Build number sense
Start with addition, subtraction, teen numbers, and place value so students see how quantities can be composed and decomposed.
The full 1st Grade Common Core knowledge-point list. Free printable practice, downloadable PDF checklist, and Socratic missions β covering every CCSS standard for this grade.
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Handbook Learning Route
Grade 1 math should move children from counting one object at a time to seeing numbers as parts, tens, and relationships. The goal is not faster tapping; it is number sense that can explain addition, subtraction, place value, measurement, and shapes.
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Start with addition, subtraction, teen numbers, and place value so students see how quantities can be composed and decomposed.
Use inverse operations and adding tens to show that facts are related patterns, not isolated answers.
Measurement, shape attributes, and early fractions help students describe the real world with precise math language.
Understanding addition as putting together and adding to, within 20, with a focus on the "make 10" strategy.
Comparing two-digit numbers using the symbols >, <, and =.
Partition circles and rectangles into two and four equal shares β halves and quarters as the first fraction concept.
Compare the lengths of two objects indirectly by using a third object β the transitivity of length.
Understand subtraction as an unknown-addend problem β addition and subtraction are two views of the same fact.
Ordering and comparing objects by length, using the "same starting line" rule.
Understanding that two-digit numbers are built from tens and ones β the power of grouping by 10.
Distinguish defining attributes (sides, vertices, closed) from non-defining attributes (color, size, orientation).
Recognizing 2D shapes by defining attributes, and composing larger shapes from smaller ones.
Understanding subtraction as taking from, taking apart, and comparing β within 20.
Compose and decompose teen numbers (11β19) as 1 ten and a number of ones.
Add multiples of 10 within 100 β when you add tens, the ones digit never changes.
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