It gets to go first, and have it’s own category: http://msmathwiki.pbworks.com/

Also for SBG info for beginners, go to the SBG wiki: http://sbgbeginners.wikispaces.com/

Take It To The Limit’s virtual filing cabinet: http://tothemathlimit.wordpress.com/stuff-to-keep/

KFouss’s Precalculus’s Virtual Filing Cabinet: http://myweb20journey.blogspot.com/p/precalculus-links-and-ideas.html

[Note for Sam: Last updated 8/10/2011]

***

Algebra II

Number Lines, Intervals, and Sets

@ffeldon’s use of wolfram alpha to investigate real numbers (solns here)

Inequalities

Ms. Cookie’s Real Life Inequality — Phone Plan & Text Messaging

MathsClass’s exercises on 1D inequalities using Geogebra

Polynomials/Polynomial Addition/Subtraction/Multiplication

Kristen Fouss’s awesome Geogebra/Polynomial project

Rational Expressions / Rational Equations

Kate Nowak’s Speed Dating Game with Rational Expressions

Kate Nowak’s Graphical Introduction to Rational Expressions/Equations

Megan Golding’s Solving Rational Equations Project and How Long to Fill The Sink WCYDWT video

Rudy Perez sent me these awesome circuit questions (1, 2) which convert to rational equation questions

@ffeldon’s use of wolfram alpha to investigate rational equations (solns here)

George Woodbury’s little story to help students remember how to add rational expressions

Adam Glesser’s method of adding fractions without like denominators (useful for rational expressions too!)

Mimi’s pointer to NCTM’s worksheet on Rational Equations

Radicals

Kate Nowak’s Radical Operations Row Game (read about them here)

Radical Equations / Absolute Value Equations

@ffeldon’s use of wolfram alpha to study radical equations (solns here)

@k8nowak’s use of “error” to draw the absolute value curve, and talk about how it is a distance – gives it meaning

Sam Shah’s worksheet motivating Absolute Value Inequalities

Factoring / Polynomial Multiplication

Mr. D’s Factoring Quadratics Bingo Game

Mr. D’s Polynomial Multiplication Matching Game

Dan Greene’s Factoring Trinomial’s Game

Math Tales from the Spring’s method of multiplying polynomials: The Claw (is the law)

Maria Andersen’s Factor Pair Block game

Lisa H, at the end of this post, poses a rich question for kids involving factoring (so scroll down already!) — “Find coefficients for x so that you can factor the trinomial x^2 – ?x + 12″

Exponent Rules

Social Mathematics’s Mnemonic for an Exponent Rule

Dan Greene’s Error Analysis Worksheet for Power Equations

David Cox’s introduction to fractional exponents — start ‘em off guessing and thinking and reasoning based on the rules they know

Kate Nowak’s introduction to the cube root function (careful, though, about how to talk about negative numbers under the cube root function)

*A website which helps kids practice their exponent rules.

Maria Andersen’s Exponent Block “tictactoe-esque” game

Function Notation / Function Basics / Composition of Functions / Piecewise Functions / Domain Range

Kate Nowak’s Combining Functions Row Game (read about them here)

Ms. Cookie’s Way to Set Up Piecewise Functions

Sean Sweeny’s Cute Way to Drive Home Function Notation

Dan Greene’s Worksheets on Function Notation, Operations, and Multiple Representations

Sam Shah’s Domain and Range Meters

Kristen Fouss’ Piecewise Function Worksheet that goes with using CBLs

Let’s Paly Math’s Function Machine Game

MizT’s Function Dice! (To practice + – * / and composition of functions.)

