math

=**__Math Links:__**= __[|Origami Instructions for a topological pinwheel]__ [|Origami Resource Center] -- platonic solids, flowers, dollar bill & Star Wars origami... it's all here! [|WebMath] -- need homework help? Are you stuck on a math problem? WebMath can help you find the answers & see the steps how to get there. [|3-D Geometry animations] [|IMSA Cyber Quiz 4Kids] (new math challenge every month--students can win an iTouch, tablet computer, or tickets to Great America) [|Math webquests](try one of these online math investigations) [|Math Brain Teasers] [|Interactive Math applets] [|Pythagoras Rocks!](This website has several cool, interactive proofs for our favorite theorem) [|Interactive Pattern Generator] [|Significant figures Interactive Teaser] [|Khan Academ] y (This gifted individual has created an awesome resource that has a wealth of information that will serve you well for years to come: not just for today. I recommend that you check it out.) media type="custom" key="11089042" align="left" Math Movies (This is a site that collects student-made movies that can be used to teach math concepts.)

= __Graphing:__ = [|Graph Stories] (see if you can graph the action in these movies) [|Good Graphing Practice Quizzes] -- on the left side, choose the # of questions & the difficulty level & type of graph [|Short Graph Quiz] -- see if you can read this graph & answer all 5 questions correctly [|Quizville Math Games] -- practice your graphing skills [|Online flash cards & games] review your graphing vocab with flashcards and games [|What type of graph? flashcards & games] [|Animated Graphs] -- investigate Animations #1 & #2 of 3 racing monster trucks. Then try to figure out the average speed & explain the difference between them. [|Animated Graph Differentiation] -- Can you figure out more of these college-level animated graphs & answer the questions on each page? Do you need some graph paper? [|Click here to link to a printable 1cm graph]

For Teachers: Here are some great ways differentiate in your classroom: **Standard** ||  **Learning Objective** **(Regular**   **Grade Level Curriculum)**  ||  **Related Learning Objective for Acceleration or Enrichment** **(above grade level)** ||  **Additional Online and Text Resources**  || [|6.G.3] [|6.G.4] || Geometry and congruency || G/T students can explore Archemede’s Stomachion puzzle in different arrangements. || NYTimes article, “In Archimedes Puzzle, a New Eureka Moment’ [|http://www.nytimes.com] [|/2003/12/14/science/14MATH.html]
 * **Grade** ||  **Common Core Mathematics**
 * Grade 6 || [|6.G.1]

High quality image of stomachion:

Alternate Stomachion solutions: See figure 1 [] || [|6.EE.2] [|6.EE.3] [|6.EE.4] || Number Systems, Expression & equations, || Mayan Math (equivalent expressions, base twenty, concept of zero, & hieroglyphs) ||  || [|6.G.2] [|6.G.3] || Geometry of Platonic Solids || Create Platonic solid figures with origami, predict patterns of multi-color modular pieces || Origami Resource Center: [] || through [|8.G.8] || Pythagorean Theorem – (Arithmetic approach.) || Pythagorean Theorem – (geometric proofs, understanding congruence & similarity using physical models.) || Pythagorean & Chinese proof Euclid’s proof
 * Grade 6 || [|6.EE.1]
 * Grade 6 || [|6.G.1]
 * Grade 6 || 6.NS.4. || Infinity || Mobius Strips & Topology Magic Tricks ||  ||
 * Grade 7 || [|8.G.1]

Discovery School Movie – Geometric Proof – Tom M. Apostol, California Institute of Technology

[] || Circles, Pi || Pi, circles & concept of limits || CoolMath.com online lesson: [] || [|7.RP.2] [|7.RP.3] || Ratios, Fibonacci sequence || Fibonacci Logic Puzzles (High School Common Core Standard F-1F) || Online Fibonacci puzzles: [] (This page also has a link to easier puzzles for students at different levels of mastery.) || [|8.EE.6] [|8.EE.7] || Slope & linear equations || Students use motion detectors (Vernier Lab Pro models or, alternately, ipads with built in motion detectors) to create & analyze distance vs. time graphs that show constant or accelerating speed || "Walk the Line, Straight Line Graphs" lab activity from Vernier, Middle School Science with Computers []
 * Very Good* Constructivist Lesson Plans & Worksheet for the Pythagoras Theorem & Golden Ratio:
 * Grade 7 || Application level of each of the standards || Problem solving Strategies || Counterintuitive Thinking problems || Book: “10 Things Future Mathematicians and Scientists Should Know” by Ed Zaccaro ||
 * Grade 7 || 7.G  || Geometric Figures,
 * Grade 7 || [|7.RP.1]
 * Grade 8 || [|8.EE.5]

Vernier ipad app "Vernier Video Physics || [|through]    [|8.EE.8]  || Expressions and Equations || Hands-on hyperbolas
 * Grade 8 || [|8.EE.1]

(High School Common Core Standard G-GPE) || Crocheting the Hyperbolic Plane: by Daina Taimiða and David W. Henderson [] || Measurement, Estimation || Measurement Precision, Significant figures ||  || Strategies || Historical Problems || MathDL – The MAA Mathematical Sciences Digital Library online historical problems: [] || F-TF || Trigonomic Functions, Sine/cosine || Design a GPS scavenger hunt for the height of items on the school grounds ||  ||
 * Grade 8 || 8.EE || Mathematical Practices,
 * Grade 8 || Application level of each of the standards || Problem Solving
 * Grade 8 || High School Common Core Standard