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# Vermont Standards Seventh Grade Mathematics resources

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Mathematical Problem Solving: Applications: Students use concrete, formal, and informal strategies to solve mathematical problems, apply the process of mathematical modeling, and extend and generalize mathematical concepts. Students apply mathematics as they solve scientific and technological problems or work with technological systems.

M7:30. Demonstrate understanding of mathematical problem solving and communication through approach and reasoning - the reasoning, strategies, and skills used to solve the problem.

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

M7:32. Demonstrate understanding of mathematical problem solving and communication through solution - all of the work that was done to solve the problem, including the answer.

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

M7:33. Demonstrate understanding of mathematical problem solving and communication through mathematical language - the use of mathematical language in communicating the solution.

Flip Charts Area & Circumference of Circles

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Perimeter & Area

Flip Charts Plane Geometry

Flip Charts Ratios, Rates & Proportions

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Flip Charts Surface Areas of Solid Figures

Flip Charts The Pythagorean Theorem

Vocabulary Terms Area and Circumference of Circles

Vocabulary Terms Area of Triangles and Quadrilaterals

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

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Triangles and Quadrilaterals

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

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 Geometric Proportions

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

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

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

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships

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

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

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

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

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

M7:35. Demonstrate understanding of mathematical problem solving and communication through documentation - presentation of the solution.

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

Mathematical Understanding: Arithmetic, Number, and Operation Concepts: Students understand arithmetic in computation, and they select and use, in appropriate situations, mental arithmetic, pencil and paper, calculator, and computer.

M7:1. Demonstrates conceptual understanding of rational numbers with respect to percents as a means of comparing the same or different parts of the whole when the wholes vary in magnitude (e.g., 8 girls in a classroom of 16 students compared to 8 girls in a classroom of 20 students, or 20% of 400 compared to 50% of 100); and percents as a way of expressing multiples of a number (e.g., 200% of 50) using models, explanations, or other 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 The Real Numbers

Flip Charts Triangle Tricks

Vocabulary Terms Proportions/Equivalent 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 Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers

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 Percent, Rate, Base

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

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 Rational and Irrational Numbers

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

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

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

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

M7:2. Demonstrates understanding of the relative magnitude of numbers by ordering, comparing, or identifying equivalent rational numbers across number formats, numbers with whole-number bases and whole-number exponents (e.g., 3^3, 4^3), integers, absolute values, or numbers represented in scientific notation using number lines or equality and inequality symbols.

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

M7:3. Demonstrates conceptual understanding of operations with integers, exponents, and square roots of perfect square numbers and non-perfect square numbers using models, diagrams, or explanations.

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 Repeated Multiplication to Exponents

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

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

M7:4. Accurately solves problems involving proportional reasoning; percents involving discounts, tax, or tips; and rates. And accurately solves problems involving integers, raising numbers to whole-number powers, and determining square roots of perfect square numbers and non-perfect square numbers.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Box It Up

Flip Charts Exponents, Factors & Multiples

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numbers & Operations

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 Applications of percent

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

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 Integer operations

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

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 Order of Operations

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

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 Exponents to Repeated Multiplication

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

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

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

M7:7. Estimates and evaluates the reasonableness of solutions appropriate to grade level.

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

M7:8. Applies properties of numbers (greatest common factor [GCF], least common multiple [LCM], composition/decomposition, divisibility, prime factorization, inverses, and identities), and commutative, distributive, and associative properties of operations, and exponents using powers of ten and scientific notation to solve problems and to simplify computations.

Flip Charts Exponents, Factors & Multiples

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Properties of Addition & Multiplication

Flip Charts Properties of Addition & Multiplication

Flip Charts The Real Numbers

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

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

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

Mathematical Understanding: Geometric and Measurement Concepts: Students use geometric and measurement concepts.

M7:11. Applies the properties of number of vertices, number of edges, faces, and types of angles, symmetry, to identify and distinguish among three-dimensional shapes (rectangular prisms, triangular prisms, pyramids, cubes) and uses properties to solve problems involving three-dimensional shapes.

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 Finding Volume

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

M7:13. Applies concepts of similarity by solving problems involving scaling up or down and their impact on angle measures, linear dimensions and areas of polygons, and circles when the linear dimensions are multiplied by a constant factor. Describes effects using models or explanations.

