| Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. | Common Core Mathematics | Kindergarten | Mathematical Practices | |
| K.CC.7. Compare two numbers between 1 and 10 presented as written numerals. | Common Core Mathematics | Kindergarten | Counting And Cardinality | Compare Numbers |
| K.MD.3. Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.3 | Common Core Mathematics | Kindergarten | Measurement And Data | Classify Objects And Count The Number Of Objects In Each Category |
| K.OA.1. Represent addition and subtraction with objects, fingers, mental images, drawings2, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. | Common Core Mathematics | Kindergarten | Operations And Algebraic Thinking | Understand Addition As Putting Together And Adding To, And Under- Stand Subtraction As Taking Apart And Taking From |
| K.OA.5. Fluently add and subtract within 5. | Common Core Mathematics | Kindergarten | Operations And Algebraic Thinking | Understand Addition As Putting Together And Adding To, And Under- Stand Subtraction As Taking Apart And Taking From |
| Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. | Common Core Mathematics | Grade 1 | Mathematical Practices | |
| 1.OA.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, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.2 | Common Core Mathematics | Grade 1 | Operations And Algebraic Thinking | Represent And Solve Problems Involving Addition And Subtraction |
| 1.OA.2. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. | Common Core Mathematics | Grade 1 | Operations And Algebraic Thinking | Represent And Solve Problems Involving Addition And Subtraction |
| 1.OA.4. Understand subtraction as an unknown-addend problem. For example, subtract 10 ? 8 by finding the number that makes 10 when added to 8. | Common Core Mathematics | Grade 1 | Operations And Algebraic Thinking | Understand And Apply Properties Of Operations And The Relationship Between Addition And Subtraction |
| 1.OA.5. Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). | Common Core Mathematics | Grade 1 | Operations And Algebraic Thinking | Add And Subtract Within 20 |
| 1.OA.6. Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 ? 4 = 13 ? 3 ? 1 = 10 ? 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 ? 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). | Common Core Mathematics | Grade 1 | Operations And Algebraic Thinking | Add And Subtract Within 20 |
| Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. | Common Core Mathematics | Grade 2 | Mathematical Practices | |
| Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. | Common Core Mathematics | Grade 3 | Mathematical Practices | |
