Grade 7 
Mathematics 
Mathematical Reasoning 
Standard 3

Students determine a solution is complete and move
beyond a particular problem by generalizing
to other situations.

 

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 
1.6 Variables and Equations 
1.8 Solving Equations Using Inverse Operations 
2.4 Adding Integers 
2.5 Subtracting Integers 
2.5a Math Lab: Hands-On Activity 
2.6 Problem-Solving Strategy: Look for a Pattern 
2.7 Multiplying Integers 
2.7a Math Lab: Hands-On Activity 
2.8 Dividing Integers 
3.4 Using Formulas 
3.6 Solving Inequalities by Adding or Subtracting 
3.7 Solving Inequalities by Multiplying or Dividing 
3.8 Applying Equations and Inequalities 
4.3 Problem Solving Strategy: Draw a Diagram 
5.3 Adding and Subtracting Decimals 
5.4 Adding and Subtracting Like Fractions 
5.6 Solving Equations 
5.8 Problem Solving Strategy: Using Logical Reasoning 
6.3 Multiplying Fractions 
6.4 Dividing Fractions 
6.5 Multiplying Fractions 
6.7 Solving Equations and Inequalities 
7.1 Problem Solving Strategies: Work Backward 
7.2 Solving Two Step Equations 
7.2a Math Lab: Hands-On Activity 
7.5 Solving Equations with Variables on Each Side 
7.5a Math Lab: Hands-On Activity 
     Equations with Variables on Each Side 
7.6 Solving Multi-Step Inequalities 
8.3 Graphing Linear Equations 
8.5 Problem-Solving Strategy: Draw a Graph 
8.7 Intercepts 
9.2 Problem-Solving Strategy: Make a Table 
9.4 Using Properties 
9.4b Math Lab: Hands-On Activity 
     Capture-Recapture 
9.9 Using Percent Equations 
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. 


Calculator Reference Site: 

http://www.ti.com/ 
calc/docs/calchome.html 



1.) Given the following problem, students will solve it and indicate any similarities to the handshake problem. 
  • How many games will be played if 10 teams play each other only on time?
  • What if they play each other 2, 3, or 4 times? 
    2.) Students will develop a schedule for a single elimination tournament for 64 teams as in college basketball.
     

  • 1.) Students will use estimation before calculation to determine the reasonableness of their answer. 
    2.) Students will use words, graphs, pictures, and tables, etc. to show, explain and justify their answers in multi-step problems. 
    3.) Students will identify problems where exact rather than approximate answers are important.