Integrated Mathematics I - Common Core (2440) CA
Integrated Math I – Common Core is a full year, high school credit course that provides a deeper understanding of concepts from Algebra I along with application of geometric theorems and ideas. Within the Integrated Math I – Common Core course, students will create and solve simple expressions and equations, compare and analyze functions, solve linear equations with more than one variable, analyze and solve problems of triangles, and utilizing the coordinate system to explain geometric relationships and various line models.
By the end of the course, students will be expected to do the following:
- Solve and graph single variable, absolute value, and linear equations and inequalities.
- Solve linear, quadratic and exponential systems of equations using graphing, substitution or elimination.
- Evaluate and solve quadratic equations and inequalities using graphing, factoring, quadratic formula, and completing the square.
- Understand and know how to apply the distance, midpoint, and slope formulas as well as the Pythagorean Theorem.
- Form an equation of a line using the slope-intercept, point-slope and standard forms of a line.
- Apply basic fundamental rules of exponents.
- Be able to construct a formula or equation necessary to solve algebraic word problems involving area, perimeter, and linear systems of equations, basic probability and statistical reasoning, distance, and compounding interest.
- Evaluate rational expressions and solve equations with rational expressions.
- Simplify and perform operations with radical expressions such as addition and subtraction, multiplication and division.
- Perform operations with polynomials such as addition and subtraction, multiplication, long division and factoring.
- Interpret and apply the relationship between the independent and dependent variable in a linear, exponential, and quadratic function through algebraic modeling and applications.
- Interpret and analyze measures of central tendency, sample data and outcome, probability and frequency tables.
- Know how to solve for angles given parallels, perpendiculars, and transversals.
- Demonstrate how to solve for sides and angles of triangles, quadrilaterals, and polygons.
- Graph lines and determine slopes, midpoints, and distances.
- Interpret and construct the graphs and equations of quadratic functions.
- Make geometric constructions on paper.
- Represent results of motion geometry (translation, rotation, reflection, dilation).
Some assignments in this course require the use of resources that must be supplied by the user. These outside resources are listed below:
- Scratch Paper/Notebook
- Scientific Calculator