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Mathematics Standards




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Showing 31 - 40 of 47 Standards

Standard Identifier: 4.OA.5

Grade: 4
Domain: Operations and Algebraic Thinking

Cluster:
Generate and analyze patterns.

Standard:
Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

Standard Identifier: 5.OA.1

Grade: 5
Domain: Operations and Algebraic Thinking

Cluster:
Write and interpret numerical expressions.

Standard:
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Standard Identifier: 5.OA.2

Grade: 5
Domain: Operations and Algebraic Thinking

Cluster:
Write and interpret numerical expressions.

Standard:
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Standard Identifier: 5.OA.2.1

Grade: 5
Domain: Operations and Algebraic Thinking

Cluster:
Write and interpret numerical expressions.

Standard:
Express a whole number in the range 2–50 as a product of its prime factors. For example, find the prime factors of 24 and express 24 as 2 × 2 × 2 × 3. CA

Standard Identifier: 5.OA.3

Grade: 5
Domain: Operations and Algebraic Thinking

Cluster:
Analyze patterns and relationships.

Standard:
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Standard Identifier: N-CN.1

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]

Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.

Standard Identifier: N-CN.2

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]

Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

Standard Identifier: N-CN.7

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]

Standard:
Solve quadratic equations with real coefficients that have complex solutions.

Standard Identifier: N-CN.8

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]

Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).

Standard Identifier: N-CN.9

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]

Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

Showing 31 - 40 of 47 Standards


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