Mimi’s Piecewise Function worksheets (basic) and Income Tax as Piecewise Function Unit

Sam Shah’s guided worksheet introducing Piecewise Functions

I Hope This Old Train Breaks Down’s word problems for composition of functions

I Hope This Old Train Breaks Down’s introduction to basic operations (+ – * /) on functions and what it does to their domains (focus on multiple representations)

I Hope This Old Train Breaks Down’s use of a Pringle’s Cannon to model quadratics

Bowman’s way to help kids understand the idea of piecewise functions (make the idea “sticky”)

Amy’s use of color coding for piecewise functions

Lines / Systems

Kate Nowak’s Lines activity

Dan Meyer’s WCYDWT Dan and Chris exploration

Dan Meyer’s WCYDWT Apple iTunes question

Dan Greene’s Method for Students to Remember how to Graph Lines

Jackie B’s Error Analysis in Systems of Equations worksheet

Mr. K’s Slope-Intercept Joke Worksheet

Ms. Cookie’s Trick to Remembering No Slope, Zero Slope, Positive Slope

Sean Sweeny’s Slope Song and Trick to Remembering Undefined Slope

David Cox’s Farming Project (very intensive, would have to seriously commit to doing it) and notes on vertical motion problems (including some applets)

@ffeldon’s use of Wolfram Alpha to investigate linear inequalities and basic lines (solns here)

Dan Greene’s awesome AWESOME worksheets for systems of linear inequalities!

Jackie B.’s systems of equations worksheet which highlights “multiple representations”

David Cox’s geogebra applet with racing cars! to get students thinking about lines as systems

David Cox’s quick check in to see if students “get” lines – by answering the questoin “is the point on the line?”

David Cox’s introduction to the standard form of a line

David Cox’s activity with toy cars to collect data and have students make predictions (data is linear-ish)

Dan Meyer’s Up the Down and Down the Up, and Up the Up and Down the Down,  Stairs — exploit linearity?

Mimi’s use of shapes to make the concepts undergirding substitution and elimination for systems of 3 variables clear

Matrices

Kate Nowak’s Systems and Matrices Row Game (read about them here)

Sam Shah’s Matrices & Social Networking Worksheet

Optimization Problems

Geogebra applet for the Box Folding Problem

Jackie B.’s contest for who can make the maximum volume for a box class

Complex Numbers

John and Betty’s story motivating imaginary numbers

Megan Golding’s “Complex Number Blackjack”

ThinkThankThunk has his students programming the Mandelbrot Set

Quadratics

Nick Yate’s Quadratic Equation Puzzle

Sam Shah’s Unit on Completing the Square

Sam Shah’s Unit on Linear and Quadratic Inequalities (1D and 2D)

Dan Meyer’s WCYDWT Basketball In The Hoop? exploration

Dan Meyer’s WCYDWT Projectile Motion exploration

Dan Meyer’s WCYDWT EXIF picture

David Cox’s Quadratics Unit and finishing it off with Vertical Motion

Sean Sweeny’s M&M Catapult Part I and Part II

@ffeldon’s use of wolfram alpha to investigate quadratics (solns here)

Ms. Cookie’s basic quadratic equations review worksheet

David Cox’s use of a golf applet to talk about quadratic (and linear) motion

Riley Lark’s use of pendulums to talk about quadratics

Mr. K’s check in worksheets to see if students understood the basics of the graphs of quadratics

KFouss’s Leprechaun Complete the Square “game”

Sean Sweeny’s use of Angry Birds and Geogebra to play with Quadratics

Regressions (Linear/Quadratic)

Kate Nowak’s Cry for Help on Regressions, and the recommendations

Sam Shah’s Pendulum Lab Part I and Part II

Ms. Cookie’s Linear Regression Poster Project (and her projects)

sciencegeekgirl.com’s reminder that correlation is not causation (for correlation coeffient)

I Speak Math’s use of student collected data and mystery guests to do linear regressions

Function Transformations

Sam Shah’s Function Transformation Unit

Sam Shah’s Cheapest Movers Step Function Question

Dan Greene’s Worksheets on Function Transformations

Megan Golding’s Family Functions Scrapbook

Exponential Functions

Kate Nowak’s Exponential Growth and Credit Cards worksheet

Sam Shah’s Exponential Functions Unit

Sam Shah’s Moore’s Law analysis

Sam Shah’s Supreme Court Case which involved Exponential Functions

@ffeldon’s use of wolfram alpha to investigate exponential functions (solns here)

Mr. Anderson’s analysis of Rent-to-Buy

Logarithmic Functions

Kate Nowak’s Logarithm War Cards

Kate Nowak’s use of “Power” to introduce Logs

Sam Shah’s post on Logarithms and the Richter Scale

JD2718′s awesome warm up logic puzzle to get students thinking about logs, before introducing them

@ffeldon’s use of wolfram alpha to investigate logarithms (solns here)

Rebecca Zook’s post on a trick to remember logarithm notation

Riley Lark’s activity involving music/sound to investigate exponentiation and logarithms

Natural Math’s use of family trees to gently introduce the concept and need for logarithms

Mr. Reid’s “loudest sound” analysis (using logarithms)

Julia Tsygan’s method for introducing logs and applications

Kate Nowak’s grounded and concrete introduction to logarithms and log laws

Square Root of Negative One’s logarithm and exponent dominoes game

GL(s,r)’s mnemonic for remembering the log laws

Square Root of Negative One’s “loops” for logs (remembering how to convert between logarithmic and exponential equations)

Brokelyn’s use of logarithms to figure out how loud a concert is going to be (someone make a lesson out of this and post it in your blog!)

Math Mama’s excellent rich task for students who have learned a bit about logs — Building Log Equations

k8nowak and cheesemonkeysf’s translation of Napier’s original text on logarithms

Direct and Inverse Variation

Matthen’s beautiful illustration of the inverse square law using spheres

Statistics

Pat B’s simplistic explanation of standard deviation as the mean distance

Sam Shah’s use of digital cameras to talk about histograms

Pat noticed that the Normal Distribution can visualized by use of a door!

Calculus

CalcDave’s most awesome Calculus Questionnaire, for all students starting calculus

History

Sam Shah’s Who Invented Calculus: A Webquest

SquareCircleZ’s transcription of Newton’s original text on integration

Limits

Sam Shah’s excursion on sin(1/x)

Mr. H’s Comic Guide to when Limits Exist

Think Thank Thunk’s intro to the need for limits (basically, starting fresh with derivatives to motivate limits)

Think Thank Thunk’s use of a radar speed gun to talk about limits and infinitessimals

Sam Shah’s use of limits (and systems of equations) to find all points on a funny looking curve (idea: maybe  have students make this drawing first with a few lines… then add more… then add more… then add more… until they see that they need two “infinitely close together” lines to get a point on the curve)

Irrational Cube’s writing prompt for a limiting geometry problem

Continuity

Sam Shah’s post on the Intermediate Value Theorem

Basic Derivatives and Meaning of Derivatives

Built on Number’s story of how the decay of Radium can be used to detect forgeries

Robert Talbert’s investigative packet using Wolfram Alpha to discover basic derivative rules

Think Thank Thunk’s use of Logger Pro to motivate the power rule

Jason Dyer’s Q-bert based lesson on the binomial theorem (needed for the derivation of the Power Rule)

Maria Andersen’s Power Rule Format and Multiple Derivatives card games (page here)

Sean Sweeny’s geogebra applet and investigation on what a derivative is (leading up to limit definition)

I Hope This Old Train Breaks Down’s introduction to average speed (need to have video to analyze)

Sam Shah and Bowman’s backward planned unit on the relationship between limits and rates of change

Bowman’s memory modeling project (deals more with modeling that derivatives, but it gets students think at least a little about rates of change of memory loss)

Product / Quotient Rule for Derivatives

Think Thank Thunk’s activity motivating the product rule (answering: when will you ever have the product of two functions?)

