Grade 6 
Mathematics 
Standard 1 
(Number Sense)

Students compare and order fractions, decimals, and
mixed numbers. They solve problems involving
fractions, ratios, proportions, and percentages.

 

Resources
Lesson Plans
Assessments

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

Section References 

Lesson 1  
Measuring and  
Visualizing  

(CHECKPOINT) 

Lesson 2  
Place Value  

(CHECKPOINT) 

Lesson 3  
Estimating with Fractions 

Lesson 4  
Adding and Subtracting 

Lesson 5  
Multiplying and Dividing 

Lesson 6  
Applying Basic Facts 

Lesson 7  
Mental Arithmetic 

Lesson 10  
Addition and  
Subtraction Applications 

Lesson 19  
Using Your Calculator 

Lesson 20  
Calculator or Mental  
Arithmetic?  

(CHECKPOINT) 

Lesson 21  
Rounding 

Lesson 27  
Adding and Subtracting 
Decimals 

(CHECKPOINT) 

Lesson 28  
Applying Decimals 

Lesson 29  
Decimals and  
Powers of 10 

Lesson 30  
Multiplying Decimals  
and Whole Numbers 

Lesson 31  
Multiplying Decimals 

(CHECKPOINT 

Lesson 32  
Precision with 
Customary Measurements 

Lesson 33  
Reporting Metric  
Measurements 

Lesson 34  
Solving Problems 
Using Decimals 

Lesson 35 
Understanding  
Division by Decimals 

Lesson 36  
Dividing Decimals  
(CHECKPOINT) 

Lesson 37  
Arithmetic with Decimals 

Lesson 38  
Keeping Sharp 

Lesson 45  
Scientific Notation 

Lesson 48  
Percents 

Lesson 49  
Computing Percent  
Discounts 

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 65  
Fractions of Whole  
Numbers 

Lesson 66  
Multiplying Fractions 

Lesson 67  
Decimal Equivalents  
of Fractions 

Lesson 68  
Equivalent Fractions 

Lesson 69  
Reducing Fractions 

Lesson 70  
Multiplying and  
Reducing Fractions 

Lesson 71  
Comparing Fractions 

Lesson 72 
Adding and 
Subtracting Fractions 

Lesson 73  
Adding and Subtracting  

(CHECKPOINT) 

Lesson 74 
Least Common  
Multiples of Three 

Lesson 77  
Practice with Fractions  
and Decimals 

Lesson 78  
Improper Fractions and  
Mixed Numbers 

Lesson 79 
Practice with Decimal  
Equivalents 

Lesson 80  
Adding and Subtracting  

(CHECKPOINT) 

Lesson 81  
Using Mixed Numbers 

Lesson 82  
Keeping Sharp 

Lesson 83  
Division by Fractions 

Lesson 85  
Dividing Fractions  

(CHECKPOINT) 

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 102  
Graphing Data 

Lesson 103  
Making and Interpreting  
Line Graphs 

Software 

Leapfrog Math:  
Intermediate 1-4,  
Meridian Creative  
Group 1995 

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.) Students will determine the height of an unknown object, such as a building or a flagpole. They will use proportion to determine the unknown height. First, students will go outside and determine the ratio of their height to the length of their shadow. Then they will measure the shadow of the unknown object. Using a proportion, the height of the unknown object will be calculated. Next, cross products will be used to find the solution. 


2.) Students will order a series of fractions. They will use a variety of strategies, such as fraction strips, common denominator, reducing to lowest terms, and/ or number lines. 
3.) Students will place the following fractions in order, from least to greatest: 2/5, 1/2, 12/4, 3/9 
4.) Students will work on problems dealing with: Interest Earned: If the bank will pay 5% interest a year on the money you deposit, how much interest will you earn on a deposit of $225.00? Sales Discounts: The sweater you like costs $42. There is a 60%-off sale. How much money will you save? How much will the sweater cost? Tips: Your family has gone out for dinner. The bill for the meal is presented to the table. You want to leave a 10% tip. If the total bill for the meal equals $36.30, how much of a tip will you leave?
 

Previously Published Data 

1.) Students will explain, with examples, strategies for comparing and ordering decimals, fractions, and mixed numbers 


2.) Students will find the missing side of a similar polygon by using proportion. 
3.) Students will solve percent problems, such as you are shopping at a sale. The $40 pants are on sale at a 20% discount. Find the amount of the discount and the new price.