Butler County

Educational Service Center

1910 FAIRGROVE AVENUE, STe. B

hAMILTON, OH  45011

(513) 887-3710   faX:  (513) 887-3709              

 



Grade 3 Mathematics Standard DETAIL  
  Essential Indicator Home
Summary - Grade 3
Number Sense - Grade 3
Measurement - Grade 3
Geometry - Grade 3
Algebra - Grade 3
Data Analysis & Probability - Grade 3
Number, Number Sense and Operations         
           
3-4 Benchmark A        
Use place value structure of the base-ten number system to read, write, represent and compare whole numbers and decimals      
           
           
    STEMS MC # SA # ER #
           
  Grade 3 Indicator 2 - Use place value concepts to represent whole numbers an decimals using numerals, words, expanded notation and physical models.  For example:        
       a.  Recognize 100 means "10 tens" as well as a single entity (1 hundred) through physical models and trading games.        
       b.  Describe the multiplicative nature of the number system; e.g., the structure of 3205 as 3 x 1000 plus 2 x 100 plus 5 x 1.        
       c.  Model the size of 1000 in multiple ways; e.g., package 1000 objects into 10 boxes of 100, modeling a meter with centimeter and decimeter strips, or gathering 1000 pop-can tabs.        
       d.  Explain the concept of tenth and hundredths using physical such models, as metric pieces, base ten blocks, decimal squares or money.        
           
  Grade 3 Indicator 3 - Use mathematical language and symbols to compare and order; e.g., less than, greater than, at most, at least, <, >, =, ≥, ≤ .        
           
  Grade 4 Indicator 2 - Use place value structure of the base-ten number system to read, write, represent and compare whole numbers through millions and decimals through thousandths. *Which number is shown by (ten blocks) 1    
           
  Grade 4 Indicator 3 - Round whole numbers to a given place value.        
           
3-4 Benchmark B        
Recognize and generate equivalent representations for whole numbers, fractions and decimals.      
    STEMS MC # SA # ER #
           
  Grade 3  Indicator 1 - Identify and generate equivalent forms of whole numbers; e.g., 36, 30 + 6, 9 x 4, 46 - 10, number of inches  in a yard.         
           
  Grade 3 Indicator 7 - Recognize and use decimal and fraction concept and notations as related ways of representing parts of a whole or a set; e.g., 3 of 10 marbles are red can also be described as 3/10 and 3 tenths are red. *What fraction is shaded? 1    
           
  Grade 4 Indicator 1 - Identify and generate equivalent forms of fractions, decimals.  For example:        
       a.  Connect physical, verbal and symbolic representations of fractions , decimals and whole numbers; e.g., 1/2, 5/10, "five tenths," 0.5, shaded rectangles with half, and five tenths.        
       b.  Understand and explain that ten tenths is the same as one whole in both fraction and decimal form.        
           
3-4 Benchmark C        
Represent commonly used fractions and mixed numbers using words and physical models.      
           
    STEMS MC # SA # ER #
           
  Grade 3 Indicator 5 -  Represent fractions and mixed numbers using words, numerals and physical models.        
           
3-4 Benchmark D        
Use models, points of reference and equivalent forms of commonly used fractions to judge the size of fractions and to compare, describe and order them.
           
    STEMS MC # SA # ER #
           
  Grade 3 Indicator 3 - Use mathematical language and symbols to compare and order; e.g., less than, greater than, at most, at least, <, >, =, ≤, ≥ .         
           
  Grade 3 Indicator 6 - Compare and order commonly used fractions and mixed numbers using number lines, models (such as fraction circles or bars), points of reference (such as more or less than 1/2), and equivalent forms found using physical or visual models.        
           
  Grade 4  Indicator 5 - Use models and points of reference to compare commonly used fractions.