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Algebra 2
Std 7: Solve equations, inequalities, and applied problems involving absolute values, radicals, and quadratics over the complex numbers, as well as [simple trigonometric]*, exponential, and logarithmic equations.

Example: solving x2- 4 >0, 3x =81, 2sin2x + sin x =0*, x2- 8x >-12*,

logx 2 = 5*

  • Solving equations using laws of exponents, including rational and irrational exponents
  • Expressing the solution of an equation, inequality, or applied problem as a graph on a number line or by using set or interval notation

*for Algebra 2 with Trigonometry
 


Lesson Plans

Solving Radical Equations
This is an online lesson that offers a good coverage of solving radical equations using analytical methods and graphing.

The Absolute Truth
Students will communicate their understanding of the methods available to find and check solutions to absolute value inequalities.

Exploring Exponential Growth and Decay Functions
In this unit, students will use and apply exponential functions of growth and decay in real-world situations. Students will collect and analyze data with the use of the TI-83 graphing calculator, graphs, tables, and other sources.

Rhinos and M&M’s® (Exponential Models)
The objectives of this lesson are for students to explore the patterns of exponential
models in tables, graphs, and symbolic forms and to apply what they have learned to
make predictions in a real situation.

World Population Study
This lesson plan relates exponential growth to population growth.

Can Cruddy Cool As Fast As Clean?
Students will investigate variations in cooling times for ordinary tap water and salt water. Data will be collected using the CBL unit and the TI-82 calculator to create and interpret data plots. Students will become familiar with Newton’s Law of Cooling and be able to verbalize and write conclusions made from the collected data.

Chicago Public Schools
Introduction to solving logarithmic equations is given at day 100. The skill occurs several times throughout the chapter.

Compound Your Way to a Million Bucks!
Many people save and/or invest for their financial security. Students are often not aware of the strategy behind investing. This exercise will examine the question: “Is there a good, better, and best way to invest in an IRA?” The investment patterns of four people will be evaluated to determine if there is a ‘best’ way.

Chicago Public Schools
This is a collection of structured daily lesson plans on trigonometry complete with activities and assessments (Day 150-151).*

 

 

Resources:

Addison-Wesley Worksheets
Extra practice on radical equations

Biography
Biography of John Napier, inventor of Logarithms.

Power of Quakes
Information about the Richter Scale, using logarithm equations. Power of Earthquakes are given.

Logarithms in the pH Scale
An interactive list of household products for students to arrange by order of pH magnitude

SOS Math
This site is an online tutorial that explains many of the concepts in Algebra 2. It includes exercises.

Function Models of Light Decay
This activity explores the development of a mathematical model for the decay of light passing through water. The goal of this investigation is a rich exploration of exponential models in context

Edhelper.com Worksheets
This tool generates worksheet of problems on selected logarithmic or exponential topics.

Evaluating Logarithms with Change of Base
This page explains the change of base formula with applications.

Using and Deriving Algebraic Properties of Logarithm
This is an online tutorial for logarithms including applications and interactive problems with solutions.

SOS Math
Collection of trig equations, all solved with work shown.*

*for Algebra 2 with Trigonometry


 

 

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