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Massachusetts Math Standards - 7th Grade

MathScore aligns to the Massachusetts Math Standards for 7th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.

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View the Massachusetts Math Standards at other levels.

Number Sense and Operations

7.N.1 Compare, order, estimate, and translate among integers, fractions and mixed numbers (i.e., rational numbers), decimals, and percents. (Compare Mixed Values 2 , Number Line , Fractions to Decimals , Decimals To Fractions , Compare Mixed Values , Positive Number Line , Percentages )
7.N.2 Use ratios and proportions in the solution of problems involving unit rates, scale drawings, and reading of maps. (Unit Cost , Area And Volume Proportions , Proportions 2 , Distance, Rate, and Time )
7.N.3 Represent numbers in scientific notation (positive powers of ten only) and use that notation in problem situations. (Scientific Notation )
7.N.4 Demonstrate an understanding of absolute value, e.g., |-3| = |3| = 3. (Absolute Value 1 )
7.N.5 Apply the rules of positive integer exponents to the solution of problems. Extend the Order of Operations to include positive integer exponents. (Order Of Operations , Prime Factoring 2 , Exponent Rules For Fractions )
7.N.6 Use the inverse relationships of addition and subtraction, and of multiplication and division, to simplify computations and solve problems, e.g., multiplying by 1/2 or 0.5 is the same as dividing by 2. (Missing Factor , Missing Term , Inverse Equations 1 , Inverse Equations 2 , Single Variable Equations , Single Variable Equations 2 )
7.N.7 Estimate and compute with fractions (including simplification of fractions), integers, decimals, and percents (including those greater than 100 and less than 1). (Fraction Simplification , Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division , Percentage Change , Percent of Quantity , Integer Addition , Integer Subtraction , Positive Integer Subtraction , Integer Multiplication , Integer Division , Integer Equivalence )
7.N.8 Determine when an estimate rather than an exact answer is appropriate and apply in problem situations. (Estimated Multiply Divide Word Problems )
7.N.9 Select and use appropriate operations-addition, subtraction, multiplication, division, and positive integer exponents-to solve problems with rational numbers (including negatives). (Fraction Word Problems , Fraction Word Problems 2 , Integers In Word Problems , Exponent Rules For Fractions )

Patterns, Relations, and Algebra

7.P.1 Extend, represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic expressions. Include arithmetic and geometric progressions, e.g., compounding. (Patterns: Numbers , Function Tables , Function Tables 2 )
7.P.2 Evaluate simple algebraic expressions for given variable values, e.g., 3a2 - b for a = 3 and b = 7. (Variable Substitution , Variable Substitution 2 )
7.P.3 Create and use symbolic expressions for linear relationships and relate them to verbal, tabular, and graphical representations. (Determining Slope )
7.P.4 Solve linear equations using tables, graphs, models, and algebraic methods. (Linear Equations )
7.P.5 Identify, describe, and analyze linear relationships between two variables. Compare positive rate of change, e.g., y = 3x + 1, to negative rate of change, e.g., y = -3x + 1. (Determining Slope )
7.P.6 Use linear equations to model and analyze problems involving proportional relationships. Use technology as appropriate. (Distance, Rate, and Time )

Geometry

7.G.1 Analyze, apply, and explain the relationship between the number of sides and the sums of the interior angle measures of polygons. (Polygon Angles )
7.G.2 Classify figures in terms of congruence and similarity, and apply these relationships to the solution of problems. (Congruent And Similar Triangles , Proportions 2 )
7.G.3 Demonstrate an understanding of the relationships of angles formed by intersecting lines, including parallel lines cut by a transversal. (Identifying Angles , Angle Measurements 2 )
7.G.4 Graph points and identify coordinates of points on the Cartesian coordinate plane (all four quadrants). (Ordered Pairs )
7.G.5 Use a ruler, protractor, and compass to draw polygons and circles. (Requires outside materials )
7.G.6 Predict the results of translations and reflections of figures on unmarked or coordinate planes and draw the transformed figure. (Translations and Reflections )
7.G.7 Identify three-dimensional figures (e.g., prisms, pyramids) by their physical appearance, distinguishing attributes, and spatial relationships such as parallel faces.

Measurement

7.M.1 Select, convert (within the same system of measurement), and use appropriate units of measurement or scale. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Area and Volume Conversions )
7.M.2 Given the formulas, convert from one system of measurement to another. Use technology as appropriate. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion )
7.M.3 Demonstrate an understanding of the concepts and apply formulas and procedures for determining measures, including those of area and perimeter/circumference of parallelograms, trapezoids, and circles. Given the formulas, determine the surface area and volume of rectangular prisms and cylinders. Use technology as appropriate. (Triangle Area , Triangle Area 2 , Parallelogram Area , Perimeter , Rectangular Solids , Rectangular Solids 2 , Circle Area , Circle Circumference , Cylinders , Trapezoids )

Data Analysis, Statistics, and Probability

7.D.1 Select, create, interpret, and utilize the following tabular and graphical representations of data: circle graphs, Venn diagrams, stem-and-leaf plots, tables, and charts. (Stem And Leaf Plots )
7.D.2 Find, describe, and interpret appropriate measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data. Use these notions to compare different sets of data. (Mean, Median, Mode )
7.D.3 Use tree diagrams, tables, organized lists, and area models to compute probabilities for simple compound events, e.g., multiple coin tosses or rolls of number cubes. (Probability 2 )

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