Illustrative Math Alignment: Grade 6 Unit 8
Data Sets and Distributions
Lesson 4: Dot Plots
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Clip Art: Spinner, 7 Sections--Result 7 | Math Clip Art: Spinner, 7 Sections--Result 7TopicProbability and Statistics DescriptionThis image depicts a spinner divided into seven equal sections colored red, green, yellow, blue, orange, grey, and brown. The spinner's arrow points to the brown section, showcasing the final possible outcome in this probability model. In Probability and Statistics, this spinner illustrates a fair probability experiment with seven mutually exclusive and equally likely outcomes. It provides a visual representation of how each spin has an equal 1/7 chance of landing on any of the seven colors, demonstrating complex probability scenarios. |
Probability |
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Math Clip Art: Spinner, 8 Sections--Result 1 | Math Clip Art: Spinner, 8 Sections--Result 1TopicProbability and Statistics DescriptionThis image features a spinner divided into eight equal sections colored red, green, yellow, light blue, orange, grey, brown, and dark blue. The spinner's arrow points to the red section, demonstrating one of the possible outcomes. In the realm of Probability and Statistics, this spinner illustrates how the sample space expands with more outcomes, each having an equal probability of 1/8. It serves as an excellent tool for teaching about equiprobable events in complex scenarios. |
Probability |
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Math Clip Art: Spinner, 8 Sections--Result 2 | Math Clip Art: Spinner, 8 Sections--Result 2TopicProbability and Statistics DescriptionThis image features a spinner divided into eight equal sections colored red, green, yellow, light blue, orange, grey, brown, and dark blue. The spinner's arrow points to the green section, demonstrating one of the possible outcomes. In the realm of Probability and Statistics, this spinner illustrates how the sample space expands with more outcomes, each having an equal probability of 1/8. It serves as an excellent tool for teaching about equiprobable events in complex scenarios. |
Probability |
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Math Clip Art: Spinner, 8 Sections--Result 3 | Math Clip Art: Spinner, 8 Sections--Result 3TopicProbability and Statistics DescriptionThis image features a spinner divided into eight equal sections colored red, green, yellow, light blue, orange, grey, brown, and dark blue. The spinner's arrow points to the yellow section, demonstrating one of the possible outcomes. In the realm of Probability and Statistics, this spinner illustrates how the sample space expands with more outcomes, each having an equal probability of 1/8. It serves as an excellent tool for teaching about equiprobable events in complex scenarios. |
Probability |
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Math Clip Art: Spinner, 8 Sections--Result 4 | Math Clip Art: Spinner, 8 Sections--Result 4TopicProbability and Statistics DescriptionThis image features a spinner divided into eight equal sections colored red, green, yellow, light blue, orange, grey, brown, and dark blue. The spinner's arrow points to the light blue section, demonstrating one of the possible outcomes. In the realm of Probability and Statistics, this spinner illustrates how the sample space expands with more outcomes, each having an equal probability of 1/8. It serves as an excellent tool for teaching about equiprobable events in complex scenarios. |
Probability |
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Math Clip Art: Spinner, 8 Sections--Result 5 | Math Clip Art: Spinner, 8 Sections--Result 5TopicProbability and Statistics DescriptionThis image features a spinner divided into eight equal sections colored red, green, yellow, light blue, orange, grey, brown, and dark blue. The spinner's arrow points to the orange section, demonstrating one of the possible outcomes. In the realm of Probability and Statistics, this spinner illustrates how the sample space expands with more outcomes, each having an equal probability of 1/8. It serves as an excellent tool for teaching about equiprobable events in complex scenarios. |
Probability |
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Math Clip Art: Spinner, 8 Sections--Result 6 | Math Clip Art: Spinner, 8 Sections--Result 6TopicProbability and Statistics DescriptionThis image features a spinner divided into eight equal sections colored red, green, yellow, light blue, orange, grey, brown, and dark blue. The spinner's arrow points to the grey section, demonstrating one of the possible outcomes. In the realm of Probability and Statistics, this spinner illustrates how the sample space expands with more outcomes, each having an equal probability of 1/8. It serves as an excellent tool for teaching about equiprobable events in complex scenarios. |
Probability |
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Math Clip Art: Spinner, 8 Sections--Result 7 | Math Clip Art: Spinner, 8 Sections--Result 7TopicProbability and Statistics DescriptionThis image features a spinner divided into eight equal sections colored red, green, yellow, light blue, orange, grey, brown, and dark blue. The spinner's arrow points to the brown section, demonstrating one of the possible outcomes. In the realm of Probability and Statistics, this spinner illustrates how the sample space expands with more outcomes, each having an equal probability of 1/8. It serves as an excellent tool for teaching about equiprobable events in complex scenarios. |
