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## STEM.M.MATHEMATICS: National Council of Teachers of Mathematics (NCTM)

MATHEMATICS: National Council of Teachers of Mathematics (NCTM)
NCTM.1. Number and Operations
1.1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
1.1.1. Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.
Flip Charts All About Decimals
Flip Charts All About Decimals
Flip Charts Box It Up
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Estimation
Vocabulary Terms Expanding Numbers
Vocabulary Terms Greater Than/Less Than
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Ordering Decimals
Vocabulary Terms Place Value
Vocabulary Terms Place Value
Vocabulary Terms Place Value
Vocabulary Terms Rounding Numbers
Vocabulary Terms Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding to Nearest 10
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

1.1.2. Recognize equivalent representations for the same number and generate them by decomposing and composing numbers.
Flip Charts Box It Up
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Vocabulary Terms Expanding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers

1.1.3. Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Flip Charts Our Atmosphere
Flip Charts Triangle Tricks
Vocabulary Terms Add/Subtract Decimals
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Comparing Fractions
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

1.1.4. Use models, benchmarks, and equivalent forms to judge the size of fractions.
Flip Charts Box It Up
Flip Charts Math Grade 3
Flip Charts Triangle Tricks
Vocabulary Terms Comparing Fractions
Vocabulary Terms Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

1.1.5. Recognize and generate equivalent forms of commonly used fractions, decimals, and percents.
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Flip Charts Triangle Tricks
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Percents

1.1.6. Explore numbers less than 0 by extending the number line and through familiar applications.
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Positive & Negative Integers

1.2. Understand meanings of operations and how they relate to one another.
1.2.1. Understand various meanings of multiplication and division.
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Division

1.2.2. Understand the effects of multiplying and dividing whole numbers.
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Quiz, Flash Cards, Worksheet, Game & Study Guide Division

1.2.3. Identify and use relationships between operations, such as division as the inverse of multiplication, to solve problems.
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

1.2.4. Understand and use properties of operations, such as the distributivity of multiplication over addition.
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

1.3. Compute fluently and make reasonable estimates.
1.3.1. Develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems, such as 30 x 50.
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

1.3.2. Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Flip Charts Step It Up
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms Double Digit Addition
Vocabulary Terms Double Digit Subtraction
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Regrouping
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide 4 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition/Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

1.3.3. Develop and use strategies to estimate the results of whole-number computations and to judge the reasonableness of such results.
Vocabulary Terms Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

1.3.5. Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.
Flip Charts Math Grade 4
Vocabulary Terms Add/Subtract Decimals
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

1.3.6. Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Flip Charts Step It Up
Vocabulary Terms Division
Vocabulary Terms Double Digit Addition
Vocabulary Terms Double Digit Subtraction
Vocabulary Terms Estimation
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Regrouping
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide 4 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition/Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

NCTM.11. Grade 4 Curriculum Focal Points
11.1. Number and Operations and Algebra: Developing quick recall of multiplication facts and related division facts and fluency with whole number multiplication
11.1.1. Students use understandings of multiplication to develop quick recall of the basic multiplication facts and related division facts. They apply their understanding of models for multiplication (i.e., equal-sized groups, arrays, area models, equal intervals on the number line), place value, and properties of operations (in particular, the distributive property) as they develop, discuss, and use efficient, accurate, and generalizable methods to multiply multi-digit whole numbers. They select appropriate methods and apply them accurately to estimate products or calculate them mentally, depending on the context and numbers involved. They develop fluency with efficient procedures, including the standard algorithm, for multiplying whole numbers, understand why the procedures work (on the basis of place value and properties of operations), and use them to solve problems.
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Division
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Vocabulary Terms Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

11.2. Number and Operations: Developing an understanding of decimals, including the connections between fractions and decimals
11.2.1. Students understand decimal notation as an extension of the base-ten system of writing whole numbers that is useful for representing more numbers, including numbers between 0 and 1, between 1 and 2, and so on. Students relate their understanding of fractions to reading and writing decimals that are greater than or less than 1, identifying equivalent decimals, comparing and ordering decimals, and estimating decimal or fractional amounts in problem solving. They connect equivalent fractions and decimals by comparing models to symbols and locating equivalent symbols on the number line.
Flip Charts All About Decimals
Flip Charts All About Decimals
Flip Charts Box It Up
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Decimals
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Ordering Decimals
Vocabulary Terms Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Percents

