Washington Math Standards - 7th Grade

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7.1. Core Content: Rational numbers and linear equations
7.1.A Compare and order rational numbers using the number line, lists, and the symbols <, >, or =. (Compare Mixed Values 2 , Number Line , Compare Integers )
7.1.B Represent addition, subtraction, multiplication, and division of positive and negative integers visually and numerically. (Integer Addition , Integer Subtraction , Positive Integer Subtraction , Integer Multiplication , Integer Division , Integer Equivalence , Integers In Word Problems )
7.1.C Fluently and accurately add, subtract, multiply, and divide rational numbers. (Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division )
7.1.D Define and determine the absolute value of a number. (Absolute Value 1 , Absolute Value 2 )
7.1.E Solve two-step linear equations. (Single Variable Equations 2 )
7.1.F Write an equation that corresponds to a given problem situation, and describe a problem situation that corresponds to a given equation. (Algebraic Sentences 2 , Algebraic Sentences )
7.1.G Solve single- and multi-step word problems involving rational numbers and verify the solutions. (Percentage Change , Purchases At Stores , Restaurant Bills , Commissions , Percent of Quantity )

7.2. Core Content: Proportionality and similarity
7.2.A Mentally add, subtract, multiply, and divide simple fractions, decimals, and percents. (Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division , Percentage Change , Purchases At Stores , Restaurant Bills , Percent of Quantity )
7.2.B Solve single- and multi-step problems involving proportional relationships and verify the solutions. (Unit Cost , Proportions 1 , Proportions 2 , Distance, Rate, and Time , Train Problems )
7.2.C Describe proportional relationships in similar figures and solve problems involving similar figures. (Proportions 2 )
7.2.D Make scale drawings and solve problems related to scale.
7.2.E Represent proportional relationships using graphs, tables, and equations, and make connections among the representations. (Function Tables , Function Tables 2 )
7.2.F Determine the slope of a line corresponding to the graph of a proportional relationship and relate slope to similar triangles. (Determining Slope )
7.2.G Determine the unit rate in a proportional relationship and relate it to the slope of the associated line. (Unit Cost , Distance, Rate, and Time )
7.2.H Determine whether or not a relationship is proportional and explain your reasoning.
7.2.I Solve single- and multi-step problems involving conversions within or between measurement systems and verify the solutions. (Time Intervals , Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion , Area and Volume Conversions )

7.3. Core Content: Surface area and volume
7.3.A Determine the surface area and volume of cylinders using the appropriate formulas and explain why the formulas work. (Cylinders )
7.3.B Determine the volume of pyramids and cones using formulas.
7.3.C Describe the effect that a change in scale factor on one attribute of a two- or three-dimensional figure has on other attributes of the figure, such as the side or edge length, perimeter, area, surface area, or volume of a geometric figure. (Area And Volume Proportions )
7.3.D Solve single- and multi-step word problems involving surface area or volume and verify the solutions.

7.4. Core Content: Probability and data
7.4.A Represent the sample space of probability experiments in multiple ways, including tree diagrams and organized lists.
7.4.B Determine the theoretical probability of a particular event and use theoretical probability to predict experimental outcomes. (Probability )
7.4.C Describe a data set using measures of center (median, mean, and mode) and variability (maximum, minimum, and range) and evaluate the suitability and limitations of using each measure for different situations. (Mean, Median, Mode )
7.4.D Construct and interpret histograms, stem-and-leaf plots, and circle graphs. (Stem And Leaf Plots )
7.4.E Evaluate different displays of the same data for effectiveness and bias, and explain reasoning.

7.5. Additional Key Content
7.5.A Graph ordered pairs of rational numbers and determine the coordinates of a given point in the coordinate plane. (Ordered Pairs )
7.5.B Write the prime factorization of whole numbers greater than 1, using exponents when appropriate. (Prime Factoring , Prime Factoring 2 )

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

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