Illustrative Math Alignment: Grade 6 Unit 8
Data Sets and Distributions
Lesson 3: Representing Data Graphically
Use the following Media4Math resources with this Illustrative Math lesson.
| Thumbnail Image | Title | Body | Curriculum Nodes |
|---|---|---|---|
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 10 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 10
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 11 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 11
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 12 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 12
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 13 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 13
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 1 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 1
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 2 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 2
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 3 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 3
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 4 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 4
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 5 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 5
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 6 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 6
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 7 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 7
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 8 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 8
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 9 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 9
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 10 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 10
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 11 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 11
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 12 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 12
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
|
Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 13 | Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 13
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Subtraction Facts to 100 and Data Analysis |
|
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 1 | Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 1
In this Investigation we explore uncertainty and randomness. This video is Segment 1 of a 4 segment series related to Data Analysis and Probability. Segments 1 and 2 are grouped together. |
Data Analysis and Data Gathering |
|
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 3 | Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 3
In this Investigation we look at real-world data involving endangered wolf populations. This video is Segment 3 of a 4 segment series related to Data Analysis and Probability. Segments 3 and 4 are grouped together. |
Data Analysis and Data Gathering |
|
|
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 1 | Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 1
In this Investigation we explore uncertainty and randomness. This video is Segment 1 of a 4 segment series related to Data Analysis and Probability. Segments 1 and 2 are grouped together. |
Data Analysis and Data Gathering |
|
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability | Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability
What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis. |
Data Analysis and Data Gathering |
|
|
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 3 | Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 3
In this Investigation we look at real-world data involving endangered wolf populations. This video is Segment 3 of a 4 segment series related to Data Analysis and Probability. Segments 3 and 4 are grouped together. |
Data Analysis and Data Gathering |
|
|
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability | Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability
What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis. |
Data Analysis and Data Gathering |
|
Closed Captioned Video: Algebra Applications: Linear Functions, 3 | Closed Captioned Video: Algebra Applications: Linear Functions, 3TopicLinear Functions DescriptionUses linear regression to analyze US oil consumption trends, projecting future usage and potential impact of Alaskan oil production. This video explores the mathematics behind Linear Functions, providing clear examples and engaging visuals to enhance understanding. It is an excellent resource for both introduction and reinforcement of key concepts. |
Special Functions and Applications of Linear Functions |
|
Closed Captioned Video: Algebra Applications: Data Analysis, 4 | Closed Captioned Video: Algebra Applications: Data Analysis, 4TopicData Analysis DescriptionAdjustable-rate mortgages (ARMs) are discussed, focusing on their role in the 2008 crisis. It demonstrates how variable rates increase long-term costs and create financial risks. Concepts include loan balance, refinancing, and amortization. The video uses spreadsheets to show payment changes over time and their economic effects. Applications highlight real-world implications of rising interest rates and decreasing home values. |
Data Analysis and Data Gathering |
|
Closed Captioned Video: Algebra Applications: Data Analysis, 3 | Closed Captioned Video: Algebra Applications: Data Analysis, 3TopicData Analysis DescriptionThis segment explains subprime mortgages, emphasizing how credit scores affect loan interest rates. It compares repayment scenarios for borrowers with different FICO scores, showing the financial challenges of subprime loans. Key terms include subprime mortgage, credit risk, and delinquency. The video uses simulations to illustrate the likelihood and impact of loan defaults, linking these trends to the mortgage crisis. |
Data Analysis and Data Gathering |
|
Closed Captioned Video: Algebra Applications: Data Analysis, 2 | Closed Captioned Video: Algebra Applications: Data Analysis, 2TopicData Analysis DescriptionThe video defines a mortgage as a long-term loan used to purchase a home and explains its components: loan amount, interest rate, and payment periods. Through examples, it demonstrates how interest rates impact total loan costs. Key concepts include amortization, equity, and principal versus interest payments. Applications involve using financial calculators to analyze repayment schedules and equity growth, emphasizing the importance of interest rates. |
Data Analysis and Data Gathering |
|
