High School Integrated Mathematics I

Module One: Algebra Foundations

-Simplify expressions using the order of operations

-Interpret algebraic expressions in context

-Choose and interpret units and scales

-Define quantities and choose accuracy levels

-Translate verbal phrases into algebraic expressions

-Apply algebraic properties to real-world equations

Module Two: Equations and Inequalities 

-Create and solve linear equations in one variable

-Create and interpret two-variable equations with constraints

-Represent and interpret constraints using absolute value equations

-Create, solve, and interpret linear inequalities

-Create, solve, and interpret compound inequalities

-Solve and rearrange linear equations and inequalities

Module Three: Linear Functions

-Identify functions, the domain, and range

-Use and interpret function notation in context

-Determine slope, intercepts, and graph linear functions

-Use math tools to model and graph functions

-Write equations and convert between forms

-Write equations and graph horizontal and vertical lines

Module Four: Exponential Functions 

-Understand and rewrite expressions with rational exponents

-Simplify operations with radicals and compare results

-Model relationships with exponential functions

-Create graphs from expressions and compare features

-Identify sequences, compare formulas, and connect to functions

-Derive parameters and compare function behavior

Module Five: Systems of Equations 

-Solving systems of equations by graphing

-Solving systems of equations algebraically

-Solving systems of equations by approximating

-Write, graph, and solve two-variable linear inequalities

-Graph and solve systems of linear inequalities

Module Six: Statistics 

-Analyze and interpret data using data displays

-Determine best measure of center and spread

-Effect of outliers on distribution of data

-Compare data in two-way frequency tables

-Develop a scatter plot and a line of best fit

-Determine correlation versus causation

Module Seven: Polynomials 

-Define and determine the characteristics of polynomials

-Add and subtract polynomials using exponent properties

-Use properties of exponents to multiply monomials

-Use properties of exponents to divide monomials

-Use properties of exponents to multiply polynomials

-Recognize special product patterns to multiply polynomials

-Use properties of exponents to divide polynomials

-Combine and compose functions to model situations

Module Eight: Factoring 

-Find the greatest common factor

-Factor polynomials by grouping

-Factor a trinomial

-Use patterns to factor perfect square trinomials

-Factor polynomials using differences of perfect squares

-Key features of polynomial functions

Module Nine: Quadratic Functions

-Identify and describe transformations of quadratic functions

-Solve quadratic equations by completing the square

-Solve quadratic equations using the quadratic formula

-Create and solve real-world quadratic equations

-Determine solutions using different types of functions

Module Ten: Foundational Geometry

-Define terms, postulates, and theorems 

-Classify polygons using coordinate geometry

-Solve problems using slope

-Dividing segments into ratios

-Find the perimeter and area of polygons using coordinates

-Derive formulas for volume, circumference, and area

-Use volume to solve problems