Testing! Beyond One-Step Math Problems

Middle school students often do well on straight calculations but feel lost when faced with more complex problems. And many tests these days require critical thinking and ask for an extended response. As in all test preparation, students need practice, especially on problems requiring more than one-step computation. Here are sites that offer test items you might use in class reviews, challenges, quizzes, etc.  Please let us know of other treasure troves of practice problems or how you prepare your students for testing.

Searching for Solutions
Within this WebQuest is a set of individual lessons on several problem-solving techniques, such as finding patterns, making a table, working backward, and solving a simpler problem. Each strategy is explained simply, with students in mind, then activities requiring that strategy are presented. An excellent guide from an e-learning specialist on ways to attack math problems!

Balanced Assessment
A set of more than 300 assessment tasks, indexed for grades K-12. Each incorporates a story problem format and includes hands-on activities. Rubrics provided.

Figure This! Math Challenges for FamiliesCreated for students in grades 6 to 8, the site offers math challenges that focus on everyday life, such as how fast your heart beats, what shape container holds the most popcorn, and how much of you shows in a small wall mirror.

Word Problems for Kids
A wide range of carefully selected problems! Organized by grade level from 5 through 12, each problem links to a helpful hint and to the answer; the more difficult problems offer complete solutions.

Problems with a Point
Here you can search for word problems by topic, lesson time, required mathematical background, and problem-solving strategy. Take the time to do the short guided tours of the site, and then look at favorite problems selected by teachers — a good set of problems at the middle school level.

Fermi Questions
Fermi questions emphasize estimation, numerical reasoning, communicating in mathematics, and questioning skills. Students often believe that word problems have one exact answer and that the answer is derived in a unique manner. Fermi questions encourage multiple approaches, emphasize process rather than the answer, and promote non-traditional problem solving strategies.

NAEP Questions
Over 2000 questions archived.  Online tools allow you to search the collection by content area, grade level, and difficulty. The site also shows what students at each achievement level are likely to know and how NAEP questions are scored.