Counting and Cardinality Initial Teachers’ Draft Reviews Revised Standard Early Learning Guidelines 11/20/13 Reviewer Comments Know number names and the count sequence. Standard 2c 1. With adult guidance and support, Develops increasing ability to count in the child will develop an increasing sequence to ten. ability to count in sequence to twenty. Kindergarten Exit K.CC.A.1 Count to 100 by ones and by tens. K.CC.A.2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). 1. Recognize and name written numerals 0–20 (e.g. the child can name numerals when pointed to by a teacher on a number line, in sequence. The child can point to and name numerals on a number line, in sequence). 5. Identify numerals 0 – 10 out of sequence (e.g. child can name numerals when pointed to by others on a number line, out of sequence). 3. Understand the relationships between numerals and quantities up to ten (e.g. the child can match written numeral to quantity of objects or objects in pictures). 4. Represent a number 0 – 5, then to 10 by producing a set of objects with concrete materials, pictures, and/or numerals with 0 representing a count of no objects. PreK focus needs to be 0-10 Use 1-9 and add 10-20 as another standard Identify numerals 1-10 and the quantities each number represents. Standard 2F Identifies numerals one through five 2. With adult guidance and support, the child will recognize and name written numerals 1-9 3. With adult guidance and support, the child will develop a beginning understanding that Zero represents the count of no objects. Count to tell the number of objects. Vicki: Too vague? 4. With adult guidance and support, Identify numerals 1-10 and the the child will represent a number 1-9 quantities each number represents. using manipulatives. No other comments K.CC.A.3 Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects). 5. With adult guidance and support, the child will identify the quantities each numeral 1-9 represents. (e.g. the child can match written numeral to quantity of objects in a picture). K.CC.B.4 Understand the relationship between numbers and quantities; connect counting to cardinality. 2. Demonstrates one to one correspondence when counting objects up to 10. 7. Understand that the last number spoken tells the number of the objects counted (e.g. begin to recognize that each successive number name refers to a quantity that is one larger). Vicki: must teach prerequisite skills; maintains one-to-one correspondence before scattered format. (scattered addressed in #8 ) Standard 2B Begins to make use of 1:1 correspondence in counting objects and matching groups of objects. And 2D Counts objects in a set 1:1 from 1-5 6. With adult guidance and support, the child will demonstrate one to one correspondence when placing up to 9 objects in horizontal rows. Begins to understand that the last number spoken tells how many objects are in a set. 7. With adult guidance and support, the child will begin to understand that the last number spoken tells how many objects are in a set. K.CC.B.4a When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. From above…separate standard? (e.g. begin to recognize that each successive number name refers to a quantity that is one larger). K.CC.B.4b Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. K.CC.B.4c Understand that each successive number name refers to a quantity that is one larger. 6. Count 10 items in a scattered configuration (e.g. the child will use one to one correspondence to count objects or pictures of objects in a scattered configuration). None Count 1-9 members in each set in a random order, not a horizontal line. 8. Use comparative language, such as more/less than, equal to, to compare and describe collections of objects up to 5 and then 10. Compare two sets of 1-5 items (Vicki takes it to separate objectives for each: equal (same), less, greater) Equality is difficult, consider using “the same as” Standard 2A: Begins to associate number concepts, vocabulary, quantities and written numerals in meaningful ways. 3: compares and recognizes items that are more, less, or the same in size. 8. With adult guidance and support, the child will count up to 9 items in a random order (e.g. the child will use one to one correspondence to count objects or pictures of objects in a scattered configuration). Compare Numbers 9. With adult guidance and support, the child will compare two sets of 1-5 items using comparative language such as “more than”, “less than” and “the same as”. K.CC.B.5 Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1– 20, count out that many objects. K.CC.C.6 Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. Initial Teachers’ Draft 1. The child will explore addition and subtraction concepts 0-10 using such terms as joining/separating, putting together/taking away, and more/less (e.g. the child canuse manipulatives, drawing, actions, or verbal explanation to demonstrate addition and subtraction through 10, understand and state that when there is one object, adding one more will create two objects). 