Web Links for Algebra 2, 3rd ed.

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About Links

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Web Resources

General

• Wolfram Demonstration CDF Player—Download the player for Wolfram Demonstration links.
• Common Core State Standards—Download the Common Core State Standards for Mathematics.
• Math in the Undergraduate Physical Sciences—An article explaining the math topics that an undergraduate physical science student should expect to encounter.
• Texas Instruments Graphing Calculators—Compare TI calculator features.
• TI Connect Software—Calculator, computer, and Internet connectivity
• Computer-to-Calculator Connections—Programs that assist in creating documents, solving complex problems, and constructing geometric objects
• Math Forum High School Center—Resources for teachers and students of mathematics
• The Math Forum—Math problems of the week
• Project Mathematics!—Low cost, professional videos on various aspects of mathematics
• Mathematical Quotations Server—Collection of quotations about mathematics

Algebra Helps

• Mathforum.org—A mathematics library page with links to mathematical topics, issues, teaching resources, tools, lesson plans, assessments, and more
• The Teacher’s Corner—Bulletin boards, printable worksheets, collaboration projects, and more
• National Library of Virtual Manipulatives—A multitude of manipulatives, applets, and ideas for class lectures or individual student enrichment activities
• Algebra.help—Lessons, calculators, and worksheets
• Ask Dr. Math—Have a math question? Ask it here.
• Math Is not Linear—Prezi presentation calling for a connected teaching of mathematics
• Using Manipulatives—An article promoting the manipulative approach
• Algeblocks—A manipulative approach to polynomial algebra; Here you can see what actually happens when you factor a binomial.

Section 1.2

• Interactivate: Order of Operations Four—A game involving the order of operations with selectable levels of difficulty

Section 1.3

• Exponent Rules—Use a TI graphing calculator program to discover the rules of exponents.

Section 1.4

• Illuminations: Algebra Tiles-—Algebra tiles for modeling the solution to an equation
• Illuminations: Everything Balances Out in the End—Use a pan balance to teach order of operations, numerical and variable expressions, and solving equations.
• Interactivate: Equation Solver—An applet for identifying the property for each step in solving an equation

Section 1.8

• Solutions to Absolute Value Inequalities—A Wolfram Demonstration that provides a visual understanding of absolute value inequalities on a number line

Section 2.2

• Shark Attack—A TI graphing calculator activity investigating how modifying the slope or intercept of a linear equation changes the graph

Section 2.4

• Does a Correlation Exist?—Examine the correlation coefficients of data sets.
• Dinner Party—Model the cost of a dinner party at various restaurants using linear regression.

Section 2.7

• Distances and Midpoints in the Coordinate Plane—TI graphing activities that lead to the midpoint and distance formulas

Section 2 and Dominion Modeling

• Global Warming in Perspective—An article examining global warming, a proper Christian response to global warming claims, and a believer's responsibility under the Dominion Mandate

Section 3.2

• Boats in Motion—Solve systems of linear equations algebraically and graphically.

Chapter 3.3

• Illuminations: Supply and Demand—Solve systems of equations to make business decisions.

Chapter 3.4

• Graphing Systems of Inequalities—A Wolfram Demonstration in which the user inputs a system of inequalities, chooses test points, shades, and checks the solution
• The Impossible Task—A TI graphing calculator manufacturing application activity in graphing and solving inequalities

Section 3.5

• Illuminations: Dirt Bike Dilemma—Solve linear programming problems with real life applications.

Section 3.6

• Linear Systems: The Busing Problem—Use algebraic methods to solve real-life application linear systems with three or more variables.

Section 4.3

• Matrix Multiplication—A Wolfram Demonstration that illustrates matrix multiplication
• Crop Rotation—An activity involving a crop rotation plan using matrix multiplication

Section 4.4

• Triangle in the Matrix—Determine the area of a triangle using the determinant of a matrix containing ordered pairs representing the triangle's vertices.

Section 4.5

• Meadows or Malls?—Use matrices and solve a system of equations to determine land use.

Section 5.2

• Illuminations: Polynomial Puzzler—Solve puzzles to reinforce understanding of multiplying and factoring polynomials.

Section 5.3

• 101 Uses of a Quadratic Equation—A two-part article describing the historical development and practical applications of quadratic equations
• How Could Adam Have Named All of the Animals in a Single Day?—An article explaining how Adam could have named all the animals

Section 5.6

• Solving Quadratic Equations—A Wolfram Demonstration using the quadratic formula to find the real and complex solutions for quadratic equations

Section 5.7

• Quadratic Formula—A TI graphing calculator activity using the quadratic formula to solve quadratic functions; also investigates how the discriminant can be used to determine the nature and number of solutions

Section 6.1

• Transforming Parent Functions—A Wolfram Demonstration that allows for manipulation of eight different parent functions

Section 6.4

• Illuminations: Egg Launch Contest—Model quadratic function using multiple representations
• Toothpicks and Transformations—Use toothpick constructions to explore quadratic functions and mathematical models.
• Motorcycle Jump—Use a TI graphing calculator to explore the connection between quadratic functions and the angle and distance of a motorcycle ramp jump.