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 Ratios, proportions and percents

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

M7:14. Demonstrates conceptual understanding of the area of circles or the area or perimeter of composite figures (quadrilaterals, triangles, or parts of circles), and the surface area of rectangular prisms, or volume of rectangular prisms, triangular prisms, or cylinders using models, formulas, or by solving related problems. Expresses all measures using appropriate units.

Flip Charts Area & Circumference of Circles

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

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

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 Exploring Area and Surface Area

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

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

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

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

M7:9. Uses properties of angle relationships resulting from two or three intersecting lines (adjacent angles, vertical angles, straight angles, or angle relationships formed by two nonparallel lines cut by a transversal), or two parallel lines cut by a transversal to solve problems.

Flip Charts Math Grade 8

Flip Charts Plane Geometry

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

Mathematical Understanding: Function and Algebra Concepts: Students use function and algebra concepts.

M7:19. Identifies and extends to specific cases a variety of patterns (linear and nonlinear) represented in models, tables, sequences, graphs, or in problem situations; and generalizes a linear relationship using words and symbols; generalizes a linear relationship to find a specific case; or writes an expression or equation using words or symbols to express the generalization of a nonlinear relationship.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

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

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

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

M7:20. Demonstrates conceptual understanding of linear relationships (y = kx; y = mx + b) as a constant rate of change by solving problems involving the relationship between slope and rate of change, by describing the meaning of slope in concrete situations, or informally determining the slope of a line from a table or graph; and distinguishes between constant and varying rates of change in concrete situations represented in tables or graphs; or describes how change in the value of one variable relates to change in the value of a second variable in problem situations with constant rates of change.

Flip Charts Introduction to Functions

Flip Charts Math Grade 6

Flip Charts Math: Grade 7

Flip Charts Nonlinear Functions & Set Theory

Flip Charts Slope

Vocabulary Terms Nonlinear Functions and Set Theory

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

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

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Nonlinear Functions and Set Theory

M7:21. Demonstrates conceptual understanding of algebraic expressions by using letters to represent unknown quantities to write algebraic expressions (including those with whole-number exponents or more than one variable); or by evaluating algebraic expressions (including those with whole-number exponents or more than one variable); or by evaluating an expression within an equation (e.g., determine the value of y when x = 4 given y = 5 x3 - 2).

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 Formulas

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

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

M7:22. Demonstrates conceptual understanding of equality by showing equivalence between two expressions (expressions consistent with the parameters of the left- and right-hand sides of the equations being solved at this grade level) using models or different representations of the expressions, solving multistep linear equations of the form ax +/-b = c with a not equal to 0, ax +/-b = cx +/-d with a, c not equal to 0, and (x/a) +/-b = c with a not equal to 0, where a, b, c and d are whole numbers; or by translating a problem-solving situation into an equation consistent with the parameters of the type of equations being solved for this grade level.

Flip Charts Math Grade 6

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

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 Equations

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

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 Fraction Operations

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 Introduction to Percent

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

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

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

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

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

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

Mathematical Understanding: Statistics and Probability Concepts: Students use statistics and probability concepts.

M7:23. Interprets a given representation (circle graphs, scatter plots that represent discrete linear relationships, or histograms) to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.

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 Displaying data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships

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

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

M7:24. Analyzes patterns, trends, or distributions in data in a variety of contexts by solving problems using measures of central tendency (mean, median, or mode), dispersion (range or variation), or outliers to analyze situations to determine their effect on mean, median, or mode; and evaluates the sample from which the statistics were developed (bias).

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

M7:25. Identifies or describes representations or elements of representations that best display a given set of data or situation, consistent with the representations required in M7:23. Organizes and displays data using line graphs or histograms, bar graphs, tables, frequency tables, line plots, and stem-and-leaf plots to answer question related to the data, to analyze the data to formulate or justify conclusions, or to make predictions.

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 Displaying data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships

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

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

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

M7:26. Uses counting techniques to solve problems in context involving combinations using a variety of strategies (e.g., organized lists, tables, tree diagrams, area models, Fundamental Counting Principle, or others); or determines the possible outcomes for a sample space that may or may not contain equally likely outcomes.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

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

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

M7:27. For a probability event in which the sample space may or may not contain equally likely outcomes, determines the experimental or theoretical probability of a simple event or an event in a problem-solving situation.

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

M7:29. Compares and contrasts theoretical and experimental probabilities of events; and uses theoretical or experimental probabilities to determine the fairness of a game. Represents probabilities using fractions, decimals, or percents.

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 Probability

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

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