Illustrative Math Alignment: Grade 7 Unit 8

Probability and Sampling

Lesson 20: Memory Test

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Definition--Measures of Central Tendency--Variance	Variance Topic Statistics Definition Variance is a measure of the dispersion of a set of values, calculated as the average of the squared deviations from the mean. Description Variance quantifies the degree of spread in a data set, providing insight into the variability of data points around the mean. It is a fundamental concept in statistics, used in fields such as finance, research, and engineering to assess risk and variability. A high variance indicates greater dispersion, while a low variance suggests that data points are closer to the mean.	Data Analysis
Definition--Measures of Central Tendency--Weighted Average	Weighted Average Topic Statistics Definition A weighted average is an average that takes into account the relative importance of each value, calculated by multiplying each value by its weight and summing the results. Description The weighted average is used when different data points contribute unequally to the final average. It is commonly applied in finance to calculate portfolio returns, in education to compute weighted grades, and in various fields where data points have different levels of significance. The weighted average provides a more accurate representation of data by considering the relative importance of each value.	Data Analysis
Definition--Measures of Central Tendency--Weighted Mean	Weighted Mean Topic Statistics Definition The weighted mean is the average of a data set where each value is multiplied by a weight reflecting its importance. Description The weighted mean is used when different data points contribute unequally to the final average. It is commonly applied in finance to calculate portfolio returns, in education to compute weighted grades, and in various fields where data points have different levels of significance. The weighted mean provides a more accurate representation of data by considering the relative importance of each value.	Data Analysis
Definition--Statistics and Probability Concepts--Addition Rule of Probability	Addition Rule of Probability Topic Statistics and Probability Definition The Addition Rule of Probability is a key concept in statistics that helps in understanding the interaction between different events. Description The Addition Rule of Probability is crucial in the field of statistics because it allows us to make informed decisions based on the relationships between variables. For instance, in real-world applications, this concept is essential in various fields such as economics, social sciences, and health studies. Understanding how events affect each other can lead to better predictions and strategies.	Data Analysis
Definition--Statistics and Probability Concepts--Bivariate Data	Bivariate Data Topic Statistics and Probability Definition Bivariate data involves the analysis of two variables to determine relationships between them. Description Bivariate data is essential in statistics as it allows for the exploration of relationships between two variables, such as height and weight. This analysis is used in various fields, including economics, biology, and social sciences, to understand correlations and causations. For example, a scatter plot can be used to visually represent bivariate data, helping to identify trends or patterns.	Data Analysis
Definition--Statistics and Probability Concepts--Causation	Causation Topic Statistics and Probability Definition Causation refers to the relationship between two events where one event is affected by the other. Description Causation is a fundamental concept in statistics that distinguishes between correlation and causation. Understanding causation is vital in fields like medicine and social sciences to establish cause-effect relationships. For example, clinical trials are designed to establish causation between treatments and outcomes. Grasping causation is important for students to critically evaluate research findings and understand the implications of statistical analyses.	Data Analysis
Definition--Statistics and Probability Concepts--Combination 1	Combination 1 Topic Statistics and Probability Definition A combination is a selection of items from a larger pool where order does not matter. Description Combinations are used in probability to determine the number of ways to select items from a set, which is crucial in fields like cryptography and game theory. The formula for combinations is where n is the total number of items, and r is the number of items to choose.	Data Analysis
Definition--Statistics and Probability Concepts--Conditional Relative Frequency	Conditional Relative Frequency Topic Statistics and Probability Definition Conditional relative frequency is the ratio of the frequency of a subset of data to the frequency of a condition. Description Conditional 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--Correlation Coefficient	Correlation Coefficient Topic Statistics and Probability Definition The correlation coefficient is a measure that quantifies the degree to which two variables are related.	Data Analysis
Definition--Statistics and Probability Concepts--Joint Frequencies	Joint Frequencies Topic Statistics and Probability Definition Joint frequencies refer to the counts of occurrences for combinations of two categorical variables. Description In 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
Definition--Statistics and Probability Concepts--Marginal Frequencies	Marginal Frequencies Topic Statistics and Probability Definition Marginal frequencies are the totals of rows or columns in a contingency table, representing the sum of joint frequencies for each category. Description Marginal 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--Multiplication Rule of Probability	Multiplication Rule of Probability Topic Statistics and Probability Definition The multiplication rule of probability is used to find the probability of two independent events both occurring. Description The multiplication rule is essential in probability for calculating the likelihood of multiple independent events occurring together. This rule is applied in fields such as genetics, where the probability of inheriting multiple traits is determined. For students, understanding the multiplication rule is crucial for solving problems involving the probability of compound events and for developing a deeper understanding of probability theory.	Data Analysis
Definition--Statistics and Probability Concepts--Permutation 1	Permutation 1 Topic Statistics and Probability Definition A permutation is an arrangement of items in a specific order. Description Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is	Data Analysis
