Grade 5 
Mathematics 
Standard 1 
(MATHEMATICAL REASONING)

Students make decisions about how to approach problems.

 

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 

Strategy Challenges,  
Edmark Corporation  1995 
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://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 may work alone or in small groups to solve the following problems using the step method. Students will follow a pattern, not just guess or jump around. Each group will present its solution to the rest of the class, explain their thinking, and have their classmates verify that their answer is correct: Lin-chuan presses his face up against the glass tank at the tropical fish store. There are three types of fish for sale: a bright pink Gourami ($1.20), the nearly invisible Glass fist ($1.80), and the Neon Tetra ($.60) that has an electric blue band. Lin-Chuan steps back and counts his money. He has $6.00. How many different combinations of colorful tropical fish can Lin-Chuan buy with his $6.00? 



Previously Published Data 

1.) Students will rewrite problems in their own words and select an appropriate strategy: 

  • Farmer Brown has cows and chickens on his farm. Billy Bird flying around above the farm counts 23 heads, and Arnold Ant scurrying around on the ground counts 62 legs. How many cows and chickens does Farmer Brown have on his farm?
  • Using Base Ten Blocks, describe to a small child who only understands addition, what actually takes place when you multiply 7 x 83. Make trades wherever possible so that your answer with the blocks comes out an actual number that could be written down. Estimate to verify your answer. 
     
  •