# National STEM Standards

MathMath ScienceScience
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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. Count with understanding and recognize ''how many'' in sets of objects.
Vocabulary Terms Odd and Even
Vocabulary Terms Sequencing
Vocabulary Terms Skip Counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd and Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequencing
Quiz, Flash Cards, Worksheet, Game & Study Guide Skip Counting

1.1.2. Use multiple models to develop initial understandings of place value and the base-ten number system.
Vocabulary Terms Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value

1.1.3. Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections.
Flip Charts Number Order
Flip Charts Ordinal Numbers
Vocabulary Terms Greater Than, Less Than
Vocabulary Terms Ordinals
Vocabulary Terms Sequencing
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than, Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Numbers and Objects by Size
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordinals
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequencing
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Number Line

1.1.4. Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.
Flip Charts More or Less
Flip Charts Number Order
Flip Charts Subtraction Facts
Vocabulary Terms Commutative Property
Vocabulary Terms Odd and Even
Vocabulary Terms One Less, One More
Vocabulary Terms Place Value
Vocabulary Terms Sequencing
Vocabulary Terms Skip Counting
Vocabulary Terms Story Problems
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd and Even
Quiz, Flash Cards, Worksheet, Game & Study Guide One Less, One More
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequencing
Quiz, Flash Cards, Worksheet, Game & Study Guide Skip Counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Number Line

1.1.5. Connect number words and numerals to the quantities they represent, using various physical models and representations.
Flip Charts More or Less
Flip Charts Number 1
Flip Charts Number 10
Flip Charts Number 2
Flip Charts Number 3
Flip Charts Number 4
Flip Charts Number 5
Flip Charts Number 6
Flip Charts Number 7
Flip Charts Number 8
Flip Charts Number 9
Flip Charts Number Order
Flip Charts Numbers
Vocabulary Terms Commutative Property
Vocabulary Terms Odd and Even
Vocabulary Terms One Less, One More
Vocabulary Terms Place Value
Vocabulary Terms Sequencing
Vocabulary Terms Skip Counting
Vocabulary Terms Story Problems
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd and Even
Quiz, Flash Cards, Worksheet, Game & Study Guide One Less, One More
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequencing
Quiz, Flash Cards, Worksheet, Game & Study Guide Skip Counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Number Line

1.1.6. Understand and represent commonly used fractions, such as 1/4, 1/3, and 1/2.
Flip Charts Fractions
Vocabulary Terms Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

1.2. Understand meanings of operations and how they relate to one another.
1.2.1. Understand various meanings of addition and subtraction of whole numbers and the relationship between the two operations.
Flip Charts Counting 1-100
Flip Charts Number Order
Flip Charts Subtraction
Flip Charts Subtraction Facts
Vocabulary Terms Commutative Property
Vocabulary Terms Story Problems
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts

1.2.2. Understand the effects of adding and subtracting whole numbers.
Flip Charts Counting 1-100
Flip Charts Number Order
Flip Charts Subtraction
Flip Charts Subtraction Facts
Vocabulary Terms Commutative Property
Vocabulary Terms Story Problems
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts

1.3. Compute fluently and make reasonable estimates.
1.3.1. Develop and use strategies for whole-number computations, with a focus on addition and subtraction.
Flip Charts Counting 1-100
Flip Charts Number Order
Flip Charts Subtraction
Flip Charts Subtraction Facts
Vocabulary Terms Commutative Property
Vocabulary Terms One Less, One More
Vocabulary Terms Story Problems
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide One Less, One More
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Number Line

1.3.2. Develop fluency with basic number combinations for addition and subtraction.
Flip Charts Counting 1-100
Flip Charts Number Order
Flip Charts Subtraction
Flip Charts Subtraction Facts
Vocabulary Terms Commutative Property
Vocabulary Terms One Less, One More
Vocabulary Terms Story Problems
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide One Less, One More
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Number Line

