Washington Math Standards - 6th Grade

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6.1. Core Content: Multiplication and division of fractions and decimals
6.1.A Compare and order non-negative fractions, decimals, and integers using the number line, lists, and the symbols <, >, or =. (Order Decimals , Compare Mixed Values , Positive Number Line , Fraction Comparison , Compare Decimals )
6.1.B Represent multiplication and division of non-negative fractions and decimals using area models and the number line, and connect each representation to the related equation.
6.1.C Estimate products and quotients of fractions and decimals.
6.1.D Fluently and accurately multiply and divide non-negative fractions and explain the inverse relationship between multiplication and division with fractions. (Fraction Multiplication , Fraction Division )
6.1.E Multiply and divide whole numbers and decimals by 1000, 100, 10, 1, 0.1, 0.01, and 0.001. (Multiply By Multiples Of 10 )
6.1.F Fluently and accurately multiply and divide non-negative decimals. (Money Multiplication , Money Division , Decimal Multiplication , Decimal Division )
6.1.G Describe the effect of multiplying or dividing a number by one, by zero, by a number between zero and one, and by a number greater than one.
6.1.H Solve single- and multi-step word problems involving operations with fractions and decimals and verify the solutions. (Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 )

6.2. Core Content: Mathematical expressions and equations
6.2.A Write a mathematical expression or equation with variables to represent information in a table or given situation. (Algebraic Sentences , Function Tables , Function Tables 2 )
6.2.B Draw a first-quadrant graph in the coordinate plane to represent information in a table or given situation.
6.2.C Evaluate mathematical expressions when the value for each variable is given. (Variable Substitution )
6.2.D Apply the commutative, associative, and distributive properties, and use the order of operations to evaluate mathematical expressions. (Using Parentheses , Order Of Operations , Associative Property 2 , Commutative Property 2 , Distributive Property , Basic Distributive Property )
6.2.E Solve one-step equations and verify solutions. (Single Variable Equations , Proportions 1 )
6.2.F Solve word problems using mathematical expressions and equations and verify solutions. (Algebraic Word Problems )

6.3. Core Content: Ratios, rates, and percents
6.3.A Identify and write ratios as comparisons of part-to-part and part-to-whole relationships. (Ratios )
6.3.B Write ratios to represent a variety of rates. (Unit Cost , Distance, Rate, and Time )
6.3.C Represent percents visually and numerically, and convert between the fractional, decimal, and percent representations of a number. (Percentages , Percentage Pictures )
6.3.D Solve single- and multi-step word problems involving ratios, rates, and percents, and verify the solutions. (Unit Cost , Percentage Change , Purchases At Stores , Restaurant Bills , Commissions , Percent of Quantity , Distance, Rate, and Time )
6.3.E Identify the ratio of the circumference to the diameter of a circle as the constant π, and recognize 22/7 and 3.14 as common approximations of π. (Circle Area , Circle Circumference )
6.3.F Determine the experimental probability of a simple event using data collected in an experiment.
6.3.G Determine the theoretical probability of an event and its complement and represent the probability as a fraction or decimal from 0 to 1 or as a percent from 0 to 100. (Probability )

6.4. Core Content: Two- and three-dimensional figures
6.4.A Determine the circumference and area of circles. (Circle Area , Circle Circumference )
6.4.B Determine the perimeter and area of a composite figure that can be divided into triangles, rectangles, and parts of circles. (Perimeter and Area of Composite Figures )
6.4.C Solve single- and multi-step word problems involving the relationships among radius, diameter, circumference, and area of circles, and verify the solutions.
6.4.D Recognize and draw two-dimensional representations of three-dimensional figures.
6.4.E Determine the surface area and volume of rectangular prisms using appropriate formulas and explain why the formulas work. (Rectangular Solids )
6.4.F Determine the surface area of a pyramid.
6.4.G Describe and sort polyhedra by their attributes: parallel faces, types of faces, number of faces, edges, and vertices. (Polygon Names )

6.5. Additional Key Content
6.5.A Use strategies for mental computations with non-negative whole numbers, fractions, and decimals. (Long Addition , Long Subtraction , Long Multiplication , Long Division , Long Division with Remainders , Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division )
6.5.B Locate positive and negative integers on the number line and use integers to represent quantities in various contexts. (Compare Integers )
6.5.C Compare and order positive and negative integers using the number line, lists, and the symbols <, >, or =. (Compare Integers )

6.6. Core Processes: Reasoning, problem solving, and communication (Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 , Rectangular Solids 2 , Irregular Shape Areas , Batting Averages )
6.6.A Analyze a problem situation to determine the question(s) to be answered.
6.6.B Identify relevant, missing, and extraneous information related to the solution to a problem.
6.6.C Analyze and compare mathematical strategies for solving problems, and select and use one or more strategies to solve a problem.
6.6.D Represent a problem situation, describe the process used to solve the problem, and verify the reasonableness of the solution.
6.6.E Communicate the answer(s) to the question(s) in a problem using appropriate representations, including symbols and informal and formal mathematical language.
6.6.F Apply a previously used problem-solving strategy in a new context.
6.6.G Extract and organize mathematical information from symbols, diagrams, and graphs to make inferences, draw conclusions, and justify reasoning.
6.6.H Make and test conjectures based on data (or information) collected from explorations and experiments.

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