Algebra+2

Algebra 2 Tasks and Materials

**Linear Models and Systems**


 * Systems of Equations **
 * Inconsistent System: Students attempt to solve and inconsistent system of linear equations and determine that the lines must be parallel.

**Transformations**

**Exponentials, Power, and Logarithmic Functions**


 * Exponential Function Investigation : How many times would you have to fold a piece of paper in half so the thickness of the paper is the distance from earth to the moon?


 * Properties of Exponents Investigation : Expand exponential expressions to generalize rules


 * Properties of Logarithms Investigation :

**Quadratics**
 * Comparing Different Forms of Quadratic Equations : Students will graph the same equation of a quadratic in factored and vertex forms. They will see what type of information each form of the equation gives them. Then, they will prove that both equations are equivalent.
 * Solving Quadratic Equations: Before completing this worksheet, students should have learned the Quad Formula, completing the square, and factoring. This worksheet helps students decide when each method is most efficient.
 * Vertex Form Review Guide

**Higher Degree Polynomials**
 * End Behavior Investigation ﻿ : Students investigate how to determine the end behavior of a graph by grouping graphs based on similarities in end behavior and trying to find similiarities and differences in their equations.
 * End Behavior Investigation : This is another version of the above task
 * Factoring the Sum and Difference of Cubes
 * Factoring Trinomials: A neat method for factoring trinomials whose leading coefficient is not 1.

**Rat****ional Functions**


 * Intro to Rational Functions : Students use a bowling demonstration to develop an understanding of rational functions: equations, graphs, etc


 * Graphs of Rational Functions : Holes vs. Vertical Asymptotes. CALCULATOR TASK. Students use their calculators to determine the differences in equations, tables, and graphs of holes and asymptotes


 * Graphic Organizer for features of rational functions

**Series**
 * Arithmetic Series : A visual representation of the sum of an arithmetic series


 * Geometric Series : A visual representation for the sum of an infinite convergent geometric series


 * Sums of Series Graphic Organizer : Provides space for formulas, examples, etc.

**Probability**


 * Expected Value : Use the online game of Deal or No Deal to provide a context for expected value


 * Combinations : Lottery Game: Have students write down as many different "combinations" of 7 numbers as they can in 5 minutes. Then play the lottery and see if anybody wins.
 * Combinations : Lottery Game: Similar to the task above
 * Pascal's Triangle : An interesting look at the various patterns in Pascal's triangle. The terms in Pascal's triangle can later be connected to combinations.