Missouri flagMissouri: Grade 7 Math Standards

63 standards · 5 domains

DATA ANALYSIS, STATISTICS AND PROBABILITY

  • 7.DSP.A.1 Understand that statistics can be used to gain information about a population by examining a sample of the population.
  • 7.DSP.A.1a Understand that a sample is a subset of a population.
  • 7.DSP.A.1b Understand that generalizations from a sample are valid only if the sample is representative of the population.
  • 7.DSP.A.1c Understand that random sampling is used to produce representative samples and support valid inferences.
  • 7.DSP.A.2 Use data from multiple samples to draw inferences about a population and investigate variability in estimates of the characteristic of interest.
  • 7.DSP.B.3 Analyze different data distributions using statistical measures.
  • 7.DSP.B.4 Compare the numerical measures of center, measures of frequency and measures of variability from two random samples to draw inferences about the population.
  • 7.DSP.C.5 Investigate the probability of chance events.
  • 7.DSP.C.5a Determine probabilities of simple events.
  • 7.DSP.C.5b Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
  • 7.DSP.C.6 Investigate the relationship between theoretical and experimental probabilities for simple events.
  • 7.DSP.C.6a Predict outcomes using theoretical probability.
  • 7.DSP.C.6b Perform experiments that model theoretical probability.
  • 7.DSP.C.6c Compare theoretical and experimental probabilities.
  • 7.DSP.C.7 Explain possible discrepancies between a developed probability model and observed frequencies.
  • 7.DSP.C.7a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
  • 7.DSP.C.7b Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.
  • 7.DSP.C.8 Find probabilities of compound events using organized lists, tables, tree diagrams and simulations.
  • 7.DSP.C.8a Represent the sample space of a compound event.
  • 7.DSP.C.8b Design and use a simulation to generate frequencies for compound events.

EXPRESSIONS, EQUATIONS AND INEQUALITIES

  • 7.EEI.A.1 Apply properties of operations to simplify and to factor linear algebraic expressions with rational coefficients.
  • 7.EEI.A.2 Understand how to use equivalent expressions to clarify quantities in a problem.
  • 7.EEI.B.3 Solve multi-step problems posed with rational numbers.
  • 7.EEI.B.3a Convert between equivalent forms of the same number.
  • 7.EEI.B.3b Assess the reasonableness of answers using mental computation and estimation strategies.
  • 7.EEI.B.4 Write and/or solve linear equations and inequalities in one variable.
  • 7.EEI.B.4a Write and/or solve equations of the form x+p = q and px = q in which p and q are rational numbers.
  • 7.EEI.B.4b Write and/or solve two-step equations of the form px + q = r and p(x + q) = r, where p, q and r are rational numbers, and interpret the meaning of the solution in the context of the problem.
  • 7.EEI.B.4c Write, solve and/or graph inequalities of the form px + q > r or px + q < r, where p, q and r are rational numbers.

GEOMETRY AND MEASUREMENT

  • 7.GM.A.1 Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.
  • 7.GM.A.2 Use a variety of tools to construct geometric shapes.
  • 7.GM.A.2a Determine if provided constraints will create a unique triangle through construction.
  • 7.GM.A.2b Construct special quadrilaterals given specific parameters.
  • 7.GM.A.3 Describe two-dimensional cross sections of pyramids, prisms, cones and cylinders.
  • 7.GM.A.4 Understand the concepts of circles.
  • 7.GM.A.4a Analyze the relationships among the circumference, the radius, the diameter, the area and Pi in a circle.
  • 7.GM.A.4b Know and apply the formulas for circumference and area of circles to solve problems.
  • 7.GM.B.5 Use angle properties to write and solve equations for an unknown angle.
  • 7.GM.B.6 Understand the relationship between area, surface area and volume.
  • 7.GM.B.6a Find the area of triangles, quadrilaterals and other polygons composed of triangles and rectangles.
  • 7.GM.B.6b Find the volume and surface area of prisms, pyramids and cylinders.

NUMBER SENSE AND OPERATIONS

  • 7.NS.A.1 Apply and extend previous understandings of numbers to add and subtract rational numbers.
  • 7.NS.A.1a Add and subtract rational numbers.
  • 7.NS.A.1b Represent addition and subtraction on a horizontal or vertical number line.
  • 7.NS.A.1c Describe situations and show that a number and its opposite have a sum of 0 (additive inverses).
  • 7.NS.A.1d Understand subtraction of rational numbers as adding the additive inverse.
  • 7.NS.A.1e Determine the distance between two rational numbers on the number line is the absolute value of their difference.
  • 7.NS.A.1f Interpret sums and differences of rational numbers.
  • 7.NS.A.2 Apply and extend previous understandings of numbers to multiply and divide rational numbers.
  • 7.NS.A.2a Multiply and divide rational numbers.
  • 7.NS.A.2b Determine that a number and its reciprocal have a product of 1 (multiplicative inverse).
  • 7.NS.A.2c Understand that every quotient of integers (with non-zero divisor) is a rational number.
  • 7.NS.A.2d Convert a rational number to a decimal.
  • 7.NS.A.2e Understand that all rational numbers can be written as fractions or decimal numbers that terminate or repeat.
  • 7.NS.A.2f Interpret products and quotients of rational numbers by describing real-world contexts.
  • 7.NS.A.3 Solve problems involving the four arithmetic operations with rational numbers.

RATIOS AND PROPORTIONAL RELATIONSHIPS

  • 7.RP.A.1 Compute unit rates, including those that involve complex fractions, with like or different units.
  • 7.RP.A.2 Recognize and represent proportional relationships between quantities.
  • 7.RP.A.2a Determine when two quantities are in a proportional relationship.
  • 7.RP.A.2b Identify and/or compute the constant of proportionality (unit rate).
  • 7.RP.A.2c Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.
  • 7.RP.A.2d Recognize that the graph of any proportional relationship will pass through the origin.
  • 7.RP.A.3 Solve problems involving ratios, rates, percentages and proportional relationships.