Georgia · Common Core · New Jersey · North Carolina
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Georgia's K-8 Mathematics Standards (2021) organize early addition and subtraction under Numerical Reasoning (NR) and pattern work under Patterning & Algebraic Reasoning (PAR). Lucky Sums directly addresses the following objectives.
🟢 Kindergarten
K.NR.5.3
Use a variety of strategies to solve addition and subtraction problems within 10, including counting on, counting backward, and making 10. Result Unknown
K.NR.5.2
Represent addition and subtraction with objects, fingers, drawings, and equations. Students should see equations; writing them is encouraged but not required at this grade.
K.PAR.6.1
Create, extend, and describe repeating patterns with numbers and shapes with a repetition not exceeding 4, and explain the rationale for the pattern.
🟡 First Grade
1.NR.2.1
Use a variety of strategies to solve addition and subtraction problems within 20 in real-life contexts, with unknowns in all positions. All Modes
1.NR.2.2
Use pictures, drawings, and equations to develop strategies through number strings — sets of related problems within 20. Change UnknownStart Unknown
1.NR.2.5
Use the meaning of the equal sign to determine whether equations involving addition and subtraction are true or false (gateway to algebraic thinking).
1.NR.2.6
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers (e.g., 8 + ? = 10, 5 = □ − 3). Change UnknownStart Unknown
1.PAR.3.1
Investigate, create, and make predictions about repeating patterns including number strings and operation-based patterns (e.g., 2, 4, 6, 8… add 2 each time).
1.PAR.3.2
Identify, describe, and create growing, shrinking, and repeating patterns based on repeated addition or subtraction of 1s, 2s, 5s, and 10s.
Common Core State Standards for Mathematics (CCSS-M) address early addition and subtraction under Operations & Algebraic Thinking (OA). These standards are adopted or closely adapted by the majority of U.S. states and align directly with Lucky Sums' three unknown-position modes.
🟢 Kindergarten
K.OA.A.1
Represent addition and subtraction with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations.
K.OA.A.2
Solve addition and subtraction word problems, and add and subtract within 10 using objects or drawings to represent the problem. Result Unknown
K.OA.A.5
Fluently add and subtract within 5.
🟡 First Grade
1.OA.A.1
Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions. All Modes
1.OA.B.3
Apply properties of operations as strategies to add and subtract (e.g., commutative property: if 8+3=11 is known, then 3+8=11 is also known).
1.OA.B.4
Understand subtraction as an unknown-addend problem (e.g., subtract 10–8 by finding the number that makes 10 when added to 8). Change Unknown
1.OA.C.6
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as making ten, decomposing a number leading to a ten, and using the relationship between addition and subtraction.
1.OA.D.7
Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false (e.g., 6=6 ✓, 7=8−1 ✓, 5+2=2+5 ✓, 4+1=5+2 ✗).
1.OA.D.8
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers (e.g., 8+?=11, 5=□−3, 6+6=□). Change UnknownStart Unknown
New Jersey Student Learning Standards for Mathematics (NJSLS-M, 2023 revision) are built on the Common Core framework with additional New Jersey-specific clarifications emphasizing contextual, real-world problem solving and identity-affirming contexts. Standards below map directly to Lucky Sums activities.
🟢 Kindergarten
K.OA.A.1
Represent addition and subtraction with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations.
K.OA.A.2
Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Result Unknown
K.OA.A.5
Fluently add and subtract within 5. NJ clarification: include culturally relevant and identity-affirming contexts.
🟡 First Grade
1.OA.A.1
Use addition and subtraction within 20 to solve word problems with unknowns in all positions, using objects, drawings, and equations with a symbol for the unknown. All Modes
1.OA.A.2
Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, using objects, drawings, and equations.
1.OA.B.4
Understand subtraction as an unknown-addend problem. NJ note: connect concretely before moving to abstract equations. Change Unknown
1.OA.D.7
Understand the meaning of the equal sign and determine if equations are true or false. NJ emphasis: build relational understanding of equality before procedures.
1.OA.D.8
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. Change UnknownStart Unknown
North Carolina Standard Course of Study for Mathematics (NC SCOS, 2017) aligns closely with CCSS-M but includes unique NC clarifying notes that emphasize concrete and representational strategies before abstract notation. The NC standards below are directly supported by Lucky Sums.
🟢 Kindergarten
K.OA.1
Represent addition and subtraction within 10 with objects, fingers, mental images, drawings, acting out situations, verbal explanations, expressions, or equations.
K.OA.2
Solve addition and subtraction word problems within 10 using objects or drawings. NC clarification: use join/separate/part-part-whole problem types. Result Unknown
K.OA.5
Demonstrate fluency for addition and subtraction within 5. NC note: fluency built through meaningful practice, not timed drills.
🟡 First Grade
1.OA.1
Use addition and subtraction within 20 to solve word problems with unknowns in all positions. NC clarification: students use a □ or ? to represent unknown quantities. All Modes
1.OA.4
Understand subtraction as an unknown-addend problem within 20 (e.g., subtract 10−8 by finding the number that makes 10 when added to 8). Change Unknown
1.OA.6
Add and subtract within 20 using strategies: making ten, decomposing numbers, using the relationship between addition and subtraction, and creating equivalent sums.
1.OA.7
Understand the meaning of the equal sign and determine if equations are true or false. NC emphasis: equal sign means "the same as," not "the answer is."
1.OA.8
Determine the unknown whole number in addition or subtraction equations with three whole numbers. NC clarification: unknowns may be in any position. Change UnknownStart Unknown
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