Definition--Statistics and Probability Concepts--Population	Population Topic Statistics and Probability Definition A population is the entire group under consideration in a statistical study. Description Population is a fundamental concept in statistics, representing the complete set of individuals or items that share a common characteristic. Understanding a population is crucial for statistical analysis as it serves as the basis for sampling and inferential statistics.	Data Gathering
Definition--Statistics and Probability Concepts--Probability Notation	Probability Notation Topic Statistics and Probability Definition Probability notation is a standardized way of expressing probabilities. Description Probability notation provides a concise language for defining and communicating probabilities in mathematics. It helps in avoiding confusion in statistical communication. Common symbols include P(A) for the probability of event A occurring.	Data Analysis
Definition--Statistics and Probability Concepts--Relative Frequency Table	Relative Frequency Table Topic Statistics and Probability Definition A relative frequency table displays the proportion of total occurrences for each category of data. Description Relative 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--Residuals	Residuals Topic Statistics and Probability Definition Residuals are the differences between observed and predicted values in a dataset. Description In statistics, residuals are crucial for assessing the accuracy of predictions generated by statistical models. They represent the errors in prediction, providing insight into the model's performance and areas for potential improvement.	Data Analysis
Definition--Statistics and Probability Concepts--Statistical Distribution	Statistical Distribution Topic Statistics and Probability Definition A statistical distribution describes how values of a variable are distributed. Description Statistical distributions are fundamental in understanding data behavior and variability. They are used in various fields, such as finance, to model asset returns, or in biology, to understand population dynamics. Common distributions include normal, binomial, and Poisson distributions, each with its own properties and applications.	Data Gathering
Definition--Statistics and Probability Concepts--Statistical Variability	Statistical Variability Topic Statistics and Probability Definition Statistical variability refers to the extent to which data points in a dataset differ from each other and from the central value. Description Understanding variability is essential in statistics as it provides insights into the consistency and reliability of data. Measures of variability, such as range, variance, and standard deviation, help in assessing the spread of data points around a central value.	Data Gathering
Definition--Statistics and Probability Concepts--Two-Way Frequency Table	Two-Way Frequency Table Topic Statistics and Probability Definition A two-way frequency table displays the frequency of data points across two categorical variables. Description Two-way frequency tables are essential for analyzing the relationship between two categorical variables, often used in survey analysis to explore associations between different demographic factors. They help in identifying patterns and correlations within datasets.	Data Analysis
INSTRUCTIONAL RESOURCE: Pumpkin PI	In this Slide Show, do a hands-on geometry activity to measure π. Note: The download is a PPT file.	Ratios and Rates
Interactive Math Game--DragNDrop--The Point-Slope Form	Interactive Math Game--DragNDrop Math--The Point-Slope Form In this drag-and-drop game, match the linear equation in point-slope form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Point-Slope Form
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 02, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 02, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 02, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 02, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 02, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 02, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 03, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 03, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 03, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 03, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 03, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 03, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 04, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 04, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 04, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 04, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 04, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 04, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 05, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 05, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 05, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 05, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 05, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 05, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 06, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 06, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 06, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 06, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 06, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 06, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 07, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 07, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 07, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 07, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 07, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 07, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 08, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 08, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 08, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 08, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 08, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 08, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 09, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 09, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 09, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 09, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 09, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 09, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 10, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 10, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions