Grade 7 
Mathematics 
Mathematical Reasoning 
Standard 1

Students make decisions about how to approach problems.

 

Resources
Lesson Plans
Assessments

Text: 

Glencoe Pre-Algebra An Integrated Transition to Algebra & Geometry, 2000 Edition, Glencoe Publisher 

Section References: 

1.1 Problem Solving Strategy: Make a Plan 
1.4 Properties 
1.7 Integration: Geometry 
    Ordered Pairs 
2.4 Adding Integers 
2.5 Subtracting Integers 
2.6 Problem Solving Strategy: Look for a Pattern 
2.8 Dividing Integers 
4.1 Factors and Monomials 
9.4b Math Lab: Hands-On Activity 
    Fair and Unfair Games 
10.8 Problem Solving: Use a Simulation 

Specific Textbook 
Web Site: 

http://www.glencoe.com/ 
sec/math/prealg/mathnet/ 


General Math  
Reference Sites: 

http://www.learner.org/ 
sami/view-category.php3? 
category=math 

http://www.score.k12.ca.us/ 

http://henson.austin.apple. 
com/edres/curric.shtml 

http://school.discovery.com/ 
schrockguide/index.html 

http://www.EDsOasis.org/ 

http://www.math.com/ 

http://www.nea.org/ 
grants/free.html 

http://www.wcom.com/ 
marcopolo/ 

http://www.udel.edu/sine/ 

http://dewey.chs.chico. 
k12.ca.us/math.html 


Free Stuff: 

http://www.nea.org/ 
grants/free.html 


State/National Math Ed. Organizations: 

http://www.nctm.org/ 

http://www.cde.ca.gov/ 

Calif. Dept.of  Ed. Standards, Assessment, Ed Reference. 


Calculuator Reference Site: 
http://www.ti.com/calc/docs/ 
calchome.html 

1.) Students will solve problems such as the following: 
  • Of seven coins, six are the same weight and one is lighter than the others. Given a balance with two pans for comparing weights, what is the least number of weighings needed to determine which coin is light? 
  • Of 200 coins, 199 are the same weight and one is lighter than the others. Given the same balance, explain how the light coin may be identified in no more than five weighings. 
  • A rectangular block measuring 10 units by 8 units by 6 units is made up of cubes measuring 1 unit on a side. The base of the block is 10 units by 8 units. The outside of the block other than the base is painted blue. How many of the unit cubes have exactly one face painted blue?  

  • 1.) Students will use selected Problems of the Week to assess student thinking. These problems can be selected to emphasize a technique or concept area or just for the problem solving inherent in the problem. 
    2.) Presented with a generalized rubric, students will refine it to specific problems of the week to identify the important mathematics in a given problem. 
    3.) Students will maintain a Mathematics Journal so that they may organize their learning and thoughts and assess their own growth.