Teaching Strategies GOLD | Preschool Academic Standards | HighScope COR | Colorado Building Blocks | Head Start Child Development & Early Learning Framework |
20 - Uses number concepts and operations a - Counts 2 - Verbally counts (not always in the correct order) |
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20 - Uses number concepts and operations a - Counts 4 - Verbally counts to 10; counts up to five objects accurately, using one number name for each object |
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20 - Uses number concepts and operations a - Counts 6 - Verbally counts to 20; counts 10-20 objects accurately; knows the last number states how many in all; tells what number (1-10) comes next in order by counting |
Math Number Sense, Properties and Operations 1 - Quantities can be represented and counted a - Count and represent objects including coins to 10 (PFL) |
Mathematics and Science BB - Counting 3 - Child counts or responds to a request for 5 to 10 objects. |
Mathematics 2 - Numbers and Operations Children show interest and curiosity in counting and grouping objects and numbers. b - Begin to use numbers and counting as a means for solving problems, predicting and measuring quantity. Use one-to-one correspondence in counting objects and matching groups of objects. |
Mathematics Knowledge & Skills Number Concepts & Quantities: The understanding that numbers represent quantities and have ordinal properties (number words represent a rank order, particular size, or position in a list). Uses one-to-one counting and subitizing (identifying the number of objects without counting) to determine quantity. |
20 - Uses number concepts and operations a - Counts 8 - Uses number names while counting to 100; counts 30 objects accurately; tells what number comes before and after a specified number up to 20 |
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20 - Uses number concepts and operations b - Quantifies 2 - Demonstrates understanding of the concepts of one, two, and more |
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20 - Uses number concepts and operations b - Quantifies 4 - Recognizes and names the number of items in a small set (up to five) instantly; combines and separates up to five objects and describes the parts |
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20 - Uses number concepts and operations b - Quantifies 6 - Makes sets of 6-10 objects and then describes the parts; identifies which part has more, less, or the same (equal); counts all or counts on to find out how many |
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20 - Uses number concepts and operations b - Quantifies 8 - Uses a variety of strategies (counting objects or fingers, counting on, or counting back) to solve problems with more than 10 objects |
Math Number Sense, Properties and Operations 1 - Quantities can be represented and counted a - Count and represent objects including coins to 10 (PFL) |
Mathematics and Science BB - Counting 3 - Child counts or responds to a request for 5 to 10 objects. |
Mathematics 2 - Numbers and Operations Children show interest and curiosity in counting and grouping objects and numbers. b - Begin to use numbers and counting as a means for solving problems, predicting and measuring quantity. Use one-to-one correspondence in counting objects and matching groups of objects. |
Mathematics Knowledge & Skills Number Concepts & Quantities: The understanding that numbers represent quantities and have ordinal properties (number words represent a rank order, particular size, or position in a list). Uses one-to-one counting and subitizing (identifying the number of objects without counting) to determine quantity. |
20 - Uses number concepts and operations c - Connects numerals with their quantities 2 - Recognizes and names a few numerals |
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20 - Uses number concepts and operations c - Connects numerals with their quantities 4 - Identifies numerals to 5 by name and connects each to counted objects |
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20 - Uses number concepts and operations c - Connects numerals with their quantities 6 - Identifies numerals to 10 by name and connects each to counted objects |
Math Number Sense, Properties and Operations 1 - Quantities can be represented and counted b - Match a quantity with a numeral |
Mathematics and Science BB - Counting 2 - Child counts objects, naming one number for each object. |
Mathematics 2 - Numbers and Operations Children show interest and curiosity in counting and grouping objects and numbers. c - Begin to associate a number of objects with names and symbols for numbers. |
Mathematics Knowledge & Skills Number Concepts & Quantities: The understanding that numbers represent quantities and have ordinal properties (number words represent a rank order, particular size, or position in a list). Associates quantities and the names of numbers with written numerals. |
20 - Uses number concepts and operations c - Connects numerals with their quantities 8 - Identifies numerals to 20 by name and connects each to counted objects |
