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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 8

Probability and Sampling

Lesson 19: Comparing Populations With Friends

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Collection Integers: Basic Terms and Definitions Here we bring together key terms and formulas around the topic of Integers. Numerical Expressions, Variable Expressions, Sequences, Series, Algebra Tiles--Expressions and Equations and Inequalities
Collection Measures of Central Tendency: Basic Terms and Definitions

 

Here we gather key terms, definitions, and formulas around Measures of Central Tendency.

 

Data Analysis and Relations and Functions
Collection Measures of Central Tendency: Math Examples I

 

This is a collection of detailed math examples on the topic of the Mean.

 

Data Analysis
Collection Measures of Central Tendency: Math Examples II

 

This is a collection of detailed math examples on the topic of the Median.

 

Data Analysis
Collection Measures of Central Tendency: Math Examples III

 

Here is a collection of detailed math examples on the topic of the Mode.

 

Data Analysis
Collection Measures of Central Tendency: Math Examples IV

 

Here is a collection of detailed math examples on the topic of the Range.

 

Data Analysis
Collection Measures of Central Tendency: Quizlet Flash Cards

 

This is a collection of Quizlet Flash Cards on various topics in Measures of Central Tendency.

 

Data Analysis
Collection Measures of Central Tendency: Worksheets

 

Here is a collection of worksheets on various topics in Measures of Central Tendency.

 

Data Analysis
Collection Measures of Central Tendency: Math Games and Puzzles

 

This is a collection of games and puzzles on various terms and topics in Data Analysis and Measures of Central Tendency.

 

Data Analysis
Collection Measures of Central Tendency: Instructional Resources

 

Here is a collection of instructional resources for various topics in Measures of Central Tendency.

 

Data Analysis
Collection Holiday Themed Resource Collection: Math in the News  

This is a collection of Holiday-Themed issues of Math in the News.

 

Data Analysis, Applications of Exponential and Logarithmic Functions, Surface Area and Volume
Math Examples Math Examples Collection: The Mean

Overview

The Media4Math collection on Measures of Central Tendency offers a comprehensive set of examples that explore various aspects of mean, median, and mode. This resource provides students with a diverse range of problems that progressively increase in complexity, allowing for a deeper understanding of these fundamental statistical concepts.

Data Analysis
Math Examples Math Examples Collection: The Median

Overview

This collection of math examples focuses on Measures of Central Tendency, specifically the Median comprises 40 downloadable JPG images that educators can easily incorporate into their lesson plans. The examples in this collection cover a range of skills related to calculating and understanding the median. They progress in complexity, allowing students to build their knowledge gradually. Visual models are employed throughout the collection to simplify and illustrate concepts, making them more accessible to learners.

Data Analysis
Math Examples Math Examples Collection: The Mode

Overview

This comprehensive collection of 78 math examples focuses on the Mode, a key measure of central tendency in statistics. The examples provide a rich resource for educators teaching this fundamental concept.

Data Analysis
Math Examples Math Examples Collection: Range

Overview

This collection of math examples focuses on Measures of Central Tendency, specifically the concept of Range. It comprises 26 downloadable JPG images that educators can easily incorporate into their lesson plans.

Data Analysis
Math Worksheets Math Worksheet Collection: Data Analysis: Mean, Median, and Mode

Math Worksheet Collection: Data Analysis: Mean, Median, and Mode

Overview

This collection aggregates all the math worksheets around the topic of Data Analysis: Mean, Median, and Mode. There are a total of 60 worksheets. Each worksheet includes an answer key. This collection of resources is made up of downloadable PDF files that you can easily incorporate into your instruction.

 

Data Analysis
Math Clip Art Math Clip Art Collection: Statistics

Overview

This collection aggregates all the math clip art around the topic of Statistics. There are a total of 55 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

Data Analysis, Probability, Data Gathering and Counting
Math Videos Math Video Collection: Texas Instruments Tutorial Videos

Overview

This collection aggregates all the math videos and resources in this series: Texas Instruments Tutorial Videos. There are a total of 266 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Rational Expressions, Sequences, Series, Polynomial Functions and Equations, Graphs of Quadratic Functions, Quadratic Equations and Functions, Solving Systems of Equations, Trig Expressions and Identities, Probability, Geometric Constructions with Triangles, Composite Functions, Geometric Constructions with Angles and Planes, Distance Formula, Data Analysis, Slope, Special Functions, Trigonometric Functions, Graphs of Exponential and Logarithmic Functions, Radical Functions and Equations, Rational Functions and Equations, Slope-Intercept Form, Coordinate Systems, Graphs of Linear Functions, Inequalities, Matrix Operations and Midpoint Formula
Sequences Series Collection Math Definitions Collection: Sequences and Series

