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### CD3. Mathematics

- CD3.1. Comparing numbers, counting, and recognizing quantities
- CD3.1q Counts forward to 20 by memory

- CD3.1aa Arranges images with 3 or more different quantities of objects in correct order

- CD3.1w Instantly recognizes a collection of up to 10 objects (i.e. subitizes)

- CD3.1v Counts out 10-20 objects in a line from a larger group

- CD3.1u Answers the question “How many?” for up to 10 objects

- CD3.1t Counts up to 10 objects in a line

- CD3.1s Shows accuracy in demonstrating one-to-one correspondence for up to 10 objects

- CD3.1r Counts backwards from 5

- CD3.2. Understanding number relationships and solving problems using operations
- CD3.2c Solves addition (joining) problems using manipulatives (e.g., fingers, objects, tally marks)

- CD3.2f With adult help, uses “counting back from” as a strategy to solve subtraction (separating) problems (e.g., To take away 3 from 5, “5,4,3…leaves 2”)

- CD3.2e With adult help, uses “counting on” as a strategy to solve addition (joining) problems (e.g., “I have 3 and 2 more gives me 4, 5”)

- CD3.2d Solves subtraction (separating) problems using manipulatives (e.g., fingers, objects, tally marks)

- CD3.3. Geometric thinking and spatial reasoning
- CD3.3s Uses smaller shapes to compose larger and different shapes (e.g., two triangles make one square)

- CD3.3v Draws and describes pictures that show relative locations and uses terms like “near to” or “closer to”

- CD3.3u Describes attributes of two and three dimensional shapes (e.g., “A square has four corners/angles”, “a triangle has three straight sides”)

- CD3.3t Correctly names squares, rectangles and triangles regardless of size or orientation

- CD3.4. Sorting, classifying, and patterning
- CD3.4l Identifies, duplicates, extends, and creates simple repeating patterns

- CD3.4o Describes quantitative changes (e.g., “I am two years older than when I started school.”)

- CD3.4m Fills in missing elements of simple, repeating patterns
- CD3.4n Recognizes, names, and extends simple repeating patterns

- CD3.5. Describing, comparing, and measuring
- CD3.5g Directly compares the length or volume of two objects

- CD3.5m With adult support, explores tools of measurement such as rulers, scales, and measuring cup, using the appropriate tool for the attribute/characteristic being measured
- CD3.5n With instruction, shows an awareness of time by talking about events with words such as before, after, and later

- CD3.5k With adult support, recognizes that different attributes such as weight, height, and volume require different tools to measure
- CD3.5l With adult support, demonstrates “size seriation” by comparing and ordering objects according to measured attribute/characteristic (e.g., places books on shelf according to measured size)

- CD3.5j With adult support, compares or orders up to 5 objects based on their measurable attributes, such as height or weight

- CD3.5i With adult support, measures using the same non-standard unit, such as putting together snap cubes to see how tall a book is

- CD3.5h Uses comparative language to describe and compare objects using attributes (e.g., longer, shorter, lighter, heavier, etc.)