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21 - Explores and describes spatial relationships and shapes a - Understands spatial relationships 2 - Follows simple directions related to position (in, on, under, up, down) |
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21 - Explores and describes spatial relationships and shapes a - Understands spatial relationships 4 - Follows simple directions related to proximity (beside, between, next to) |
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21 - Explores and describes spatial relationships and shapes a - Understands spatial relationships 6 - Uses and responds appropriately to positional words indicating location, direction, and distance |
Health and Physical Education Movement Competence and Understanding in Physical Education 2 - Demonstrate balance b - Demonstrate the relationship of under, over, behind, next to, through, right, left, up, down, forward, backward, and in front of by using the body and an object. Reading and Writing Oral Expression and Listening 1 - Conceptual understanding conveyed through vocabulary words can occur using a variety of modalities b - Begin to identify and use special concepts (first/last, over/under, etc.) Social Studies Geography 1 - Develop spatial understanding, perspectives, and connections to the world. a - Use positional phrasing. Phrases to include but not limited to: over and under, here and there, inside and outside, up and down Math Shape, Dimension and Geometric Relationships 1 - Shapes can be observed in the world and described in relation to one another d - Follow directions to arrange, order, or position objects |
Mathematics and Science CC - Identifying position and direction 1 - Child moves or places an object as requested. Mathematics and Science CC - Identifying position and direction 1 - Child moves or places an object as requested. Mathematics and Science CC - Identifying position and direction 2 - Child uses a position word. Mathematics and Science CC - Identifying position and direction 2 - Child uses a position word. |
Mathematics 3 - Geometry and Spatial Sense Children show an interest in recognizing and creating shapes and an awareness of position in space. a - Describe and name common shapes found in the natural environment. Mathematics 3 - Geometry and Spatial Sense Children show an interest in recognizing and creating shapes and an awareness of position in space. b - Use language to understand the arrangement, order and position of objects that are on top of, next to, on the bottom, underneath, beside and in front of other objects. Mathematics 3 - Geometry and Spatial Sense Children show an interest in recognizing and creating shapes and an awareness of position in space. b - Use language to understand the arrangement, order and position of objects that are on top of, next to, on the bottom, underneath, beside and in front of other objects. Physical Health and Development 1 - Play Children engage in play as a means to understand healthy behavior and develop their physical bodies. d - Initiate activities that challenge their bodies in new ways. |
Physical Development & Health Gross Motor Skills: The control of large muscles for movement, navigation, and balance. Understands movement concepts, such as control of the body, how the body moves (such as an awareness of space and directionality), and that the body can move independently or in coordination with other objects. Language Development Receptive Language: The ability to comprehend or understand language. Comprehends increasingly complex and varied vocabulary. Mathematics Knowledge & Skills Geometry & Spatial Sense: The understanding of shapes, their properties, and how objects are related to one another. Understands directionality, order, and position of objects, such as up, down, in front, behind. Mathematics Knowledge & Skills Geometry & Spatial Sense: The understanding of shapes, their properties, and how objects are related to one another. Understands directionality, order, and position of objects, such as up, down, in front, behind. |
21 - Explores and describes spatial relationships and shapes a - Understands spatial relationships 8 - Uses and makes simple sketches, models, or pictorial maps to locate objects |
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21 - Explores and describes spatial relationships and shapes b - Understands shapes 2 - Matches two identical shapes |
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21 - Explores and describes spatial relationships and shapes b - Understands shapes 4 - Identifies a few basic shapes (circle, square, triangle) |
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21 - Explores and describes spatial relationships and shapes b - Understands shapes 6 - Describes basic two- and three dimensional shapes by using own words; recognizes basic shapes when they are presented in a new orientation |
Math Shape, Dimension and Geometric Relationships 1 - Shapes can be observed in the world and described in relation to one another a - Match, sort, group and name basic shapes found in the natural environment |
Mathematics and Science Y - Sorting objects 2 - Child sorts a collection into smaller groups of similar objects. |
Mathematics 3 - Geometry and Spatial Sense Children show an interest in recognizing and creating shapes and an awareness of position in space. a - Describe and name common shapes found in the natural environment. Mathematics 3 - Geometry and Spatial Sense Children show an interest in recognizing and creating shapes and an awareness of position in space. c - Group objects according to their shape and size. |
Mathematics Knowledge & Skills Geometry & Spatial Sense: The understanding of shapes, their properties, and how objects are related to one another. Recognizes and names common shapes, their parts, and attributes. |
21 - Explores and describes spatial relationships and shapes b - Understands shapes 8 - Shows that shapes remain the same when they are turned, flipped, or slid; breaks apart or combines shapes to create different shapes and sizes |
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- 2 - Makes simple comparisons between two objects |
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- 4 - Compares and orders a small set of objects as appropriate according to size, length, weight, area, or volume; knows usual sequence of basic daily events and a few ordinal numbers |
Reading and Writing Oral Expression and Listening 1 - Conceptual understanding conveyed through vocabulary words can occur using a variety of modalities b - Begin to identify and use special concepts (first/last, over/under, etc.) Social Studies History 1 - Recognize change and sequence over time c - Sequence a simple set of activities or events Math Shape, Dimension and Geometric Relationships 1 - Shapes can be observed in the world and described in relation to one another c - Sort similar groups of objects into simple categories based on attributes Math Shape, Dimension and Geometric Relationships 2 - Measurement is used to compare objects a - Describe the order of common events |
Language and Literacy R - Using vocabulary 4 - Child uses two or more words to describe something. Mathematics and Science CC - Identifying position and direction 2 - Child uses a position word. Mathematics and Science DD - Identifying sequence, change, and causality 2 - Child describes a sequence of events. |
Approaches to Learning 4 - Self-organization Children demonstrate an increased ability to establish goals, develop and follow through with plans. a - Demonstrate an increased ability to understand a task as a series of steps. Mathematics 3 - Geometry and Spatial Sense Children show an interest in recognizing and creating shapes and an awareness of position in space. b - Use language to understand the arrangement, order and position of objects that are on top of, next to, on the bottom, underneath, beside and in front of other objects. Mathematics 4 - Patterns and Measurement Children show an interest in recognizing and creating patterns, comparing and measuring time and quantity. b - Begin to understand that some events take place in the past, present or future. Mathematics 4 - Patterns and Measurement Children show an interest in recognizing and creating patterns, comparing and measuring time and quantity. b - Begin to understand that some events take place in the past, present or future. |
Logic & Reasoning Symbolic Representation: The use of symbols or objects to represent something else. Represents people, places, or things through drawings, movement, and three-dimensional objects. Language Development Expressive Language: The ability to use language. Uses increasingly complex and varied vocabulary. Language Development Expressive Language: The ability to use language. Uses increasingly complex and varied vocabulary. Mathematics Knowledge & Skills Geometry & Spatial Sense: The understanding of shapes, their properties, and how objects are related to one another. Understands directionality, order, and position of objects, such as up, down, in front, behind. Mathematics Knowledge & Skills Patterns: The recognition of patterns, sequencing, and critical thinking skills necessary to predict and classify objects in a pattern. Sorts, classifies, and serializes (puts in a pattern) objects using attributes, such as color, shape, or size. |
- 6 - Uses multiples of the same unit to measure; uses numbers to compare; knows the purpose of standard measuring tools |
Math Shape, Dimension and Geometric Relationships 2 - Measurement is used to compare objects b - Group objects according to their size using standard and non-standard forms (height, weight, length, or color brightness) of measurement |
Mathematics and Science Z - Identifying patterns 3 - Child arranges three or more objects in a graduated series. |
Mathematics 4 - Patterns and Measurement Children show an interest in recognizing and creating patterns, comparing and measuring time and quantity. c - Begin to order, compare or describe objects according to size, length, height and weight using standard or non-standard forms of measurement. |
