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**SIXTH GRADE MATH ALIGNMENT**

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| Add & Subtract fractions and decimals with and without common denominators | Add & Subtract whole numbers with regrouping strategies through the millions | Identify and name values ranging from hundred thousandths to trillions | Multiply and divide (long division) values through the millions | Memorization of addition, subtraction and multiplication facts | Conversion of measurement units within a measurement system | Area and perimeter (circumference) of squares, rectangles, triangles and circles. | Graph points on a coordinate plane |

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| Number and Operations: Develop an understanding of and fluency with multiplication and division of fractions and decimals | Select and use appropriate strategies to estimate fraction and decimal products and quotients. | Use and analyze a variety of strategies, including models, for solving problems with multiplication and division of fractions. | Use and analyze a variety of strategies, including models, for solving problems with multiplication and division of decimals. | Develop fluency with efficient procedures for multiplying and dividing fractions and decimals and justify why the procedures work. | Apply the inverse relationship between multiplication and division to make sense of procedures for multiplying and dividing fractions and justify why they work. | Apply the properties of operations to simplify calculations. | Use the relationship between common decimals and fractions to solve problems including problems involving measurement. | Number and Operations and Probability: Connect ratio, rate and percent to multiplication and division. | Develop, analyze, and apply the meaning of ratio, rate, and percent to solve problems. | Determine decimal and percent equivalents for common fractions, including approximations. | Understand the meaning of probability and represent probabilities as ratios, decimals, and percents. | Determine simple probabilities, both experimental and theoretical. | Develop the concept of pi as the ratio of the circumference of a circle to its diameter. | Algebra: Write, interpret and use mathematical expressions and equations. | Use order of operations to simplify expressions that may include exponents and grouping symbols. | Develop the meanings and uses of variables. | Write, evaluate, and use expressions and formulas to solve problems. | Identify and represent equivalent expressions (e.g., different ways to see a pattern). | Represent, analyze, and determine relationships and patterns using tables, graphs, words, and when possible, symbols. | Recognize that the solutions of an equation are the values of the variables that make the equation true. | Solve one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. |

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