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Seventh Grade Core Learning Goals

Seventh grade students engage in problem solving, communication, reasoning, connecting and representing as they:

  • Model and compare rational numbers with an emphasis on integers
  • Use rates, ratios, and percents to solve problems
  • Demonstrate the meaning of whole number exponents as repeated multiplication
  • Determine the prime factorization of a number and express the prime factorization using exponents when applicable
  • Use greatest common factor (GCF) and least common multiple (LCM) to solve problems
  • Describe the effects of multiplying or dividing a number by a number between 0 and 1
  • Develop, analyze, and use algorithms to compute with integers
  • Use order of operations rules, including exponents
  • Solve problems using ratios, proportions, percents and/or rates
  • Add or subtract measurements
  • Develop, use and/or describe strategies to find the circumference and area of a circle
  • Develop and use strategies and formulas for calculating surface area and volume of right prisms, pyramids, and cylinders
  • Develop strategies for determining approximate volumes of irregular shapes
  • Compare and contrast the formulas for surface area and volume of prisms and pyramids
  • Draw objects to scale and use scale drawings to solve problems
  • Construct and interpret box-and-whisker plots
  • Understand how the inclusion or exclusion of outliers affects measure of central tendency
  • Compare experimental probability of an event with the theoretical probability and explain the difference
  • Construct a sample space to determine theoretical probabilities and expected values
  • Formulate questions and design experiments or surveys to collect relevant data
  • Defend or dispute conclusions drawn from interpretation of data
  • Identify parallel and intersecting lines and pair of angles formed by parallel lines cut by a transversal and determine their measure
  • Use 2-dimensional representations of 3-dimensional objects, including nets, to solve problems involving surface area and volume
  • Represent reflections, rotations, and translations on the coordinate plane
  • Build 3-dimensional objects from 2-dimensional representations and draw 2-dimensional representations of 3-dimensional objects
  • Identify, define, and describe similar and congruent polygons with respect to angle measure, length of sides, and proportionality of sides
  • Represent, analyze and determine rules for finding patterns involving integers with tables, graphs, words, and when possible symbolic rules
  • Algebraically represent situations and solve problems involving linear equations and inequalities
  • Evaluate algebraic expressions by substituting integers
  • Graph linear equations on a coordinate grid by making a table using integer coordinates
  • Investigate how a change in one variable relates to a change in a second variable

Eighth Grade