Grade 7 
Mathematics 
Mathematical Reasoning 
Standard 2

Students use strategies, skills and concepts in finding solutions.

 

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 
1.5 The Distributive Property 
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 
3.1 Problem Solving Strategy: Eliminate Possibilities 
3.2 Solving Equations by Adding or Subtracting 
3.4 Using Formulas 
3.5 Integration: Geometry  Area and Perimeter 
3.6 Solving Inequalities by Adding or Subtracting 
3.7 Solving Inequalities by Multiplying or Dividing 
3.8 Applying Equations and Inequalities 
4.1 Factors and Monomials 
4.2 Powers and Exponents 
4.4 Prime Factorization 
4.4b Math Lab: Graphing Calculator Activity 
    Factor Patterns 
4.6a Math Lab: Hands-On Activity 
    Equivalent Fractions 
4.8 Multiplying and Dividing Monomials 
4.9 Negative Exponents 
5.2 Estimating Sums and Differences 
5.3 Adding and Subtracting Decimals 
5.4 Adding and Subtracting Like Fractions 
5.5 Adding and Subtracting Unlike Fractions 
5.6 Solving Equations 
5.7 Solving Inequalities 
5.8 Problem Solving Strategy: Using Logical Reasoning 
5.9 Integration: Discrete Mathematics 
    Arithmetic Sequences 
5.9b Math Lab: Hands-On Activity 
     Fibonacci Sequence 
6.2 Estimating Products and Quotients 
6.3 Multiplying Fractions 
6.4 Dividing Fractions 
6.5 Multiplying and Dividing Decimals 
6.6 Integration: Statistics 
     Measures of Central Tendency 
6.6b Math Lab: Graphing Calculator Activity 
     Finding Mean and Median 
6.7 Solving Equations and Inequalities 
6.8 Integration: Discrete Mathematics 
    Geometric Sequences 
7.1 Problem Solving Strategy: Work Backward 
7.2 Solving two-step Equations 
7.2a Math Lab: hands-on Activity 
7.3 Writing two-step Equations 
7.4 Integration: Geometry 
    Circles and Circumference 
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 
8.1 Relations and Functions 
8.2 Integration: Statistics 
    Scatter Plots 
8.3 Graphing Linear Equations 
8.5 Problem-Solving Strategy: Draw a Graph 
8.6b Math Lab: Hands-On Activity 
    Circles and Slope 
8.7 Intercepts 
8.9 Graphing Inequalities 
9.3 Integration: Probability 
    Single Probability 
9.3a Math Lab: Hands-On Activity 
    Fair and Unfair Games 
9.4 Using Proportions 
9.4b Math Lab: Hands-On Activity 
    Capture-Recapture 
9.6 Integration: Statistics 
    Using Statistics to Predict 
9.7 Fractions, Decimals, and Percents 
9.8 Percent and Estimation 
9.9 Using Percent Equations 
9.10 Percent of Change 
10.5 Counting 
10.10 Probability of Compound Events 
11.3 Angle Relationships and Parallel Lines 
11.3b Math Lab: Graphing Calculator Activity 
     Slopes of Parallel Lines 
11.4 Triangles 
11.6 Similar Triangles and Indirect Measurement 
11.8 Polygons 
12.1 Area: Parallelograms, Triangles, and Trapezoids 
12.2 Area: Circles 
12.4 Problem-Solving Strategy: Make a Model or a Drawing 
12.5 Surface Area: Prisms and Cylinders 
12.6 Surface Area: Pyramids and Cones 
12.7 Volume: Prisms and Cylinder 
12.8 Volume: Pyramids and Cones 
12.8b Math Lab: Hands-On Activity 
     Similar Solid Figures 
13.1 Squares and Square Roots 
13.2 Problem-Solving Strategy: Use Venn Diagrams 
13.3 The Real Number System 
13.4 The Pythagorean Theorem 
13.5 Special Right Triangles 
13.6 The Sine, Cosine, and Tangent Ratios 
13.6a Math Lab: Hands-On Activity 
     Graphing Irrational Numbers 
13.6b Math Lab: Graphing Calculator Activity 
     Slope and Tangent 
13.7 Using Trigonometric Ratios 
14.2 Adding Polynomials 
14.4 Powers of Monomials 


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.) Students will demonstrate a variety of successful strategies when solving multi-step problems such as the following: 
  • Every day at noon a ship leaves San Francisco for Tokyo, and at that same instant a ship leaves Tokyo for San Francisco. Each trip lasts exactly eight days. How many Tokyo ships will each San Francisco ship meet? 
  • On a string of 33 pearls, the middle pearl is the largest and most expensive of all. Starting from one end, each pearl is worth 4100 more than the one before, up to the middle. From the other end, each pearl is worth $150 more than the one before, up to the middle. The string of pearls is worth $65,000. What is the value of the middle pearl? 
     

  • 1.) Students will solve open ended problems from a variety of sources, preferably with specific rubrics developed in the class or by the teacher.