Middle school summer math review
 Binder Author:  srfam  | Details  |  Comments 0
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Middle school summer math review


























Tab 0 -- About
Middle School summer math review worksheets

This is a great collection of websites that offer math word problems and worksheets for middle school students.  There are also some study tips for kids learning middle school math.

http://farm3.static.flickr.com/2439/3601101093_1a04d8388e.jpg
Tab 1 -- Good Advice
How to solve word problems from George Polya
Now, as you are reviewing your answers, I suggest you refer to the following guidelines by famous mathematician George Polya:

Pólya's four principles

First principle: Understand the problem

  • Do you understand all the words used in stating the problem?
  • What are you asked to find or show?
  • Can you restate the problem in your own words?
  • Can you think of a picture or a diagram that might help you understand the problem?
  • Is there enough information to enable you to find a solution?
  • Do you need to ask a question to get the answer?

Second principle: Devise a plan

Pólya mentions  that there are many reasonable ways to solve problems. The skill at choosing an appropriate strategy is best learned by solving many problems. You will find choosing a strategy increasingly easy. A partial list of strategies is included:

  • Guess and check
  • Make an orderly list
  • Eliminate possibilities
  • Use symmetry
  • Consider special cases
  • Use direct reasoning
  • Solve an equation

Also suggested:

  • Look for a pattern
  • Draw a picture
  • Solve a simpler problem
  • Use a model
  • Work backward
  • Use a formula
  • Be creative

Third principle: Carry out the plan

This step is usually easier than devising the plan. In general all you need is care and patience, given that you have the necessary skills. Persist with the plan that you have chosen. If it continues not to work discard it and choose another. Don't be misled, this is how mathematics is done, even by professionals.

Fourth principle: Review/extend

Pólya mentions that much can be gained by taking the time to reflect and look back at what you have done, what worked and what didn't. Doing this will enable you to predict what strategy to use to solve future problems, if these relate to the original problem.

www.mathkangaroo.org

Tab 2 -- Canada Middle School Math Problems
Great middle school math word problems
This is a set of great math word problems from the Canadian SchoolNet and cover middle school curriculum.

These problems are useful exercise no matter what school district you are with.
to review click on the sub-tabs above.
http://www.stfx.ca/special/mathproblems/welcome.html
  Subtab 0 -- Grade 5 problems
http://www.stfx.ca/special/mathproblems/grade5.html
  Subtab 1 -- Grade 6 problems
http://www.stfx.ca/special/mathproblems/grade6.html
  Subtab 2 -- Grade 7 problems
http://www.stfx.ca/special/mathproblems/grade7.html
  Subtab 3 -- Grade 8 problems
http://www.stfx.ca/special/mathproblems/grade8.html
Tab 3 -- Middle school Math prep
Another great set of middle school math prep problems
This tab shows math problems put together by the Franklin Institute for middle school students preparing for the philadelphia math assessment test.  Read about it on the page to the right.

These are great exercises which are useful no matter what state exam you take.

Click on the different subtabs above that covere 8 months worth of review questions.
http://fi.edu/school/math2/index.html
  Subtab 0 -- Prep 1
http://fi.edu/school/math2/sept.html
  Subtab 1 -- Prep 2
http://fi.edu/school/math2/oct.html
  Subtab 2 -- Prep 3
http://fi.edu/school/math2/nov.html
  Subtab 3 -- Prep 4
http://fi.edu/school/math2/dec.html
  Subtab 4 -- Prep 5
http://fi.edu/school/math2/jan.html
  Subtab 5 -- Prep 6
http://fi.edu/school/math2/feb.html
  Subtab 6 -- Prep 7
http://fi.edu/school/math2/march.html
  Subtab 7 -- Prep 8
http://fi.edu/school/math2/april.html
Tab 4 -- 5 Home Schooling Tips for Teens | Make and Takes
http://www.makeandtakes.com/5-home-schooling-tips-for-teens
Tab 5 -- Math as Art
http://abettereducation.blogspot.com/2009/06/changing-way-we-teach-math-interview.html
Tab 6 -- Math Resources for 6th grade
http://www.aaastudy.com/grade6.htm

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