Join your local library: Most libraries have special summer literacy contest and programs to keep children engaged and excited about reading.  They are free and easy to participate in.  Many libraries also give prizes and other incentives to children who read a certain amount of hours per week.

Kitchen Help: Allow your child to assist you in the kitchen. Younger children can help by measuring ingredients or reading recipes.  Older children can be asked to double (or triple) a recipe or how to divide ingredients.

Puzzle up some Fun: Doing a crossword puzzle, putting together a puzzle or playing a game such as Sudoku can be very invigorating to the brain, especially if these are not activities that your child excels at.  Problem-solving games such as these help your child learn in different ways, and teach them skills that can be utilized in academic courses such as reading and math.

Put on a Play: After reading a fairytale, nursery rhyme or other short story, give your child the opportunity to put on a play based on what they have just read.  Provide materials for costumes, props, even scenery.  For added fun, have your child create and sell tickets for the show.  For older children, have them decide what price to charge per ticket, and maybe run a concession stand. 

Plan a Trip: When planning a summer outing or trip, have your child research where you are going and discover some activities to do there.  Show your child how to read an atlas, and plot out the route you will take to your destination.  Older children can figure out gas mileage, how much gas for the trip will cost and how long it will take to get there.

Do Your Homework: Every Gaudior student has summer homework - math and language arts.  Have your child complete one page every few days to keep their mind active and learning!
Students lose an average of 2 months of math skills during summer vacation. As little as 15 minutes of reading every day will help your child retain the reading skills they learned during school.  It is very important to keep your child engaged in many different types of activities, so that learning continues to be fun. 
to Keep Your Child Learning
All Summer
1. Keep lots of books around and make regular trips to the library. Most libraries schedule special summer events for kids. Sign up your family!
excerpts taken from school.familyeducation.com
4 Tips
2. Think about what your kids may be learning next year when you plan the family vacation. Talk with teachers to find out what they'll be covering in class. If it's a unit on the civil war for example, you may want to schedule a visit to Gettysburg.
3. Keep math in mind. Since kids lose more math skills than anything else over the summer, try to do some special planning to find math-related activities. For example, if you can't decide whether to sign your child up for "Shakespeare's Theater" or "Math Magic" at the local community center, go with the math.
4. Consider summer school or tutoring. Struggling kids can get a lot of different kinds of help from these programs. Summer school can also enrich and accelerate learning in areas where kids show a special interest.
Remember to keep it fun! You don't want to sour your kids on learning during the summer break.
G
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