Entertaining 11 month old daughter

It sounds like you are after "active" activities...
Inside:
Make obstacle courses using pillows/cushions etc
Outside:
Go for very short walks in your neighbourhood and pickup sticks/look at rocks/flowers/bushes and trees/ wave at cars/ names cars, trucks, bikes, motorbiked
Go bird watching (@ home)
Make outdoor obstacle courses using items from nature (make sticks into a square on the ground and you have to walk around the outside etc)
Put some water in a bucket add a paint brush and you can paint on concrete/fences/bricks
Bring a few different sizes of plastic containers outside and use them for water play (fill one from another, tip from up high to make bubbles appear, make different sound with them etc

Do not discount the power of reading books, there are so many lovely interactive books and books can be read anywhere, anytime so outside on the steps, on a picnic rug in the backyard etc.

Also look up some of the old style rhymes like row row row your boat, make it so that they are interactive and again these can be done inside or out.

Hope this gives you a few ideas...