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Academic Year Mathematics
Math Level 2Math Level 3Math Level 4Math Level 5PrealgebraAlgebra 1GeometryAlgebra 2PrecalculusCalculusMiddle School Contest MathHigh School Contest Math
Academic Year Science
Intro to Mechanics
Academic Year Language Arts
Language Arts Level 2Language Arts Level 3Language Arts Level 4Language Arts Level 5Foundations MS LARhetoricExpositionAdvanced Language Arts Seminar
Summer Mathematics
Math Beasts Camp 2Math Beasts Camp 3Math Beasts Camp 4Math Beasts Camp 5Math Beasts Camp 6Math Beasts Camp 7-8Math Beasts Camp 8-9MS Contests Number Theory/GeometryMS Contests Algebra/CountingHigh School Math Contests
Summer Science
Waves and Sound 5-6
Summer Language Arts
Creative Writing 3-4Readers Theater 4-5Language Arts Triathlon 5-6Mythology 6-7Mock Trial 7-8Academic Essay Writing 8-10
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Algebra 1

Academic Year Mathematics

In Algebra 1, students engage with various expressions from an algebraic and geometric perspective. They learn to solve linear and quadratic equations as well as how to represent expressions in the Cartesian plane. Students are imbued with a deep understanding of the general concept behind functions and are introduced to several important types of functions. Students are also introduced to the rich field of complex numbers. As with previous courses, we continue to emphasize challenging word problems to train students how to apply their new tools. Advanced problems from contests such as MATHCOUNTS, AMC 8, and AMC 10 are included throughout the course.

Homework and exams

Students should expect to spend 1-3 hours on homework every week. Homework will be assigned and completed through the class website, where students receive immediate feedback on their work. Students will take three in-class exams throughout the course.

Textbook

The textbook for the course is Introduction to Algebra by Art of Problem Solving.

Hardcopy and lifetime digital access to the online version of the textbook are included in the tuition and fees of this course.

Syllabus

Schedule in 2022-23

All times Eastern.

Saturday
10:15 – Noon
Aug. 20, 2022 – June 10, 2023
Dr. Yijia Zhao
ENROLL
5 spots left
Saturday
2:45 – 4:30pm
Aug. 20, 2022 – June 10, 2023
Kevin Quigley
ENROLL
5 spots left
Sunday
10:15 – Noon
Aug. 21, 2022 – June 18, 2023
Dr. Sanggoo P. Lee
ENROLL
5 spots left
Monday
7:15 – 9:00pm
Aug. 22, 2022 – June 12, 2023
Dennis Loo
WAITLIST
Wednesday
7:15 – 9:00pm
Aug. 24, 2022 – May 31, 2023
Dr. Alessandra King
ENROLL
Thursday
5:00 – 6:45pm
Aug. 25, 2022 – June 1, 2023
Dennis Loo
ENROLL
1 spot left
Sample Problems

Below are examples of some of the types of problems that students will encounter in our Algebra 1 course.

Problem 0
Problem 1
Problem 2
Problem 3
Problem 4
Problem 6
Problem 7
Problem 9
Problem 10
Problem 11
Problem 12

AoPS Academy has provided a wonderful opportunity for my children to advance and hone their knowledge and skills in mathematics.  My children have attended for a few years now, and they love it. They always look forward to attending class. I truly admire the hard work and dedication of all of the staff towards making AoPS Academy a center of excellence for math and language arts.  Both of my sons, one in high school and one in middle school, are ahead of their schoolmates in their math classes.  Not only that, they have both developed a love for this subject aided by the exposure they have received at AoPS Academy. They enjoy the interactive method of teaching, and look forward to their classes. The courses offered at AoPS Academy keep them engaged and challenged. The focus on high achieving students, along with their selective admissions standards, helps to maintain high standards. I have many business associates and friends around the United States, and have told them about AoPS Academy. They are so envious that we have such a wonderful opportunity for such rigorous instruction with the Art of Problem Solving world class curriculum. I look forward to the day when there will be an AoPS Academy in every major city in the country.

Sumali S.