11.3. Measurement: Developing an understanding of area and determining the areas of two-dimensional shapes
11.3.1. Students recognize area as an attribute of two-dimensional regions. They learn that they can quantify area by finding the total number of same-sized units of area that cover the shape without gaps or overlaps. They understand that a square that is 1 unit on a side is the standard unit for measuring area. They select appropriate units, strategies (e.g., decomposing shapes), and tools for solving problems that involve estimating or measuring area. Students connect area measure to the area model that they have used to represent multiplication, and they use this connection to justify the formula for the area of a rectangle.
Flip Charts Math Grade 4
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

NCTM.12. Connections to the Grade 4 Focal Points
12.1. Algebra: Students continue identifying, describing, and extending numeric patterns involving all operations and nonnumeric growing or repeating patterns. Through these experiences, they develop an understanding of the use of a rule to describe a sequence of numbers or objects.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

12.2. Geometry: Students extend their understanding of properties of two-dimensional shapes as they find the areas of polygons. They build on their earlier work with symmetry and congruence in grade 3 to encompass transformations, including those that produce line and rotational symmetry. By using transformations to design and analyze simple tilings and tessellations, students deepen their understanding of two-dimensional space.
Flip Charts Math Grade 4
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry

12.3. Measurement: As part of understanding two-dimensional shapes, students measure and classify angles.
Flip Charts Math Grade 5
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

12.4. Data Analysis: Students continue to use tools from grade 3, solving problems by making frequency tables, bar graphs, picture graphs, and line plots. They apply their understanding of place value to develop and use stem-and-leaf plots.
Flip Charts Math Grade 5
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Tables

12.5. Number and Operations: Building on their work in grade 3, students extend their understanding of place value and ways of representing numbers to 100,000 in various contexts. They use estimation in determining the relative sizes of amounts or distances. Students develop understandings of strategies for multi-digit division by using models that represent division as the inverse of multiplication, as partitioning, or as successive subtraction. By working with decimals, students extend their ability to recognize equivalent fractions. Students' earlier work in grade 3 with models of fractions and multiplication and division facts supports their understanding of techniques for generating equivalent fractions and simplifying fractions.
Flip Charts Box It Up
Flip Charts Columns Across
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Flip Charts Our Atmosphere
Flip Charts Triangle Tricks
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Estimation
Vocabulary Terms Division/Multiplication
Vocabulary Terms Place Value
Vocabulary Terms Simplify Fractions
Vocabulary Terms Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

NCTM.2. Algebra
2.1. Understand patterns, relations, and functions.
2.1.1. Describe, extend, and make generalizations about geometric and numeric patterns.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

2.1.2. Represent and analyze patterns and functions, using words, tables, and graphs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

2.2. Represent and analyze mathematical situations and structures using algebraic symbols.
2.2.1. Identify such properties as commutativity, associativity, and distributivity and use them to compute with whole numbers.
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

2.2.2. Represent the idea of a variable as an unknown quantity using a letter or a symbol.
Flip Charts Math Grade 5

2.2.3. Express mathematical relationships using equations.
Flip Charts Math Grade 5
Vocabulary Terms Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine the One Operation Function
Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Open Number Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

2.3. Use mathematical models to represent and understand quantitative relationships.
2.3.1. Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
Flip Charts Box It Up
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Math Grade 4
Flip Charts Our Atmosphere
Flip Charts Step It Up
Flip Charts Triangle Tricks
Vocabulary Terms Add/Subtract Decimals
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Common Factors
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Comparing Fractions
Vocabulary Terms Decimals
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms Double Digit Addition
Vocabulary Terms Double Digit Subtraction
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Estimation
Vocabulary Terms Evaluate Open Sentences
Vocabulary Terms Expanding Numbers
Vocabulary Terms Greater Than/Less Than
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Counting Money
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Odd/Even Numbers
Vocabulary Terms Ordering Decimals
Vocabulary Terms Order of Operations
Vocabulary Terms Percents
Vocabulary Terms Place Value
Vocabulary Terms Place Value
Vocabulary Terms Place Value
Vocabulary Terms Ratio
Vocabulary Terms Regrouping
Vocabulary Terms Rounding Numbers
Vocabulary Terms Simplify Fractions
Vocabulary Terms Word Problems
Vocabulary Terms Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide 4 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Money
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition/Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Common Factors
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine the One Operation Function
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Giving Change from \$1.00
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Money
Quiz, Flash Cards, Worksheet, Game & Study Guide Counting Money
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words to 1,000
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Open Number Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Positive & Negative Integers
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding to Nearest 10
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Skip Counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

2.4. Analyze change in various contexts.
2.4.2. Identify and describe situations with constant or varying rates of change and compare them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