NCTM.11. Kindergarten Curriculum Focal Points
11.1. Number and Operation: Representing, comparing, and ordering whole numbers and joining and separating sets
11.1.1. Children use numbers, including written numerals, to represent quantities and to solve quantitative problems, such as counting objects in a set, creating a set with a given number of objects, comparing and ordering sets or numerals by using both cardinal
Flip Charts Black/White
Flip Charts Blue
Flip Charts Brown
Flip Charts Categories - Food
Flip Charts Categorizing
Flip Charts Gray
Flip Charts Green
Flip Charts Hot & Cold
Flip Charts Matching
Flip Charts More or Less
Flip Charts Number 1
Flip Charts Number 10
Flip Charts Number 2
Flip Charts Number 3
Flip Charts Number 4
Flip Charts Number 5
Flip Charts Number 6
Flip Charts Number 7
Flip Charts Number 8
Flip Charts Number 9
Flip Charts Number Order
Flip Charts Numbers
Flip Charts Orange
Flip Charts Ordinal Numbers
Flip Charts Pink
Flip Charts Purple
Flip Charts Red
Flip Charts Sorting
Flip Charts Wet & Dry
Flip Charts Yellow
Vocabulary Terms Attributes
Vocabulary Terms Commutative Property
Vocabulary Terms One Less, One More
Vocabulary Terms Ordinals
Vocabulary Terms Story Problems
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Attributes
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide One Less, One More
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Numbers and Objects by Size
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordinals
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Number Line

11.2. Geometry: Describing shapes and space
11.2.1. Children interpret the physical world with geometric ideas (e.g., shape, orientation, spatial relations) and describe it with corresponding vocabulary. They identify, name, and describe a variety of shapes, such as squares, triangles, circles, rectangles,
Flip Charts Plane Shapes
Flip Charts Solid Shapes
Vocabulary Terms Shapes
Vocabulary Terms Symmetry
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry

11.3. Measurement: Ordering objects by measurable attributes
11.3.1. Children use measurable attributes, such as length or weight, to solve problems by comparing and ordering objects. They compare the lengths of two objects both directly (by comparing them with each other) and indirectly (by comparing both with a third obj
Flip Charts Big & Little
Flip Charts Few & Many
Flip Charts Full & Empty
Flip Charts Long & Short
Vocabulary Terms Attributes
Quiz, Flash Cards, Worksheet, Game & Study Guide Attributes
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Numbers and Objects by Size

NCTM.12. Connections to the Kindergarten Focal Points
12.2. Geometry: Children integrate their understandings of geometry, measurement, and number. For example, they understand, discuss, and create simple navigational directions (e.g., ''Walk forward 10 steps, turn right, and walk forward 5 steps'').
Flip Charts In & Out
Flip Charts On & Off
Flip Charts Over & Under
Flip Charts Up & Down

12.3. Algebra: Children identify, duplicate, and extend simple number patterns and sequential and growing patterns (e.g., patterns made with shapes) as preparation for creating rules that describe relationships.
Flip Charts Patterns I (abab)
Vocabulary Terms Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

NCTM.2. Algebra
2.1. Understand patterns, relations, and functions.
2.1.1. Sort, classify, and order objects by size, number, and other properties.
Flip Charts Big & Little
Flip Charts Black/White
Flip Charts Blue
Flip Charts Brown
Flip Charts Categories - Food
Flip Charts Categorizing
Flip Charts Few & Many
Flip Charts Full & Empty
Flip Charts Gray
Flip Charts Green
Flip Charts Hot & Cold
Flip Charts Long & Short
Flip Charts Matching
Flip Charts Orange
Flip Charts Pink
Flip Charts Plane Shapes
Flip Charts Purple
Flip Charts Red
Flip Charts Solid Shapes
Flip Charts Sorting
Flip Charts Wet & Dry
Flip Charts Yellow
Vocabulary Terms Attributes
Vocabulary Terms Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Attributes
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Numbers and Objects by Size
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes

2.1.2. Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another.
Flip Charts Patterns I (abab)
Vocabulary Terms Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

2.1.3. Analyze how both repeating and growing patterns are generated.
Flip Charts Patterns I (abab)
Vocabulary Terms Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

