Mathematics Standards
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Counting and Cardinality
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Interpreting Categorical and Quantitative Data
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Measurement and Data
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Operations and Algebraic Thinking
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Reasoning with Equations and Inequalities
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Showing 81 - 90 of 149 Standards
Standard Identifier: 5.MD.3.b
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
Standard Identifier: 5.MD.4
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
Standard Identifier: 5.MD.5.a
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
Standard Identifier: 5.MD.5.b
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems.
Standard Identifier: 5.MD.5.c
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real-world problems.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real-world problems.
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.
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.
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
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.
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: A-REI.1
Grade Range:
7–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Algebra I
Conceptual Category:
Algebra
Cluster:
Understand solving equations as a process of reasoning and explain the reasoning. [Master linear; learn as general principle.]
Standard:
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Understand solving equations as a process of reasoning and explain the reasoning. [Master linear; learn as general principle.]
Standard:
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Showing 81 - 90 of 149 Standards
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