Think Thank Thunk’s note that showing the quotient rule as a consequence of the product rule (he teaches product rule, chain rule, THEN quotient rule

Chain Rule

Sam Shah’s “box method” way to teach the chain rule (scroll down)

Think Thank Thunk’s use of gears to teach the chain rule (I’ve never seen this before! Awesome.)

CalcDave’s Inception Chain Rule

Infinigon’s Chain Rule musings

Sean Sweeny’s song about the chain rule, product rule, and quotient rule to the tune of Cee Lo’s Forget U

Position/Velocity/Acceleration

Dan Meyer’s Graphing Stories

Implicit Differentiation

Think Thank Thunk’s use of conic sections (and rice krispie treat cones) to motivate implicit differentiation

Related Rates

Sam Shah’s “Dos Mocas” related rates problem

Think Thank Thunk’s post on motivating related rates using Torricelli’s Theorem

Sam Shah’s (stolen) Related Rates investigation using Logger Pro and a martini glass

Newton’s Method

Think Thank Thunk’s post on Newton’s Method (via Computer Programming)

Shape of a Graph

SquareCircleZ’s Absorption of Drugs in the Body post

SquareCircleZ’s H1N1 and the Logistic Curve post

Nikki Graziano’s beautiful  ”Found Function” photographs and the equations accompanying them

Bowman’s way of helping kids write sign analyses so they make sense and remember meaning

Optimization Problems

Think Thank Thunk’s motivation for Optimization Problems (Lord of the Rings)

A nice but involved optimization problem from I Hope This Old Train Breaks Down (Sam Shah also blogged about the problem here)

Think Thank Thunk’s excoriation of most standard Optimization problems, but he also promotes the use of graphing technologies (because why the heck not?)

Anti-Derivatives

Sam Shah’s Worksheets on Introducing Anti-Derivatives

Maria Andersen’s game called “Antiderivative Block!”

Riemann Sums

Sam Shah’s way of organizing information so that the Riemann Sum is easily calculated

Sam Shah’s analyzing error from Riemann Sum worksheet

Think Thank Thunk’s regular but good way to relate Riemann Sums to integrals

Basic Integrals

Think Thank Thunk’s awesome Race Car game to get students to relate integrals and velocity

Maria Andersen’s way of Teaching Basic Integration using Wolfram Alpha

SquareCircleZ’s use of integration when investigating wealth distribution (and the Gini coefficient)

SquareCircleZ’s Tanzalin Method for easier Integration by Parts (in Stand and Deliver?)

Think Thank Thunk’s introduction of the integral of 1/x

Think Thank Thunk’s introduction to the integral of e^x

Mr. H’s graph from Starcraft 2 on the collection rates of resources for Player 1 and Player 2 (update here)

Think Thank Thunk’s trigonometric substitution

Think Thank Thunk’s parabolic arch question (area under a parabola)

Bowman’s awesome project to help kids understand limits of integration and calculate areas between curves

Dave’s very real way to introduce integration with a speeding question (and the post prompting it)

Fundamental Theorem of Calculus

Rectilinear Motion (with integration)

Dave’s simple but good project on getting students to grapple with rectlinear motion

Volumes (of Revolution/Cross Section)

Ms. Cookie’s Volume of Revolution Project

Ms. Ashton’s Volumes by Cross Section using play-doh and dental floss

Ms. Ashton’s delicious Diet Coke way of setting the stage for Volumes of Revolution

Amy G’s use of cakes to visualize (yummy!) and measure volumes of revolution

Mr. H’s video of paper stacking, but more importantly, he throws up an idea about giving students two paper squares from a pyramid built from squares (say #30 and #180 out of 200 sheets) and have them calculate the volume of the pyramid. Love the simple idea – and wouldn’t take too much to convert into an activity.

