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Eighth Grade Core Learning Goals

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

  • Use scientific notation or exponential forms to express numbers
  • Add, subtract, multiply and/or divide integers, fractions, and/or decimals with and without a calculator
  • Apply ratio and proportion to mathematical problem situations involving distance, rate, time, and similar triangles
  • Determine when an overestimate or underestimate is appropriate
  • Determine tips and discounts using ratios, proportions, and percents
  • Apply proportions to solve problems
  • Interpret, model, and use percents greater than 100 and less than 1 to solve problems
  • Simplify expressions involving integers, using the order of operations
  • Apply understanding of rational numbers to solve problems using proportional reasoning (e.g., rate, equivalent ratios, scaling)
  • Develop, analyze, and use algorithms to compute with rational numbers
  • Use the inverse operations of squares and square roots to solve and check solutions
  • Convert measurements within the same system
  • Calculate and analyze changes in area and volume in relation to changes in linear measures of figures
  • Compute area, perimeter, volume for simple and complex figures
  • Solve rate problem
  • Determine the measurement of a missing side(s) or angle(s) in a polygon
  • Use scale measurements to interpret maps or drawings
  • Use proportional reasoning, drawings, models or technology to demonstrate congruence and similarity of polygons with an emphasis on triangles
  • Justify conclusions that two triangles are or are not congruent and are or are not similar
  • Determine the measures of corresponding sides and angles of congruent and similar triangles and their component parts
  • Use similar triangles to measure distances indirectly
  • Use the Pythagorean theorem to determine if triangles are right triangles and determine the lengths of missing sides of right triangles
  • Identify and/or find the measure of corresponding angles, alternate interior angles or alternate exterior angle
  • Describe, analyze and/or draw translations (slides), rotations (turns) and reflections (flips)
  • Estimate the line of best fit on a scatter plot and informally explain the meaning of the line and use the line to make predictions
  • Distinguish between random and biased samples and identify possible sources of bias in sampling
  • Determine the graphical representation of a set of data that best shows key characteristics of the data
  • Choose which measure of central tendency is appropriate for a given situation
  • Determine probabilities of dependent and independent events (e.g., use colored marbles with and without replacement)
  • Determine the number of combinations and/or permutations for an event
  • Generalize a wide variety of patterns using symbolic language
  • Solve one or two step equations and inequalities
  • Determine the value of an algebraic expression by simplifying and/or substituting a value for the variable
  • Write and solve an equation for a given problem situation
  • Match a written situation to its numeric and/or algebraic expression, equation or inequality
  • Graph a linear function based on a x/y table
  • Match the graph of an equation or an equality to its x/y table
  • Recognize and graph the solutions of linear inequalities on a number line
  • Evaluate algebraic expressions and formulas by substituting real numbers

Ninth Grade