Closed Captioned Video: Algebra Applications: Variables and Equations, 2 | Closed Captioned Video: Algebra Applications: Variables and Equations, 2TopicEquations DescriptionThe video investigates the geometry of river meanders using the concept of the meander ratio, calculated as the ratio of a river’s sinuous length to its straight-line length. It uses a TI-Nspire calculator to simulate river paths and compute ratios. Key vocabulary includes meander ratio, sinuous length, and geometric modeling. Applications highlight the mathematical modeling of natural phenomena and the occurrence of pi in nature. |
Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions |
|
Closed Captioned Video: Algebra Applications: Data Analysis | Closed Captioned Video: Algebra Applications: Data AnalysisTopicData Analysis |
Data Analysis and Data Gathering |
|
Closed Captioned Video: Algebra Applications: Data Analysis, 1 | Closed Captioned Video: Algebra Applications: Data Analysis, 1TopicData Analysis DescriptionThis segment introduces the 2008 mortgage crisis, explaining how mortgage defaults caused widespread economic repercussions, including a recession. It outlines basic mortgage concepts such as loan amount, interest rate, and repayment periods. Key terms include mortgage, interest rate, and amortization. The segment sets the stage for exploring how specific mortgage types, like subprime loans, led to financial instability. |
Data Analysis and Data Gathering |
|
Closed Captioned Video: Ratios and Rates: Rates from Data | Closed Captioned Video: Ratios and Rates: Rates from DataTopicRatios DescriptionThis video demonstrates calculating rates from data sets, focusing on patterns like distance-time relationships and wages. Examples include determining car speeds, hourly wages, and unit costs of gasoline. Data tables are used to visualize and compute rates. |
Ratios and Rates |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 7 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 7
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 1 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 1
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 2 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 2
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 3 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 3
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 4 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 4
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 5 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 5
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 10 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 10
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 9 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 9
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 8 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 8
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 6 | Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 6
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis |
|
Definition--Statistics and Probability Concepts--Conditional Relative Frequency | Conditional Relative FrequencyTopicStatistics and Probability DefinitionConditional relative frequency is the ratio of the frequency of a subset of data to the frequency of a condition. DescriptionConditional relative frequency is crucial in analyzing categorical data, helping to understand the distribution of data under specific conditions. For example, the frequency of students who pass a test given they have attended all classes is a conditional relative frequency. Understanding this concept helps students interpret data in surveys and experiments more accurately. |
Data Analysis |
|
Definition--Statistics and Probability Concepts--Relative Frequency Table | Relative Frequency TableTopicStatistics and Probability DefinitionA relative frequency table displays the proportion of total occurrences for each category of data. DescriptionRelative frequency tables are important in statistics as they summarize data in a way that makes it easy to analyze proportions and patterns within datasets. These tables allow for quick comparisons of different categories based on their frequency relative to the total. |
Data Analysis |
|
Definition--Statistics and Probability Concepts--Marginal Frequencies | Marginal FrequenciesTopicStatistics and Probability DefinitionMarginal frequencies are the totals of rows or columns in a contingency table, representing the sum of joint frequencies for each category. DescriptionMarginal frequencies provide insight into the overall distribution of each variable in a dataset. They are crucial in fields like epidemiology, where understanding the marginal distribution of diseases can inform public health strategies. For students, comprehending marginal frequencies is essential for summarizing data and drawing conclusions about the prevalence of certain characteristics within a population. |
Data Analysis |
|
Definition--Statistics and Probability Concepts--Joint Frequencies | Joint FrequenciesTopicStatistics and Probability DefinitionJoint frequencies refer to the counts of occurrences for combinations of two categorical variables. DescriptionIn statistics, joint frequencies are used to analyze the relationship between two categorical variables, often displayed in a contingency table. This analysis is vital in fields such as market research, where understanding the joint distribution of consumer preferences can inform product development. For students, learning about joint frequencies is important for interpreting data from surveys and experiments, allowing them to explore relationships between variables effectively. |
Data Analysis |
|
Math Clip Art--Statistics and Probability-- Statistical Variability--9 | Math Clip Art--Statistics and Probability-- Statistical Variability--9
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering |
|
Math Clip Art--Statistics and Probability-- Statistical Variability--5 | Math Clip Art--Statistics and Probability-- Statistical Variability--5
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering |
|
Math Clip Art--Statistics and Probability-- Statistical Variability--6 | Math Clip Art--Statistics and Probability-- Statistical Variability--6
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering |
|
Math Clip Art--Statistics and Probability-- Statistical Variability--7 | Math Clip Art--Statistics and Probability-- Statistical Variability--7
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering |
|
Math Clip Art--Statistics and Probability-- Statistical Variability--8 | Math Clip Art--Statistics and Probability-- Statistical Variability--8
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering |
