Preschool Academic Standards | Teaching Strategies GOLD | HighScope COR | Colorado Building Blocks | Head Start Child Development & Early Learning Framework |
Number Sense, Properties and Operations 1 - Quantities can be represented and counted a - Count and represent objects including coins to 10 (PFL) |
Mathematics 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 Mathematics 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 |
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. |
Number Sense, Properties and Operations 1 - Quantities can be represented and counted b - Match a quantity with a numeral |
Mathematics 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 |
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. |
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 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 |
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. |
Shape, Dimension and Geometric Relationships 1 - Shapes can be observed in the world and described in relation to one another b - Sort similar groups of objects into simple categories based on attributes |
Cognitive 13 - Uses classification skills - 6 - Groups objects by one characteristic; then regroups them using a different characteristic and indicates the reason |
Mathematics and Science Y - Sorting objects 3 - In sorting, child groups objects that are the same in some way but different in others. |
No Match |
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. |
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 |
Mathematics 22 - Compares and measures - 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 |
Language and Literacy R - Using vocabulary 4 - Child uses two or more words to describe something. |
No Match |
Language Development Expressive Language: The ability to use language. Uses increasingly complex and varied vocabulary. |
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 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 |
Mathematics and Science CC - Identifying position and direction 1 - Child moves or places an object as requested. |
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 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. |
Shape, Dimension and Geometric Relationships 2 - Measurement is used to compare objects a - Describe the order of common events |
Mathematics 22 - Compares and measures - 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 |
No Match |
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 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. |
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 22 - Compares and measures - 6 - Uses multiples of the same unit to measure; uses numbers to compare; knows the purpose of standard measuring tools |
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. |
Shape, Dimension and Geometric Relationships 2 - Measurement is used to compare objects c - Sort coins by physical attributes such as color or size (PFL) |
Cognitive 13 - Uses classification skills - 6 - Groups objects by one characteristic; then regroups them using a different characteristic and indicates the reason |
Mathematics and Science Y - Sorting objects 2 - Child sorts a collection into smaller groups of similar objects. |
Mathematics 1 - Play Children engage in play to develop their mathematical thinking and problem solving. a - Begin to make groups and match objects. |
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. |