Standards - Mathematics

MA19.MM.14

Use elements of the Mathematical Modeling Cycle to make predictions based on measurements that change over time, including motion, growth, decay, and cycling.

Unpacked Content

Knowledge

Students know:
  • how to measure motion as it changes over time.
  • how to use an exponential function to model growth and decay.
  • how to use a Sine or Cosine Function to model cycling functions.

Skills

Students are able to:
  • Calculate motion at any time (d=rt).
  • Calculate exponential growth.
  • Calculate exponential decay.
  • Calculate sine or cosine values from a function.

Understanding

Students understand that:
  • Some problems involve rates that change over time and mathematical models can be used to make predictions.

Vocabulary

  • Mathematical Modeling Cycle
  • Uniform Motion
  • Growth Model
  • Decay Model
  • Cycling

MA19.MM.15

Use regression with statistical graphing technology to determine an equation that best fits a set of bivariate data, including nonlinear patterns.

COS Examples

Examples: global temperatures, stock market values, hours of daylight, animal population, carbon dating measurements, online streaming viewership

Unpacked Content

Knowledge

Students know:
  • how to plot points using graphing technology.
  • how to find a regression equation using graphing technology.
  • how to use a regression equation to make a prediction.

Skills

Students are able to:
  • plot points.
  • Distinguish between linear and nonlinear functions.
  • Use graphing technology.

Understanding

Students understand that:
  • Regression equations can be used to model data.
  • Graphing technology helps us find regression equations.
  • The regression equation can be used to make a prediction.

Vocabulary

  • Regression Equation
  • "Best Fit"
  • Bivariate Data
  • Linear Pattern
  • Non-linear pattern
  • Scatter Plot
  • Quantitative Variable
  • Extrema
  • Inflection

MA19.MM.16

Create a linear representation of non-linear data and interpret solutions, using technology and the process of linearization with logarithms.

Unpacked Content

Knowledge

Students know:
  • the properties of logarithms and can use them to rewrite problems in different forms.

Skills

Students are able to:
  • use the power property of logarithms.
  • Recognize the difference between a linear and a nonlinear function.

Understanding

Students understand:
  • It is often easier to solve linear functions rather than non-linear functions.
  • The use of logarithmic properties allows you to rewrite exponential functions as linear functions.

Vocabulary

  • Non-linear
  • Linearization
ALSDE LOGO