Overview

This comprehensive collection of definitions on Sequences and Series provides a valuable resource for students and educators alike. It covers essential terms such as arithmetic sequence, geometric sequence, recursive formula, explicit formula, and convergent and divergent series. Understanding these concepts is crucial for students as they form the foundation for more advanced mathematical topics in calculus and beyond.

Sequences and Series
Statistics Collection Math Definitions Collection: Statistics and Probability

Overview

The collection of definitions on the topic of Probability and Statistics from Media4Math is a valuable educational resource designed to enhance students' understanding of key concepts in this field. This collection includes essential terms such as statistic, probability, probability distribution, among others. Each definition is crafted to provide clarity and support students in grasping complex statistical ideas.

Data Analysis, Probability and Data Gathering
Quizlet Flash Cards Quizlet Flash Card Collection: Measures of Central Tendency

Overview

This is a collection of Quizlet Flash Cards on the topic of Measures of Central Tendency. There are a total of 20 Quizlet Flash Card sets.

 

 

Data Analysis
Quizlet Flash Cards Quizlet Flash Card Collection: Find The Middle Term

Overview

This is a collection of Quizlet Flash Cards on the topic of Finding the Middle Term. There are a total of 5 Quizlet Flash Card sets.

 

 

Compare and Order Numbers
Instructional Resource Instructional Resource Collection: The Fibonacci Sequence

Overview

This is a collection of lessons on the Fibonacci Sequence. There are six lessons.

 

Sequences, Exploring Coordinate Systems, Applications of Exponential and Logarithmic Functions, Ratios and Rates, Proportions, Geometric Constructions with Triangles and Applications of Quadrilaterals
Math in the News Math in the News Collection: Applications of Exponential Functions

Overview

This is a collection of Math in the News stories that focus on the topic of Exponential Functions.

 

 

 
Applications of Exponential and Logarithmic Functions, Applications of Linear Functions, Data Analysis and Sequences
Math in the News Math in the News Collection: Applications of Data Analysis

Overview

This is a collection of Math in the News stories that focus on the topic of Data Analysis.

 

 

 
Data Analysis, Data Gathering, Probability, Percents and Ratios and Rates
Math in the News Math in the News Collection: Business Math

Overview

This is a collection of issues of Math in the News that deal with business applications.

 

 

 
Applications of Exponential and Logarithmic Functions, Data Analysis and Volume
Animated Math Clip Art Halloween Math Collection

Overview

This is a collection of Halloween-themed math clip art and other resources. There are more than 40 resources. To see the complete collection of Math Clip Art, click on this link.

 

3-Dimensional Figures, Applications of 3D Geometry, Numerical Expressions, Even and Odd Numbers, Ratios and Rates, Counting, Data Analysis and Divide by 1-Digit Numbers
Collection Systems of Equations: Math in the News Here are several issues of Math in the News that deal with applications of Systems of Equations. Applications of Linear Systems, Data Analysis and Applications of Quadratic Functions
Closed Captioned Video: TI-Nspire Mini-Tutorial: Graphing a Box-and-Whisker Plot Closed Captioned Video: Box-and-Whisker Plot Closed Captioned Video: Box-and-Whisker Plot

In this TI Nspire tutorial the Spreadsheet and Statistics windows are used to create a box-and-whisker plot. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

Data Analysis
Closed Captioned Video: TI-Nspire Mini-Tutorial: Graphing a Multiseries Scatterplot Using a Graphs and Geometry Window Closed Captioned Video: Multiseries Scatterplot Closed Captioned Video: Multiseries Scatterplot

In this TI Nspire tutorial, Spreadsheet and Graph windows are used to graph a multiseries scatterplot. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet.

This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Video Transcripts

This video has a transcript available. To see the complete collection of video transcripts, click on this link.
Data Analysis
Closed Captioned Video: TI-Nspire Mini-Tutorial: Graphing a Scatterplot Using a Graphs and Geometry Window Closed Captioned Video: Scatterplot 1 Closed Captioned Video: Scatterplot 1

In this TI Nspire tutorial, Spreadsheet and Graph windows are used to graph a scatterplot. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet.

