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# West Virginia Standards Seventh Grade Mathematics resources

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Number and Operations: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems, demonstrate meanings of operations and how they relate to one another, and compute fluently and make reasonable estimates.

M.O.7.1.1. Students will compare, order, and differentiate among integers, decimals, fractions, and irrational numbers using multiple representations (e.g., symbols, manipulatives, graphing on a number line).

Flip Charts Math Grade 8

Flip Charts The Real Numbers

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

M.O.7.1.3. Students will using simple computation and problem-solving situations, demonstrate fluency and justify solutions in performing operations with rational numbers including negative numbers for

M.O.7.1.3.a. Adding

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

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 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 Rational numbers and operations

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

M.O.7.1.3.b. Subtracting

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

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

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 Rational numbers and operations

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

M.O.7.1.3.c. Multiplying

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 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

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

M.O.7.1.3.d. Dividing

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 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/Divide Fractions

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

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

M.O.7.1.4. Students will justify the use of the commutative, associative, distributive, identity and inverse properties to simplify numeric expressions.

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Properties of Addition & Multiplication

Flip Charts Properties of Addition & Multiplication

Flip Charts The Real Numbers

Vocabulary Terms Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Distributive Property

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

M.O.7.1.5. Students will analyze and solve grade-appropriate real-world problems with whole numbers, integers, decimals, fractions and percents including problems involving

M.O.7.1.5.a. Discounts,

Flip Charts Applying Percents

Flip Charts Math Grade 8

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

M.O.7.1.5.b. Interest,

Flip Charts Applying Percents

Flip Charts Math Grade 8

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 Percent, Rate, Base

M.O.7.1.5.c. Taxes,

Flip Charts Applying Percents

Flip Charts Math Grade 8

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

M.O.7.1.5.d. Tips,

Flip Charts Applying Percents

Flip Charts Math Grade 8

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

M.O.7.1.5.e. Percent increase or decrease, and

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

M.O.7.1.5.f. Justify solutions including using estimation and reasonableness.

Flip Charts Applying Percents

Flip Charts Math Grade 8

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 Percent, Rate, Base

M.O.7.1.6. Students will use inductive reasoning to find and justify the laws of exponents with numeric bases

Flip Charts Exponents, Factors & Multiples

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Exponents

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Repeated Multiplication to Exponents

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents to Repeated Multiplication

Algebra: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of patterns, relations and functions, represent and analyze mathematical situations and structures using algebraic symbols, use mathematical models to represent and understand quantitative relationships, and analyze change in various contents.

M.O.7.2.1. Students will use inductive reasoning to find missing elements in a variety of arithmetic and geometric patterns including algebraic sequences and series.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

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

M.O.7.2.2. Students will evaluate algebraic expressions with whole numbers, integers, absolute value and exponents using the order of operations.

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

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

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

M.O.7.2.3. Students will solve problems by creating an input/output function table(including, but not limited to, spreadsheets) to predict future values, given a real-world situation involving rational numbers.

Flip Charts Introduction to Functions

Flip Charts Math Grade 6

Flip Charts Math: Grade 7

Flip Charts Nonlinear Functions & Set Theory

M.O.7.2.5. Students will solve one-step linear equations and inequalities using a variety of strategies containing rational numbers with integer solutions; graph solutions, and justify the selection of the strategy and the reasonableness of the solution.

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

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

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

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 Rational numbers and operations

M.O.7.2.7. Students will determine the slope of a line from its graphical representation.

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

M.O.7.2.8. Students will represent algebraically and solve real-world application problems and justify solutions.

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

Geometry: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will: analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships, specify locations and describe spatial relationships using coordinate geometry and other representational systems, apply transformations and use symmetry to analyze mathematical situations, and solve problems using visualization, spatial reasoning, and geometric modeling.

M.O.7.3.1. Students will identify and construct

M.O.7.3.1.a. Angle-pairs adjacent, complementary, supplementary, vertical

Flip Charts Math Grade 8

Flip Charts Plane Geometry

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

M.O.7.3.1.b. Congruent segments and angles

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

M.O.7.3.2. Students will apply line symmetry to classify plane figures.

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

M.O.7.3.4. Students will pose and solve ratio and proportion problems including scale drawings and similar polygons.

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 The Real Numbers

Flip Charts Triangle Tricks

Vocabulary Terms Proportions/Equivalent Fractions

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

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

M.O.7.3.5. Students will solve problems and explain the relationships among scale factor and area and volume including

M.O.7.3.5.a. Square of a scale factor

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 Geometric Proportions

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

M.O.7.3.5.b. Cube of a scale factor

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

Measurement: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will: demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurements, and apply appropriate techniques, tools and formulas to determine measurements.

M.O.7.4.1. Students will select and apply an appropriate method to solve (including, but not limited to, formulas) justify the method and the reasonableness of the solution, given a real-world problem solving situation involving

M.O.7.4.1.b. Circumference

Flip Charts Area & Circumference of Circles

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Flip Charts Surface Areas of Solid Figures

Vocabulary Terms Area and Circumference of Circles

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles

Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

M.O.7.4.2. Students will use the Pythagorean Theorem to find the length of any side of a right triangle and apply to problem solving situations.

Flip Charts Math: Grade 7

Flip Charts The Pythagorean Theorem

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

M.O.7.4.3. Students will convert units of measurement, linear, area and volume, within customary and metric systems.

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

Data Analysis and Probability: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will: formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them, select and use appropriate statistical methods to analyze data, develop and evaluate inferences and predictions that are based on models, and apply and demonstrate an understanding of basic concepts of probability.

M.O.7.5.1. Students will determine theoretical probability of an event, make and test predictions through experimentation.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

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

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

M.O.7.5.3. Students will collect, organize, graphically represent, and interpret data displays including frequency distributions, line-plots, scatter plots, box and whiskers, and multiple-line graphs.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

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

M.O.7.5.4. Students will analyze and solve application problems involving measures of central tendency (mean, median, mode) and dispersion (range) from data, graphs, tables, and experiments using appropriate technology to compare two sets of data.

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 Using graphs to analyze data