When you think about Monopoly, what do you think of? Aside from thinking the name Bill Gates (hahaha) I first I think of weekends playing with my family as a kid. Sometimes games would go on for days and there was rarely ever a time limit on games growing up in my house. A game starting on Friday night, could easily go off and on throughout the weekend, usually with my dad finally winning. He would drag it out though and make us kids believe we had a chance. I didn't think of then as the game as learning.
Now as a homeschooling parent I encourage days of board games in lieu of reading, writing, and math. There are days where we will just sit on the floor as a family interacting with each other, building family bonds, using math skills as the banker, deductive skills in which property to buy, and just having fun with monopoly.
At the age of 5 we taught Tristan to play chess, and my reasoning was if he can play complex video games the boy should be able to play chess. I shouldn't have to state what the learning properties of chess are - as they are obvious.... but the simple fact is, just because you homeschool doesn't mean you or your kids need to have a book or computer to learn.
Here are some ideas for boardgames and age groups that can help compliment your homeschooling efforts.
Younger Kids: (under 10)
Good Night Moon Game - ages 2-6 Great game for language and matching.
Buy It Right! - 7- 10 Counting, money, and budgeting
Guess Who - 4-12 - Guessing, deductive reasoning
You're Bugging Me! - 3-6 - Colors and Matching
Dino Dominoes - 4+ - Matching DINOSAURS :)
Blockus - 5+ (they have other variations of the game for older kids too) shapes, reasoning - like tetris but for multiple players.
Great States - 7-9 - States, geography, landmarks
Older Kids: (10 and older)
Carcasonne - 10+ Building, strategy
Balderdash - 10+ Creativity, imagination, vocabulary, and quick thinking
Risk- 11+ - Strategy
Scattergories- 9+ spelling, vocab, and creativity
Obscurity - 9+ - Words, spelling, and seek and find - like Boggle (kind of)
Cash Flow - 10+ Money in a more realistic sense than monopoly
Bananagrams - 7-14 - Word game (so spelling) that is quick, easy, and educational
Complete Family Friendly: (all ages 5+)
Monopoly - 5+ - Money, problem solving, budgeting
ANTI Monopoly :) - Free Market Concepts, Economics, and WAY FUN!
Scrabble - (Or the JR. version for the younger kids) Spelling and vocabulary
Tri-Words - Spelling
Lewis and Clark - History
Majong Dominoes - Matching and reasoning
You can also look at reviews for other games done by homeschooling families here.