Grade 4 
Mathematics 
Standard 2 
(ALGEBRA AND FUNCTIONS)

Students know how to manipulate equations.

 

Resources
Lesson Plans
Assessments

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

Section References 

Lesson 53  
Determining Function Rules 

Lesson 54 
Inverse Functions 

Lesson 56  
Function Rules and  
Ordered Pairs 

Lesson 57  
Keeping In Shape 

Lesson 60  
Composite Function Rules 

Lesson 61  
Using Inverse Operations with 
Composite Functions 

Lesson 63  
Keeping Sharp: Facts,  
Computations, and Fractions 

Lesson 67  
Revisiting Number Facts  

CHECKPOINT 

Lesson 71  
Rotation, Reflection, and  
Translation 

Lesson 74  
Area and Perimeter 

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 work in groups (2-5 students, depending on the amount of manipulatives and student ability). Each group will write one equation that they will manipulate using the balance scale. The group will write five new equations that were derived from the original equation. They are free to add, subtract, or multiply, or do more than one of these to the equation. Their results should be recorded such that they show the equation they began with and what they did to get the other five equations. Results can be shared with the class, and groups can discuss what they did. 


2.) Working in groups as above, students will begin with a series of equations that are not equal and show why they are not equal. They could demonstrate this with the scale, showing it will not balance. Then, they will determine what is needed to make the equations equal. This could lead to the following logic: 8 + 3 does not equal 12; 8 + 3 = 11 and 12 = 11 + 1. 11 = 11; therefore, 1 needs to be added to the 11 side of the equation. 

Previously Published Data 

1.) Students will have a list of ten equations; their task is to manipulate them so that they become 20 = 20. Example: 7 + 6 = 13; add 7 to each side so the equation becomes 7 + 6 + 7 = 13 + 7; 20 =20