This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Video Transcripts

This video has a transcript available. To see the complete collection of video transcripts, click on this link.
Data Analysis
Closed Captioned Video: TI-Nspire Mini-Tutorial: Graphing a Scatterplot Using a Statistics Window Closed Captioned Video: Scatterplot 2 Closed Captioned Video: Scatterplot 2

In this TI Nspire tutorial, Spreadsheet and Statistics windows are used to graph a scatterplot. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet.

This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Video Transcripts

This video has a transcript available. To see the complete collection of video transcripts, click on this link.
Data Analysis
Closed Captioned Video: TI-Nspire Mini-Tutorial: Creating a Histogram Closed Captioned Video: Creating a Histogram Closed Captioned Video: Creating a Histogram

In this TI Nspire tutorial, the Spreadsheet and Statistics windows are used to create a histogram. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Video Transcripts

This video has a transcript available. To see the complete collection of video transcripts, click on this link.
Data Analysis
Closed Captioned Video: TI-Nspire Mini-Tutorial: Finding the Mean of a Data List Closed Captioned Video: Mean of a Data List Closed Captioned Video: Mean of a Data List

In this TI Nspire tutorial, the Spreadsheet and Calculator windows are used to find the mean of a data list. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

Data Analysis
Closed Captioned Video: Measures of Central Tendency: Finding the Mean of a Data Set I Closed Captioned Video: Measures of Central Tendency: Finding the Mean of a Data Set I Closed Captioned Video: Measures of Central Tendency: Finding the Mean of a Data Set I

In this video tutorial students learn how to calculate the mean when all of the data items are positive numbers. Includes three real-world examples.

Data Analysis and Data Gathering
Closed Captioned Video: TI-Nspire Mini-Tutorial: Finding the Median of a Data List Closed Captioned Video: Median of a Data List Closed Captioned Video: Median of a Data List

In this TI Nspire tutorial, the Spreadsheet and Calculator windows are used to find the median of a data list. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

Data Analysis
Definition--Measures of Central Tendency Definition--Measures of Central Tendency Measures of Central Tendency

Topic

Statistics

Definition

The measures of central tendency is a measure of central tendency that provides an average representation of a set of data.

Description

The Measures of Central Tendency is an important concept in statistics, used to summarize data effectively.

In real-world applications, the Measures of Central Tendency 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
Definition--Measures of Central Tendency--Average Definition--Measures of Central Tendency--Average Average

Topic

Statistics

Definition

The average is a measure of central tendency, calculated by dividing the sum of values by their count.

Description

In statistics, the average is crucial for analyzing data sets, revealing trends, and providing insight into overall performance. It’s applicable in various fields, from school grades to business metrics. For example, if a student scores 80, 90, and 100 on three exams, the average can be calculated as follows: Average = (80 + 90 + 100) / 3 = 90. The average is essential in math education as it forms a foundational concept for more advanced statistical analyses.

Data Analysis
Definition--Measures of Central Tendency--Average Speed Definition--Measures of Central Tendency--Average Speed Average Speed

Topic

Statistics

Definition

Average speed is the total distance traveled divided by the total time taken.

Description

This concept finds application in areas such as physics, transport, and everyday scenarios like calculating travel time. For example, if a car travels 300 km in 3 hours, the average speed is Average Speed = 300 km / 3 hours = 100 km/h. Understanding average speed is key in mathematics as it helps contextualize rate and distance problems in real-life situations.

Data Analysis
Definition--Measures of Central Tendency--Box-and-Whisker Plot Definition--Measures of Central Tendency--Box-and-Whisker Plot Box-and-Whisker Plot

Topic

Statistics

Definition

A box-and-whisker plot is a graphical representation of data that displays the distribution through quartiles.

Description

Box-and-whisker plots are useful for visualizing the spread and skewness of a data set, highlighting the median, quartiles, and potential outliers. They are particularly valuable in comparing distributions across different groups. In real-world applications, box plots are used in quality control processes and in analyzing survey data to identify trends and anomalies.

Data Analysis
Definition--Measures of Central Tendency--Categorical Data Definition--Measures of Central Tendency--Categorical Data Categorical Data

Topic

Statistics

Definition

Categorical data refers to data that can be divided into specific categories or groups.

