Integrated Math 1
Integrated Math 1 is the first course in a three-year sequence of college preparatory mathematics courses leading to Pre-Calculus or AP Statistics. It aims to deepen and extend student understanding built in previous courses by focusing on developing fluency with solving linear equations, inequalities, and systems. These skills are extended to solving simple exponential equations, exploring linear and exponential functions graphically, numerically, symbolically, and as sequences, and by using regression techniques to analyze the fit of models to distributions of data.
Key concepts addressed in this course include:
- Geometric transformations (reflection, rotation, translation, and dilation) and symmetry.
- Relationships between figures (such as similarity and congruence) in terms of rigid motions and similarity transformations.
- Properties of plane figures.
- Proofs of geometric theorems (investigate patterns to make conjectures, and formally prove them).
- Modeling with geometry.
- Measurements of plane figures (such as area, perimeter, and angle measure).
- Measurements of three-dimensional solids (such as volume and surface area).
- Tools for analyzing and measuring right triangles, general triangles, and complex shapes (such as the Pythagorean Theorem, and trigonometric ratios).
- Probability (independence and conditional probability, compound events, expected value, and permutations and combinations).
- Representations of quadratic functions with a graphs, tables, equations, and contexts.
- Symbolic manipulation of expressions in order to solve problems, such as factoring, distributing, multiplying polynomials, expanding exponential expressions, etc.
- Using algebra to write and solve equations arising from geometric situations.
- Investigation of a variety of functions including square root, cube root, absolute value, piecewise-defined, step, and simple inverse functions.