NCTM Standards & Expectations
Find MathVIDS Teaching Plans that address the following NCTM Standards & Expectations:
Number and Operations 

Algebra 
Standard: Understand numbers, ways of representing numbers, relationships among numbers, and number systems 

Standard: Understand patterns, relations, and functions 





Standard: Understand meanings of operations and how they relate to one another 

Standard: Represent and analyze mathematical situations and structures using algebraic symbols 





Standard: Compute fluently and make reasonable estimates 



Number and Operations 

Standard: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

PreK–2 Expectations:
In prekindergarten through grade 2 all students should–

• 
count with understanding and recognize "how many" in sets of objects;
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• 
use multiple models to develop initial understandings of place value and the baseten number system;
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• 
develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections;
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• 
develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers;
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Grades 3–5 Expectations:
In grades 3–5 all students should–

• 
understand the placevalue structure of the baseten number system and be able to represent and compare whole numbers and decimals;
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• 
recognize equivalent representations for the same number and generate them by decomposing and composing numbers;
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• 
use models, benchmarks, and equivalent forms to judge the size of fractions;
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• 
recognize and generate equivalent forms of commonly used fractions, decimals, and percents;
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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–

• 
understand the effects of multiplying and dividing whole numbers;
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Standard: Compute fluently and make reasonable estimates
PreK–2 Expectations:
In prekindergarten through grade 2 all students should–

• 
develop and use strategies for wholenumber computations, with a focus on addition and subtraction;
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• 
develop fluency with basic number combinations for addition and subtraction;
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Grades 3–5 Expectations:
In grades 3–5 all students should–

• 
develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems, such as 30x50;
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• 
develop fluency in adding, subtracting, multiplying, and dividing whole numbers;
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• 
develop and use strategies to estimate the results of wholenumber computations and to judge the reasonableness of such results;
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• 
use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals;
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Algebra 

Standard: Understand patterns, relations, and functions

PreK–2 Expectations:
In prekindergarten through grade 2 all students should–

• 
sort, classify, and order objects by size, number, and other properties;
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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;
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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–

• 
identify such properties as commutativity, associativity, and distributivity and use them to compute with whole numbers;
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