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 whole numbers between 0 and 999.


Students can compare and order whole numbers between 0 and 9,999.


Students can compare and order whole numbers expressed through millions.


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 positive rational numbers.


Standard 7.1b

Students can compare and order numbers greater than zero written in scientific notation.


Standard 8.1

Students can compare and order real numbers.