Counting and Cardinality
Know numbers
Compare numbers
Count and tell objects
Toddlers 16-36 Months / Ages 3 to 4 years / Ages 4 to 5 years / Ages 5 & Kindergarten· Count to at least 10 from memory.
· Begin counting small groups of items (up to five).
· Recognize and name a few numerals.
· Understand the concepts of “one” and “two,” such as by following directions to take one cracker. / · Identify by sight how many are in a small group of items, up to three.
· Understand that the whole is larger than one of its parts (for example, an apple is larger than an apple slice).
· Count to 10 and beyond by rote. Count up to five items. Point to objects while counting. / · Count to 20 and beyond. Count 10 or more objects accurately.
· Give the next number in the sequence 1 through 10.
· Count out 10 items; may use fingers, body parts, or other counters, as used in the child’s home culture. Count and group things by number.
· Compare groups of up to 10 objects.
· Identify by sight how many are in a small group of objects, up to four. / · Count up to 20 objects to understand how many objects there are.
· Remember and write numbers to 20.
· Count to 100.
· Recognize by sight and name the number of items in a group, up to five.
August, 2012
Black = Washington State Early Learning and Development Guidelines (Learning about My World-Mathematics)
Blue = Learning target that is listed under more than one Common Core State Standard component
Purple= Common Core State Standard Domains
Document created by Cheney SD early learning workgroup. P 3 Summer Institute, June 2012. Supported by Bill and Melinda Gates Grant.
Operations and Algebraic Thinking
Understanding addition as putting together and adding to; and subtraction as taking apart and taking from.
Toddlers 16-36 Months / Ages 3 to 4 years / Ages 4 to 5 years / Ages 5 & KindergartenUnderstanding concept of 1, 2, etc. / Understanding a whole is larger than parts (apple/slices)
· Find the total sum of small groups of items.
Identify 4 objects/pictures that are the same – take objects that are different out of group. / · Find the sum when joining two sets of up to five objects.
· Create own patterns with a variety of materials. Describe what the pattern is. / · Add and subtract numbers up to 10 using objects or drawings.
Compare 2 groups of objects to decide which more/less is.
August, 2012
Black = Washington State Early Learning and Development Guidelines (Learning about My World-Mathematics)
Blue = Learning target that is listed under more than one Common Core State Standard component
Purple= Common Core State Standard Domains
Document created by Cheney SD early learning workgroup. P 3 Summer Institute, June 2012. Supported by Bill and Melinda Gates Grant.
Measurement and Data
Describe/compare measurable attributes.
Classify objects and count the number of objects in categories.
Toddlers 16-36 Months / Ages 3 to 4 years / Ages 4 to 5 years / Ages 5 & Kindergarten· Explore measuring tools, such as measuring cups, or a ruler.
· Identify quantity and comparisons, such as all, some, none. Use comparison words correctly, such as bigger and smaller, more and less. / Understanding the whole is larger than its parts (apple/slices).
· Compare two objects by length, weight or size.
· Use gestures or words to make comparisons (larger, smaller, shorter, taller).
· Compare size by sight, feel and comparing to hands, feet, etc. (visual and tactile math).
· Identify up to four objects or pictures that are the same. Take objects or pictures that are different out of the group.
Sort/describe items by size/color/shape. / · Use measuring tools in play (such as ruler, measuring cups, or parts of the body).
· Compare two objects using comparison words such as smaller, faster and heavier.
· Describe objects using size words (big, small, tall, short).
· Compare size (such as, “I’m as tall as the yellow bookshelf.”)
· Order three objects by one characteristic (such as from smallest to largest).
· Match and sort similar shapes (circles, squares, triangles).
Compare groups of up to 10 objects. / · Compare two groups of objects to decide which is more or less, or if they are equal.
Sort & classify objects by more than one factor (size, color)
August, 2012
Black = Washington State Early Learning and Development Guidelines (Learning about My World-Mathematics)
Blue = Learning target that is listed under more than one Common Core State Standard component
Purple= Common Core State Standard Domains
Document created by Cheney SD early learning workgroup. P 3 Summer Institute, June 2012. Supported by Bill and Melinda Gates Grant.
Geometry
Identify and describe objects
Analyze, compare, create and compose shapes
Toddlers 16-36 Months / Ages 3 to 4 years / Ages 4 to 5 years / Ages 5 & Kindergarten· Identify two geometric shapes, such as a circle and a square.
· Match simple flat shapes (circles, squares, triangles).
· Follow simple directions for position, such as up, down, in or on. / · Understand words that tell where things are (such as behind, under, in, on). Use these words to identify locations.
· Sort and describe items by size, color and/or shape.
· Match simple flat shapes (circles, squares, triangles). / · Work puzzles with up to 10 pieces.
· Follow simple directions for positions (beside, next to, between, etc.)
Match & sort similar shapes (circles, squares, triangles).
Create own patterns with a variety of materials – describe pattern. / · Sort and classify objects by more than one factor (such as shape and color, or size and shape, etc.).
· Correctly use position words (such as beside, inside, under, etc.)
· Name shapes and recognize shapes in the environment.
August, 2012
Black = Washington State Early Learning and Development Guidelines (Learning about My World-Mathematics)
Blue = Learning target that is listed under more than one Common Core State Standard component
Purple= Common Core State Standard Domains
Document created by Cheney SD early learning workgroup. P 3 Summer Institute, June 2012. Supported by Bill and Melinda Gates Grant.