State Curriculum - Mathematics

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Grade 5 Grade 6 Grade 7
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 fractions, decimals, and place value
 		1. Apply knowledge of rational numbers and place value
 		1. Apply knowledge of rational numbers and place value
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
 a. Read, write, and represent whole numbers
    Assessment limit:
  • Use exponential notation with bases no more than 12 and exponents no more than 3 in standard form (0 – 1000)
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)
 b. Express decimals using expanded form
    Assessment limit:
  • Use decimals with no more than 4 decimal places (0 – 100)
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)
 c. Determine equivalent forms of rational numbers expressed as fractions, decimal, percents, and ratios
    Assessment limit:
  • Use positive rational numbers (0 – 100)
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)
 d. Compare, order, and describe rational numbers with or without relational symbols (<, >, =)
    Assessment limit:
  • Use no more than 4 fractions with denominators that are factors of 300 that are less than 101 (0-100), decimals with no more than 4 decimal places (0-100), percents (0-100) or integers (-100 to 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
 e. Express whole numbers and decimals in scientific notation
B. Number Theory B. Number Theory B. Number Theory
1. Apply number relationships
 		1. Apply number relationships
a. Identify or describe numbers as prime or composite
 a. Determine prime factorizations for whole numbers and express them using exponential form
  
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 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. 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)
 a. Add, subtract, multiply, and divide integers
    Assessment limit:
  • Use one operation (-100 to 100)
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)
 b. Add, subtract, and multiply positive fractions and mixed numbers
    Assessment limit:
  • Use no more than 2 operations and positive fractions or mixed numbers with denominators as factors of 300 less than 101 (0 – 2000)
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)
 c. Divide fractions and mixed numbers
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)
 d. Calculate powers of integers and square roots of perfect square whole numbers
    Assessment limit:
  • Use exponents of no more than 3 for integers (-10 to 20) or square roots of perfect square whole numbers (0–100)
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)
 e. Use the laws of exponents to simplify expressions
    Assessment limit:
  • Use the rules of exponents (power times power or power divided by power) with the same whole number base (0 – 100) and exponents (0 – 10)
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
 f. Identify and use the properties of addition and multiplication to simplify expressions
g. Multiply decimals
    Assessment limit:
  • Use a decimal in monetary notation by a single digit whole number and numbers (0 – 100)
   g. Determine percent of a number
h. Divide decimals by whole numbers
    
2. Estimation
 		2. Estimation
 		2. Estimation
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)
 a. Determine approximate sums, differences, products, and quotients
    Assessment limit:
  • Use no more than 3 positive rational 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
 		3. Analyze ratios, proportions, or percents
  a. Represent ratios in a variety of forms
 a. Determine equivalent ratios
    Assessment limit:
  • Use denominators as factors of 300 but less than 101 and whole numbers (0-100)
  b. Use ratios and unit rates to solve problems
 b. Determine and use rates, unit rates, and percents as ratios in the context of a problem
    c. Determine rate of increase and decrease, discounts, simple interest, commission, sales tax
    d. Determine percent of a number
 

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