Probability |
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Math Clip Art: Spinner, 8 Sections--Result 8 | Math Clip Art: Spinner, 8 Sections--Result 8TopicProbability and Statistics DescriptionThis image features a spinner divided into eight equal sections colored red, green, yellow, light blue, orange, grey, brown, and dark blue. The spinner's arrow points to the dark blue section, demonstrating one of the possible outcomes. In the realm of Probability and Statistics, this spinner illustrates how the sample space expands with more outcomes, each having an equal probability of 1/8. It serves as an excellent tool for teaching about equiprobable events in complex scenarios. |
Probability |
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Math Clip Art: Spinner, 9 Sections--Result 1 | Math Clip Art: Spinner, 9 Sections--Result 1TopicProbability and Statistics DescriptionThis image features a spinner divided into nine equal sections colored red, green, dark yellow, light blue, orange, grey, brown, purple, and light yellow. The spinner's arrow points to the red section, demonstrating one of the nine possible outcomes. In the realm of Probability and Statistics, this spinner illustrates how the sample space expands with more outcomes, each having an equal probability of 1/9. It serves as an excellent tool for teaching about equiprobable events in complex scenarios. |
Probability |
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Math Clip Art: Spinner, 9 Sections--Result 2 | Math Clip Art: Spinner, 9 Sections--Result 2TopicProbability and Statistics DescriptionThis image showcases a spinner divided into nine equal sections colored red, green, dark yellow, light blue, orange, grey, brown, purple, and light yellow. The spinner's arrow points to the green section, illustrating another possible outcome. In Probability and Statistics, this spinner represents a fair probability experiment with nine mutually exclusive and equally likely outcomes. It provides a visual representation of how each spin has an equal 1/9 chance of landing on any of the nine colors. |
Probability |
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Math Clip Art: Spinner, 9 Sections--Result 3 | Math Clip Art: Spinner, 9 Sections--Result 3TopicProbability and Statistics DescriptionThis image displays a spinner divided into nine equal sections colored red, green, dark yellow, light blue, orange, grey, brown, purple, and light yellow. The spinner's arrow points to the dark yellow section, showcasing another possible outcome in this probability model. In the field of Probability and Statistics, this spinner exemplifies a uniform probability distribution with nine equally likely outcomes. Each spin has a 1/9 probability of landing on any given color, illustrating the concept of equiprobable events in a more complex scenario. |
Probability |
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Math Clip Art: Spinner, 9 Sections--Result 4 | Math Clip Art: Spinner, 9 Sections--Result 4TopicProbability and Statistics DescriptionThis image presents a spinner divided into nine equal sections colored red, green, dark yellow, light blue, orange, grey, brown, purple, and light yellow. The spinner's arrow points to the light blue section, demonstrating another possible outcome in this probability model. In Probability and Statistics, this spinner illustrates a fair probability experiment with nine mutually exclusive and equally likely outcomes. It provides a visual representation of how each spin has an equal 1/9 chance of landing on any of the nine colors. |
Probability |
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Math Clip Art: Spinner, 9 Sections--Result 5 | Math Clip Art: Spinner, 9 Sections--Result 5TopicProbability and Statistics DescriptionThis image showcases a spinner divided into nine equal sections colored red, green, dark yellow, light blue, orange, grey, brown, purple, and light yellow. The spinner's arrow points to the orange section, illustrating another possible outcome in this probability model. In the context of Probability and Statistics, this spinner represents a probability experiment with nine equally likely outcomes. It visually demonstrates the concepts of sample space and individual events within that space, each with a 1/9 probability of occurrence. |
Probability |
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Math Clip Art: Spinner, 9 Sections--Result 6 | Math Clip Art: Spinner, 9 Sections--Result 6TopicProbability and Statistics DescriptionThis image displays a spinner divided into nine equal sections colored red, green, dark yellow, light blue, orange, grey, brown, purple, and light yellow. The spinner's arrow points to the grey section, showcasing another possible outcome in this probability model. In the field of Probability and Statistics, this spinner exemplifies a uniform probability distribution with nine equally likely outcomes. Each spin has a 1/9 probability of landing on any given color, illustrating the concept of equiprobable events in a more complex scenario. |
Probability |
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Math Clip Art: Spinner, 9 Sections--Result 7 | Math Clip Art: Spinner, 9 Sections--Result 7TopicProbability and Statistics DescriptionThis image presents a spinner divided into nine equal sections colored red, green, dark yellow, light blue, orange, grey, brown, purple, and light yellow. The spinner's arrow points to the brown section, demonstrating another possible outcome in this probability model. In Probability and Statistics, this spinner illustrates a fair probability experiment with nine mutually exclusive and equally likely outcomes. It provides a visual representation of how each spin has an equal 1/9 chance of landing on any of the nine colors. |
