High School Integrated Mathematics I
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License Model
FlexPoint or School/District Hosted
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Number of Credits
1.0
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Estimated Completion Time
32-36 weeks
Suggested Prerequisites
GeometryDescription
Explore the exciting world of mathematics through real-life applications and problem-solving 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 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