Grade 4 
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 5  
Practicing Addition 

Lesson 10  
Perimeter 

Lesson 14  
Multidigit Addition 
and Subtraction  

CHECKPOINT 

Lesson 16  
Using Relation Signs 

Lesson 18  
Approximation Applications   

CHECKPOINT 

Lesson 24  
Using Addition and  
Subtraction 

Lesson 33  
Multiplication Facts  

CHECKPOINT 

Lesson 40  
Multiplication Practice  

CHECKPOINT 

Lesson 43  
Keeping Sharp 

Lesson 45  
Division Review 

CHECKPOINT 

Lesson 55  
Ordered Pairs 

Lesson 57  
Keeping In Shape 

Lesson 61  
Using Inverse Operations 
with Composite Functions 

Lesson 63  
Keeping Sharp: Facts,  
Computations, and Fractions 

Lesson 81  
Practice with Multiples 
of 10  

CHECKPOINT 

Lesson 87 
Multiplication Review 

Lesson 90  
Multiplication Practice 

Lesson 96  
Keeping Sharp: Functions,  
Facts, and Computation 

Lesson 99  
Reviewing the Facts 

Lesson 101  
Approximating Products 

Lesson 107  
Division Review:  
Missing Digits 

Lesson 110  
More Division Practice 

Lesson 116  
Practicing Division:  
Missing Digits 

Lesson 120  
Using a Bar Graph 

Lesson 123  
Division Revisited:  
Missing Digits 

Lesson 132  
Equivalent Fractions  

CHECKPOINT 

Lesson 141  
Comparing Decimals  
Review  

CHECKPOINT 

Lesson 144  
Approximating Errors 
Using Decimals 

Lesson 149  
Adding and Subtracting  
Decimals: Balancing a  
Checkbook 

Lesson 151 
Practicing Multiplication  
of Decimals and Whole  
Numbers 

Lesson 154  
Keep in Shape:  
Fractions and Decimals  

CHECKPOINT 

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 simpler problem using square color tiles. 


2.) 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. Since this represents twice the number sought, students will know to divide their result by two. They will state a general rule: multiply how many numbers you have by 1 more than that number and divide the result by 2 (since it was doubled originally). Algebraically, it would be: n(n + 1)/2. The total for 1-100 would be (100 x 101)/2 = 5050. Students will check their results using the formula. They may try calculating larger numbers using the formula. 

Previously Published Data 

1.) Students will show their work, explain their thinking using drawings, words, and math to solve problems like the following, and be able to indicate or create similar problems: If there are 17 teams in a hockey tournament, and each team must play all the other teams, how many games will there be? 


2.) Students will build and describe the triangular numbers to the 10th step. When given a variety of problems, they will recognize and identify those with outline solutions related to triangular numbers.  

 
 

 

 
 
 
 

KG99