State Curriculum - Mathematics

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Grade 2 Grade 3 Grade 4
Standard 6.0 Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology. Standard 6.0 Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology. Standard 6.0 Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology.
A. Knowledge of Number and Place Value A. Knowledge of Number and Place Value A. Knowledge of Number and Place Value
1. Apply knowledge of whole numbers and place value
 		1. Apply knowledge of whole numbers and place value
 		1. Apply knowledge of whole numbers and place value
a. Use concrete materials to compose and decompose quantities up to 100
 a. Read, write, and represent whole numbers using symbols, words, and models
 a. Read, write, and represent whole numbers using symbols, words, and models
b. List multiple representations for a number
 b. Express whole numbers using expanded form
 b. Express whole numbers in expanded form
c. Develop a sense of the size of a number in relation to other numbers
 c. Identify the place value of a digit in a whole number
 c. Identify the place value of a digit in a number
d. Use the numbers of 10, 50, and 100 as anchors in relationship to other numbers
 d. Compare, order, and describe whole numbers with or without using relational symbols (<, >, =)
    Assessment limit:
  • Use no more than four whole numbers (0 - 10,000)
 d. Compare, order, and describe whole numbers
    Assessment limit:
  • Use no more than 4 whole numbers with or without using the symbols (<, > , =) and whole numbers (0 - 1,000,000)
e. Read, write, and represent whole numbers using models, symbols, and words through 1000
    
f. Express whole numbers up to 999 using expanded form
    
g. Identify the place value of a digit in whole numbers up to 999
    
h. Compare and order whole numbers up to 999 using words and relational symbols ( >, <, =)
    
i. Estimate quantities up to 100 using a reference point such as 10 and the terminology "about"
    
j. Count forward by 2s, 5s, and 10s starting with numbers other than one
    
k. Count backward by 2s, 5s, and 10s from a multiple of that number
    
l. Use ordinal numbers to indicate position up to thirty-first
    
2. Apply knowledge of fractions
 		2. Apply knowledge of fractions
 		2. Apply knowledge of fractions and decimals
a. Read, write, and represent fractions as parts of a single region using symbols or models with denominators of 2, 3, or 4
 a. Read, write, and represent fractions as parts of a single region using symbols, words, and models
    Assessment limit:
  • Use fractions with denominators of 2, 3, or 4
 a. Read, write, and represent proper fractions of a single region using symbols, words, and models
    Assessment limit:
  • Use denominators 6, 8, and 10
b. Read, write, and represent halves or fourths as parts of a set using symbols, words, and models
 b. Read, write, and represent fractions as parts of a set using symbols, words, and models
    Assessment limit:
  • Use fractions with denominators of 2, 3, or 4, and use sets of 2, 3, 4 items, respectively
 b. Read, write, or represent proper fractions of a set which has the same number of items as the denominator using symbols, words, and models
    Assessment limit:
  • Use denominators of 6, 8, and 10 with sets of 6, 8, and 10, respectively
    c. Find equivalent fractions
    d. Read, write, and represent mixed numbers using symbols, words, and models
    e. Read, write, and represent decimals using symbols, words and models
    Assessment limit:
  • Use no more than 2 decimal places and numbers (0-100)
    f. Express decimals in expanded form
    Assessment limit:
  • Use no more than 2 decimal places and numbers (0-100)
    g. Compare and order fractions and mixed numbers with or without using the symbols (<, >, or =)
    Assessment limit:
  • Use like denominators and no more than 3 numbers (0-20)
    h. Compare, order, and describe decimals with or without using the symbols (<, >, or =)
    Assessment limit:
  • Use no more than 3 decimals with no more than 2 decimal places and numbers (0 – 100)
3. Apply knowledge of money
 		3. Apply knowledge of money
 		3. Apply knowledge of money
a. Determine the value of a given set of mixed currency up to $10
 a. Represent money amounts in different ways
    Assessment limit:
  • Use money amounts ($0 - $100)
 a. Compare the value of sets of mixed currency
    Assessment limit:
  • Use 2 sets of mixed currency and money ($0 - $100)
b. Represent money amounts up to $10
 b. Determine the value of a given set of mixed currency
    Assessment limit:
  • Use coins and bills ($0 - $100)
 b. Determine the change from $100
c. Compare the value of 2 sets of mixed currency up to $10
 c. Compare the value of two sets of mixed currency
  
