Enroll in Integrated Math 2 with Dolphin STEM Academy

Course Overview

Integrated Math is a comprehensive collection of mathematical concepts designed to give you a
deeper understanding of the world around you. It includes ideas from algebra, geometry,
probability and statistics, and trigonometry, and teaches them as interrelated disciplines. It’s
likely that you’ve been studying some form of integrated math since elementary school.

In Integrated Math 2B, you will study the connections between algebra and geometry. You will
learn about functions and use them to solve real-world math problems. You will study data
collection methods, and you will use different types of data plots to represent and analyze
statistical data. You will learn about geometric theorems and rules and write proofs to support
them. You will also explore congruency and similarity of triangles.

Course Goals

This course will help you meet these goals:
Solve systems of linear-quadratic equations algebraically and graphically.
Investigate attributes of the graph of a parabola.
Graph piecewise and absolute value functions.
Relate domain to a function based on the given context.
Find and analyze the inverse of a function.
Write proofs for various theorems and apply them in geometric relationships.
Prove similarity and congruence in two geometric figures.
Use trigonometric ratios and identities to solve problems involving right triangles.
Write and apply volume formulas.
Derive the equations of circles and parabolas.
Divide a line segment in a given ratio.
Describe relationships among inscribed angles, radii, and chords within a circle.
Make constructions related to circles.
Relate length of the arc intercepted by an angle to the radius of the circle.
Derive the formula for the area of a sector.
Apply the Addition and Multiplication Rules for probability.
Distinguish between dependent events and independent events.
Use counting techniques to compute probabilities for various permutations and
combinations of events and to make fair decisions.
Use a two-way frequency table and find conditional probability of events in a sample space.
Interpret conditional probability of events.