Grade 5 
Mathematics 
Standard 2 
(Mathematical Reasoning)

Students use strategies, skills and concepts
in finding solutions.

 

Resources
Lesson Plans
Assessments

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

Section References 

Lesson 4 Applying Math 

Lesson 5  
Using Parentheses 

Lesson 8  
Reading a Map 

Lesson 10  
Multiplying by a 
One-Digit Number 

Lesson 11  
Multiplying Any Two  
Whole Numbers 

Lesson 13  
Applying Multiplication 

Lesson  14  
Interpreting Remainders 

Lesson 16 
Practicing Division with  
One-Digit Divisors 

Lesson 19 
Adding and Subtracting  
Decimals 

Lesson 20  
Practicing Math 

Lesson 23  
Metric Units 

Lesson 26  
Applying Decimals 

Lesson 27  
Using Your Calculator 

Lesson 28  
Calculator or Mind? 

Lesson 29  
Rounding and  
Approximating Numbers 

Lesson 30  
Approximation Applications 

Lesson 33  
Making Predictions 

Lesson 34  
Decimal Quotients 

Lesson 35  
Interpreting Remainders 

Lesson 36  
Repeating Operations 

Lesson 38  
Finding an Addition Rule 

Lesson 40  
Finding a Function Rule 

Lesson 41  
Finding a Subtraction Rule 

Lesson 43  
Coordinates 

Lesson 46  
Keeping Sharp 

(CHECKPOINT) 

Lesson 48  
Graphing in Four Quadrants 

Lesson 49  
Making and Using Graphs  

(CHECKPOINT) 

Lesson 50  
Inverse Functions  

(CHECKPOINT) 

Lesson 51  
Inverse of a Composite 
Function 

Lesson 52  
The Identity Function 

Lesson 53  
Using Composite Functions 

Lesson 54 
Standard Notation 
for Functions 

Lesson 58 
Fractions of a Whole  

(CHECKPOINT) 

Lesson 60  
Decimal Equivalents  
of Fractions  

(CHECKPOINT) 

Lesson 61  
Facts and Computation 

Lesson 62  
Decimals and Multiples 
of 10 

Lesson 63  
Applying Decimals 

Lesson 64  
Creating and Using Graphs 

Lesson 68  
Ratios 

Lesson 69  
Comparing Ratios 

Lesson 71  
Using Approximate Quotients 

Lesson 72  
Mental Arithmetic and  
Computation 

Lesson 77 
Dividing by a Two-Digit  
Number 

Lesson 78  
Dividing by a Three-Digit  
Number 

Lesson 79  
Practice with Division 

Lesson 82  
Average Heights  

(CHECKPOINT) 

Lesson 83  
Functions and Graphing 

Lesson 84  
Using Rates to Make  
Predictions 

Lesson 85  
Popularity Density 

Lesson 86  
Rates and Totals 

Lesson 88  
Visualizing Solid Figures 

Lesson 89  
Using Ratios   

(CHECKPOINT) 

Lesson 90  
Interpreting Averages 

Lesson 91  
Equivalent Fractions 

Lesson 92  
Fractions with Like  
Denominators 

Lesson 94  
Comparing Fractions 

Lesson 95  
Adding Fractions: 
Unlike Denominators 

Lesson 96  
Subtracting Fractions:  
Unlike Denominators 

Lesson 97  
Applying Fractions  

(CHECKPOINT) 

Lesson 98  
Mixed Numbers  

(CHECKPOINT) 

Lesson 99  
Adding and Subtracting  
Mixed Numbers 

Lesson 101  
Applying Mixed Numbers 

Lesson 102  
Adding and Subtracting  
Fractions 

Lesson 104  
Estimating Measurements 

Lesson 107  
Angles and Rotation 

Lesson 108  
Measuring Angles 

Lesson 109  
Angles of a Triangle 

Lesson 110  
Copying Triangles 

Lesson 113  
Finding Circumference 

Lesson 114  
Congruence and Similarity 

Lesson 115  
Corresponding Parts  
of Triangles 

Lesson 116  
Using Corresponding  
Parts of Triangles 

Lesson 117  
Scale Drawings 

Lesson 118  
Using a Map Scale 

Lesson 120  
Lines of Symmetry 

Lesson 121  
Perpendicular and  
Parallel Lines 

Lesson 122  
Parallelograms 

Lesson 123 
Concave and Convex 
Figures 

Lesson 124  
Possible and Impossible  
Figures 

Lesson 125  
Area of Triangles and 
Parallelograms 

Lesson 127  
Figures in Three Dimensions 

Lesson 128  
Mixed Practice Using Area 

Lesson 129  
Estimating Measures 

Lesson 134  
Using Mixed Numbers 

Lesson 135  
Using Fractions - Time 

Lesson 138  
Using Fractions and 
Mixed Numbers 

Lesson 139  
Multiply and Divide  
Decimals 

Lesson 140 
Meaning of Percents 

Lesson 141 
Finding Percents Using 
a Calculator 

Lesson 142  
Practice with Whole 
Numbers and Decimals 

Lesson 143  
Computing Percent Discounts 

Lesson 144  
Approximating Products 
of Decimals 

Lesson 145  
Multiplying Decimals 

(CHECKPOINT) 

Lesson 146  
Angles and Scales 

Lesson 147  
Applying Percents 

(CHECKPOINT) 

Lesson 148  
Fractions and Percents 

Lesson 149  
Exponents 

Lesson 150  
Using Fractions 
and Percents 

Lesson 151  
Counting Possible 
Outcomes 

Lesson 152  
Finding Probabilities 

Lesson 155 
Practice with Arithmetic 

Software 

Making Money with  
Major Munchy:  
Explorations in Probability,  
Human Relations Media  
1994 

Tabletop,  
Broderbund Software Inc 
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 use a variety of strategies to solve the following: Bob receives 1 cent allowance the first week. The second week he receives 2 cents. The third week he receives 4 cents. The fourth week he receives 8 cents, and each week after the amount of money doubles. How much will receive on the 20th week, and how much will he have received all together? 


2.) There are 1000 lockers at school. The first student comes to school and opens every locker. The second student comes and closes every even numbered locker. The third student comes to school and touches every third locker. He opens it if it is closed, and closes it if it is open. The fourth student comes along and touches every fourth locker, opening it if it is closed, closing it if it is open. This continues until all 1000 students have come to school. After all this, which lockers are open? Explain your reasoning. 

To solve this problem, students will need to make a list, make a drawing or chart, look for a pattern, and solve a simpler problem. The problem appears difficult, but if is approached systematically, it can be done. This problem could be done together with the class, in groups or individually, depending on student's experience. 



Previously Published Data 

1.) Students are given a series of short problem solving tasks. For each problem, they will discuss what problem solving strategy to use and why that strategy would be appropriate.