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Tenth Grade Core Learning Goals

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

  • Compare and/or plot irrational numbers at the approximate location on a number line
  • Solve problems using operations with rational numbers including rates and percents, distance, work and mixture problems
  • Solve problems using direct and inverse proportions
  • Identify and/or use proportional relationships in problem solving
  • Use estimation strategies in problem solving situations
  • Demonstrate skills for using computer spreadsheets and scientific and graphing calculators
  • Select and use appropriate mathematical concepts and techniques from different areas of mathematics and apply them to solving non-routine and multi-step problems
  • Measure and/or compare angles up to 360 degrees
  • Classify, use or determine measurements of angles (complementary, supplementary, alternate interior, alternate exterior and vertical)
  • Find perimeter, circumference or area of inscribed and/or circumscribed figures
  • Find the measurement of a missing length given the perimeter, circumference, area or volume
  • Describe how a change in the linear dimension of a figure affects its perimeter, circumference, area or volume
  • Recognize and/or use the properties of a chord, tangent and/or secant of a circle
  • Recognize and/or use the properties of arcs, semicircles, inscribed angles and/or central angles
  • Identify and/or use properties of triangles (e.g., medians, altitudes, angle bisectors, side/angle relationships)
  • Recognize and/or use properties of quadrilaterals (e.g., parallel sides, diagonal, bisectors, congruent sides and supplementary angles)
  • Use properties of congruence, correspondence and similarity in problem-solving situations involving 2- and 3-dimensional figures
  • Find the distance and/or midpoint between 2 points on a number line or on a coordinate plane (formula provided)
  • Relate slope to perpendicularity and/or parallelism
  • Use experimental and theoretical probability distributions to make judgments about the likelihood of various outcomes in uncertain situations
  • Apply counting techniques to problem-solving situations
  • Make predictions using data displays and/or probabilities
  • Identify and/or graph linear inequalities on a coordinate plane
  • Determine how a change in one variable relates to a change in a second variable (e.g., Y = 4/x, if x doubles, what happens to y?)
  • Given the graph of the line, 2 points on the line or the slope and a point on a line, identify the linear equation in point-slope, standard, and/or slope-intercept form
  • Estimate areas under curves using sequences of areas

Eleventh Grade