SAT Mathematics Study Syllabus
Weeks 1-2: Algebra and Functions
Review of basic algebraic operations (addition, subtraction, multiplication, division).
Solving linear equations and inequalities.
Example: 2�+5=112x+5=11.
Graphing linear functions.
Example: �=3�+2y=3x+2.
Weeks 3-4: Quadratic and Exponential Equations
Factoring quadratic expressions.
Example: �2+5�+6=0x2+5x+6=0.
Solving quadratic equations using the quadratic formula.
Example: ��2+��+�=0ax2+bx+c=0.
Understanding exponential growth and decay.
Example: �=�0⋅(1+�)�P=P0⋅(1+r)t.
Weeks 5-6: Advanced Algebra and Functions
Systems of linear equations.
Example: 2�+3�=72x+3y=7, 4�−�=14x−y=1.
Rational and radical expressions.
Example: 2�+1x+12 and 16�16x.
Functions, including domain and range.
Example: �(�)=2�2−3�+1f(x)=2x2−3x+1.
Weeks 7-8: Geometry
Properties and relationships of angles, triangles, and quadrilaterals.
Example: Triangle angle sum theorem.
Area and perimeter of basic geometric shapes.
Example: Area of a rectangle or triangle.
Volume and surface area of 3D figures.
Example: Volume of a cylinder or sphere.
Weeks 9-10: Trigonometry and Data Analysis
, Trigonometric functions (sine, cosine, tangent) and their applications.
Example: Finding a missing angle in a right triangle.
Interpreting data in tables and graphs.
Example: Analyzing trends in a scatterplot.
Probability and statistics.
Example: Calculating the probability of an event.
Practice Tests and Review:
Take full-length practice tests under timed conditions.
Identify weak areas and review corresponding topics.
Use official SAT practice materials for realistic exam practice.
Tips for Success:
1. Understand the structure and format of the SAT math section.
2. Practice time management to ensure completion of all questions.
3. Utilize the process of elimination for multiple-choice questions.
4. Review your mistakes and learn from them.
5. Familiarize yourself with the types of questions typically asked in each topic.
Remember, consistent and focused practice is key. Adjust the study plan based on your progress and
dedicate more time to challenging areas. Good luck!
Weeks 11-12: Problem Solving Strategies and Review
Word Problems and Applications:
Practice translating word problems into mathematical equations.
Example: Work on problems involving rate, time, and distance.
SAT-Specific Strategies:
Learn strategies for the grid-in questions.
Example: Understand how to format numerical answers without multiple-choice
options.
Review and Reinforcement:
Devote time to comprehensive review of all topics covered.
Weeks 1-2: Algebra and Functions
Review of basic algebraic operations (addition, subtraction, multiplication, division).
Solving linear equations and inequalities.
Example: 2�+5=112x+5=11.
Graphing linear functions.
Example: �=3�+2y=3x+2.
Weeks 3-4: Quadratic and Exponential Equations
Factoring quadratic expressions.
Example: �2+5�+6=0x2+5x+6=0.
Solving quadratic equations using the quadratic formula.
Example: ��2+��+�=0ax2+bx+c=0.
Understanding exponential growth and decay.
Example: �=�0⋅(1+�)�P=P0⋅(1+r)t.
Weeks 5-6: Advanced Algebra and Functions
Systems of linear equations.
Example: 2�+3�=72x+3y=7, 4�−�=14x−y=1.
Rational and radical expressions.
Example: 2�+1x+12 and 16�16x.
Functions, including domain and range.
Example: �(�)=2�2−3�+1f(x)=2x2−3x+1.
Weeks 7-8: Geometry
Properties and relationships of angles, triangles, and quadrilaterals.
Example: Triangle angle sum theorem.
Area and perimeter of basic geometric shapes.
Example: Area of a rectangle or triangle.
Volume and surface area of 3D figures.
Example: Volume of a cylinder or sphere.
Weeks 9-10: Trigonometry and Data Analysis
, Trigonometric functions (sine, cosine, tangent) and their applications.
Example: Finding a missing angle in a right triangle.
Interpreting data in tables and graphs.
Example: Analyzing trends in a scatterplot.
Probability and statistics.
Example: Calculating the probability of an event.
Practice Tests and Review:
Take full-length practice tests under timed conditions.
Identify weak areas and review corresponding topics.
Use official SAT practice materials for realistic exam practice.
Tips for Success:
1. Understand the structure and format of the SAT math section.
2. Practice time management to ensure completion of all questions.
3. Utilize the process of elimination for multiple-choice questions.
4. Review your mistakes and learn from them.
5. Familiarize yourself with the types of questions typically asked in each topic.
Remember, consistent and focused practice is key. Adjust the study plan based on your progress and
dedicate more time to challenging areas. Good luck!
Weeks 11-12: Problem Solving Strategies and Review
Word Problems and Applications:
Practice translating word problems into mathematical equations.
Example: Work on problems involving rate, time, and distance.
SAT-Specific Strategies:
Learn strategies for the grid-in questions.
Example: Understand how to format numerical answers without multiple-choice
options.
Review and Reinforcement:
Devote time to comprehensive review of all topics covered.
