Grade 5 
Mathematics 
Standard 3 
(Mathematical Reasoning)

Students move beyond a particular problem by
generalizing to other situations.
Resources
Lesson Plans
Assessments

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

Section References 

Lesson 4  
Applying Math 

Lesson 14  
Interpreting Remainders 

Lesson 16  
Practicing Division with  
One-Digit Divisors 

Lesson 23 
Metric Units 

Lesson 28  
Calculator or Mind? 

Lesson 38  
Finding an Addition Rule 

Lesson 40  
Finding a Function Rule 

Lesson 46  
Keeping Sharp  

(CHECKPOINT) 

Lesson 52  
The Identity Function 

Lesson 61 
Facts and Computation 

Lesson 63 
Applying Decimals 

Lesson 72  
Mental Arithmetic 
and Computation 

Lesson 79 
Practice with Division 

Lesson 83  
Functions and Graphing 

Lesson 90  
Interpreting Averages 

Lesson 97  
Applying Fractions  

(CHECKPOINT) 

Lesson 113  
Finding Circumference 

Lesson 120  
Lines of Symmetry 

Lesson 123  
Concave and  
Convex Figures 

Lesson 127  
Figures in Three  
Dimensions 

Lesson 139  
Multiply and Divide  
Decimals 

Lesson 146  
Angles and Scales 

Lesson 155  
Practice with Arithmetic 

Software 

Thinkin' Things Collection 3,  
Sunburst Communications 
1996 
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.) Students (independently, in pairs, or in groups) will find a simple way to add the numbers from 1 to 100 and a way to add any number of consecutive numbers. Students will ask for direction when needed and may opt to use the strategy of beginning with a simpler problem using square color tiles. Students will find the number of tiles in the 4th, 8th, 12th, and 17th steps in triangular arrays by building to the desired step, replicating that step, combining the two into a rectangle, and finding its area (or number of tiles) by multiplying length times width. 



Previously Published Data 

1.) Students will solve problems like the following and explain their thinking using drawings, words, and mathematics. If there are 17 teams in a hockey tournament, and each must play all the other teams, how many games will there be?