2.2. Represent and analyze mathematical situations and structures using algebraic symbols.
2.2.1. Illustrate general principles and properties of operations, such as commutativity, using specific numbers.
Vocabulary Terms Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property

2.2.2. Use concrete, pictorial, and verbal representations to develop an understanding of invented and conventional symbolic notations.
Flip Charts Subtraction Facts
Vocabulary Terms Commutative Property
Vocabulary Terms Story Problems
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts

2.3. Use mathematical models to represent and understand quantitative relationships.
2.3.1. Model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols.
Vocabulary Terms Commutative Property
Vocabulary Terms One Less, One More
Vocabulary Terms Story Problems
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide One Less, One More
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Number Line

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. Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes.
Flip Charts Plane Shapes
Flip Charts Solid Shapes
Vocabulary Terms Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes

3.1.2. Describe attributes and parts of two- and three-dimensional shapes.
Flip Charts Plane Shapes
Flip Charts Solid Shapes
Vocabulary Terms Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes

3.2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.
3.2.1. Describe, name, and interpret relative positions in space and apply ideas about relative position.
Flip Charts In & Out
Flip Charts On & Off
Flip Charts Over & Under
Flip Charts Up & Down
Vocabulary Terms Relative Position
Quiz, Flash Cards, Worksheet, Game & Study Guide Relative Position

3.2.2. Describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance.
Flip Charts In & Out
Flip Charts On & Off
Flip Charts Over & Under
Flip Charts Up & Down
Vocabulary Terms Relative Position
Quiz, Flash Cards, Worksheet, Game & Study Guide Relative Position

3.2.3. Find and name locations with simple relationships such as ''near to'' and in coordinate systems such as maps.
Flip Charts In & Out
Flip Charts On & Off
Flip Charts Over & Under
Flip Charts Up & Down
Vocabulary Terms Relative Position
Quiz, Flash Cards, Worksheet, Game & Study Guide Relative Position

3.3. Apply transformations and use symmetry to analyze mathematical situations.
3.3.2. Recognize and create shapes that have symmetry.
Vocabulary Terms Symmetry
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry

3.4. Use visualization, spatial reasoning, and geometric modeling to solve problems.
3.4.4. Recognize geometric shapes and structures in the environment and specify their location.
Flip Charts Plane Shapes
Flip Charts Solid Shapes
Vocabulary Terms Shapes
Vocabulary Terms Symmetry
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry

NCTM.4. Measurement
4.1. Understand measurable attributes of objects and the units, systems, and processes of measurement.
4.1.1. Recognize the attributes of length, volume, weight, area, and time.
Flip Charts Calendar
Flip Charts Hour/Half Hour
Flip Charts How long?
Flip Charts Measuring Length
Flip Charts Telling Time
Flip Charts Time
Flip Charts What time of day?
Vocabulary Terms Days of the Week
Vocabulary Terms Measurement
Vocabulary Terms Months of the Year
Vocabulary Terms Telling Time
Quiz, Flash Cards, Worksheet, Game & Study Guide Days of the Week
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Months of the Year
Quiz, Flash Cards, Worksheet, Game & Study Guide Telling Time

4.1.2. Compare and order objects according to these attributes.
Flip Charts Big & Little
Flip Charts Few & Many
Flip Charts Full & Empty
Flip Charts Long & Short
Vocabulary Terms Attributes
Quiz, Flash Cards, Worksheet, Game & Study Guide Attributes
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Numbers and Objects by Size

4.1.3. Understand how to measure using nonstandard and standard units.
Flip Charts How long?
Flip Charts Liquid Measure
Flip Charts Measuring Length
Vocabulary Terms Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

4.1.4. Select an appropriate unit and tool for the attribute being measured.
Flip Charts How long?
Flip Charts Measuring
Flip Charts Measuring Length
Flip Charts Temperature
Vocabulary Terms Measurement
Vocabulary Terms Temperature
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Temperature

4.2. Apply appropriate techniques, tools, and formulas to determine measurements.
4.2.3. Use tools to measure.
Flip Charts How long?
Flip Charts Liquid Measure