Mathematics Standards
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Showing 41 - 50 of 75 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: 6.NS.1
Grade:
6
Domain:
The Number System
Cluster:
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Standard:
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Standard:
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
Standard Identifier: 6.NS.2
Grade:
6
Domain:
The Number System
Cluster:
Compute fluently with multi-digit numbers and find common factors and multiples.
Standard:
Fluently divide multi-digit numbers using the standard algorithm.
Compute fluently with multi-digit numbers and find common factors and multiples.
Standard:
Fluently divide multi-digit numbers using the standard algorithm.
Standard Identifier: 6.NS.3
Grade:
6
Domain:
The Number System
Cluster:
Compute fluently with multi-digit numbers and find common factors and multiples.
Standard:
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Compute fluently with multi-digit numbers and find common factors and multiples.
Standard:
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Standard Identifier: 6.NS.4
Grade:
6
Domain:
The Number System
Cluster:
Compute fluently with multi-digit numbers and find common factors and multiples.
Standard:
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
Compute fluently with multi-digit numbers and find common factors and multiples.
Standard:
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
Standard Identifier: 6.NS.5
Grade:
6
Domain:
The Number System
Cluster:
Apply and extend previous understandings of numbers to the system of rational numbers.
Standard:
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
Apply and extend previous understandings of numbers to the system of rational numbers.
Standard:
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
Showing 41 - 50 of 75 Standards
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