Mathematics Knowledge & Skills Measurement & Comparison: The understanding of attributes and relative properties of objects as related to size, capacity, and area. Uses nonstandard and standard techniques and tools to measure and compare. |
- 8 - Uses measurement words and some standard measurement tools accurately; uses ordinal numbers from first to tenth |
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23 - Demonstrates knowledge of patterns - 2 - Shows interest in simple patterns in everyday life |
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23 - Demonstrates knowledge of patterns - 4 - Copies simple repeating patterns |
Dance Create, Compose and Choreograph 1 - Translate simple ideas and stories into movement b - Experience different shapes, sizes, levels, and directions to make simple patterns of movements in space and time |
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Mathematics 1 - Play Children engage in play to develop their mathematical thinking and problem solving. c - Experiment with patterns and shapes. |
Creative Arts Expression Creative Movement & Dance: The use of the body to move to music and express oneself. Uses creative movement to express concepts, ideas, or feelings. |
23 - Demonstrates knowledge of patterns - 6 - Extends and creates simple repeating patterns |
Science Life Science 2 - Living things develop in predictable patterns b - Predict, explain, and infer patterns based on observations and representations of living things, their needs, and life cycles Science Earth Systems Science 2 - Events such as night, day, the movement of objects in the sky, weather, and seasons have patterns a - Identify, predict, and extend patterns based on observations and representations of objects in the sky, daily weather, and seasonal changes Science Earth Systems Science 2 - Events such as night, day, the movement of objects in the sky, weather, and seasons have patterns b - Observe and describe patterns observed over the course of a number of days and nights, possibly including differences in the activities or appearance of plants and animals Music Expression of Music 2 - Respond to rhythmic patterns and elements of music c - Match movement to rhythmic patterns |
Movement and Music N - Feeling and expressing steady beat 1 - Child engages in a steady movement. Mathematics and Science FF - Identifying natural and living things 4 - Child identifies a change (in a material or the environment) and a possible cause. |
Mathematics 1 - Play Children engage in play to develop their mathematical thinking and problem solving. b - Use counting and number vocabulary as a part of play. Science 3 - Scientific Skills and Methods Children begin to use scientific tools and methods to learn about their world. a - Explore the natural processes of growing, changing and adapting to the environment. Science 3 - Scientific Skills and Methods Children begin to use scientific tools and methods to learn about their world. b - Make simple observations, predictions, explanations and generalizations based on real life experiences. Science 3 - Scientific Skills and Methods Children begin to use scientific tools and methods to learn about their world. c - Explore time, temperature and cause-effect relationships based on everyday experiences. Creativity 1 - Play Children engage in play as a means of self-expression and creativity. b - Use movement, a variety of media and music while playing to represent stories, moods and experiences. Creativity 2 - Creative Expression Children engage in individual or group activities that represent real-life experiences, ideas, knowledge, feelings and fantasy. b - Use movement and a variety of musical styles to express feelings and to understand and interpret experiences. |
Logic & Reasoning Reasoning & Problem Solving: The ability to recognize, understand, and analyze a problem and draw on knowledge or experience to seek solutions to a problem. Uses past knowledge to build new knowledge. Logic & Reasoning Reasoning & Problem Solving: The ability to recognize, understand, and analyze a problem and draw on knowledge or experience to seek solutions to a problem. Uses past knowledge to build new knowledge. Science Knowledge & Skills Conceptual Knowledge of the Natural & Physical World: The acquisition of concepts and facts related to the natural and physical world and the understanding of naturally-occurring relationships. Observes, describes, and discusses living things and natural processes. Science Knowledge & Skills Conceptual Knowledge of the Natural & Physical World: The acquisition of concepts and facts related to the natural and physical world and the understanding of naturally-occurring relationships. Observes, describes, and discusses living things and natural processes. Creative Arts Expression Creative Movement & Dance: The use of the body to move to music and express oneself. Moves to different patterns of beat and rhythm in music. |
23 - Demonstrates knowledge of patterns - 8 - Recognizes, creates, and explains more complex repeating and simple growing patterns |
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