Illustrative Math Alignment: Grade 6 Unit 9

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

Topic

Statistics and Probability

Definition

A compound event in probability is an event that consists of two or more simple events.

Description

Compound events are important in probability as they allow for the calculation of the likelihood of multiple events occurring together, which is applicable in areas like risk assessment and decision-making. Understanding compound events helps students develop skills to analyze complex scenarios and calculate probabilities effectively.

Topic

Statistics and Probability

Definition

A probability model is a mathematical representation of a random phenomenon.

Description

Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

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.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

Topic

Statistics and Probability

Definition

A random sample is a subset of individuals chosen from a larger population, selected in such a way that every individual has an equal chance of being chosen.

Description

Random sampling is a critical technique in statistics that helps ensure the representativeness of a sample by minimizing bias. It is widely used in survey research to ensure that the data collected reflects the diversity and characteristics of the entire population.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

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.

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.

Topic

Statistics and Probability

Definition

A statistic is a numerical measure that describes a characteristic of a sample.

Description

Statistics are vital in summarizing and analyzing data, providing insights into trends and patterns. They are used in various fields, including healthcare, to determine the effectiveness of treatments, or in business to assess consumer preferences.

Understanding statistics is essential for students to interpret data accurately and make informed decisions based on statistical evidence. This knowledge forms the basis for more advanced statistical studies and applications.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

Related Resources

Worksheet Library

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.

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.

Topic

Statistics and Probability

Definition

Conditional probability is the probability of an event occurring given that another event has already occurred.

Description

Conditional probability is used in statistics to refine predictions and is essential in fields like epidemiology and finance.

For example, the probability of drawing a red card given that is a face card is drawn is a conditional probability.

Understanding conditional probability is crucial for students to analyze dependent events and make informed predictions.

Topic

Statistics and Probability

Definition

Correlation measures the strength and direction of a linear relationship between two variables.

Description

Correlation is widely used in statistics to assess the relationship between variables, such as height and weight, and is applicable in fields like economics, psychology, and biology.

A positive correlation indicates that as one variable increases, the other also increases.

Understanding correlation helps students make predictions and understand data trends.

Topic

Statistics and Probability

Definition

Correlation measures the strength and direction of a linear relationship between two variables.

Description

Correlation is widely used in statistics to assess the relationship between variables, such as height and weight, and is applicable in fields like economics, psychology, and biology.

A positive correlation indicates that as one variable increases, the other also increases.

Understanding correlation helps students make predictions and understand data trends.

Topic

Statistics and Probability

Definition

A dependent event is an event whose outcome is influenced by the outcome of a preceding event.

Topic

Statistics and Probability

Definition

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

Description

Histograms 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.

Topic

Statistics and Probability

Definition

An independent event is an event whose outcome is not affected by the outcome of another event.

Description

Independent events are a key concept in probability, where the occurrence of one event does not influence another. This principle is applied in various fields, such as quality control, where the failure of one product does not affect others. Understanding independent events is essential for students to accurately calculate probabilities and analyze situations where events occur without influencing each other.