Grade 6 
Mathematics 
Standard 2 
(Mathematical Reasoning)

Students use strategies, skills and concepts
in finding solutions.

 

Resources
Lesson Plans
Assessments

SRA Math Explorations  
and Applications,  
Willoughby, 1999,  
SRA McGraw-Hill 

Section References 

Lesson 1  
Measuring and Visualizing  

(CHECKPOINT) 

Lesson 3  
Estimating with Fractions 

Lesson 7  
Mental Arithmetic 

Lesson 9 
Multidigit Addition  

Lesson 10  
Addition and Subtraction 
Applications 

Lesson 11  
Powers of Multiples of 10 

Lesson 13  
Applying Multiplication 

Lesson 14  
Division  

(CHECKPOINT) 

Lesson 16  
Dividing by a Multi-Digit 
Divisor 

Lesson 17 
Division Applications 

Lesson 18 
Arithmetic Applications 

(CHECKPOINT) 

Lesson 20  
Calculator or Mental  
Arithmetic? 

(CHECKPOINT) 

Lesson 21  
Rounding 

Lesson 23  
Computing with Negative 
Numbers 

Lesson 27  
Adding and Subtracting  
Decimals 

(CHECKPOINT) 

Lesson 28 
Applying Decimals 

Lesson 31  
Multiplying Decimals  

(CHECKPOINT 

Lesson 32 
Precision with Customary  
Measurements 

Lesson 33  
Reporting Metric  
Measurements 

Lesson 34  
Solving Problems  
Using Decimals 

Lesson 36  
Dividing Decimals   

(CHECKPOINT) 

Lesson 37  
Arithmetic with Decimals 

Lesson 38  
Keeping Sharp 

Lesson 39 
Exponents 

Lesson 40  
Counting Possibilities 

Lesson 41  
Writing Powers of 10 

Lesson 42  
Multiplying and Dividing 
Using Exponents 

Lesson 43  
Approximating with  
Exponents 

(CHECKPOINT) 

Lesson 44  
Interpreting Multidigit Numbers 

Lesson 45  
Scientific Notation 

Lesson 50  
Percents on a Calculator 

Lesson 51  
Sales Tax and Discounts  

(CHECKPOINT) 

Lesson 52  

Calculating Interest 

Lesson 53 
Compound Interest 

Lesson 54  
Reversing Percent Problems 

Lesson 55  
Applying Percents 

Lesson 56  
Keeping Sharp 

Lesson 57  
Multiples of 9 

Lesson 58  
Finding Divisibility Rules 

Lesson 59  
Using Divisibility Rules 

Lesson 60  
Factors 

Lesson 61  
Prime and Composite 
Numbers 

Lesson 62  
Checking Products 

Lesson 65  
Fractions of Whole Numbers 

Lesson 67 
Decimal Equivalents 
of Fractions 

Lesson 69  
Reducing Fractions 

Lesosn 70  
Multiplying and Reducing  
Fractions 

Lesson 71  
Comparing Fractions 

Lesson 74  
Least Common  
Multiples of Three 

Lesson 75 
Probability 

Lesson 76  
Analyzing Probability 

Lesson 77  
Practice with Fractions  
and Decimals 

Lesson 79  
Practice with Decimal 
Equivalents 

Lesson 81 
Using Mixed Numbers 

Lesson 82  
Keeping Sharp 

Lesson 83  
Division by Fractions 

Lesson 85  
Dividing Fractions 

(CHECKPOINT) 

Lesson 86  
Using Maps and Charts 

Lesson 87  
Ratios 

Lesson 88  
Averages and Rates 

(CHECKPOINT) 

Lesson 89  
Mean, Median, and Mode 

Lesson 90  
Choosing an Appropriate  
Average 

Lesson 91  
Solving Proportions 

Lesson 92 
Similar Figures 

Lesson 95  
Creating a Graph 

Lesson 96  
Interpreting a Graph 

Lesson 97  
Misleading Graphs 

Lesson 98  
Organizing Data 

(CHECKPOINT) 

Lesson 100  
Translation, Rotation, 
Reflection, and Symmetry 

Lesson 102  
Graphing Data 

Lesson 104  
Graphing Functions: 
Negative Value 

Lesson 105  
Practice with Graphing 

Lesson 108  
Keeping Sharp 

Lesson 109  
Determining Rules  
from Ordered Pairs 

Lesson 110  
Interpreting Data 

Lesson 111  
Using Formulas 

Lesson 113  

Finding Terms of Sequences 

(CHECKPOINT) 

Lesson 114  
Graphing Linear Functions 

Lesson 115  
Order of Operations 

Lesson 116  
Graphing Nonlinear Functions 

Lesson 118  
Graphing a Perimeter Function 

Lesson 119  
Determining the Function Rule 

Lesson 120  
Finding Circumference 

Lesson 121 
Average Monthly Temperature 

Lesson 125  
Surface Area 

Lesson 126 
Volume of a Rectangular Prism 

Lesson 131  
Area of a Trapezoid 

Lesson 132  
Triangles and Quadrilaterals 

Lesson 134  
Classifying Figures 

Lesson 135  
Determining Lengths  
from Given Areas 

Lesson 136 
Square Roots 

Lesson 137 
Estimating Measures 

Lesson 139 
The Metric System 

Lesson 141  
Estimating Volume 

Lesson 142  
Keeping Sharp 

Lesson 143  
Angles and Rotation 

Lesson 145  
Corresponding Angles  
and Vertical Angles 

Lesson 146  
Straight and Supplementary 
Angles  

(CHECKPOINT) 

Lesson 147  
Angles and Polygons 

Lesson 148  
Points, Lines, and Planes 

Lesson 150  
Compass Constructions 

Lesson 151  
Circle Graphs 

Lesson 152  
Right Triangles: 
Squares of Sides 

Specific Textbook  
Web Sites 

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

http://www.eduplace.com/ 
links/ 

http://www.eduplace.com/ 

http://www.hmco.com/ 
college/mathematics/ 
index.html 

http://www.mcdougallittell. 
com/ 

http://www.hmco.com/ 

http://www.SRA-4KIDS.com/ 

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 



Previously Published Data 

1.) Any kind of problem can be posed to students, depending on the area of study. Once a problem is found, the following steps should be followed: 1. Students read the problem. Any vocabulary that may be new can be discussed at this time. 2. Students are allotted five minutes to discuss the problem with each other. 3. Students formulate a reasonable estimate or a reasonable range in which the answer may fall. 4. Next, students determine what strategies to use to solve the problem. They may write the problem out in their own words, or they may use numbers, symbols, charts, graphs, tables, diagrams and models to represent the problem. 5. Students solve the problem using the appropriate operations and strategies. 6. As a final step, students compare the answer with their original estimation. 


2.) Students will solve multi-step problems alone, explaining their reasoning and techniques. 

Previously Published Data 

1.) Problems of the Week offer an excellent opportunity to pose interesting and/or complex problems to students. The above mentioned steps are required for completion of the problem. Problems of the Week can be used to assess strategies and skills used by the students. 


2.) Students will explain "estimation" and why it is a valuable tool in mathematics. Given a selection of problems, students will describe their estimation strategies and techniques as well as the actual solutions.