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Grade PreK2  Grade 35  Grade 68  Grade 912
 Alphabits
Apply the concept of ratio and percents to the distribution of letters contained in a box of Alphabits® cereal.
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 Aw Chute
Determine and compare the rate of descent of various studentconstructed parachutes.
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 Drip, Drop, Drip, Drop
8
Designa model simulating a leaky faucet, graphing, interpreting, and predicting the results and relating the experiment to water conservation.
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 Fantasy Baseball Part I
Investigate numbers and number relations used in the game of baseball.
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 Fantasy Baseball Part II
Investigate numbers and number relations used in the game of baseball.
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 Fill 'er Up
Interpret, predict, and sketch graphs of related functions as applied to the shapes of bottles.
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 Hop to It
8
Use an eighth grade TIMMS item to probe student thinking and to develop a lesson in which students look for patterns, find a general rule, and express the rule using a variable.
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 How Many Noses are in Your Arm?
Apply the concept of ratio and proportion to determine the length of the Statue of Liberty's torchbearing arm.
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 In a Heartbeat
Use scatter plots to determine the correlation between heartbeats per minute before and after aerobic exercise.
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 Is It Really News?
Apply the concepts of fractions and decimals to determine what part of a newspaper is really news.
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 Let's Face It
Identify, describe, and construct the five regular polyhedra.
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 Looking Through the Algebraic Lens
68
Investigate problems, one using variables to express relationships between units of liquid measure while determining the amount of punch needed for a party, and the other exploring the distributive property using a recipe, that foster algebraic thinking across content strands.
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 Million Dollar Giveaway
Apply measurement skills to determine the volume of a suitcase in dollar bills.
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 Once in a Blue Moon
Use number theory skills to determine when certain planets will be aligned.
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 Reaching New Heights
6
Introduce comparisons of two sets of data (height and arm span), the graph of the function of y=x, and the concept of correlation.
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 Remove One
Develop winning strategies based on probable outcomes of events using dice.
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 Rock Around the Clock
Apply the Monte Carlo method of simulation to determine a reasonable estimate.
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 Roll Out the Barrel
Apply mathematical modeling to solve a realworld storage problem.
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 Rumors
Explore how the spread of rumors forms an exponential growth pattern.
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 Something Fishy
Apply the concepts of ratio and proportion to the capturerecapture statistical procedure.
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 Steppin' Out
Construct box and whisker plots to analyze and compare data sets.
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 The Factor Game
Use a game setting to investigate the properties of prime, composite, abundant, deficient, and perfect numbers.
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 The Great Race
Construct number patterns generated from a race (as between the tortoise and the hare) and use the patterns to generate a graph of the situation.
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 The Smithville Families
Generate the number patterns in Pascal's triangle and apply the patterns to theoretical probability.
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 Tiling the Plaza
Arrange pattern blocks to create tessellations and to explore geometric patterns.
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 Up, Up, and Away
7
Analyze relationships between variables in a balloon experiment through spreadsheets and graphs.
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 We're All Tuned In
Construct convincing arguments based on analyses of data gathered from interviews.
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 Wet Heads
Construct stem and leaf plots based on how estimations compare to actual data.
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 What's Your Angle?
Apply inductive reasoning to devise procedures for using a protractor.
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 You Make the Call
7
Compare two mobile phone plans, using words, tables, and graphs to choose the most appropriate plan for a middle school student.
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