GVC's

Secondary Math 3 Class Goals (Guaranteed Viable Curriculum) - This is the material we will cover during this course.

I can identify zeros of polynomials when suitable factorizations are available and can use the zeros to construct a rough graph of the function defined by the polynomial.

  • I can use the Remainder Theorem to draw a rough graph of a polynomial.

  • I can recognize that repeated factors indicate multiplicity of roots and graph polynomials with repeated factors.

I can solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

  • I can solve rational equations in one variable

  • I can solve radical equations in one variable.

  • I can detect the presence of extraneous roots and explain conditions that give rise to them.

I can interpret key features of graphs and tables in terms of the quantities for a function that models a relationship between the two quantities.

  • I can interpret key features of graphs and tables in terms of the quantities for a function.

  • I can model the relationship between the two quantities.

  • I can sketch graphs showing key features given a verbal description of the relationship.

I can express as a logarithm (for exponential models) the solution to abxt - d where a, x, and d are numbers and the base b is 2, 10, or 3.

  • I can use the relationship between properties of logarithms and properties of exponents to solve problems.

  • I can use the connection between the properties of exponents and the basic logarithm property that log xy = log x + log y.

I understand and can apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

  • I can use the Law of Sines or the Law of Cosines to find unknown measures in triangles.

I can use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. I can recognize that there are data sets for which such a procedure is not appropriate.

  • I can use calculators, spreadsheets, and tables to estimate areas under the normal curve.

  • I understand that the shape of a normal distribution is symmetric, single-peaked, and bell-shaped.

  • I can distinguish between examples and non-examples of approximately normally distributed data.

  • I know that any normal distribution can be described by its mean and standard deviation.

  • I understand how the normal distribution uses area to make estimates of frequencies (which can be expressed as probabilities).

  • I know that 1, 2, and 3 standard deviations refer to 68%, 95%, or 99.7% of the population, respectively.

  • I can use technology or tables to estimate areas under the curve of a normal distribution.