Art of Problem Solving

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Prealgebra

Academic Year Mathematics

Prealgebra begins by formalizing the rules of arithmetic that students learned in elementary school, building on a rigorous foundation as they move into algebra. We then survey a wide range of topics, including number theory, algebra, geometry, counting, statistics, and probability. Each topic is introduced with compelling problems, including many drawn from major national math contests such as MATHCOUNTS and AMC 8. We place special emphasis on challenging word problems 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 Prealgebra 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.

Schedule in 2023-24

All times Eastern.

Select Day of the Week

Only show open classes

Tuesday

4:30 – 6:15pm

Sep. 5 – June 4

Bertilla Sieben

WAITLIST

Tuesday

6:45 – 8:30pm

Sep. 5 – June 4

Olga Sen

ENROLL

4 spots left

Wednesday

4:30 – 6:15pm

Sep. 6 – June 5

Maureen Sikora

WAITLIST

Friday

4:30 – 6:15pm

Sep. 8 – June 7

Mitchell Fuhr

ENROLL

2 spots left

Saturday

10:15 – Noon

Sep. 9 – June 15

Sree Kumar

ENROLL

1 spot left

Saturday

2:45 – 4:30pm

Sep. 9 – June 15

Maureen Sikora

ENROLL

1 spot left

Sunday

12:30 – 2:15pm

Sep. 10 – June 16

Arlene Cohen

ENROLL

5 spots left

Sunday

2:45 – 4:30pm

Sep. 10 – June 16

Patrick Murray

ENROLL

1 spot left

Sunday

5:00 – 6:45pm

Sep. 10 – June 16

Mujtuba Yousufi

ENROLL

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Sample Problems

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

Problem 0

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

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