Section 6.7

• End Behavior of Polynomial Functions—An interactive Wolfram applet that explores the end behavior of polynomials up to the 5th degree

Section 6.8

• Building Curves—Graphically explore the addition, subtraction, multiplication, and division of polynomials and fit a polynomial function to given data.
• One of the Many Ways—A calculator activity for graph polynomials and making conjectures about the number of possible zeros a polynomial can have

Section 7.3

• Illuminations: On Top of the World—Develop formulas for distance to the horizon using both algebraic and geometric approaches.

Section 7.8

• Radical Transformations—Explore transformations of the radical function y = a (√x - b) + c.

Section 8.1

• Illuminations: Successive Discounts—Examine how retail store purchases illustrate composition of functions.

Section 8.3

• Illuminations: Compound Interest Simulator—An applet allowing parameters changes for investigating the balances of savings accounts, credit cards, and stock market investments

Section 8.4

• Illuminations: Kidney Filtering—Model how human kidneys filter the blood stream using exponential decay.
• Rhinos and M&M's (Exponential Models)—A lesson using exponential growth and decay to explore half-life (of M&M's) and the population of African rhinos
• Radiometric Dating—An article examining the claims of radiometric dating

Section 8.6

• Illuminations: Logarithms Demystified—Create slide rules to investigate the properties of logarithms.
• Properties of Logarithms—Use a TI graphing calculator to discover the properties of logarithms.

Section 8.7

• Change of Base—An activity using a TI graphing calculator to discover the change of base formula

Section 8.8

• Chill Out: How Hot Objects Cool—A TI graphing calculator experiment investigating Newton's Law of Cooling and using exponential functions to model the cooling data

Section 9.7

• Illuminations: Crows and Whelks—Perform an experiment, analyze data, and use rational functions to investigate the mollusk-dropping behavior of crows.
• Building Boxes—Use polynomial and rational functions to determine the specifications of box manufacturing.
• Asymptotes & Zeros—A TI graphing utility exploring the connection between the asymptotes and zeros of a rational function and the zeros of a polynomial function

Section 9.8

• Illuminations: Inverse Variation—Determine the equations for modeling inverse variation relationships.
• Stressed to the Breaking Point—Explore direct and inverse variation relationships affecting the breaking point of dried spaghetti.

Section 10.2

• Solving Trigonometric Equations—A TI graphing calculator activity for solving for angle measure by using inverse trig ratios and by finding the intersection of two graphs

Section 10.6 (and 2.4, 6.4, 8.4, 8.5)

• Illuminations: Determining Functions Using Regression—Determine the function of best fit for a set of data.

Section 10.7

• Illuminations: Trigonometric Function Matching—Adjust the amplitude, period, phase shift, and vertical translation to match a given trigonometric function.

Section 11.2

• Illuminations: Law of Sines and Law of Cosines—Develop the Law of Sines and Law of Cosines using right triangle trigonometry.

Section 11.3

• Two Visual Proofs of a Basic Trig Identity—A Wolfram Demonstration that shows two geometric proofs for the trigonometric identity cos x² + sin x² = 1

Section 11.4

• Taking God Out of the Equation—An article considering a biblical worldview of truth, logic, and mathematical proof

Section 12.1

• Illuminations: Trout Pond—Investigate trout pond population using iterations and sequences.

Section 12.2

• Arithmetic Sequences—A TI graphing calculator activity which connects arithmetic sequences to scatterplots and linear equations

Section 12.3

• Illuminations: To Fret or Not To Fret—Explore the geometric sequences used to position frets on a stringed instrument. Also, relate geometric sequences to exponential functions.
• Double Tree—Use the TI graphing calculator to model the growth of a tree using a geometric sequence.
• Squares Inside Squares—A lesson on developing a recursive formula for finding the area of squares inscribed in squares

Section 13.2

• Probability of Permutations—A Wolfram Demonstration that uses a color wheel to illustrate the probability of permutations
• Probability of Combinations—A Wolfram Demonstration that uses a color wheel to illustrate the probability of combinations

Section 13.4

• Illuminations: Explorations with Chance—Predict the probability and fairness of games, test predictions, and calculate probabilities.
• Illuminations: Stick or Switch?—A game-show dilemma that utilizes conditional probabilities

Section 13.6

• Binomial Probabilities—Use a TI graphing calculator to simulate rolling a die.
• Modeling Probabilities—Use a TI graphing calculator to simulate trials of a binomial experiment and compare experimental probabilities with theoretical probabilities. Investigate how the number of trials changes the outcome.

Section 13.8

• Average Orange—Use a TI graphing calculator to explore the area under a normal curve.

Section 14.1

• Illuminations: Cutting Conics—Investigate conic sections as intersections of a plane and a conical surface.
• Cross Section Flyer—An applet allowing for easy manipulation of a plane and a double cone

Section 14.3

• Conic Sections: Equations and Graphs—A Wolfram Demonstration for the creation and manipulation of graphs of conic sections
• Parabola Construction—Use a TI graphing calculator to construct parabolas.

Section 14.4

• Orbit of Jupiter—Use a TI graphing calculator to explore Cartesian and parametric models for Jupiter's orbit.
• Moving with the Planets—An article on the historical theories of planetary motion