Integrated Math I
High school · Math
Available tracks
Topics typically covered
Click a topic for the full text and related unit practice.
Integrated Math I scope aligned to the Common Core integrated pathway (Algebra 1 + coordinate geometry + intro statistics), as used in California, Georgia, North Carolina, and similar state frameworks.
Linear equations and inequalities
- Expressions and equations — Create and solve linear equations and inequalities in one variable
- Literal equations — Rearrange formulas to isolate a variable
- Absolute value equations — Solve absolute value equations and inequalities
- Systems (intro) — Solve systems of linear equations by graphing and substitution
Functions and sequences
- Function notation — Understand functions as rules; use f(x) notation and evaluate functions
- Linear functions — Graph linear functions; interpret slope and intercept in context
- Arithmetic sequences — Write explicit and recursive rules for arithmetic sequences
- Domain and range — Identify domain and range from graphs, tables, and descriptions
Coordinate geometry and congruence
- Distance and midpoint — Use distance and midpoint formulas on the coordinate plane
- Transformations — Perform and describe translations, reflections, rotations, and dilations
- Congruence and proof — Use transformations to establish triangle congruence; write basic geometric arguments
- Coordinate proofs — Verify properties of figures using coordinates and algebra
Exponential relationships
- Integer exponents — Apply properties of exponents to simplify expressions
- Exponential functions — Graph exponential functions and compare growth to linear models
- Geometric sequences — Model situations with geometric sequences and explicit rules
- Exponential applications — Interpret exponential models in population, finance, and science contexts
Descriptive statistics
- Summarizing data — Compute and interpret measures of center and spread for single-variable data
- Two-way tables — Organize categorical data; compute relative frequencies
- Scatter plots — Create scatter plots; describe association and fit lines informally
- Residuals and fit — Interpret residuals and limitations of linear models