La. Admin. Code tit. 28 § CXXXVI-501

Current through Register Vol. 50, No. 11, November 20, 2024

Section CXXXVI-501 - Mathematics

A. Knowledge of Numbers. Standard 1: Children demonstrate knowledge of numbers and the relationships between numbers and quantities.

1. Infants, Birth-11 months:

a. Demonstrate interest in quantity during play (e.g., reach for more toys; hold two objects, one in each hand).

b. Indicate they want "more" using gestures, sounds, or looks.

2. Young Toddlers, 9-18 months:

a. Demonstrate interest in simple counting activities.

b. Indicate understanding of the concepts of "more," "all," and "none" using gestures, words, or actions.

3. Older Toddlers, 16-36 months:

a. Rote count to 10 with increasing accuracy.

b. Count a small set of objects (2-3) with one-to-one correspondence.

c. Indicate understanding of the concepts of "one" and "two" using gestures, words, or actions (e.g., child complies when adult says, "Take just one cookie").

d. Recognize a few numerals in the everyday environment.

e. Identify an object or person as first in a sequence.

4. Three Year Olds, 36-48 months:

a. Rote count to 10 with accuracy.

b. Count up to five objects arranged in a line with one-to-one correspondence.

c. Begin to understand that the last number counted represents how many objects are in a group (cardinality).

d. Recognize and name the number of items in a small set (up to three) without counting (subitizing).

e. Compare two groups of objects and indicate whether the number of objects in each group is the same or different.

f. Identify written numerals 0-5 by name and match each to counted objects.

g. Identify the first and often second object or person in a sequence.

5. Four Year Olds, 48-60 months:

a. Rote count to 20 with accuracy. Tell what number (1-10) comes next in order by counting.

b. Accurately count up to ten objects in a structured arrangement with one-to-one correspondence.

c. Tell how many objects are in a group by giving the last number counted (cardinality).

d. Recognize and name the number of items in a small set (up to five) without counting (subitizing).

e. Compare two groups of objects and identify whether the number of objects in one group is more, less, or the same as the number of objects in the other group.

f. Identify written numerals 0-10 by name and match each to counted objects.

g. Read and write some numerals up to 10.

h. Identify an object's or person's position in a sequence using ordinal numbers (e.g., first, second, third).

B. Patterns and Operations. Standard 2: Children demonstrate knowledge of patterns and operations.

1. Infants, Birth-11 months:

a. Demonstrate awareness of repeating sequences in everyday routines.

2. Young Toddlers, 9-18 months:

a. Notice and anticipate simple repeating sequences (e.g., go to table for lunch after washing hands).

3. Older Toddlers, 16-36 months:

a. Recognize and participate in patterns within stories and in songs.

4. Three Year Olds, 36-48 months:

a. Recognize and copy simple repeating patterns in different forms (e.g., red-blue, circle-square).

b. Combine and separate small groups of objects and describe the parts. (e.g., I have four cubes. Three are red, and one is blue.).

5. Four Year Olds, 48-60 months:

a. Identify, duplicate, extend, and create simple repeating patterns in different forms (e.g., red-red-blue, circle-square-triangle).

b. Solve simple addition and subtraction problems by using concrete objects or fingers during play and daily activities (e.g., If we have 3 apples and eat 1, how many apples do we have left?).

C. Measurement. Standard 3: Children measure objects by their various attributes and use differences in attributes to make comparisons.

1. Young Toddlers, 9-18 months:

a. Match two objects based on one observable feature.

b. Explore objects of different sizes and weights.

2. Older Toddlers, 16-36 months:

a. Group objects by one physical characteristic (attribute) (e.g., color, size, shape).

b. Make simple comparisons between two objects using measurable attributes (e.g., length, height, weight).

3. Three Year Olds, 36-48 months:

a. Sort objects into two or more groups based on one physical characteristic (attribute).

b. Describe objects using measurable attributes (e.g., tall/short, big/little, heavy/light).

4. Four Year Olds, 48-60 months:

a. Sort objects by one characteristic (attribute), then re-sort using a different characteristic and explain the reasoning with guidance and support.

b. Describe measurable attributes of objects and materials using comparative words (e.g., long, longer, longest).

c. Compare and order a small set of objects using measurable terms (e.g., length, weight).

d. Describe the purpose of simple measurement tools.

e. Measure using multiples of the same non-standard unit (e.g., paper clips, snap cubes) with guidance and support.

D. Shapes and Spatial Relationships. Standard 4: Children identify shapes and their properties, and describe the positions of objects in space.

1. Infants, Birth-11 months:

a. Explore various shapes through play.

b. Explore and respond to the movement of objects, people, or self (e.g., navigate obstacles while crawling to destination).

2. Young Toddlers, 9-18 months:

a. Explore the way shapes and objects fit together through play.

b. Explore and respond to how things move through space or fit together (e.g., putting smaller objects into a small box and larger objects into a large box).

3. Older Toddlers, 16-36 months:

a. Match basic shapes (e.g., circle, square, triangle) of the same size and orientation.

b. Move their body and objects to follow simple directions related to position (e.g., in, on, under, over, up, down).

4. Three Year Olds, 36-48 months:

a. Match a wider variety of shapes with different sizes and orientations.

b. Recognize basic shapes (e.g., circle, square, triangle).

c. Build objects by combining basic shapes (e.g., pictures, tangrams, block structures).

d. Move their body and objects to follow simple directions related to proximity (e.g., beside, between, next to).

5. Four Year Olds, 48-60 months:

a. Identify basic shapes (e.g., circle, square, triangle, rectangle) regardless of size and orientation.

b. Describe basic two- and three-dimensional shapes (e.g., a square has four sides, the ball rolls).

c. Create and build shapes using a variety of materials (e.g., popsicle sticks to create a square).

d. Identify and respond accurately to positional words indicating location, direction, and distance (e.g., above, below, in front of, near, behind).

La. Admin. Code tit. 28, § CXXXVI-501

Promulgated by the Board of Elementary and Secondary Education, LR 50962 (7/1/2024).

AUTHORITY NOTE: Promulgated in accordance with R.S. 17:6(A)(10), R.S. 17:407.22, R.S. 17:407.23.