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Sixth to Seventh Grade Summer Review

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Math Department



The LCMS Math Department subscribes to the Growth Mindset view of learning coined by Dr. Carol Dweck, Ph.D.  The Growth Mindset site explains: "When students believe they can get smarter, they understand that effort makes them stronger.  Therefore, they put in extra time and effort, and that leads to higher achievement."  Math teachers strive to help all students attain their mathematical potential by providing meaningful, constructive feedback on a timely basis.

Additionally, students are immersed in real-world activities and problem solving activities that promote creative, critical thinking, using the Common Core eight Standards for Mathematical Practice:

1. Make sense of problems and persevere in solving them

2. Reason abstractly and quantitatively

3. Construct viable arguments and critique the reasoning of others

4. Model with mathematics

5. Use appropriate tools strategically

6. Attend to precision

7. Look for and make use of structure

Math 6 > Math 7 > Prealgebra or Alg1 in 8th grade. Alg1 > Geometry, Prealgebra > Alg 1


  • Develop an understanding of mathematical concepts
  • Become mathematical problem solvers who can recognize and solve routine problems readily and can find ways to reach a solution where no routine path is apparent
  • Communicate precisely about quantities, logical relationships, and unknown values through the use of signs, symbols, models, graphs, and mathematical terms
  • Reason mathematically by gathering data, and analyzing evidence


1. A well-organized assignment is vital.

  • Each assignment must be completed in pencil with a proper, legible heading.
  • The heading should be located in the upper-right corner of the notebook paper:



           Math level       Period

  • An acceptable assignment includes:

Numbering and copying each problem.
Showing appropriate steps relating to the problem.
Box in the final solution.

2. After completing the assignment, students should self-reflect on their understanding.  Make a note or highlight each problem that you struggled on.  The following reflective questions may be helpful in assessing individual learning:

  • What math concepts were being practiced or reviewed?
  • What concepts have I mastered?
  • What concepts do I still not understand?
  • What questions do I need to ask in class to further my understanding?

3. Other helpful homework suggestions:

  • Homework should be completed on the day it was assigned because its purpose is to access student understanding on a timely basis.
  • Students should expect homework at least four times a week.
  • Students are responsible to record homework assigned daily.
  • Although teachers post homework on their websites, internet issues are not an excuse for not knowing the assignments since they are clearly posted in each classroom each day.

4. A successful math student develops and uses resources.

  • Learn to read and study the examples in the textbook.
  • Ask questions of your teacher in class.
  • Attend additional time help time offered by your teacher, before school, at lunch, or after school.  Your teacher will post available help times.
  • Discuss math problems with classmates.
  • Utilize online, math help resources, including the textbook portal and sites such as Khan Academy.

5. Be prepared with daily supplies.

  • Several sharpened pencils
  • Several white board markers (low odor)
  • Lined notebook paper or graph paper
  • A colored pen to be used for correcting (the color will be your teacher's choice)