Integrated Math I
Integrated Math is a math series running parallel to the traditional High School curriculum with its progression from Algebra I, Geometry, to Algebra II.
Integrated Math presents a comprehensive collection of mathematical concepts designed to give students a deeper understanding of the world. It includes ideas from algebra, geometry, probability and statistics, and trigonometry, and teaches them as interrelated disciplines.
This full-year course can be taken after completing Pre-Algebra to prepare students for High School. It covers linear equations, graphing lines, quadratic equations, function notation, rational expressions and equations. Additional topics include lines and planes, rays and angles, two-column proofs, congruent triangles, trigonometric relations, polygons and circles, geometric solids, coordinate geometry, graphing equations, and data analysis.
- Perform addition, subtraction, multiplication, and division with monomial, binomial, and other
- polynomial expressions.
- Write and solve linear equations that represent a word problem or a real-life scenario.
- Write and solve linear inequalities that represent a word problem or a real-life scenario.
- Graph linear equations and inequalities on a coordinate plane.
- Find the slope and intercepts of a linear equation.
- Find a linear equation by looking at its graph.
- Apply the slope-intercept form and point-slope form of an equation of a line.
- Graph a system of linear equations and inequalities.
- Solve linear systems using substitution, linear combinations, and addition
- Find the domain and range of a function.
- Relate functions with equations, tables, and graphs.
- Write exponential functions and solve problems using exponential functions.
- Write normal and recursive functions and combine different functions.
- Write rules for arithmetic and geometric series, and find sums of series.
- Transform and translate graphs of functions, and find computed functions for transformed
- Interpret the slope and intercept of a linear fit of a data set.
- Represent quantitative data using a scatter plot and fit a function to the data.
- Interpret the correlation coefficient of a data set.
- Distinguish between correlation and causation.
- Use different types of data plots to represent data.
- Understand and compare shape, center, and spread of data sets.
- Understand congruence in terms of rigid motions.
- Prove geometric theorems.
- Make geometric constructions.
- Apply geometric concepts in modeling situations.
This is a standard level High School course, or an honors level Middle School course.