Probability |
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Math Clip Art: Spinner, 9 Sections--Result 8 | Math Clip Art: Spinner, 9 Sections--Result 8TopicProbability and Statistics DescriptionThis image showcases a spinner divided into nine equal sections colored red, green, dark yellow, light blue, orange, grey, brown, purple, and light yellow. The spinner's arrow points to the purple section, illustrating another possible outcome in this probability model. In the context of Probability and Statistics, this spinner represents a probability experiment with nine equally likely outcomes. It visually demonstrates the concepts of sample space and individual events within that space, each with a 1/9 probability of occurrence. |
Probability |
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Math Clip Art: Spinner, 9 Sections--Result 9 | Math Clip Art: Spinner, 9 Sections--Result 9TopicProbability and Statistics DescriptionThis image displays a spinner divided into nine equal sections colored red, green, dark yellow, light blue, orange, grey, brown, purple, and light yellow. The spinner's arrow points to the light yellow section, showcasing the final possible outcome in this probability model. In the field of Probability and Statistics, this spinner exemplifies a uniform probability distribution with nine equally likely outcomes. Each spin has a 1/9 probability of landing on any given color, illustrating the concept of equiprobable events in a more complex scenario. |
Probability |
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Definition--Sequences and Series Concepts--Arithmetic Sequence | Arithmetic SequenceTopicSequences and Series DefinitionAn arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. DescriptionAn arithmetic sequence is a fundamental concept in mathematics, particularly in the study of sequences and series. It is defined by the property that each term after the first is the sum of the previous term and a constant, known as the common difference. This concept is crucial in various mathematical applications, including solving problems related to linear growth and predicting future events based on past data. |
Sequences |
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Definition--Sequences and Series Concepts--Arithmetic Series | Arithmetic SeriesTopicSequences and Series DefinitionAn arithmetic series is the sum of the terms of an arithmetic sequence. DescriptionAn arithmetic series is a significant concept in mathematics, especially in the study of sequences and series. It is formed by adding the terms of an arithmetic sequence. This concept is crucial for understanding how sums of linear patterns are calculated, which has applications in various fields such as finance, engineering, and computer science. |
Series |
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Definition--Charts and Graphs--Bar Graph | Definition--Charts and Graphs--Bar Graph
This is a collection of definitions related to the concept of charts, graphs, and data displays. |
Data Analysis |
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Definition--Charts and Graphs--Box-and-Whisker Plot | Definition--Charts and Graphs--Box-and-Whisker Plot
This is a collection of definitions related to the concept of charts, graphs, and data displays. |
Data Analysis |
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Definition--Charts and Graphs--Circle Graph | Definition--Charts and Graphs--Circle Graph
This is a collection of definitions related to the concept of charts, graphs, and data displays. |
Data Analysis |
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Definition--Sequences and Series Concepts--Geometric Sequence | Geometric SequenceTopicSequences and Series DefinitionA geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. DescriptionA geometric sequence is a fundamental concept in mathematics, particularly in the study of sequences and series. It is defined by the property that each term after the first is the product of the previous term and a constant, known as the common ratio. This concept is crucial in various mathematical applications, including exponential growth and decay. |
Sequences |
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Definition--Sequences and Series Concepts--Geometric Series | Geometric SeriesTopicSequences and Series DefinitionA geometric series is the sum of the terms of a geometric sequence. DescriptionA geometric series is a significant concept in mathematics, especially in the study of sequences and series. It is formed by adding the terms of a geometric sequence. This concept is crucial for understanding how sums of exponential patterns are calculated, which has applications in various fields such as finance, engineering, and computer science. |
Series |
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Definition--Statistics and Probability Concepts--Histogram | HistogramTopicStatistics and Probability DefinitionA histogram is a graphical representation of data distribution using bars of different heights. DescriptionHistograms are a fundamental tool in statistics for visualizing the frequency distribution of a dataset. They are used across various fields, including economics, biology, and engineering, to analyze data patterns and trends. By displaying data in intervals, histograms help identify the shape, central tendency, and variability of data. For students, understanding histograms is crucial for interpreting data visually and making informed decisions based on statistical evidence. |
