High School Math: Integrated Pathway

Integrated Mathematics I students:

• Gain an understanding of the properties of real numbers.
• Formalize the language of functions.
• Explore the behavior of functions numerically, graphically, analytically, and verbally.
• Compare the relative rate of change of linear and exponential functions.
• Use technology to discover relationships, test inferences, and solve problems.
• Write expressions, equations, and inequalities from physical models.
• Summarize, represent, and interpret statistical models.
• Communicate mathematics understanding formally and informally.

Integrated Mathematics II students:

• Work with functions graphically, numerically, analytically, and verbally.
• Read, analyze, and solve right triangle and trigonometric functions within contextual situations.
• Explore and understand similarity in terms of transformations and prove geometric theorems.
• Explain work clearly so that the reasoning process can be followed throughout the solution.
• Utilize technology to discover relationships, test inferences, and solve problems.
• Understand and use the rules of probability to compute probabilities and evaluate outcomes of decisions.

Integrated Mathematics III students:

• Further study the algebra of functions.
• Read and analyze contextual situations involving exponential and logarithmic functions.
• Develop area formulas necessary for determining volumes of rotational solids, solids with known cross sections, and area beneath a curve.
• Learn optimization problems.
• Learn the concept of infinite sum as a limit of partial sums.
• Work with statistics in numerical summaries, calculations using the normal curve, and the modeling of data.
• Apply technology to discover relationships, test conjectures, and solve problems.

Precalculus students:

• Gain an introductory understanding of convergence and divergence.
• Collect, analyze, and draw conclusions from data.
• Solve problems in contextual situations dealing with polynomial, rational, logarithmic, and trigonometric functions.
• Model motion using parametric equations and vectors.
• Develop an intuitive understanding of limits and continuity.
• Justify their reasoning and understanding verbally, in writing, and with models.
• Use technology to explore and support conjectures.