Grade 3 
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 6  
Reviewing Basic Facts 

Lesson 28  
Applications: Four-Digit  
Addition and Subtraction 

Lesson 30 
Race the Calculator 

Lesson 33  
Choosing Reasonable  
Answers 

Lesson 34  
Approximating Sums 
and Differences 

Lesson 35  
Add to Find the  
Perimeter 

Lesson 36  
Practice with  
Approximating Sums 

(CHECKPOINT) 

Lesson 37  
Telling Time 

Lesson 38  
Practice Telling time 

(CHECKPOINT) 

Lesson 40 
Extend Your Thinking 

Lesson 41 
Approximating the Area 

Lesson 42  
Finding the Area 

Lesson 45  
Using Information in  
Displays 

Lesson 46  
Applying Multiplication:  
Area 

Lesson 47  
Estimating Products 

Lesson 50  
The Order Property of  
Multiplication 

Lesson 54  
Using Mental Math to  
Multiply 

Lesson 67  
Practice with Missing  
Factors and Division 

Lesson 71  
Choosing the Correct 
Operation  

(CHECKPOINT) 

Lesson 74  
Solving Equations 
with Variables 

Lesson 78  
Extend Your Thinking 

Lesson 79  
Reading Pictographs 

Lesson 80  
Reading Bar Graphs 

Lesson 81 
Reading Line Graphs 

Lesson 83  
Reading a Thermometer 

Lesson 84 
Making Line Graphs 

Lesson 88  
Estimate and Measure  
Customary Lengths 

Lesson 90 
Making Charts and  
Graphs 

Lesson 95  
Conversions: Meters and 
Centimeters  

(CHECKPOINT) 

Lesson 96 
Dollars and Cents 

Lesson 103  
Organizing Data 

Lesson 104  
Applied Addition and  
Subtraction of Decimals 

Lesson 122  
Making Predictions 

Lesson 123  
Predicting the Outcome 

Lesson 124 
Probability and  
Predictions 

Lesson 126 
Reading Scale Drawings 

Lesson 134  
Area 

Lesson 135  
Applying Multiplication 
Skills 

Lesson 143  
Exploring Exponents 

Lesson 148  
Approximating  
Multiplication 

Lesson 149  
Approximating  
Answers 

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 keep a Mathematics Journal where they include strategies for solving different types of problems as well as ways to double check solutions for accuracy. They will add a section to their Journals that allows them to group problems together with similar problems and methods together with similar methods. They will add new problems or methods as these are encountered and write a statement indicating why the problems or methods are similar. Students will share the ideas in their Journals on a regular basis with others in the classroom. "Who has a different example?" will help encourage all responses to be shared. Students will respond to the following questions in their Journals: 

  • Division is like Multiplication because...; 
  • Multiplication is like Addition because...; 
  • Coin tossing is like spinners because...;
  • The handshake problem is like dot connecting because... 

  • Previously Published Data 

    After solving all four of the problems below, review each one and indicate which problems are similar and why. Did you use the same method for more than one problem? If so, explain what method and for which problems.  

    1.) Dot Connecting: Draw a circle. Place ten dots on the circle. If you drew lines connecting every dot to every other dot, how many lines would you draw? With just one dot, there would be zero lines. With two dots, you could draw one line. How many lines would you draw for three dots? four? Make a chart. 

    2.) Paper Folding: Take a piece of notebook paper and fold it in half, and then in half again, and again, until you have made six folds. When you open it up, how many sections will there be? With one fold, you would have two sections. With two folds, you have four sections. Make a chart. Continue the folding. Look for a pattern. 

    3.) The Handshake Problem: Suppose everyone in the room were to shake hands with every other person in the room. How many handshakes would that be? If there were only one person in the room, there would be no handshakes. With two people, there would be one handshake. Make a chart and continue adding one person at a time to the handshakes.  

    4.) The Diagonal Problem: If you had a twelve sided polygon (a dodecagon), how many diagonals could you draw? Remember that diagonals connect the corners of shapes. A triangle has three sides and no diagonals. A quadrilateral has four sides and two diagonals. What about a pentagon? a hexagon? and so on? Make a chart.