Mathematics Standards
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Circles
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Conditional Probability and the Rules of Probability
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Geometric Measurement and Dimension
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Geometry
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Interpreting Categorical and Quantitative Data
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Number and Operations in Base Ten
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Operations and Algebraic Thinking
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The Number System
Results
Showing 91 - 100 of 218 Standards
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: 6.G.1
Grade:
6
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Standard Identifier: 6.G.2
Grade:
6
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Standard Identifier: 6.G.3
Grade:
6
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Standard Identifier: 6.G.4
Grade:
6
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical 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.
Showing 91 - 100 of 218 Standards
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