SAT Math Prep for Summer 2025
Teacher: Caleb Alons
Email: calebscottalonsmathematics@gmail.com
COURSE OVERVIEW:
The syllabus for this 0.5 credit course is provided below (email calebscottalonsmathematics@gmail.com to request a PDF copy of the Summer 2025 SAT Math Prep syllabus).
TUITION: $250
WHY THIS COURSE?
Unlike most mainstream SAT Math prep resources currently available online, this course was made completely from scratch. To curate which exercises to include, I sifted by hand through 6 years' worth of past SAT Math tests, solving each of the 810 exercises offered in this course so that I could accurately assess each exercise's problem-type. Each downloadable PDF provided in this course is organized as accurately as possible by topic and additionally arranged in chronological order, so that students gain not only problem-solving experience, but they will also essentially track the timeline of the frequency and relevance of various problem types per topic.
Syllabus for
SAT Math Prep
Summer 2025
I. COURSE DESCRIPTION
SAT Math Prep is a rigorous and fast-paced test prep course, aimed at equipping students with topic-by-topic mastery of SAT Math (also relevant for the PSAT). Students will practice by solving 810 former SAT Math problems that have been hand-sorted by topic into the 20 primary problem types found on the SAT Math test. With the College Board's relatively recent introduction (and predominance) of the digital SAT/PSAT, traditional SAT Math strategies have since evolved. To best equip students in light of these changes, this course teaches topical mastery as the optimal strategy, irrespective of one's former test experience or previous scores. Rather than being a remedial course, SAT Math Prep is purposefully designed to give students in the 550–650 range their best possible chance at an 800. Students should expect to spend 2–3 hours every weekday to keep up with the pace of the course and to achieve optimal results.
Prerequisite(s): This course assumes student mastery of Algebra 1, Algebra 2, and a decent familiarity with the fundamental concepts of Euclidean Geometry. Achieving a high SAT Math score implies familiarity with these prerequisites, so students unfamiliar with these prerequisites will encounter built-in struggle with the SAT Math test, and it is recommended to wait to take the SAT until the student has had the chance to encounter and learn the concepts in these courses. (Granted, it does not hurt to take early SAT's to build test experience, but as stated in the Course Description, SAT Math Prep is not a remedial course and is designed to equip students with the final push to an 800.)
II. STUDENT LEARNING OUTCOMES FOR THIS COURSES
A. COURSE OUTCOMES
After completing this course successfully, students will be able to quickly recognize and accurately solve the following SAT Math topics:
1. Linear Equations
2. Linear Equations from Word Problems
3. Equations of Lines
4. Systems of Equations
5. Systems of Equations from Word Problems
6. Inequalities
7. Exponents and Radicals
8. Manipulating Mathematical Expressions
9. Percents
10. Ratios and Proportions
11. Units of Measurement
12. Properties of Fundamental Functions
13. Angles
14. Geometry
15. Trigonometry
16. Line Graphs
17. Tables
18. Bar Graphs and Box Plots
19. Scatter Plots and Dot Plots
20. Probability and Statistics
B. GENERAL OUTCOMES
Students will develop the following skills that do not necessarily have restricted application to this course specifically:
1. Study discipline and mental toughness
2. Seeking help and offering help to peers
3. Collaborative learning
4. Increased proficiency in standardized math testing
III. TEXTBOOKS AND OTHER LEARNING RESOURCES
A. REQUIRED MATERIALS
1. Textbooks:
a. There is no required text for this course; all necessary course resources are provided by the instructor through the course website.
2. Other:
a. Access to the Internet to log onto the course website
B. OPTIONAL MATERIALS
1. Other:
a. A calculator that is approved by the College Board (see https://satsuite.collegeboard.org/sat/what-to-bring-do/calculator-policy).
IV. POLICIES AND PROCEDURES
A. COURSE POLICIES AND PROCEDURES
1. Attendance: SAT Math Prep does not have a live component. Instead, students will engage on the class website throughout the week with the instructor and their fellow peers as they progress through the course material. Students desiring additional help from the instructor need only reach out to the instructor via email.
