Virginia SOL 2.CE.1.f
The Standard
Use patterns, models, and strategies to make generalizations about the algebraic properties for fluency (e.g., 4 + 3 is equal to 3 + 4; 0 + 8 = 8).
Virginia Standards of Learning for Mathematics · The student will recall with automaticity addition and subtraction facts within 20 and estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtraction with whole numbers where addends or minuends do not exceed 100.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use counters, number bonds, and equations to notice rules that make addition facts easier. They explain that changing the order of addends keeps the sum, and adding zero keeps a number unchanged.
What Mastery Looks Like
- Given 6 + 9, a student can rewrite it as 9 + 6 and use a known fact without recounting. The student can complete equations such as 12 + 0 = 12 and explain the rule with a model or words.
Common Misconceptions
- Students may think reversing addends changes the sum, or that adding zero makes the answer zero. Some may incorrectly switch numbers in subtraction and claim 13 − 5 equals 5 − 13.
How to Assess It
- Exit ticket: Solve 7 + 8, write the related equation with reversed addends, then complete 14 + 0 and explain one pattern.
Lesson moves
Ways to Teach It
Build 5 + 8 with two colors of counters, switch the groups, and compare the totals.
Ask students to explain why 7 + 0 stays 7 and draw a picture that proves their claim.
Play a matching game with cards showing reversed addition facts, such as 4 + 9 and 9 + 4.
Arrange 6 red apples and 4 green apples, then reverse the order and discuss why the total stays the same.
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Printable 2.CE.1.f Worksheet
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