## 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.

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6.1.2

Use and analyze a variety of strategies, including models, for solving problems with multiplication and division of fractions.

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6.1.3

Use and analyze a variety of strategies, including models, for solving problems with multiplication and division of decimals.

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6.1.4

Develop fluency with efficient procedures for multiplying and dividing fractions and decimals and justify why the procedures work.

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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.

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6.1.6

Apply the properties of operations to simplify calculations.

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6.1.7

Use the relationship between common decimals and fractions to solve problems including problems involving measurement.

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## 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.

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6.2.2

Determine decimal and percent equivalents for common fractions, including approximations.

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6.2.3

Understand the meaning of probability and represent probabilities as ratios, decimals, and percents.

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6.2.4

Determine simple probabilities, both experimental and theoretical.

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6.2.5

Develop the concept of pi as the ratio of the circumference of a circle to its diameter.

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## 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.

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6.3.2

Develop the meanings and uses of variables.

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6.3.3

Write, evaluate, and use expressions and formulas to solve problems.

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6.3.4

Identify and represent equivalent expressions (e.g., different ways to see a pattern).

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6.3.5

Represent, analyze, and determine relationships and patterns using tables, graphs, words, and when possible, symbols.

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6.3.6

Recognize that the solutions of an equation are the values of the variables that make the equation true.

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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.

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