High School Integrated Mathematics I

License Model
FlexPoint or School/District Hosted

Number of Credits
1.0

Estimated Completion Time
3236 weeks
Suggested Prerequisites
GeometryDescription
Explore the exciting world of mathematics through reallife applications and problemsolving strategies. You'll dive into a blend of algebra, geometry, and statistics, discovering how these concepts connect to everyday situations. With a focus on critical thinking and practical skills, this course will empower you to tackle mathematical challenges with confidence and creativity. Get ready to build a strong foundation in math and see the subject in a whole new light!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 realworld equations
Module Two: Equations and Inequalities
Create and solve linear equations in one variable
Create and interpret twovariable 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 twovariable 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 twoway 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 realworld 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