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High School Integrated Mathematics III

Suggested Prerequisites

Integrated Mathematics II

Description

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 real-world applications involving density

-Identify shapes of cross-sections of 3-D objects

-Identify 3-D objects generated by 2-D objects

-Find the surface area of 3-D 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

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