Data Analysis |
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Definition--Charts and Graphs--Line Graph | Definition--Charts and Graphs--Line Graph
This is a collection of definitions related to the concept of charts, graphs, and data displays. |
Data Analysis |
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Definition--Charts and Graphs--Line Plot | Definition--Charts and Graphs--Line Plot
This is a collection of definitions related to the concept of charts, graphs, and data displays. |
Data Analysis |
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Definition--Measures of Central Tendency--Mean | MeanTopicStatistics DefinitionThe mean is a measure of central tendency that provides an average representation of a set of data. DescriptionThe Mean is an important concept in statistics, used to summarize data effectively. In real-world applications, the Mean helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research. For example, if a data set consists of the values 2, 3, and 10, the mean is calculated as (2 + 3 + 10)/3 = 5. |
Data Analysis |
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Definition--Measures of Central Tendency--Median | MedianTopicStatistics DefinitionThe median is a measure of central tendency that provides the middle value of a data set.. DescriptionThe Median is an important concept in statistics, used to summarize data effectively. In real-world applications, the Median helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research. For large data sets, the Median provdes an average that doesn't involve the massive calculation of a mean. |
Data Analysis |
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Definition--Measures of Central Tendency--Mode | ModeTopicStatistics DefinitionThe mode is the most frequent data item.. DescriptionThe Mode is an important concept in statistics, used to summarize data effectively. It is the most frequent data item in a data set. A data set can have more than one mode. In mathematics education, understanding mode is crucial as it lays the foundation for more advanced statistical concepts. It allows students to grasp the significance of data analysis and interpretation. In classes, students often perform exercises calculating the mean of sets, which enhances their understanding of averaging techniques. |
Data Analysis |
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Definition--Measures of Central Tendency--Range | RangeTopicStatistics DefinitionThe range is the difference between the highest and lowest values in a data set. DescriptionThe range is a simple measure of variability that indicates the spread of a data set. It is calculated by subtracting the smallest value from the largest value, providing a quick sense of the data's dispersion. The range is used in various fields, including finance and quality control, to assess the variability and consistency of data. |
Data Analysis |
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Definition--Statistics and Probability Concepts--Scatterplot | ScatterplotTopicStatistics and Probability DefinitionA scatterplot is a graphical representation of the relationship between two numerical variables. DescriptionScatterplots are essential tools in statistics for visualizing the correlation between two variables. They are widely used in fields like economics and biology to identify trends and relationships in data. For students, understanding scatterplots is important for interpreting data visually and analyzing the strength and direction of relationships between variables. This skill is crucial for developing their ability to conduct statistical analyses and draw meaningful conclusions from data. |
Data Analysis |
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Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot | Stem-and-Leaf PlotTopicStatistics and Probability DefinitionA stem-and-leaf plot is a graphical representation that organizes data points based on their place value. DescriptionStem-and-leaf plots are useful for displaying the distribution of a dataset in a concise format, preserving the original data while showing its shape. They are particularly helpful in exploratory data analysis to identify patterns and outliers. In educational settings, stem-and-leaf plots are used to teach students about data organization and visualization. Understanding this concept helps students develop skills in data interpretation and enhances their ability to summarize data effectively. |
Data Analysis |
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Formulas--Median | Formulas--Median
The formula for the Median. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
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Formulas--Sum of Consecutive Integers | Formulas--Sum of Consecutive Integers
The formula for the Sum of Consecutive Integers. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Sequences and Series |
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Formulas--Sum of Consecutive Odd Integers | Formulas--Sum of Consecutive Odd Integers
The formula for the Sum of Consecutive Integers. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Sequences and Series |
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VIDEO: Algebra Applications: Linear Functions, 3 | VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration.