2. Decompose numbers less than or equal to 5 into pairs in more than one way (e.g. the child will use objects or drawings to make pairs that equal 5). 3.For any number from 0 to 5, find the number that makes 5 when added to the given number (e.g. the child will use objects or drawings to add the new number to the given number to equal 5). 4. Recognize AB pattern and can repeat it. (e.g. the child continues and/or creates an AB pattern). Operations and Algebraic Thinking Reviews Revised Standard Early Learning Guidelines 11/20/13 Reviewer Comments Vicki: Explore simple addition 1. With adult guidance and support, concepts using 1-9 objects. the child will explore simple addition Explore simple subtraction concepts concepts using 1-9 objects. using 1-9 objects Vicki: Too difficult for preschool I agree with Vicki Vicki: Too difficult for preschool I agree with Vicki Vicki: copy predictable pattern using two colors, forming alternating patterns and identifying what comes next 2. With adult guidance and support the child will, copy predictable patterns, form alternate patterns, and identify what comes next. (e.g. the child continues and/or creates an AB pattern). Standard 1A Sorts and groups of objects into a set and explains verbally what the objects have in common. 1B Recognizes patterns, can repeat them, and can explain them verbally. SEE GEOMETRY for a possible #3 on sorting. Kindergarten Exit K.OA.A.1 Represent addition and subtraction with objects, fingers, mental images, drawings1, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. K.OA.A.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1). K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. Initial Teachers’ Draft Measurement and Data Reviews Revised Standard Early Learning Guidelines 11/20/13 Reviewer Comments Describe and compare measurable attributes Standard 4A Linear Measurement: 1. With adult guidance and support, Measures objects using nonstandard the child will begin to use nonstandard units of measurement (e.g. pencil, units to measure length (e.g. pencil, paper clip, and blocks). paper clip, and blocks). Kindergarten Exit Begin to use nonstandard forms to measure length 1. Identify measurable attributes of objects, such as length, and weight. Describe them using correct vocabulary (e.g. small, big, short, tall, empty, full, heavy, and light). 2. Directly compare two objects with a measurable attribute in common, using words (such as longer/ shorter; heavier/ lighter; or taller/ shorter). 4. Compare groups of objects by sorting into graduating or descending order (e.g. least to greatest, greatest to least, largest to smallest, etc.). 3. Sort objects into categories; count the numbers of objects in each category. (limit category counts to be less than or equal to 5). Standard 4B Compares objects according to observable attributes (e.g., long, longer, longest; short, shorter, shortest; small, medium, large) 4C Compares and orders objects in graduated order (shortest to tallest, thinnest to thickest) 2. With adult guidance and support, the child will identify measurable attributes of objects, such as length, and weight. Describe them using correct vocabulary (e.g. small, big, short, tall, empty, full, heavy, and light). 3. With adult guidance and support, the child will directly compare two objects with a common measurable attribute using words such as longer/ shorter; heavier/ lighter; or taller/ shorter. 4. With adult guidance and support, the child will compare groups of objects by sorting into graduating or descending order (e.g. least to greatest, greatest to least, largest to smallest, etc.). Classify objects and count the number of objects in each category. 5. Sort objects into given categories; count the numbers of objects in each category. (limit category counts to be less than or equal to 5). K.MD.A.1 Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object. K.MD.A.2 Directly compare two objects with a measurable attribute in common, to see which object has “more of”/“less of” the attribute, and describe the difference. For example, directly compare the heights of two children and describe one child as taller/shorter. K.MD.B.3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count. Initial Teachers’ Draft 1. Identify relative position of objects in space, and use appropriate language (e.g. beside, inside, next to, close to, above, below, apart). Describes relative position from different perspectives (e.g. "I am on top of the climber and you are below me"). 2. Uses directions to move through space and find places in space (e.g. obstacle courses, Simon Says, Mother May I?, hopscotch, giving simple directions). Geometry Reviews Revised Standard Early Learning Guidelines 11/20/13 Reviewer Comments Identify and Describe Shapes Standard 3A 1. With adult guidance and support, Builds an increasing understanding of the child will listen and follow oral directionality, order and position of directions that include using position objects and words (e.g., on, under, words to describe where to place above) objects in space. End of the year Kindergarten Skill Similar to learning about prepositions in Language standards Kindergarten Exit K.G.A.1 Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. 