7th Grade Math Course of Study

7th grade math concepts include numbers, measurements, geometry, algebra, and probability.
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The following list provides you with the basic 7th-grade math concepts that should be attained by the end of the school year. Mastery of the concepts at the previous grade is assumed. A standard seventh-grade course of study includes numbers, measurements, geometry, algebra, and probability. Here's a breakdown of the specific topics.

Numbers

  • Give factors, multiples, integer amounts and square roots for numbers.
  • Compare and order decimals, fractions, and integers.
  • Add and subtract integers.
  • Be able to perform multi-step word problems for all of the above operations.
  • Add, subtract, multiply and divide fractions and convert between fractions, decimals, and percents.
  • Explain and justify a variety of procedures for the above-related concepts in problem-solving.

Measurements

  • Use measurement terms appropriately, be able to measure a variety of items at home and at school.
  • Be able to solve more complex problems with measurement estimations problems using a variety of formulas.
  • Estimate and calculate areas for trapezoids, parallelograms, triangles, prisms circles using the correct formulas.
  • Estimate and calculate volumes for prisms, sketch prisms (rectangular) given the volumes.

Geometry

  • Hypothesize, sketch, identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures and problems.
  • Sketch and construct a variety of shapes given the dimensions.
  • Create and solve a variety of geometric problems.
  • Analyze and identify shapes that have been rotated, reflected, translated and describe those that are congruent.
  • Determine if shapes/figures will tile a plane (tessellate).
  • Analyze different types of tiling patterns.

Algebra/Patterning

  • Extend, analyze and justify the explanations for patterns and their rules and a more complex level
  • Be able to write algebraic equations/expressions and write statements to understand simple formulas.
  • Evaluate a variety of simple linear algebraic expressions at a beginning level-- 1 variable and first-degree.
  • Be able to solve and simplify algebraic equations with the 4 operations.
  • Substitute natural numbers for variables when solving algebraic equations.

Probability

  • Design surveys, collect and organize more complex data and identify and explain patterns and trends in data.
  • Construct a variety of graphs and label them appropriately and state the difference between selecting one graph over another.
  • Defend your choices of graphs.
  • Make more accurate predictions based on data.
  • Understand the importance of statistics on decision making and provide real-life scenarios.
  • Describe collected data in terms of mean, median, and mode and be able to analyze any bias.
  • Make inferences, predictions, and evaluations based on interpretations of data collection results.
  • Be able to predict possible outcomes based on background information.
  • Apply the rules of probability to games of chance and sports.

Course Topics for All Grades