State Curriculum - Mathematics

 Print pages on legal paper, landscape mode.
Grade 4 Grade 5 Grade 6
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 fractions, decimals, and place value
 		1. Apply knowledge of rational numbers and place value
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)
 a. Read, write, and represent whole numbers
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)
 b. Read, write, and represent integers
    Assessment limit:
  • Use integers from (-100 to 100)
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)
 c. Identify and determine equivalent forms of fractions as decimals, as percents, and as ratios
    Assessment limit:
  • Use proper fractions with denominators as factors of 100, decimals, percents, or ratios (0 – 1000)
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)
 d. Compare and order fractions, decimals alone or mixed together, with and without relational symbols (<, >, =)
    Assessment limit:
  • Include no more than 4 fractions with denominators with factors of 100 or decimals with up to 2 decimal places (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)
 e. Compare and order integers
2. Apply knowledge of fractions and decimals
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, 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
a. Compare the value of sets of mixed currency
    Assessment limit:
  • Use 2 sets of mixed currency and money ($0 - $100)
    
b. Determine the change from $100
    
B. Number Theory B. Number Theory B. Number Theory
1. Apply number relationships
 		1. Apply number relationships
 		1. Apply number relationships
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
 a. Determine prime factorizations for whole numbers and express them using exponential form
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 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
 a. Add and subtract fractions and mixed numbers and express answers in simplest form
    Assessment limit:
  • Use proper fractions and denominators as factors of 60 (0–20)
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)
 b. Multiply fractions and mixed numbers and express in simplest form
    Assessment limit:
  • Use denominators as factors of 24 not including 24 (0 – 20)
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)
 c. Multiply decimals
    Assessment limit:
  • Use a decimal with no more than 3 digits multiplied by a 2-digit decimal (0 – 1000)
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)
 d. Divide decimals
    Assessment limit:
  • Use a decimal with no more than 5 digits divided by a whole number with no more than 2 digits without annexing zeros (0 – 1000)
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)
 e. Determine a percent of a whole number
    Assessment limit:
  • Use 10%, 20%, 25% or 50% of a whole number (0 – 1000)
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)
 f. Simplify numeric expressions using the properties of addition and multiplication
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. Divide decimals by whole numbers
  
2. Estimation
 		2. Estimation
 		2. Estimation
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)
 a. Determine the approximate products and quotients of decimals
    Assessment limit:
  • Use a decimal with no more than a 3 digits multiplied by a 2-digit whole number, or the quotient of a decimal with no more than 4 digits in the dividend divided by a 2-digit whole number (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)
  
3. Analyze ratios, proportions, and percents
    a. Represent ratios in a variety of forms
    b. Use ratios and unit rates to solve problems
 

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