Linear Expressions, Equations, and FunctionsLinear Expressions |
Special Functions and Applications of Linear Functions |
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MATH EXAMPLES--The Mean | MATH EXAMPLES--The Mean
This set of tutorials provides 42 examples of calculating the mean. NOTE: The download is a PPT file. |
Data Analysis |
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MATH EXAMPLES--The Median | MATH EXAMPLES--The Median
This set of tutorials provides 40 examples of calculating the median. NOTE: The download is a PPT file. |
Data Analysis |
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MATH EXAMPLES--The Mode | MATH EXAMPLES--The Mode
This set of tutorials provides 78 examples of calculating the mode. NOTE: The download is a PPT file. |
Data Analysis |
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MATH EXAMPLES--The Range | MATH EXAMPLES--The Range
This set of tutorials provides 26 examples of calculating the range. NOTE: The download is a PPT file. |
Data Analysis |
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Math in the News: Issue 89--Who Will Win Super Bowl XLVIII? | Math in the News: Issue 89--Who Will Win Super Bowl XLVIII?
January 2014. In this issue of Math in the News we look at football statistics to examine who stands the best chance of winning Super Bowl XLVIII. This is an excellent opportunity for data analysis. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
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Math in the News: Issue 90--America's Candy Crush | Math in the News: Issue 90--America's Candy Crush
February 2014. In this issue of Math in the News we look at economic data around Valentine's Day purchases. We look at data in tables and graphs and try to account for trends in the data. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
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Math in the News: Issue 95--The Iditarod Race | Math in the News: Issue 95--The Iditarod Race
March 2014. In this issue of Math in the News we look at the Iditarod Race in Alaska. This gives us an opportunity to analyze data on average speed. We look at data in tables and line graphs and analyze the winning speeds over the history of the race. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
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Math in the News: Issue 102--Why Ebola Is So Dangerous | Math in the News: Issue 102--Why Ebola Is So Dangerous
November 2014. In this issue of Math in the News we examine the ebola virus. We develop a matematical model for viral growth to show why it is such a dangerous virus. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Exponential and Logarithmic Functions |
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Math in the News: Issue 106--A Box Office Monster! | Math in the News: Issue 106--A Box Office Monster!
July 2015. In this issue of Math in the News we analyze the amazing box office success of the recently released Jurassic World. This provides an excellent application of data analysis and linear equations. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Linear Functions, Standard Form and Data Analysis |
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Math in the News: Issue 109--Was Ali the Greatest? | Math in the News: Issue 109--Was Ali the Greatest?
July 2016. In this issue of Math in the News we look at Muhammad Ali's boxing record and compare his record to other boxers. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
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Math in the News: Issue 110--Summer Travel | Math in the News: Issue 110--Summer Travel
August 2016. In this issue of Math in the News calculate average speed to various vacation destinations when traveling by car. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
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Math in the News: Issue 113--Olympic Power | Math in the News: Issue 113--Olympic Power
November 2016. In this issue of Math in the News, we look at the history of the Olympics. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