Bowman’s method of drawing pictures of volumes of revolutions so kids understand and remember what’s going on

Surface Areas of Revolution

Differential Equations

Think Thank Thunk’s introduction of differential equations via resistance

Taylor and other Series

Avery’s awesome yet oh so simple way of getting students to understand Maclauren series

Projects

Dave’s Open Ended Project in Calculus

Infinigon’s Calculus Projects for the Festival del Sol

OTHER COURSES/TOPICS

Multivariable Calculus

Dave Richardson using skewers and rubber bands to make a hyperboloid model

Adam Glesser’s cute way to remember curl and div

Built on Fact’s short exposition on the Mercator Map and Jacobians

Sam Shah’s Multivariable Calculus Projects for 2010/11

Trigonometry

Translating the graphs of Sine and Cosine using a Geogebra applet

Kristen Fouss’ applications of trigonometry problems

Riley Lark’s way to introduce unit circle trigonometry without all the abstraction (and Kate Nowak’s accompanying Geometer’s Sketchpad and Excel files)

SquareCircleZ’s use of the “equations of time” to motivate the addition of two trig functions

zshiner’s word problems for Law of Sines and Law of Cosines

Square Root of Negative One’s use of clinometers and trigonometry to measure the height of the ceiling

Ms. Fouss’ story of Sinbad and Cosette to remind students the sum of angles formulae

Pat’s beautiful trigonometric relationship with 30 – 60 – 90 triangles

squareCircleZ’s method on how to find the sine of 1degree exactly (good problem for advanced students once they learn sum and difference formulas)

Mimi’s Unit Circle and Wave Function Project (Part I, Part II)

SquareCircleZ’s posting of the movie “two dots” which illustrate trigonometry using triangles using a really classy song (classy with a c, not a k)

Precalculus Topics

JD2718′s post introducing geometric series via tax

Sam Alexander’s post on Conic Sections using Lampshades

@ffeldon’s use of wolfram alpha to investigate sequences and series (solns here)

Mr. D’s use of a dartboard to introduce basic probability

Riley Lark’s activity to get students to question the assumptions implicit in standard probability questions

Sarcasymptote’s use of Applebee’s advertisement to talk about combinations

Riley Lark’s introduction of the Monty Hall problem to talk about probability

John Scammell’s use of Mozart’s Dice Game to hook kids into combinatorics and counting

zshiner’s mnemonic to remember the important information about a graph

Adam Glesser’s alternative way to represent three intersecting Venn diagrams

Jason Dyer’s Q-bert based lesson on the binomial theorem

Riley Lark’s “Painting with Functions” introduction to polynomials and zeros using Geogebra and play

KFouss’s Polynomials Photo Project

Pat B’s beautiful problem that involves special right triangles with infinite series and geometry

Square Root of Negative One’s use of Conic Cards to teach Conics! (and follow up)

Jackie’s investigation of the End Behavior of Rational Functions

f(t)’s videos bringing vector summation to life

Sol’s beautiful proof without words of an infinite sum - rich for class discussion (and what constitutes a proof)

matthen’s nice applet illustrating the pigeonhole principle (kids get it intuitively, but having an illustration helps makes thing “sticky” methinks)

Dave’s activities and a project on vectors

Geometry Topics

Math Teacher Mambo’s Introductory Matching Game activity for Prisms and Polyhedra

Kate Nowak’s “Example-Not an Example” worksheet on circle vocabulary

Dave Richardson’s relationship between hat size and

Megan Golding’s introduction to converse, inverse, contrapositive using Alice in Wonderland clip

Mimi’s Tangram Project for basic angles, areas, and perimeters

A video on parallel lines cut by a transverse – and learning vocabulary

Math Teacher Mambo’s introductory excursion into Spherical Geometry

Mimi’s Mini Golf Project

Mr. Anderson’s virtual scavenger hunt for Triangles

Mimi’s many worksheets on Angles!

