Mathematics, Grade 3: Operations & Algebraic Thinking
3.OA 7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 5 = 40, one knows 40 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Mathematics, Grade 3: Number & Operations in Base Ten
3.NBT 3. Multiply one-digit whole numbers by multiples of 10 in the range 10—90 (e.g., 9 80, 5 60) using strategies based on place value and properties of operations.
Mathematics, Grade 5: Operations & Algebraic Thinking
5.OA 1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Mathematics, Grade 6: Ratios and Proportional Relationships
6.RP.3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
Mathematics, Grade 6: Expressions & Equations
6.EE.1. Write and evaluate numerical expressions involving whole-number exponents.
Mathematics, Grade 7: Ratios and Proportional Relationships
7.RP.2. Recognize and represent proportional relationships between quantities.
Mathematics, Grade 7: The Number System
7.NS.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Mathematics, Grade 7: Expressions & Equations
7.EE.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Source: Common Core State Standards - Math Content
Math: Number Sense and Operations
Grades 3-8: Instructional programs from Pre-Kindergarten through grade 12 should enable all students to understand meanings of operations and how they relate to one another.
- In grades 3-5, all students should identify and use relationships between operations, such as division as the inverse of multiplication, to solve problems.
- In grades 6-8, all students should understand the meaning and effects of arithmetic operations with fractions, decimals and integers.
Math: Algebra
Grades 3-8: Instructional programs from Pre-Kindergarten through grade 12 should Understand patterns, relations, and functions.
- In grades 3-5, all students should represent and analyze patterns and functions, using words, tables, and graphs.
- In grades 6-8, all students should relate and compare different forms of representation for a relationship.
Standards are listed with permission from Principles and Standards for School Mathematics, copyright 2000 by the National Council of Teachers of Mathematics (NCTM). NCTM does not endorse the content or validity of these alignments.
Source:Principles and Standards for School Mathematics
