Classroom Idea Sheet

9 Digits in a 3×3 Matrix

Students explore addition problems with two 3 digit numbers and discover patterns that help find solutions and double check arithmetic answers.

Standards alignment

Common Standards — cross-referenced to the Common Core State Standards, the Next Generation Science Standards and the California Content Standards.
StandardFrameworkGradeSubjectDomain
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 MathematicsGrade 3Mathematical Practices
3.NBT.2. Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.Common Core MathematicsGrade 3Number And Operations In Base TenUse Place Value Understanding And Properties Of Operations To Perform Multi-Digit Arithmetic.4
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 MathematicsGrade 4Mathematical Practices
4.NBT.4. Fluently add and subtract multi-digit whole numbers using the standard algorithm.Common Core MathematicsGrade 4Number And Operations In Base Ten2Use Place Value Understanding And Properties Of Operations To Perform Multi-Digit Arithmetic
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 MathematicsGrade 5Mathematical 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 MathematicsGrade 6Mathematical 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 MathematicsGrade 7Mathematical 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 MathematicsGrade 8Mathematical Practices
California Standards — cross-referenced to the Common Core State Standards, the Next Generation Science Standards and the California Content Standards.
StandardFrameworkGradeSubjectDomain
3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for addition and subtraction of multidigit numbers.CA MathematicsGrade 401. Number Sense3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.

About this sheet

Grades covered

Grade 3 – Grade 8

Curriculum topics

Addition, Number Patterns, Casting Out Nines

Sheet number

268