Grade 6 
Mathematics 
Standard 1 
(Mathematical Reasoning)

Students make decisions about how to approach problems.

 

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 

Lesson 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 

Software 

Strategy Challenges,  
Edmark Corporation 1995 
cd mac/windows 

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.) Using menus students will solve problems concerning the final bill: Using the menu you are given, choose what you would have for dinner if you had an unlimited budget. How much will this meal cost? Be sure to include both tax and tip. Show the steps you follow to find the solution. Repeat the problem with three different budgets ( based on the price range of the menu). 


2.) Using a map, students will solve problems such as: Your car gets about 20 miles to the gallon. Gas costs $1.59 per gallon. How much would it cost for gas to travel from San Jose, California to Santa Fe, New Mexico? What would it cost if your car got 28 miles per gallon?  33 miles per gallon? Show your work and explain your strategies. Did you use the same strategies for each part of the problem? Why or why not? 

Previously Published Data 

1.) Problems of the Week offer a terrific opportunity for students to work with multi-step problems. Students have an opportunity to discuss the problem with others and must explain the strategies they used to find their solutions. All work is shown and explained. These problems offer an opportunity for assessment and/or evaluation.