NCTM.3. Geometry
3.1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
3.1.1. Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.
Flip Charts Dot to Dot
Flip Charts Lines & Angles
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Flip Charts Polygons
Flip Charts Polygons
Flip Charts Shape Up
Vocabulary Terms Angles
Vocabulary Terms Congruent Shapes
Vocabulary Terms Shapes
Vocabulary Terms Polygon Characteristics
Vocabulary Terms Lines and Angles
Vocabulary Terms Perimeter
Vocabulary Terms Perimeter
Vocabulary Terms Perimeter
Vocabulary Terms Plot Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

3.1.2. Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids.
Flip Charts Math Grade 4
Flip Charts Polygons
Flip Charts Polygons
Flip Charts Shape Up
Vocabulary Terms Congruent Shapes
Vocabulary Terms Shapes
Vocabulary Terms Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces

3.1.3. Investigate, describe, and reason about the results of subdividing, combining, and transforming shapes.
Flip Charts Math Grade 5

3.1.4. Explore congruence and similarity.
Flip Charts Math Grade 5
Vocabulary Terms Congruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes

3.2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.
3.2.1. Describe location and movement using common language and geometric vocabulary.
Vocabulary Terms Plot Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

3.2.2. Make and use coordinate systems to specify locations and to describe paths.
Vocabulary Terms Plot Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Tables
Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

3.3. Apply transformations and use symmetry to analyze mathematical situations.
3.3.1. Predict and describe the results of sliding, flipping, and turning two-dimensional shapes.
Flip Charts Math Grade 5

3.3.2. Describe a motion or a series of motions that will show that two shapes are congruent.
Flip Charts Math Grade 5

3.3.3. Identify and describe line and rotational symmetry in two- and three-dimensional shapes and designs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry

3.4. Use visualization, spatial reasoning, and geometric modeling to solve problems.
3.4.1. Build and draw geometric objects.
Vocabulary Terms Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles

3.4.5. Use geometric models to solve problems in other areas of mathematics, such as number and measurement.
Flip Charts Dot to Dot
Flip Charts Math Grade 4
Flip Charts Shape Up
Vocabulary Terms Perimeter
Vocabulary Terms Perimeter
Vocabulary Terms Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

3.4.6. Recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life.
Flip Charts Shape Up
Vocabulary Terms Congruent Shapes
Vocabulary Terms Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces

NCTM.4. Measurement
4.1. Understand measurable attributes of objects and the units, systems, and processes of measurement.
4.1.1. Understand such attributes as length, area, weight, volume, and size of angle and select the appropriate type of unit for measuring each attribute.
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine Appropriate Standard of Units
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

4.1.2. Understand the need for measuring with standard units and become familiar with standard units in the customary and metric systems.
Flip Charts Math Grade 4
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine Appropriate Standard of Units
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure

4.1.3. Carry out simple unit conversions, such as from centimeters to meters, within a system of measurement.
Flip Charts Math Grade 4
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

4.1.4. Understand that measurements are approximations and how differences in units affect precision.
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine Appropriate Standard of Units
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure

4.2. Apply appropriate techniques, tools, and formulas to determine measurements.
4.2.2. Select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles.
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine Appropriate Standard of Units
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Temperature
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

4.2.4. Develop, understand, and use formulas to find the area of rectangles and related triangles and parallelograms.
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

NCTM.5. Data Analysis and Probability
5.1. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.
5.1.1. Design investigations to address a question and consider how data-collection methods affect the nature of the data set.
Flip Charts Math Grade 5

5.1.2. Collect data using observations, surveys, and experiments.
Flip Charts Math Grade 5
Vocabulary Terms Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis

5.2. Select and use appropriate statistical methods to analyze data.
5.2.2. Use measures of center, focusing on the median, and understand what each does and does not indicate about the data set.
Flip Charts Math Grade 5
Vocabulary Terms Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

5.3. Develop and evaluate inferences and predictions that are based on data.
5.3.1. Propose and justify conclusions and predictions that are based on data and design studies to further investigate the conclusions or predictions.
Flip Charts Math Grade 5

5.4. Understand and apply basic concepts of probability.
5.4.1. Describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible.
Flip Charts Math Grade 5
Vocabulary Terms Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

5.4.3. Understand that the measure of the likelihood of an event can be represented by a number from 0 to 1.
Flip Charts Math Grade 5
Vocabulary Terms Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

NCTM.6. Problem Solving
6.1. Build new mathematical knowledge through problem solving.
Flip Charts Math Grade 3

6.2. Solve problems that arise in mathematics and in other contexts.
Flip Charts Math Grade 3

6.3. Apply and adapt a variety of appropriate strategies to solve problems.
Flip Charts Math Grade 3

NCTM.9. Connections
9.2. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.
Flip Charts Math Grade 3

Science