2. With adult guidance and support, the child will listen and follow oral directions to move through space. Listen and follow oral directions that include using position words to describe where to place objects in space. Listen and follow oral directions to move through space 3. Identify shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones,cylinders, parallelogram and spheres). Standard 3B Begins to recognize, describe, compare and name common shapes (e.g. circle, square, triangle and rectangle) OAS Standard?…identify 10 shapes but one is listed incorrectly (circle should be round, having no corners) Your standard suggests “spheres” …really challenging. Your standard suggests using parallelogram? Octagon is more common…shape of stop sign 3. With adult guidance and support, the child will point to shapes with no corners, point to shapes with corners, and point to shapes with angles. 4. With adult guidance and support, the child will identify up to 10 shapes by name (square, circle, triangle, rectangle, octagon *stop sign*, start, heart, diamond). ???-I thought this one needed its own separate from above. K.G.A.2 Correctly name shapes regardless of their orientations or overall size. “point to shapes with no corners” “point to shapes with corners” “point to shapes with angles” Identify and name 10 shapes by comparing attributes of each. 6. Analyze, compare, and sort twoand three-dimensional shapes and objects, in different sizes, using informal language to describe their similarities, differences, and other attributes (e.g. the child will group shapes by various attributes - color, size, shape, etc. - and the child will explain how groups were sorted, by color, size, and shape, etc.) 4. Describe the attributes of shapes (e.g. the child will tell you a square has four equal sides, triangle has three sides, circle is round) such as squares, circles, triangles, rectangles, hexagons, etc. (minimum of 5 shapes). 5. Sort shapes of different sizes and orientations as two-dimensional (lying in a plane, flat) or three-dimensional (solid) (e.g. the child will sort shapes into two distinct groups based on their dimensions). 7. Create and represent two- and three-dimensional shapes (circle, ball/sphere, square box/cube, tube/cylinder, etc.) using various 6. begin to identify and compare shapes that are flat and shapes are solid. Sort shapes into two groups or sets using 1-3 attributes (color, shape, size) and realizes attributes do not change even when shape is flipped. 5. With adult guidance and support, the child will begin to identify and compare shapes that are flat and shapes that are solid. Sorting is in the Algebraic Reasoning section of the early learning guidelines, should we put this in the OA section as #3? Analyze, Compare, Create, And Compose Shapes Using real objects for support, name 6. With adult guidance and support, features or attributes when describing the child will explore various threeshape of object (i.e. square has 4 dimensional (“solid”) objects (e.g., corners, and all for sides are the same ball/sphere, box/rectangular prism, size or equal) square block/cube, tube/cylinder, etc.) We already have this covered in #3 ( Vicki comments that we have revised standard) introduces 3D yet…I think this would be a good place after above objective of identifying flat vs. solid. 5. Begin to describe attributes or special features and compare 2 shapes telling how they are different by share or size. 7. Uses tube, cylinder, cube and expects child to recreate shapes with pipe cleaners…too challenging K.G.A.3 Identify shapes as twodimensional (lying in a plane, “flat”) or three-dimensional (“solid”). 7. With adult guidance and support, the child will begin to describe attributes or special features and compare 2 shapes telling how they are different by shape or size. I agree with Vicki that recreating 3 dimensional shapes is too challenging, I would stick to creating 2D shapes. K.G.B.4 Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length). K.G.B.5 Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. manipulative materials (such as popsicle sticks, blocks, pipe cleaners, clay, pattern blocks, etc.). 8. The child will use shapes to form larger or different shapes (e.g. using blocks or other manipulatives the child can perform tasks such as using triangles to create a larger triangle, using triangles to create a hexagon, and combining shapes to cover a trapezoid). 8. With adult guidance and support, the child will model two dimensional shapes using various manipulative materials (such as popsicle sticks, pipe cleaners, clay, straws, etc.). Begin to create larger shapes by combining smaller shapes. 9. With adult guidance and support, the child will begin to create larger shapes by combining smaller shapes. K.G.B.6 Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”