Counting & Comparing
Counting
Reciter - from https://www.learningtrajectories.org/math/learning-trajectories/counting Verbally counts with distinct words, not necessarily in the correct order above "five". Puts objects, actions, and words in many-to-one or overly rigid one-to-one correspondence. May start reciting before 24 months.
COMPARING/ORDERING
Orders quantities (dots) or numerals to 6 and beyond. Similarly orders lengths marked into units. A significance advance is the ability to correctly determine whether numerals that are not in count-list order (e.g., some are skipped) are in order (e.g., 5, 7, 9) or not (7, 5).
https://www.learningtrajectories.org/math/learning-trajectories/comparing-number
Students can count forward orally by ones, twos, fives, and tens to determine the total number of objects to 110 .
Students can compare and order fractions, mixed numbers, and/or decimals in a given set, from least to greatest and greatest to least.
Students can compare and order numbers greater than zero written in scientific notation.