Mathematical problems:
Assorted and by content categories
Problems are organized by content ares.
- Number value & operations
- Algebra & patterns
- Geometry & spatial reasoning
- Data analysis, probability, ratio, & proportion,
- Measurement
All problems require different amounts of reasoning, logic, representation, problem solving, communication.
- Assorted problems not categorized yet.
- Questions from standardized achievment tests, SAT, FAA, MCAT, ...
Number value and operations
- Doorbell problem for Pat Hutchins book: The Doorbell Rang
- Magic triangle add numers 1 - 6 to add to 9 in all directions
- Magic square perimeter add numbers 1-8 to 12 in all directions
- Representing addition and subtraction of fractions with unlike deominators
- Activities for primary students to use as problems
- How many dots?
- Bus & train passengers getting on & off, work backwards, undo, and algebra. Includes floor plan for representation diagrams.
- Bucket problems
- Muliplication on a grid
- Division with 12 & 4, & the importance of problem diversity
- Bean toss and Fold Book activities
- Ten & more (Teen numbers) Fold Book
- Ten & more (Teen numbers) worksheet
Algebra & patterns
- Acrobats Logic Problem, draw a diagram, proportion
- Calendar problems, patterns, facrtors, pi, primes, palidromes, & more
- 13 Plus Calendar problems: Discover patterns with dates (multiples, factors, powers, primes, ...)
- Mowing
- Wages for Pet Care
- How Big is Two Million $
- Fractional Parts Puzzle
- Bottle and cork
- Four Consecutive Numbers
- Problem in an email - Magic with your phone number
- Pizzas
- Cartography - map making, angle measurement, compass, clinometer, measure height, measure distance, locating objects with distance and angle combinations, contour maps
- Eight by Eight Square with 16 colored squares: How many patterns?
- Bodies and proportions
- Card tricks
- Bridge building problem --->>> same problem more directed worksheet
- Fibonaccii sequence deomonstration
- Odd plus odd makes? deomonstration three concrete, semi concrete, and symbolic
- How many grains of sand in the Universe? Archimedes' proof in The Sand Reckoner. (Problem solving, algebra, geometry)
Geometry and spatial reasoning
- How many Squares? - four sizes
- How Many Squares? - five sizes -[teaching suggestions & discussion of how math process dimensions are related]
- Eight by Eight Square with 16 colored squares: How many patterns?
- Pentomino puzzles
- Tooth pick problems Flash | page |
- Surveilance camera puzzle
- What are the angles and sides of a pattern block star?
- Measuring the circumference of the Earth
- Trapezoid area thirty-six
- Pizzas
- Cartography - map making, angle measurement, compass, clinometer, measure height, measure distance, locating objects with distance and angle combinations, contour maps
- Five piece square puzzle
- Names - it's a matter of lines
- Area and perimeter worksheet
- Tangrams puzzle and table
Data analysis, probability, ratio, & proportion
Data analysis
- Categorical sorting
- One variable data analysis and graphs> ---> M&M's, ping-pong ball race ---> [M&M's Activity by Lanette VonSeggerrn ] -->>Color Percentages of M&Ms in the United States and Throughout the World Collected and created by: April Thede 2005
- Stem and leaf plots
- Find your classes hang time and vertical jump statistics
Probability
- Three coins
- Aces for Dinner
- Win a Car Contest
- The Case of the Carnival Probability Game with Reader's Theatre
- Envelopes with Cash Contest
- Sack lunches
- Capture recapture problem simulation
- Capture recapture problem simulation -2
- Bingo addition a possibility of different digits for sums
- Bingo subtraction and possibility of different digits for differences
- Six card draw two game - who has the better probability?Flipping one coin, two, three, ... what are the possibilities?
- Spinners and probability
Ratio & proportion
- Ratio and proportion problems
- Bodies and proportions
- Acrobats Logic Problem, draw a diagram, proportion
Measurement
- Cartography - map making, angle measurement, compass, clinometer, measure height, measure distance, locating objects with distance and angle combinations, contour maps
- Rubber band simulation
Challenges:
- Math and science challenges
- Five piece square puzzle Make one for yourself and a friend. Why is it so challenging?
- Tangram pieces
- Petals on a rose - A dice puzzle.
- SUDOKU logical strategies for solving them and a puzzle.
- Triangles in ten shapes puzzle
- There are 10 kinds of people in the world. Those who understand binary and those who don't.
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Jeffery Weld asks:
Why is it whenever students don't do well on a national test the news agencies report one or a few particular items that were on the test by stating the test questions, then they believe it is necessary to provide the answers. If their listeners need the answers, why should we expect students to be able to answer it correctly?
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U.S. Students
Score in the top tier on
the PISA 2012 Math Creative Problem SolvingAssessment
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