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Academic Year Mathematics
Math Level 1Math Level 2Math Level 3Math Level 4Math Level 5PrealgebraAlgebra 1GeometryAlgebra 2PrecalculusCalculusMiddle School Contest MathHigh School Contest Math
Academic Year Science
Science Level 3Introductory Physics
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 2023-24

All times Eastern.

Saturday
10:15 – Noon
Aug. 26 – June 1
Dr. Sanggoo P. Lee
ENROLL
1 spot left
Sunday
2:45 – 4:30pm
Aug. 27 – June 2
Dennis Loo
WAITLIST
Monday
5:00 – 6:45pm
Aug. 28 – June 3
Dennis Loo
WAITLIST
Tuesday
7:15 – 9:00pm
Aug. 29 – May 28
Dr. Huaizhang Deng
ENROLL
4 spots left
Wednesday
5:00 – 6:45pm
Aug. 30 – June 5
Dr. Alessandra King
ENROLL
Friday
5:00 – 6:45pm
Sep. 1 – May 31
Vanita Murali
ENROLL
1 spot left
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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

Our family regularly talks about AoPS. We try to think about how our life would be different without you all. What if my daughter hadn't learned to love math? What if she never experienced being pushed to her limits? Overcoming failure? She wouldn't be who she is. And she is AWESOME! A very proud mom here. We are so fortunate that we found AoPS Academy. I credit AoPS for much of her confidence.

Kelly B.,

AoPS Academy parent to 16-year-old engineering major at UW and future cancer researcher