Virginia 7th Grade Math Standards

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NS Number and Number Sense

• NS.7.1 The student will
  • NS.7.1.a investigate and describe the concept of negative exponents for powers of ten;
  • NS.7.1.b compare and order numbers greater than zero written in scientific notation;
  • NS.7.1.c compare and order rational numbers;
  • NS.7.1.d determine square roots of perfect squares; and
  • NS.7.1.e identify and describe absolute value of rational numbers.

CE Computation and Estimation

• CE.7.2 The student will solve practical problems involving operations with rational numbers.
• CE.7.3 The student will solve single-step and multistep practical problems, using proportional reasoning.

MG Measurement and Geometry

• MG.7.4 The student will
  • MG.7.4.a describe and determine the volume and surface area of rectangular prisms and cylinders; and
  • MG.7.4.b solve problems, including practical problems, involving the volume and surface area of rectangular prisms and cylinders.
• MG.7.5 The student will solve problems, including practical problems, involving the relationship between corresponding sides and corresponding angles of similar quadrilaterals and triangles.
• MG.7.6 The student will
  • MG.7.6.a compare and contrast quadrilaterals based on their properties; and
  • MG.7.6.b determine unknown side lengths or angle measures of quadrilaterals.
• MG.7.7 The student will apply translations and reflections of right triangles or rectangles in the coordinate plane.

PS Probability and Statistics

• PS.7.8 The student will
  • PS.7.8.a determine the theoretical and experimental probabilities of an event; and
  • PS.7.8.b investigate and describe the difference between the experimental probability and theoretical probability of an event.
• PS.7.9 The student, given data in a practical situation, will
  • PS.7.9.a represent data in a histogram;
  • PS.7.9.b make observations and inferences about data represented in a histogram; and
  • PS.7.9.c compare histograms with the same data represented in stem-and-leaf plots, line plots, and circle graphs.

PFA Patterns, Functions, and Algebra

• PFA.7.10 The student will
  • PFA.7.10.a determine the slope, m, as rate of change in a proportional relationship between two quantities and write an equation in the form y = mx to represent the relationship;
  • PFA.7.10.b graph a line representing a proportional relationship between two quantities given the slope and an ordered pair, or given the equation in y = mx form where m represents the slope as rate of change;
  • PFA.7.10.c determine the y-intercept, b, in an additive relationship between two quantities and write an equation in the form y = x + b to represent the relationship;
  • PFA.7.10.d graph a line representing an additive relationship between two quantities given the y-intercept and an ordered pair, or given the equation in the form y = x + b, where b represents the y-intercept; and
  • PFA.7.10.e make connections between and among representations of a proportional or additive relationship between two quantities using verbal descriptions, tables, equations, and graphs.
• PFA.7.11 The student will evaluate algebraic expressions for given replacement values of the variables.
• PFA.7.12 The student will solve two-step linear equations in one variable, including practical problems that require the solution of a two-step linear equation in one variable.
• PFA.7.13 The student will solve one- and two-step linear inequalities in one variable, including practical problems, involving addition, subtraction, multiplication, and division, and graph the solution on a number line.