Description

Categorical data is essential for organizing and analyzing information that falls into distinct categories, such as gender, race, or product type. This type of data is often used in market research, social sciences, and public health studies to identify patterns and relationships between groups. In mathematics, understanding categorical data is crucial for interpreting bar charts, pie charts, and frequency tables.

Data Analysis
Definition--Measures of Central Tendency--Continuous Data Definition--Measures of Central Tendency--Continuous Data Continuous Data

Topic

Statistics

Definition

Continuous data is numerical data that can take any value within a range.

Description

Continuous data is vital for representing measurements such as height, weight, and temperature, which can assume an infinite number of values within a given range. In real-world applications, continuous data is used in fields like engineering, physics, and economics to model and predict outcomes. Understanding continuous data is essential for performing calculations involving integrals and derivatives in calculus.

Data Analysis
Definition--Measures of Central Tendency--Discrete Data Definition--Measures of Central Tendency--Discrete Data Discrete Data

Topic

Statistics

Definition

Discrete data consists of countable values, often represented by whole numbers.

Description

Discrete data is commonly used in situations where data points are distinct and separate, such as the number of students in a class or the number of cars in a parking lot. It is crucial for fields like computer science, where discrete structures and algorithms are fundamental. In mathematics, discrete data is used in probability theory and combinatorics, helping to solve problems involving permutations and combinations.

Data Analysis
Definition--Measures of Central Tendency--Geometric Mean Definition--Measures of Central Tendency--Geometric Mean Geometric Mean

Topic

Statistics

Definition

The geometric mean is the nth root of the product of n numbers, used to calculate average rates of growth.

Description

The geometric mean is particularly useful in finance and economics for calculating compound interest and growth rates. Unlike the arithmetic mean, it is appropriate for data sets with values that are multiplicatively related. For example, the geometric mean of 2, 8, and 32 is calculated as (2 × 8 × 32)1/3 = 8. In mathematics, the geometric mean is essential for understanding exponential growth and decay.

Data Analysis
Definition--Measures of Central Tendency--Histogram Definition--Measures of Central Tendency--Histogram Histogram

Topic

Statistics

Definition

A histogram is a graphical representation of data distribution using bars of different heights.

Description

Histograms are used to visualize the frequency distribution of continuous data, making it easier to identify patterns and trends. They are widely used in fields such as economics, biology, and engineering to analyze data distributions and detect anomalies. In mathematics, histograms are essential for understanding probability distributions and statistical inference.

Data Analysis
Definition--Measures of Central Tendency--Interquartile Range Definition--Measures of Central Tendency--Interquartile Range Interquartile Range

Topic

Statistics

Definition

The interquartile range (IQR) is the range between the first and third quartiles, representing the middle 50% of a data set.

Description

The IQR is a measure of statistical dispersion, indicating the spread of the central portion of a data set. It is particularly useful for identifying outliers and understanding the variability of data. In real-world applications, the IQR is used in finance to assess investment risks and in quality control to monitor process stability.

Data Analysis
Definition--Measures of Central Tendency--Lower Quartile Definition--Measures of Central Tendency--Lower Quartile Lower Quartile

Topic

Statistics

Definition

The lower quartile (Q1) is the median of the lower half of a data set, representing the 25th percentile.

Description

The lower quartile is a measure of position, indicating the value below which 25% of the data falls. It is used in conjunction with other quartiles to understand the distribution and spread of data. In real-world applications, the lower quartile is used in finance to assess the performance of investments and in education to evaluate student achievement levels.

Data Analysis
Definition--Measures of Central Tendency--Mean Definition--Measures of Central Tendency--Mean Mean

Topic

Statistics

Definition

The mean is a measure of central tendency that provides an average representation of a set of data.

Description

The 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
Definition--Measures of Central Tendency--Median Definition--Measures of Central Tendency--Median Median

Topic

Statistics

Definition

The median is a measure of central tendency that provides the middle value of a data set..

Description

The 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
Definition--Measures of Central Tendency--Median of an Even Data Set Definition--Measures of Central Tendency--Median of an Even Data Set Median of an Even Data Set

Topic

Statistics

Definition

The median of an even data set is the mean of two of the terms.

Description

The Median is the middle term of a data set. If the data set consists of an even number of terms, then the Median won't be one of ther terms in the set. In such a case the Median is the Mean of the two middle terms. 

Data Analysis