High School Integrated Mathematics II

License Model
FlexPoint or School/District Hosted

Number of Credits
1.0

Estimated Completion Time
3236 weeks
Suggested Prerequisites
Integrated Mathematics IDescription
Algebra and geometry are everywhere! Engineers use them to build highways and bridges. Artists use them to create perspective in their paintings, and mapmakers help travelers find things using the points located on grids. Throughout this course, you will travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem solving.Module One: Review of Algebra
Review algebraic concepts
Identify functions, solve inverses, and compose functions
Graph linear equations and inequalities
Write the equation of a line given different information
Identify and compare key features of functions
Module Two: Rational, Complex, and Polynomials
Rewrite expressions with rational exponents
Apply properties of rational exponents to simplify expressions
Solve radical equations
Simplify imaginary and complex numbers
Use algebraic properties to simplify complex numbers
Define and determine the characteristics of polynomials
Add, subtract, multiply, and divide polynomial expressions
Module Three: Factoring and Quadratics
Determine greatest common factors and special products
Factor a polynomial by grouping
Factor using the sum and difference of cubes
Graph quadratic functions
Solve quadratic equations by completing the square
Solving quadratic equations using different methods
Solve quadratic equations with complex solutions
Derive equations for parabolas
Module Four: Systems of Equations and Inequalities
Solve systems of equations algebraically
Solve systems of nonlinear equations using different methods
Solve systems of nonlinear equations graphically
Solve systems of nonlinear equations graphically
Create exponential functions and solve equations
Create logarithmic functions and solve equations
Module Five: Statistics
Determine outcomes of events in sample spaces
Determine the independence of two events
Construct and interpret twoway frequency tables
Calculate and interpret conditional probability
Prove equations using the Pythagorean Identity
Simplify expressions using the Pythagorean Identity
Module Six: Proofs of Theorems
Write proofs regarding lines and angles
Write proofs about triangles
Write proofs about quadrilaterals
Module Seven: Dilations and Similarity
Perform and represent dilations
Prove that two polygons are similar
Prove that two triangles are similar
Module Eight: Triangle Similarity Proofs
Using triangles to prove theorems
Using distance and slope to classify polygons
Calculate perimeter and area of polygons using coordinates
Use coordinates to divide segments into ratios
Derive formulas for circumference and area of circles
Derive volume formulas for cylinders, pyramids, and cones
Use Cavalieri's Principle to compare volumes
Module Nine: Right Triangles and Trigonometry
Use similar triangles to define trigonometric ratios
Find trigonometric ratios for right triangles
Solve realworld problems using trigonometric ratios
Module Ten: Circles
Identify and describe properties of circles
Construct inscribed circles of a triangle
Construct circumscribed circles of a triangle
Create equations of circles
Identify key features of circles