Education and Early Childhood Learning

General Learning Outcome: Develop spatial sense and proportional reasoning.

• 10I.M.1. Solve problems that involve linear measurement, using

  • SI and imperial units of measure
  • estimation strategies
  • measurement strategies

  [ME, PS, V]

• 10I.M.2. Apply proportional reasoning to problems that involve conversions within and between SI and imperial units of measure.
  [C, ME, PS, T]

• 10I.M.3. Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including

  • right cones
  • right cylinders
  • right prisms
  • right pyramids
  • spheres

  [CN, PS, R, T, V]

• 10I.M.4. Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.
  [C, CN, PS, R, T, V]

General Learning Outcome: Develop algebraic reasoning and number sense.

• 10I.A.1. Demonstrate an understanding of factors of whole numbers by determining

  • prime factors
  • greatest common factor
  • least common multiple
  • square root
  • cube root

  [CN, ME, R]

• 10I.A.2. Demonstrate an understanding of irrational numbers by

  • representing, identifying, and simplifying irrational numbers
  • ordering irrational numbers

  [CN, ME, R, V]

• 10I.A.3.Demonstrate an understanding of powers with integral and rational exponents.
  [C, CN, PS, R]

  This learning outcome offers the opportunity to expose students to scientific notation.

• 10I.A.4. Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials, and trinomials), concretely, pictorially, and symbolically.
  [C, CN, R, V]

  Note: It is intended that the emphasis of this learning outcome be on binomial-by-binomial multiplication, with extension to polynomial-by-polynomial to establish a general pattern for multiplication.

• 10I.A.5. Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially, and symbolically.
  [C, CN, R, V]

General Learning Outcome: Develop algebraic and graphical reasoning through the study of relations.

• 10I.R.1. Interpret and explain the relationships among data, graphs, and contexts.
  [C, CN, R, T, V]

• 10I.R.2. Demonstrate an understanding of relations and functions.
  [C, R, V]

• 10I.R.3. Demonstrate an understanding of slope with respect to

  • rise and run
  • line segments and lines
  • rate of change
  • parallel lines
  • perpendicular lines

  [PS, R, V]

• 10I.R.4. Describe and represent linear relations, using

  • words
  • ordered pairs
  • tables of values
  • graphs
  • equations

  [C, CN, R, V]

• 10I.R.5. Determine the characteristics of the graphs of linear relations, including the

  • intercepts
  • slope
  • domain
  • range

  [CN, PS, R, T, V]

• 10I.R.6. Relate linear relations expressed in

  • slope–intercept form $(y=mx+b)$
  • general form $(Ax+By+C=0)$
  • slope–point form $(y-y_1=\mathrm{m}(\mathrm{x}-{\mathrm{x}}_1\left)\right)$

  to their graphs.
  [CN, PS, R, T, V]

• 10I.R.7. Determine the equation of a linear relation, given

  • a graph
  • a point and the slope
  • two points
  • a point and the equation of a parallel or perpendicular line
  • a scatterplot

  [C, CN, PS, R, T, V]

• 10I.R.8. Represent a linear function, using function notation.
  [CN, ME, V]

• 10I.R.9. Solve problems that involve systems of linear equations in two variables, graphically and algebraically.
  [CN, PS, R, T, V]

• 10I.R.10. Solve problems that involve the distance between two points and the midpoint of a line segment.
  [C, CN, PS, T, V]