Mathematics Toolkit
Curriculum Guidance Materials & Resources
Grade 3-8 Mathematics Testing Program Guidance, Pre-March/Post March
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Number Sense and Operations |
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Band Performance Indicator |
Pre- MarchTesting
/Post-March Testing |
Number Systems
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Grade 3 |
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3.N.1
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Skip count by 25’s, 50’s, 100’s to 1,000 |
Pre-March |
3.N.2
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Read and write whole numbers to 1,000 |
Pre-March |
3.N.3
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Compare and order numbers to 1,000 |
Pre-March |
3.N.4
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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
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Use a variety of strategies to compose and decompose three-digit numbers |
Pre-March |
3.N.6
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Use and explain the commutative property of addition and multiplication |
Pre-March |
3.N.7
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Use 1 as the identity element for multiplication |
Pre-March |
3.N.8
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Use the zero property of multiplication |
Pre-March |
3.N.9
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Understand and use the associative property of addition |
Pre-March |
3.N.10
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Develop an understanding of fractions as part of a whole unit and as parts of a collection |
Pre-March |
3.N.11
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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
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Understand and recognize the meaning of numerator and denominator in the
symbolic form of a fraction |
Pre-March |
3.N.13
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Recognize fractional numbers as
equal parts of a whole |
Pre-March |
3.N.14
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Explore equivalent fractions(½,
⅓, ¼) |
Post-March |
3.N.15
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Compare and order unit fractions (½, ⅓, ¼) and find their approximate
locations on a number line |
Post-March |
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Grade 4 |
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4.N.1 |
Skip count by 1,000’s |
Pre-March |
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4.N.2 |
Read and write whole numbers to 10,000 |
Pre-March |
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4.N.3 |
Compare and order numbers to 10,000 |
Pre-March |
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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 |
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4.N.5 |
Recognize equivalent representations for numbers up to four digits and
generate them by decomposing and composing numbers |
Pre-March |
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4.N.6 |
Understand, use, and explain the associative property of multiplication |
Pre-March |
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4.N.7 |
Develop an understanding of fractions as locations on number lines and as
divisions of whole numbers |
Post-March |
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4.N.8 |
Recognize and generate equivalent fractions (halves, fourths, thirds,
fifths, sixths, and tenths) using manipulatives, visual models, and
illustrations |
Post-March |
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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 |
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4.N.10 |
Develop an understanding of decimals as part of a whole |
Post-March |
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4.N.11 |
Read and write decimals to hundredths using money as a context |
Post-March |
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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 |
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Grade 5 |
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5.N.1 |
Read and write whole numbers to millions |
Pre-March |
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5.N.2 |
Compare and order numbers to millions |
Pre-March |
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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 |
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5.N.4 |
Create equivalent fractions, given a fraction |
Pre-March |
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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 |
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5.N.6 |
Understand the concept of ratio |
Pre-March |
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5.N.7 |
Express ratios in different forms |
Pre-March |
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5.N.8 |
Read, write, and order decimals to thousandths |
Pre-March |
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5.N.9 |
Compare fractions using <, >, or = |
Pre-March |
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5.N.10 |
Compare decimals using <, >, or = |
Pre-March |
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5.N.11 |
Understand that percent means part of 100, and write percents as fractions
and decimals |
Pre-March |
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Grade 6 |
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6.N.1 |
Read and write whole numbers to trillions |
Pre-March |
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6.N.2 |
Define and identify the commutative and associative properties of addition
and multiplication |
Pre-March |
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6.N.3 |
Define and identify the distributive property of multiplication over
addition |
Pre-March |
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6.N.4 |
Define and identify the identity and inverse properties of addition and
multiplication |
Pre-March |
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6.N.5 |
Define and identify the zero property of multiplication |
Pre-March |
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6.N.6 |
Understand the concept of rate |
Pre-March |
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6.N.7 |
Express equivalent ratios as a proportion |
Pre-March |
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6.N.8 |
Distinguish the difference between rate and ratio |
Pre-March |
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6.N.9 |
Solve proportions using equivalent fractions |
Pre-March |
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6.N.10 |
Verify the proportionality using the product of the means equals the product
of the extremes |
Pre-March |
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6.N.11 |
Read, write, and identify percents of a whole (0% to 100%) |
Pre-March |
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6.N.12 |
Solve percent problems involving percent, rate, and base |
Pre-March |
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6.N.13 |
Define absolute value and determine the absolute value of rational numbers
(including positive and negative) |
Pre-March |
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6.N.14 |
Locate rational numbers on a number line (including positive and negative) |
Pre-March |
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6.N.15 |
Order rational numbers (including positive and negative) |
Pre-March |
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Grade 7 |
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7.N.1 |
Distinguish between the various subsets of real numbers (counting/natural
numbers, whole numbers, integers, rational numbers, and irrational numbers) |
Pre-March |
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7.N.2 |
Recognize the difference between rational and irrational numbers (e.g.,
explore different approximations of
π) |
Pre-March |
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7.N.3 |
Place rational and irrational numbers (approximations) on a number line and
justify the placement of the numbers |
Pre-March |
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7.N.4 |
Develop the laws of exponents for multiplication and division |
Pre-March |
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7.N.5 |
Write numbers in scientific notation |
Pre-March |
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7.N.6 |
Translate numbers from scientific notation into standard form |
Pre-March |
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7.N.7 |
Compare numbers written in scientific notation |
Pre-March |
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Grade 8 |
NONE |
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Number Theory
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Grade 3 |
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3.N.16
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Identify odd and even numbers |
Pre-March |
3.N.17
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Develop an understanding of the properties of odd/even numbers as a result
of addition or subtraction |
Pre-March |
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Grade 4 |
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4.N.13
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Develop an understanding of the properties of odd/even numbers as a result
of multiplication |
Pre-March |
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Grade 5 |
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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
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Calculate multiples of a whole number and the least common multiple of two
numbers |
Pre-March |
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5.N.14 |
Identify the factors of a given number |
Pre-March |
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5.N.15 |
Find the common factors and the greatest common factor of two numbers |
Pre-March |
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Grade 6 |
None |
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Grade 7 |
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7.N.8 |
Find the common factors and greatest common factor of two or more numbers |
Pre-March |
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7.N.9 |
Determine multiples and least common multiple of two or more numbers |
Pre-March |
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7.N.10 |
Determine the prime factorization of a given number and write in exponential
form |
Pre-March |
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Grade 8 |
NONE |
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Operations
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Grade 3 |
