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### Sixth Grade Math Alignment

 Review Standard Description Introduce Practice Master Review Add & Subtract fractions and decimals with and without common denominators x x Review Add & Subtract whole numbers with regrouping strategies through the millions x x Review Identify and name values ranging from hundred thousandths to trillions x x Review Multiply and divide (long division) values through the millions x x Review Memorization of addition, subtraction and multiplication facts x x Review Conversion of measurement units within a measurement system x x Review Area and perimeter (circumference) of squares, rectangles, triangles and circles. x x Review Graph points on a coordinate plane x x
 Standard Number Standard Description Introduce Practice Master 6.1 Number and Operations: Develop an understanding of and fluency with multiplication and division of fractions and decimals 6.1.1 Select and use appropriate strategies to estimate fraction and decimal products and quotients. x x 6.1.2 Use and analyze a variety of strategies, including models, for solving problems with multiplication and division of fractions. x x 6.1.3 Use and analyze a variety of strategies, including models, for solving problems with multiplication and division of decimals. x x 6.1.4 Develop fluency with efficient procedures for multiplying and dividing fractions and decimals and justify why the procedures work. x x 6.1.5 Apply the inverse relationship between multiplication and division to make sense of procedures for multiplying and dividing fractions and justify why they work. x x 6.1.6 Apply the properties of operations to simplify calculations. x x 6.1.7 Use the relationship between common decimals and fractions to solve problems including problems involving measurement. x x 6.2 Number and Operations and Probability: Connect ratio, rate and percent to multiplication and division. 6.2.1 Develop, analyze, and apply the meaning of ratio, rate, and percent to solve problems. x x 6.2.2 Determine decimal and percent equivalents for common fractions, including approximations. x x 6.2.3 Understand the meaning of probability and represent probabilities as ratios, decimals, and percents. x x 6.2.4 Determine simple probabilities, both experimental and theoretical. x x 6.2.5 Develop the concept of pi as the ratio of the circumference of a circle to its diameter. x x 6.3 Algebra: Write, interpret and use mathematical expressions and equations. 6.3.1 Use order of operations to simplify expressions that may include exponents and grouping symbols. x x 6.3.2 Develop the meanings and uses of variables. x x 6.3.3 Write, evaluate, and use expressions and formulas to solve problems. x x 6.3.4 Identify and represent equivalent expressions (e.g., different ways to see a pattern). x x 6.3.5 Represent, analyze, and determine relationships and patterns using tables, graphs, words, and when possible, symbols. x x 6.3.6 Recognize that the solutions of an equation are the values of the variables that make the equation true. x x 6.3.7 Solve one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. x x