B. Number Theory B. Number Theory B. Number Theory
1. Apply number relationships
 		1. Apply number relationships to:
 		1. Apply number relationships
a. Build and describe models of even and odd numbers using concrete materials, and discuss the models
 a. Identify and describe whole numbers as even or odd
 a. Identify and use divisibility rules
    Assessment limit:
  • Use the rules for 2, 5, or 10 with whole numbers (0 – 1000)
    b. Identify factors
    c. Identify multiples
    Assessment limit:
  • Use the first 5 multiples of any single digit whole number
C. Number Computation C. Number Computation C. Number Computation
1. Analyze number relations and compute
 		1. Analyze number relations and compute
 		1. Analyze number relations and compute
a. Demonstrate proficiency with addition and subtraction basic facts using a variety of strategies
 a. Add numbers using a variety of strategies
    Assessment limit:
  • Use no more than 3 addends, with no more than 3 digits in each addend and whole numbers (0 – 1000)
 a. Add whole numbers
    Assessment limit:
  • Use up to 3 addends with no more than 4 digits in each addend and whole numbers (0 - 10,000)
b. Add no more than 3 whole number addends with no more than 2 digits in each addend and a sum of no more than 100
 b. Subtract numbers using a variety of strategies
    Assessment limit:
  • Use no more than 3 digits in the minuend or subtrahend and whole numbers (0 – 999)
 b. Subtract whole numbers
    Assessment limit:
  • Use a minuend and subtrahend with no more than 4 digits in each and whole numbers (0 – 9999)
c. Subtract whole numbers with no more than 2 digits in the minuend or the subtrahend
 c. Solve addition and subtraction word problems
 c. Multiply whole numbers
d. Solve word problems based on addition or subtraction situations
 d. Add and subtract money amounts
 d. Divide whole numbers
    Assessment limit:
  • Use up to a 3-digit dividend by a 1-digit divisor and whole numbers with no remainders (0 - 999)
e. Write word problems for addition and subtraction situations
 e. Identify and apply the concept of inverse operations to addition and subtraction
 e. Add and subtract proper fractions and mixed numbers
    Assessment limit:
  • Use 2 proper fractions with a single digit like denominators, 2 mixed numbers with single digit like denominators, or a whole number and a proper fraction with a single digit denominator and numbers (0 – 20)
f. Add and subtract money amounts up to $1
 f. Represent multiplication and division basic facts using number sentences, pictures, and drawings
    Assessment limit:
  • Use basic facts of no more than 9 x 9 = 81
 f. Add 2 decimals
    Assessment limit:
  • Use the same number of decimal places but no more than 2 decimal places and no more than 4 digits including monetary notation and numbers (0 – 100)
g. Apply the concept of inverse operations to addition and subtraction
 g. Identify and use properties of multiplication
    Assessment limit:
  • Use the properties of commutative, identity, or zero and whole numbers (0 – 20)
 g. Subtract decimals
    Assessment limit:
  • Use the same number of decimal places but no more than 2 decimal places and no more than 4 digits including monetary notation and numbers (0 – 100)
h. Build equal groups to model multiplication
 h. Multiply a one-digit factor by a two-digit factor using models, pictures, and drawings
  
i. Build groups that share equally for division
 i. Divide a two-digit dividend by a one-digit divisor using models, pictures, and drawings
  
  j. Identify and apply the concept of inverse operations to multiplication and division
  
  k. Write a word problem based on multiplication or division number sentences
  
2. Estimation
 		2. Estimation
 		2. Estimation
a. Determine the reasonableness of sums and differences
 a. Determine the reasonableness of sums and differences
 a. Determine the approximate sum and difference of 2 numbers
    Assessment limit:
  • Use no more than 2 decimal places in each and numbers (0 – 100)
    b. Determine the approximate product or quotient of 2 numbers
    Assessment limit:
  • Use a 1-digit factor with the other factor having no more than 2-digits or a 1-digit divisor and no more than a 2-digit dividend and whole numbers (0 – 1000)
 

Note: Highlighted assessment limits will be tested in the no calculator section of MSA. In the assessment limit, (0-10) or (-10 to 10) means all numbers in the problem or the answer will fall within the range of 0 to 10 (including endpoints) or -10 to 10 (including endpoints), respectively. All content standards are tested in MSA but not all objectives. Objectives that have an assessment limit are tested on MSA. Objectives without an assessment limit are not tested on MSA.

 

MSDE has developed a toolkit for these standards which can be found online at: http://mdk12.org/instruction/curriculum/mathematics/vsc_toolkit.html.

 

June 2004