### Component 2: Number Relationships and Operations

#### Standard 2.a: Children learn to use numbers to compare quantities and solve mathematical situations.

By the following age ranges, children typically, for example:

• Hold two objects, one in each hand
• Explore their fingers and toes • Demonstrate early one-to-one correspondence (e.g., filling containers with objects by dropping them in one at a time)
• In most instances, choose a set that has more of something they prefer over a set that has less, when given the option
• Create larger and smaller sets of objects by grouping and ungrouping items (e.g., placing and removing rings on a vertical peg) • Begin to say or gesture the number “two” when asked how old they are
• Put objects in accurate, one-to-one correspondence when supported by the context (e.g., placing one plastic egg into each indentation of an egg carton)
• Compare collections that are quite different in size (e.g., one that is at least twice the other)
• Notice when another child has more of something and gesture or verbalize “want more”
• Put groups of objects together and begin to subtract (e.g., share) • Use visual cues to approximate which of 2 sets of objects has more
• Understand that putting 2 sets of objects together makes “more” and taking sets of objects apart will make less
• Add and subtract with sets of objects smaller than three • Understand that a whole is a larger quantity than its parts (e.g., when looking at 3 nests with 3 eggs in each, says a big number such as 8 or 10 to describe how many eggs there are)
• Use toys and other objects as tools to solve simple addition and subtraction problems when the total is smaller than five
• Use one-to-one correspondence to compare small sets of similar objects • Use counting to compare 2 sets of objects and to determine which set has more, less, or the same than the other
• Understand that adding one or taking away one changes the number in a group of objects by exactly one
• Use toys and other objects as tools to solve simple addition and subtraction problems with totals smaller than 10 Scroll to Top