State Curriculum - Mathematics

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Grade 3 Grade 4 Grade 5
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 fractions, decimals, and place value
a. Read, write, and represent whole numbers using symbols, words, and models
 a. Read, write, and represent whole numbers using symbols, words, and models
 a. Read, write, or represent fractions or mixed numbers using symbols, models, and words
    Assessment limit:
  • Use denominators that are factors of 24 and numbers (0 – 200)
b. Express whole numbers using expanded form
 b. Express whole numbers in expanded form
 b. Read, write, or represent decimals using symbols, words, or models
    Assessment limit:
  • Use no more than 3 decimal places (0 – 100)
c. Identify the place value of a digit in a whole number
 c. Identify the place value of a digit in a number
 c. Identify and determine equivalent forms of proper fractions
    Assessment limit:
  • Use denominators that are factors of 100, decimals, or percents (0 – 200)
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)
 d. Compare or order fractions with or without using the symbols (<, >, or =)
    Assessment limit:
  • Use no more than 4 fractions or mixed numbers with denominators that are factors of 100 and numbers (0 – 100)
    e. Compare, order, and describe decimals with or without using the symbols (<, >, or =)
    Assessment limit:
  • Use no more than 4 decimals with no more than 3 decimal places and numbers (0 – 100)
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, 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 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
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. 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 two sets of mixed currency
    
B. Number Theory B. Number Theory B. Number Theory
1. Apply number relationships to:
 		1. Apply number relationships
 		1. Apply number relationships
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)
 a. Identify or describe numbers as prime or composite
  b. Identify factors
 b. Identify and use rules of divisibility
    Assessment limit:
  • Use rules for 2, 3, 5, 9, or 10 and whole numbers (0 - 10,000)
  c. Identify multiples
    Assessment limit:
  • Use the first 5 multiples of any single digit whole number
 c. Identify the greatest common factor
    Assessment limit:
  • Use 2 numbers whose GCF is no more than 10 and whole numbers (0 – 100)
    d. Identify a common multiple and the least common multiple
    Assessment limit:
  • Use no more than 4 single digit whole numbers
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. 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)
 a. Multiply whole numbers
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)
 b. Divide whole numbers
    Assessment limit:
  • Use a dividend with no more than a 4-digits by a 2-digit divisor and whole numbers (0 - 9,999)
c. Solve addition and subtraction word problems
 c. Multiply whole numbers
 c. Interpret quotients and remainders mathematically and in the context of a problem
    Assessment limit:
  • Use dividend with no more than a 3-digits by a 1 or 2 digit divisor and whole numbers (0 – 999)
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)
 d. Add and subtract proper fractions and mixed numbers with answers in simplest form
    Assessment limit:
  • Use denominators as factors of 24 and numbers (0 – 20)
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)
 e. Add decimals including money
    Assessment limit:
  • Use no more than 4 addends and no more than 3 decimal places in each addend and numbers (0 – 1000)
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)
 f. Subtract decimals including money
    Assessment limit:
  • Use a minuend and subtrahend with no more than 3 decimal places and numbers (0 – 1000)
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)
 g. Multiply decimals
    Assessment limit:
  • Use a decimal in monetary notation by a single digit whole number and numbers (0 – 100)
h. Multiply a one-digit factor by a two-digit factor using models, pictures, and drawings
   h. Divide decimals by whole numbers
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 approximate sum and difference of 2 numbers
    Assessment limit:
  • Use no more than 2 decimal places in each and numbers (0 – 100)
 a. Determine the approximate sum and difference of decimals
    Assessment limit:
  • Use no more than 3 addends with no more than 3 decimal places in each addend or the difference of a minuend and subtrahend with no more than 3 decimal places and numbers (0 – 1000)
  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)
 b. Determine approximate product and quotient of whole numbers
    Assessment limit:
  • Use a 1-digit factor with the other factor having no more than 3 digits or a dividend having no more than 3 digits and a 1-digit divisor and whole numbers (0 – 5000)
    c. Determine the approximate product of decimals
    Assessment limit:
  • Use a decimal in monetary notation and a single digit whole number (0 – 100)
 

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