Data Analysis and Probability Games
These activities support students as they conceptually develop a sense of how probability affects the outcome of games. Students will find that applying their knowledge of probability will help them win some of the games
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Data Analysis: One-Die Toss
Students need many experiences tossing one die, collecting data and analyzing that data to construct meaning for the probability of the different outcomes. Since a small student sample is often skewed, it is necessary for teachers to help students collate class data to better approximate the theoretical probability that the outcomes of tossing a single die are equally likely. The one-die games below motivate data collection opportunities that students will play again and again while generating l
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Data Analysis: Two-Dice Toss
Once students realize that the outcomes of tossing one die are equally likely, they sometimes transfer that knowledge to tossing two dice. This is a common misconception that is best addressed through data collection and analyzing that data rather than through telling. See suggested two-dice games below that students can play to gain experiential knowledge of the results of tossing two dice. Several of the games encourage students to develop better strategies in order to win and their growing un
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Data Analysis: Coin Flipping
Using two different coins and recording the results of both coins helps students dispel this initial misconception as they analyze the graph results. Class discussion should focus on analyzing the data to determine if the game is fair or not. Directions and gameboard are included in the download.
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Math Templates for Spinners
Use the math templates below to create spinners for probability experiments. The templates are designed to be placed in sheet protectors. Students can then customize the spinner for the particular experiment or game. Tape a transparent spinner over top the spinner template for student use. This method allows teachers to create many different spinners using templates and the plastic transparent spinners that are commercially available. This is especially effective when students are designing thei
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Discrete Math
These activities help students use organized lists and systematic counting to solve combination problems. Map coloring and networks are also discrete math problems that students can relate to real-world applications.
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Morning Math Routines
These are daily math routines commonly used in K-2 classrooms.
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Counting Games
These games support student development of number sense and the concept of mathematical operations
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Number Sense Activities: Climb the Ladder
Some students need prompts to help them write mathematical expressions for target numbers. Climb the Ladder is an activity that prompts students to move from all addition or subtraction problems and include many mathematical topics to generate equivalent names.
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Three Number Sense Activities
Game 1: Contig Game: This game challenges and extends the number sense experience students have gained from writing equivalent mathematical expressions for target numbers. Game 2: The 24 Game builds on students' ability to find equivalent names for numbers. Game 3: In Tribulation, students must search the game-board for 3 numbers in a row (vertically, horizontally or diagonally as in a word search) that combine to make the target number. In this game, however, there is a prescribed formula for c
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Data Investigations: Codemaking and Codebreaking
There are resources for two activities 1. Cryptograms: These puzzles are familiar sayings that have been encrypted. Use letter frequencies, letter patterns and your best analytical skills to decode these familiar puzzles that can be found in many puzzle magazines or online. 2. Crypto-lists: These lists were designed to introduce students to code-breaking. Each list contains words that relate to the topic. Use letter frequency and your best analytical skills to decode these lists. Remember that e
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Alternate Multiplication Algorithms
Students today develop proficiency with many different algorithms for multiplication. This approach insures that each student will find a method that works effectively for him/her. Teachers model the different algorithms and encourage students to use and practice each method before selecting a favorite.
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Coordinate Geometry Activities
These games support student development of the concept of ordered pairs as they play to win each game.
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Geometry and Measurement Games
These games support student development of spatial sense and foster familiarity with the mathematical vocabulary of geometry.
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Sampling Math Activities
These activities introduce students to the use of sampling for advertising purposes. They also generates a discussion about how advertisers use gimmicks to get people to buy more of their product. Even young students will admit that they have been induced to buy fast food meals in order to collect all of the toys.
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Problem Solving: Logic Number Puzzles
These logic number puzzles help students develop strong number sense as they work, clue by clue, to identify the digits of the missing number. The mixed-skills clues incorporate even-odd, less than-greater than, operations (sum, difference), multiples of 5 and 10, geometric terms (octagaon, pentagon, hexagon, quadrilateral, trapezoid, parallelogram), money (quarters, nickels) and measurement (cup, pint, quart, gallon). Students must squeeze every bit of knowledge from each clue to eliminate poss
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Who Has? Multiplication Activities
Once students have developed conceptual understanding of the basic operations they need to develop fluency with the facts. One quick way to include daily practice and motivate students to master these basic facts is through the use of the Who Has? card decks. These decks can be created for virtually any topic and frequent use as both a whole class practice or as a center activity for partners or small groups will provide facts practice in a highly-motivating format.
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100th Day of School Activities
Resources to mark the 100th day of school with math activities. Challenge students to generate 100 different ways to represent the number 100. Students will easily generate 99 + 1 and 50 + 50, but encourage them to think out of the box. Challenge them to include examples from all of the NCTM Standards strands: number sense, numerical operations, geometry, measurement, algebra, patterns, data analysis, probability, discrete math, Create a class list to record the best entries. Some teachers write
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Games to Practice Multiplication Facts
Students must think about the factors of each number as they play this game. Students quickly learn the value of selecting prime numbers as a strategy. The beauty of the game design is that students will review the factors of many numbers and mentally add the sum of these factors together in search of the "best move."
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Math Activity Themes: Bats
Bats are a common theme at Halloween. Use these resources to capitalize on student interest in bats and develop student understanding of common mathematical patterns.
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