2. Evaluation Procedures:
a. Weekly Homework Assignments:
Five topics are assigned each week. For each topic, the student must do the following:
Watch the assigned video(s): 1 point
Complete all the exercises in the topic: 4 points
___________________________________________
Expected Section Total: 5 points
Each item listed above is based on completion. Students will report their own completion scores per section by the Sunday of each week before 11:59 PM (EST). Since there are 20 total topics, the expected total is 100 points for the entire course.
b. Student Engagement:
Student engagement and peer collaboration is STRONGLY encouraged in this course. Students will have access to the course website to post questions and to help answer the questions of their peers.
c. Grading Scale:
A: 90–100 points
B: 80–89 points
C: 70–79 points
D: 60–69 points
F: 0–59 points
The end goal of this course is obviously for the student to perform well on the SAT Math test, so this grading scale is ultimately a metric for measuring student completion of the course material to indicate a certain level of preparedness. The higher the course grade, the better chances the student has at a higher and improved score.
V. COURSE CALENDAR
Note on Due Dates:
Completion scores for assigned sections will ALWAYS be due by the Sunday of their assigned week at 11:59 PM (EST).
Please email calebscottalonsmathematics@gmail.com if you would like a PDF copy of the syllabus.
SUMMER 2025
Week 1 (Jul 14–20): Solving Equations
1. Linear Equations
2. Linear Equations from Word Problems
3. Equations of Lines
4. Systems of Equations
5. Systems of Equations from Word Problems
SUBMIT COMPLETION SCORES
Week 2 (Jul 21–27): Topics in Algebra 1
6. Inequalities
7. Exponents and Radicals
8. Manipulating Mathematical Expressions
9. Percents
10. Ratios and Proportions
SUBMIT COMPLETION SCORES
Week 3 (Jul 28–Aug 3): Topics in Algebra 2 and Geometry
11. Units of Measurement
12. Properties of Fundamental Functions
13. Angles
14. Geometry
15. Trigonometry
SUBMIT COMPLETION SCORES
Week 4 (Aug 4–10): Applied Mathematics – Data Analysis and Modeling
16. Line Graphs
17. Tables
18. Bar Graphs and Box Plots
19. Scatter Plots and Dot Plots
20. Probability and Statistics
SUBMIT COMPLETION SCORES
VI. INSTRUCTOR QUALIFICATIONS
Caleb Scott Alons will receive his B.S. in Mathematics in May 2025. Caleb is a returning AP Homeschoolers instructor, having previously taught two years of supplementary and preparatory summer courses in both mathematics and science. After developing a love for teaching mathematics, Caleb started professionally tutoring mathematics in 2020 and has been an assistant lecturer at Oral Roberts University for the past four years, teaching several hundred students in Calculus I/II/III, Vector Calculus, Differential Equations, Discrete Mathematics, Linear & Matrix Algebra, Abstract Algebra, Real Analysis, General (Point-Set) Topology, and Algebraic Topology. In his undergrad, Caleb led as president the KME Honors Mathematical Society and Association of Computing Machinery in addition to being an active participant in the Mathematical Association of America, presenting award-winning research in MAA sectionals and the MAKO UG Research Conference. Caleb also scored three consecutive years in the William Lowell Putnam Mathematical Competition, which is esteemed as the hardest UG mathematical exam in the world.
As someone who formerly struggled with mathematics in high school himself, Caleb is deeply invested in seeing every student succeed no matter the circumstances and has personally tutored many students with learning disabilities to help them achieve 5's on AP Calculus AB/BC, score above the 90th percentile on the PSAT/SAT/ACT math tests, and rank in the top 5% of their university math courses. Ultimately, teaching mathematics is a source of great joy for Caleb, and he delights in serving each student under his instruction.
The teacher is the servant of his students. – CSA