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NCTM Standards & Expectations
Find MathVIDS Teaching Plans that address the following NCTM Standards & Expectations:
| Number and Operations |
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Algebra |
| Standard: Understand numbers, ways of representing numbers, relationships among numbers, and number systems |
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Standard: Understand patterns, relations, and functions |
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| Standard: Understand meanings of operations and how they relate to one another |
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Standard: Represent and analyze mathematical situations and structures using algebraic symbols |
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| Standard: Compute fluently and make reasonable estimates |
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| Number and Operations |
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Standard: Understand numbers, ways of representing numbers, relationships among numbers, and number systems
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Pre-K–2 Expectations:
In prekindergarten through grade 2 all students should–
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count with understanding and recognize "how many" in sets of objects;
Related MathVIDS Teaching Plans:
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use multiple models to develop initial understandings of place value and the base-ten number system;
Related MathVIDS Teaching Plans:
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develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections;
Related MathVIDS Teaching Plans:
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develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers;
Related MathVIDS Teaching Plans:
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Grades 3–5 Expectations:
In grades 3–5 all students should–
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understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals;
Related MathVIDS Teaching Plans:
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recognize equivalent representations for the same number and generate them by decomposing and composing numbers;
Related MathVIDS Teaching Plans:
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use models, benchmarks, and equivalent forms to judge the size of fractions;
Related MathVIDS Teaching Plans:
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recognize and generate equivalent forms of commonly used fractions, decimals, and percents;
Related MathVIDS Teaching Plans:
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Standard: Understand meanings of operations and how they relate to one another
Grades 3–5 Expectations:
In grades 3–5 all students should–
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understand the effects of multiplying and dividing whole numbers;
Related MathVIDS Teaching Plans:
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Standard: Compute fluently and make reasonable estimates
Pre-K–2 Expectations:
In prekindergarten through grade 2 all students should–
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develop and use strategies for whole-number computations, with a focus on addition and subtraction;
Related MathVIDS Teaching Plans:
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develop fluency with basic number combinations for addition and subtraction;
Related MathVIDS Teaching Plans:
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Grades 3–5 Expectations:
In grades 3–5 all students should–
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develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems, such as 30x50;
Related MathVIDS Teaching Plans:
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develop fluency in adding, subtracting, multiplying, and dividing whole numbers;
Related MathVIDS Teaching Plans:
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develop and use strategies to estimate the results of whole-number computations and to judge the reasonableness of such results;
Related MathVIDS Teaching Plans:
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use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals;
Related MathVIDS Teaching Plans:
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| Algebra |
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Standard: Understand patterns, relations, and functions
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Pre-K–2 Expectations:
In prekindergarten through grade 2 all students should–
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sort, classify, and order objects by size, number, and other properties;
Related MathVIDS Teaching Plans:
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recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another;
Related MathVIDS Teaching Plans:
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Standard: Represent and analyze mathematical situations and structures using algebraic symbols
Grades 3–5 Expectations:
In grades 3–5 all students should–
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identify such properties as commutativity, associativity, and distributivity and use them to compute with whole numbers;
Related MathVIDS Teaching Plans:
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