will be enforced.
When these rules are broken the following consequences will take place: 1st infraction you will get a warning and after the 1st infraction you will get a discipline referral.
Policies
All homework assignments, quizzes, and exams must be done in pencil in order to receive credit.
Retests for quizzes and exams will be offered, but they must be completed by the student before or after school. Class time will not be allowed to make up any tests or quizzes. A student may only take a retest if ALL homework is completed and turned in on time.
The only time a student is eligible for a quiz retake is if (s)he received a grade below a 75%. The retake may only raise your grade to a maximum of 75%. For example, if a student gets a 56% on a quiz, a 90% on the requiz, (s)he will receive a final grade of 75%.
The only time a student is eligible for a test retake is if they score below a 75%, the same policy as quiz retakes will be followed.
Quiz retakes will only be given until the day of the chapter test. Test retakes must be taken within a week of when the tests are handed back.
All quizzes and exams will be graded by the teacher and returned to the student as soon as possible.
Homework will be checked by the student at the beginning of the class period when it is due. Homework will be due the class period after it is assigned. All late homework is due by the end of the chapter in which it is assigned.
Homework will be graded on a four point system at the beginning of class. A student will only receive full credit for an assignment only if the assignment is completed
Homework quizzes will be given periodically. These quizzes will count as the homework grade for the assignment and will consist of copying answers to homework problems.
If a student has an excused absence from class, (s)he will have one day per class missed to make up the homework.
Should there be a teacher error or oversight, it is absolutely imperative that the student keeps all homework assignments. Mr. Arbon will keep all of the quizzes and exams
Please make sure that if you have a cell phone it stays in your locker or book bag during class. Do not have them out or in your pocket or I will keep it until the end of class. If it continues to be a problem, I will contact your parents/guardian. All book bags/purses will be required to be at the back of the room when we have quizzes or tests. Your cell phone and smart watches will need to be in your bag too. Thank you.