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# Washington Standards Seventh Grade Mathematics resources

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Core Content: Rational numbers and linear equations (Numbers, Operations, Algebra) Students add, subtract, multiply, and divide rational numbers - fractions, decimals, and integers - including both positive and negative numbers. With the inclusion of negative numbers, students can move more deeply into algebraic content that involves the full set of rational numbers. They also approach problems that deal with a wider range of contexts than before. Using generalized algebraic skills and approaches, students can approach a wide range of problems involving any type of rational number, adapting strategies for solving one problem to different problems in different settings with underlying similarities.

7.1.A. Compare and order rational numbers using the number line, lists, and the symbols <, >, or =.

Vocabulary Terms Ordering Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

7.1.B. Represent addition, subtraction, multiplication, and division of positive and negative integers visually and numerically.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

7.1.C. Fluently and accurately add, subtract, multiply, and divide rational numbers.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

7.1.D. Define and determine the absolute value of a number.

Flip Charts Integers & Exponents

Flip Charts Introduction to Integers

Flip Charts Introduction to Integers

Flip Charts Math Grade 6

Flip Charts Math Grade 8

7.1.E. Solve two-step linear equations.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

7.1.F. Write an equation that corresponds to a given problem situation, and describe a problem situation that corresponds to a given equation.

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

Core Content: Proportionality and similarity (Operations, Geometry/Measurement, Algebra) Students extend their work with ratios to solve problems involving a variety of proportional relationships, such as making conversions between measurement units or finding the percent increase or decrease of an amount. They also solve problems involving the proportional relationships found in similar figures, and in so doing reinforce an important connection between numerical operations and geometric relationships. Students graph proportional relationships and identify the rate of change as the slope of the related line. The skills and concepts related to proportionality represent some of the most important connecting ideas across K-12 mathematics. With a good understanding of how things grow proportionally, students can understand the linear relationships that are the basis for much of high school mathematics. If learned well, proportionality can open the door for success in much of secondary mathematics.

7.2.A. Mentally add, subtract, multiply, and divide simple fractions, decimals, and percents.

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Percent, Rate, Base

Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

7.2.C. Describe proportional relationships in similar figures and solve problems involving similar figures.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

7.2.E. Represent proportional relationships using graphs, tables, and equations, and make connections among the representations.

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Box It Up

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts Triangle Tricks

Vocabulary Terms Proportions/Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

7.2.F. Determine the slope of a line corresponding to the graph of a proportional relationship and relate slope to similar triangles.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

7.2.G. Determine the unit rate in a proportional relationship and relate it to the slope of the associated line.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

7.2.H. Determine whether or not a relationship is proportional and explain your reasoning.

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Box It Up

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts Triangle Tricks

Vocabulary Terms Proportions/Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

7.2.I. Solve single- and multi-step problems involving conversions within or between measurement systems and verify the solutions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Core Content: Surface area and volume (Geometry/Measurement) Students extend their understanding of surface area and volume to include finding surface area and volume of cylinders and volume of cones and pyramids. They apply formulas and solve a range of problems involving three-dimensional objects, including problems people encounter in everyday life, in certain types of work, and in other school subjects. With a strong understanding of how to work with both two-dimensional and three-dimensional figures, students build an important foundation for the geometry they will study in high school.

7.3.A. Determine the surface area and volume of cylinders using the appropriate formulas and explain why the formulas work.

Flip Charts Area & Circumference of Circles

Flip Charts Finding Volume

Flip Charts Math Grade 6

Flip Charts Math: Grade 7

Flip Charts Surface Areas of Solid Figures

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

7.3.B. Determine the volume of pyramids and cones using formulas.

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Core Content: Probability and data (Data/Statistics/Probability) Students apply their understanding of rational numbers and proportionality to concepts of probability. They begin to understand how probability is determined, and they make related predictions. Students revisit how to interpret data, now using more sophisticated types of data graphs and thinking about the meaning of certain statistical measures. Statistics, including probability, is considered one of the most important and practical fields of study for making sense of quantitative information, and it plays an important part in secondary mathematics in the 21st century.

7.4.B. Determine the theoretical probability of a particular event and use theoretical probability to predict experimental outcomes.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

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.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

Quiz, Flash Cards, Worksheet, Game & Study Guide Tables

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

7.4.D. Construct and interpret histograms, stem-and-leaf plots, and circle graphs.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Vocabulary Terms Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Tables

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

7.4.E. Evaluate different displays of the same data for effectiveness and bias, and explain reasoning.

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Additional Key Content (Numbers, Algebra) Students extend their coordinate graphing skills to plotting points with both positive and negative coordinates on the coordinate plane. Using pairs of numbers to locate points is a necessary skill for reading maps and tables and a critical foundation for high school mathematics. Students further prepare for algebra by learning how to use exponents to write numbers in terms of their most basic (prime) factors.

7.5.A. Graph ordered pairs of rational numbers and determine the coordinates of a given point in the coordinate plane.

Flip Charts Introduction to Functions

Flip Charts Math Grade 6

Flip Charts Math: Grade 7

Flip Charts Nonlinear Functions & Set Theory

Flip Charts Shape Up

Flip Charts Slope

Flip Charts The Coordinate Plane

Vocabulary Terms Plotting Points

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons

Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates

Quiz, Flash Cards, Worksheet, Game & Study Guide Plotting Points

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

7.5.B. Write the prime factorization of whole numbers greater than 1, using exponents when appropriate.

Flip Charts Exponents, Factors & Multiples

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Patterns

Core Processes: Reasoning, problem solving, and communication - Students refine their reasoning and problem-solving skills as they move more fully into the symbolic world of algebra and higher-level mathematics. They move easily among representations - numbers, words, pictures, or symbols - to understand and communicate mathematical ideas, to make generalizations, to draw logical conclusions, and to verify the reasonableness of solutions to problems. In grade seven, students solve problems that involve positive and negative numbers and often involve proportional relationships. As students solve these types of problems, they build a strong foundation for the study of linear functions that will come in grade eight.

7.6.A. Analyze a problem situation to determine the question(s) to be answered.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.6.B. Identify relevant, missing, and extraneous information related to the solution to a problem.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.6.C. Analyze and compare mathematical strategies for solving problems, and select and use one or more strategies to solve a problem.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.6.D. Represent a problem situation, describe the process used to solve the problem, and verify the reasonableness of the solution.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.6.F. Apply a previously used problem-solving strategy in a new context.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.6.G. Extract and organize mathematical information from symbols, diagrams, and graphs to make inferences, draw conclusions, and justify reasoning.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.6.H. Make and test conjectures based on data (or information) collected from explorations and experiments.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes