SpringBoard Integrated Mathematics is a three-course series that emphasizes the connections among algebra, geometry, statistics, data analysis, and probability. Each course includes topics from these content areas. This integrated approach helps students gain a deep understanding of key math concepts and how they’re connected.
Integrated Mathematics I
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
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
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.
- 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.
Go to Sample Activities to download samples that you can use in your classroom.