Math Links:

pinwheel_origami.jpgOrigami 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.)


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:
Grade
Common Core Mathematics
Standard
Learning Objective
(Regular
Grade Level Curriculum)
Related Learning Objective for Acceleration or Enrichment
(above grade level)
Additional Online and Text Resources
Grade 6
6.G.1
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

High quality image of stomachion:
http://commons.wikimedia.org/wiki/File:StomachionConstruction.png

Alternate Stomachion solutions: See figure 1
http://graphics7.nytimes.com/images/2003/12/13/science/1214MATH2.gif
Grade 6
6.EE.1
6.EE.2
6.EE.3
6.EE.4
Number Systems,
Expression & equations,
Mayan Math
(equivalent expressions, base twenty, concept of zero, & hieroglyphs)

Grade 6
6.G.1
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: http://www.origami-resource-center.com/modular.html
Grade 6
6.NS.4.
Infinity
Mobius Strips & Topology Magic Tricks

Grade 7
8.G.1
through
8.G.8
Pythagorean Theorem – (Arithmetic approach.)
Pythagorean Theorem – (geometric proofs, understanding congruence & similarity using physical models.)
Pythagorean & Chinese proof
Euclid’s proof

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

*Very Good* Constructivist Lesson Plans & Worksheet for the Pythagoras Theorem & Golden Ratio:
http://people.stu.ca/~pheeney/5873LessonPlan_Pythagorus09.pdf
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,
Circles, Pi
Pi, circles & concept of limits
CoolMath.com online lesson:
http://www.coolmath.com/lesson-whats-a-limit-1.htm
Grade 7
7.RP.1
7.RP.2
7.RP.3
Ratios,
Fibonacci sequence
Fibonacci Logic Puzzles
(High School Common Core Standard F-1F)
Online Fibonacci puzzles:
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibpuzzles2.html
(This page also has a link to easier puzzles for students at different levels of mastery.)
Grade 8
8.EE.5
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 http://www2.vernier.com/sample_labs/RWCALC-01-walk_the_line.pdf

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

(High School Common Core Standard G-GPE)
Crocheting the Hyperbolic Plane: by Daina Taimiða and David W. Henderson
http://www.math.cornell.edu/~dwh/papers/crochet/crochet.html
Grade 8
8.EE
Mathematical Practices,
Measurement,
Estimation
Measurement Precision,
Significant figures

Grade 8
Application level of each of the standards
Problem Solving
Strategies
Historical Problems
MathDL – The MAA Mathematical Sciences Digital Library online historical problems:
http://mathdl.maa.org/mathDL/46/?pa=content&sa=viewDocument&nodeId=2163&pf=1
Grade 8
High School Common Core Standard
F-TF
Trigonomic Functions, Sine/cosine
Design a GPS scavenger hunt for the height of items on the school grounds