High School Integrated Mathematics III

License Model
FlexPoint or School/District Hosted

Number of Credits
1.0

Estimated Completion Time
3236 weeks
Suggested Prerequisites
Integrated Mathematics IIDescription
This course allows you to learn while having fun. Interactive examples help guide your journey through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. You will investigate the effects of an equation on its graph through the use of technology and will have opportunities to work with your peers on specific lessons.Module One: Basics of Geometry
Define points, lines, and planes
Perform geometric constructions using a compass
Perform geometric constructions using technology
Introduction to different types of proofs
Module Two: Transformations and Congruence
Perform and represent translations
Perform and represent reflections
Perform and represent rotations
Prove two figures are congruent
Module Three: Coordinate Geometry
Classify polygons using coordinate geometry
Solve problems using slope
Use coordinates to find perimeter and area of polygons
Use coordinates to divide segments into ratios
Module Four: Volume and Figures
Derive formulas for circumference and area of circles
Derive volume formulas for cylinders, pyramids, and cones
Use Cavalieri's Principle to compare volumes
Solve realworld applications involving density
Identify shapes of crosssections of 3D objects
Identify 3D objects generated by 2D objects
Find the surface area of 3D figures
Module Five: Trigonometry
Identify and describe properties of circles
Apply trigonometric functions using the unit circle
Graph trigonometric functions with periodic
Analyze transformations
Fit functions to data to solve problems
Prove equations using the Pythagorean Identity
Simplify expressions using the Pythagorean Identity
Module Six: Dividing and Solving Polynomials
Dividing polynomials using long division
Dividing polynomials using synthetic division
Determining key features of polynomials using Theorems
Determine zeros using Rational Root Theorem and Descartes' Rule of Signs
Use zeros and end behavior to graph polynomial functions
Solve polynomial equations
Graph polynomial functions to determine key features and solutions
Prove polynomial identities
Module Seven: Rational Expressions
Simplify rational expressions
Multiply and divide rational expressions
Add and subtract rational expressions
Simplify complex fractions
Identify discontinuities of rational expressions
Identify asymptotes of rational functions
Solve rational equations and justify solutions
Apply rational equations to realworld scenarios
Module Eight: Exponential and Logarithmic Functions
Create exponential equations to model realworld situations
Create logarithmic functions and solve equations
Use properties of logarithms to solve equations
Solve exponential equations with unequal bases
Graph exponential functions
Graph logarithmic functions
Determine effects of combining different types of functions
Module Nine: Sequences and Series
Identify and use arithmetic sequences to solve problems
Identify and use arithmetic series to solve problems
Identify and use geometric sequences to solve problems
Identify and use geometric series to solve problems
Use sigma notation to evaluate a series
Identify and find infinite, convergent, and divergent series
Graph sequences and series
Module Ten: Statistics
Use measures of center and spread to fit normal distribution
Estimate population percentages
Population inferences using statistics, models, surveys, and experiments
Use surveys to estimate population parameters
Determine margin of error and evaluate data reports
Use experiments to compare treatments, assess significance, evaluate data reports