# probability and statistics

## Representing Probabilities: Medical Testing

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
9, 10, 11, 12
High (9-12)

This lesson unit is intended to help you assess how well students are able to:

• Make sense of a real life situation and decide what math to apply to the problem.
• Understand and calculate the conditional probability of an event A, given an event B, and interpret the answer in
• ...

## Representing Data with Frequency Graphs

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
9, 10, 11, 12
High (9-12)

This lesson unit is intended to help you assess how well students:

• Are able to use frequency graphs to identify a range of measures and make sense of this data in a real-world context.
• Understand that a large number of data points allow a frequency graph to be approximated
• ...

## Representing Data with Box Plots

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
9, 10, 11, 12
High (9-12)

This lesson unit is intended to help you assess how well students are able to interpret data using frequency graphs and box plots. In particular this unit aims to identify and help students who have difficulty figuring out the data points and spread of data from frequency graphs and box plots....

## Interpreting Data: Muddying the Waters

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
9, 10, 11, 12
High (9-12)

This lesson unit is intended to help you assess how well students are able to:

• Interpret data and evaluate statistical summaries.
• Critique someone else’s interpretations of data and evaluations of statistical summaries.

The lesson also introduces students to the...

## Devising a Measure: Correlation

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
9, 10, 11, 12
High (9-12)

This lesson unit is intended to help you assess how well students understand the notion of positive correlation. In particular this unit aims to identify and help students who have difficulty in:

• Understanding correlation as the degree of fit between two variables.
• Making a
• ...

## Using Data: Testing a New Product

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
8
Middle (6-8)

This lesson unit is intended to help you assess how well students are able to organize, represent and analyze bivariate categorical data in an appropriate way. In particular this unit aims to identify and help students who have difficulty in:

• Choosing a suitable, systematic way to
• ...

## Interpreting and Using Data: Setting Taxi Fares

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
8
Middle (6-8)

This lesson unit is intended to help you assess how well students are able to select and use mathematical ideas to solve a problem and then compare and critique alternative approaches. The lesson presents students with a distance-time scatter plot representing journeys made by a taxi cab. They...

## Sampling and Estimating: Counting Trees

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
7
Middle (6-8)

This lesson unit is intended to help you assess how well students are able to:

• Solve simple problems involving ratio and direct proportion.
• Choose an appropriate sampling method.
• Collect discrete data and record them using a frequency table.

MARS, Shell Center, University of Nottingham
Mathematics
7
Middle (6-8)

This lesson unit addresses common misconceptions relating to the probability of simple and compound events. The lesson will help you assess how well students understand concepts of:

• Equally likely events.
• Randomness.
• Sample size.

## Designing: A Game of Chance

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
7
Middle (6-8)

This lesson unit is intended to help students to:

• Understand the connection between relative frequency and probability.
• Gain experience of designing and carrying out a probability experiment.
• Calculate a theoretical probability for a practical scenario.

## Comparing Data Using Statistical Measures

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
7
Middle (6-8)

This lesson unit is intended to help students to make meaningful comparisons between sets of data. In particular, students will develop their abilities in the following areas:

• Selecting appropriate measures of center and variability in order to summarize the important features of a
• ...

## Analyzing Games of Chance

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
7
Middle (6-8)

This unit is designed to help students to:

• Confront and overcome common probability misconceptions.
• Count equally likely outcomes using diagrams.
• Discuss relationships between theoretical probabilities, observed outcomes, and sample sizes.
• Calculate
• ...

## Representing Variability with Mean, Median, Mode, and Range

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
6
Middle (6-8)

This lesson unit is intended to help you assess how well students are able to:

• Calculate the mean, median, mode, and range from a frequency chart.
• Use a frequency chart to describe a possible data set, given information on the mean, median, mode, and range.

## Representing Data With Grouped Frequency Graphs and Box Plots

MARS, Shell Center, University of Nottingham
Mathematics
Statistics
6
Middle (6-8)

This lesson unit is intended to help you assess how well students are able to interpret frequency graphs that use grouped data and their associated box plots. In particular this unit aims to identify and help students who have difficulty interpreting information from frequency graphs and box...

## Four Cities

Certified
Achieve
Science
6, 7
Middle (6-8)

In this task, students will demonstrate their ability to describe and interpret plotted climate data to explain the reasons for differences in climate among four different United States cities: Seattle, Washington; San Francisco, California; Minneapolis, Minnesota; and Las Vegas, Nevada. The...

## Regression Project

Summit Public Schools
Mathematics
Statistics
11, 12

In this task, each student produces a paper and a final presentation in which he/she analyzes a regression model for a bivariate data set of their choice and argues the extent to which reliable predictions can be made with their models.

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