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Grade 3-8 Mathematics Testing Program Guidance, Pre-March/Post March
 
  Number Sense and Operations  
Number

    Band               Performance Indicator

Pre- MarchTesting
/Post-March Testing

Number Systems

Grade 3
3.N.1

Skip count by 25’s, 50’s, 100’s to 1,000

Pre-March

3.N.2

Read and write whole numbers to 1,000

Pre-March

3.N.3

Compare and order numbers to 1,000

Pre-March

3.N.4

Understand the place value structure of the base ten number system:
10 ones = 1 ten
10 tens = 1 hundred
10 hundreds = 1 thousand

Pre-March

3.N.5

Use a variety of strategies to compose and decompose three-digit numbers

Pre-March

3.N.6

Use and explain the commutative property of addition and multiplication

Pre-March

3.N.7

Use 1 as the identity element for multiplication

Pre-March

3.N.8

Use the zero property of multiplication

Pre-March

3.N.9

Understand and use the associative property of addition

Pre-March

3.N.10

Develop an understanding of fractions as part of a whole unit and as parts of a collection

Pre-March

3.N.11

Use manipulatives, visual models, and illustrations to name and represent unit fractions (1/2, 1/3, 1/4, 1/5, 1/6 and 1/10 ) as part of a whole or a set of objects

Pre-March

3.N.12

Understand and recognize the meaning of numerator and denominator in the symbolic form of a fraction

Pre-March

3.N.13

Recognize fractional numbers as equal parts of a whole

Pre-March

3.N.14

Explore equivalent fractions(½, ⅓, ¼)

Post-March

3.N.15

Compare and order unit fractions (½, ⅓, ¼) and find their approximate locations on a number line

Post-March

Grade 4    
4.N.1 Skip count by 1,000’s Pre-March
4.N.2 Read and write whole numbers to 10,000 Pre-March
4.N.3 Compare and order numbers to 10,000 Pre-March

4.N.4

Understand the place value structure of the base ten number system:
10 ones = 1 ten
10 tens = 1 hundred
10 hundreds = 1 thousand
10 thousands = 1 ten thousand

Pre-March

4.N.5 Recognize equivalent representations for numbers up to four digits and generate them by decomposing and composing numbers Pre-March
4.N.6 Understand, use, and explain the associative property of multiplication Pre-March
4.N.7 Develop an understanding of fractions as locations on number lines and as divisions of whole numbers Post-March
4.N.8 Recognize and generate equivalent fractions (halves, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visual models, and illustrations Post-March
4.N.9 Use concrete materials and visual models to compare and order unit fractions or fractions with the same denominator (with and without the use of a number line) Post-March
4.N.10 Develop an understanding of decimals as part of a whole Post-March
4.N.11 Read and write decimals to hundredths using money as a context Post-March
4.N.12 Use concrete materials and visual models to compare and order decimals (less than 1) to the hundredths place in the context of money Post-March
Grade 5    
5.N.1 Read and write whole numbers to millions Pre-March
5.N.2 Compare and order numbers to millions Pre-March
5.N.3 Understand the place value structure of the base ten number system:
    10 ones = 1 ten
    10 tens = 1 hundred
    10 hundreds  = 1 thousand
    10 thousands = 1 ten thousand
    10 ten thousands = 1 hundred thousand
    10 hundred thousands = 1 million
Pre-March
5.N.4 Create equivalent fractions, given a fraction Pre-March
5.N.5 Compare and order fractions including unlike denominators (with and without the use of a number line)  Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc. Pre-March
5.N.6 Understand the concept of ratio Pre-March
5.N.7 Express ratios in different forms Pre-March
5.N.8 Read, write, and order decimals to thousandths Pre-March
5.N.9 Compare fractions using <, >, or = Pre-March
5.N.10 Compare decimals using <, >, or =  Pre-March
5.N.11 Understand that percent means part of 100, and write percents as fractions and decimals Pre-March
Grade 6    
6.N.1 Read and write whole numbers to trillions Pre-March
6.N.2 Define and identify the commutative and associative properties of addition and multiplication Pre-March
6.N.3 Define and identify the distributive property of multiplication over addition Pre-March
6.N.4 Define and identify the identity and inverse properties of addition and multiplication Pre-March
6.N.5 Define and identify the zero property of multiplication Pre-March
6.N.6 Understand the concept of rate Pre-March
6.N.7 Express equivalent ratios as a proportion Pre-March
6.N.8 Distinguish the difference between rate and ratio Pre-March
6.N.9 Solve proportions using equivalent fractions Pre-March
6.N.10 Verify the proportionality using the product of the means equals the product of the extremes Pre-March
6.N.11 Read, write, and identify percents of a whole (0% to 100%) Pre-March
6.N.12 Solve percent problems involving percent, rate, and base Pre-March
6.N.13 Define absolute value and determine the absolute value of rational numbers (including positive and negative) Pre-March
6.N.14 Locate rational numbers on a number line (including positive and negative) Pre-March
6.N.15 Order rational numbers (including positive and negative) Pre-March
Grade 7    
7.N.1 Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, and irrational numbers) Pre-March
7.N.2 Recognize the difference between rational and irrational numbers (e.g., explore different approximations of π) Pre-March
7.N.3 Place rational and irrational numbers (approximations) on a number line and justify the placement of the numbers Pre-March
7.N.4 Develop the laws of exponents for multiplication and division Pre-March
7.N.5 Write numbers in scientific notation Pre-March
7.N.6 Translate numbers from scientific notation into standard form Pre-March
7.N.7 Compare numbers written in scientific notation Pre-March
Grade 8 NONE  
Number Theory

Grade 3
3.N.16

Identify odd and even numbers

Pre-March

3.N.17

Develop an understanding of the properties of odd/even numbers as a result of addition or subtraction

Pre-March

Grade 4
4.N.13

Develop an understanding of the properties of odd/even numbers as a result of multiplication

Pre-March

Grade 5
5.N.12 Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple divisors (composite) Pre-March
5.N.13

Calculate multiples of a whole number and the least common multiple of two numbers

Pre-March

5.N.14 Identify the factors of a given number Pre-March
5.N.15 Find the common factors and the greatest common factor of two numbers Pre-March
Grade 6  None
Grade 7
7.N.8 Find the common factors and greatest common factor of two or more numbers Pre-March
7.N.9 Determine multiples and least common multiple of two or more numbers Pre-March
7.N.10 Determine the prime factorization of a given number and write in exponential form Pre-March
Grade 8 NONE  
Operations

Grade 3