Ms. Cookie’s worksheets on parallel lines and transversals

Kate Nowak’s use of the US Dollar to talk about Special Right Triangles

Mimi’s Slopes and Parallellographs

Mimi’s Angle Pair worksheets

Mimi’s Orthocenter Activity/Cutout

f(t)’s Counterexamples in Geometry

Dan M.’s Geometry (parallel lines and angle bisectors) using Origami

Miss Calcul8′s process of getting students to generate formal definition of geometric shapes

Megan Golding’s schoolwide treasurehunt using school blueprints, Geometer’s Sketchpad, and a triangle

Ms. Cookie’s power of CPCTC worksheets

Ms. Cookie’s worksheet on congruent triangles (or not!)

Maria Andersen’s Polygon Capture game

I Hope This Old Train Breaks Down’s post on proofs in Geometry (and a concrete way to teach them)

Math Teacher Mambo’s introduction to basic right triangle trigonometry

Square Root of Negative One’s SOHCAHTOA’s scavenger hunt activity and Proportional scavenger hunt activity

I Hope This Old Train Breaks Down’s worksheet on the algebra behind finding the circumcenter

I Hope This Old Train Breaks Down’s worksheet on the Law of Sines and Cosines

Math Teacher Mambo’s Is this a Parallelogram?

Mimi’s Volume and Surface Area of 3d shapes project

John Scammel’s use of right triangles to make a radical ruler (cool!) – good way to visualize and compare radicals

Mimi’s Unit Circle cardboard toy that she uses with yarn to illustrate arc length, angles, sectors, etc.

Algebra I Topics

Sean Sweeny’s “adding like terms” is like adding bananas technique

dy/dan’s method of introducing scientific notation

David Cox’s method of getting students to understand and learn the name of basic addition/multiplication properties (e.g. associative)

cheesemonkey’s activities to help students gain numbersense

Bell Ringers/Ways to Start Class

Ashli Black’s most amazing way to start class and activate prior knowledge, get students to talk, and laugh [genius! genius!]

Amy’s recollections of a chant that was used to start class, which I love but don’t think I could pull off (or could I???)

Group Activities (not based around specific topic)

The Resolute Instructor’s Exam Prep Activities: post 1, post 2, post 3, post 4, post 5

Ms. Cookie’s Blank Math Joke Sheet

Mr. D’s Jenga test prep activity (suggestion: put #s on each Jenga tile, and have packets with questions numbered to match the Jenga tiles)

Ann Gregson’s group-based accountability-for-all review activity

Kristen Fouss’ trasketball game (played by others too!)

Miss Cal.Q.L8′s group activities to break up the monotony (love the balloon pop activity!)

Riley Lark’s roles for students when they are doing group work

Math Tales From the Spring Star Chain review activity

Math Mama’s Risk Your Knowledge Game

zshiner’s Pair Check activity

Amy G.’s Math Dominos game (and here)

f(t)’s Add ‘Em Up game (and Amy G.’s extension)

Miss Calcul8′s 4 color “game” on calling students in a group activity

Amy G.’s Station Review

Sue Van Hattum’s method of getting kids to decide how confident they are when doing problems

I Speak Math’s Math Hunt review activity

Maria Andersen’s Trinomial Activity Game

Math Hombre’s Linear War game (emphasizing comparing slopes, x-intercepts, and y-intercepts)

Kate Nowak’s use of GoodQuestions and clickers/poormanclickers to generate discussion/debate/instigate ARGUMENTS in her classroom

zShiner’s “math hospital” worksheet idea (to illustrate and correct common errors) — not really a group activity but a good activity

I Speak Math’s MATHO (like BINGO) review game

Middle School

Approaching Infinity’s Multiplying and Dividing by 10 mnemonic

Sean Sweeny’s “Rainbow Trick” to dividing fractions by fractions (actually, good all the way up to calculus!)

I Speak Math’s method for “Solving for Y” (in 2 step equations)

Math Teacher Mambo’s worksheets on adding and subtracting integers

David Cox’s method for setting up work problems

I Speak Math’s song and dance to solving multi-step equations