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Plan-Do-Study-Act (PDSA) Worksheet

The Plan-Do-Study-Act (PDSA) Worksheet is a useful quality improvement tool for documenting a test of change.

• PDSA Worksheet instructions, example, and template

Note: Spanish and Portuguese translations of this tool also available for download.

The Plan-Do-Study-Act (PDSA) Worksheet is a useful quality improvement tool for documenting a test of change. The PDSA cycle, an essential component of the Model for Improvement , is shorthand for testing a change by developing a plan to test the change (Plan), carrying out the test (Do), observing and learning from the consequences (Study), and determining what modifications should be made to the test (Act).

Use the Plan-Do-Study-Act (PDSA) Worksheet to help your team document a test of change. Fill out one PDSA Worksheet for each test you conduct. Your team will test several different changes, and each change will go through several PDSA cycles. Keep a file (either electronic or hard copy) of all PDSA Worksheets for all changes your team tests.

*NOTE: Before filling out the template, first save the PDF file to your computer. Then open and use that version of the tool. Otherwise, your changes will not be saved.

PDSA Cycles, Parts 1 and 2

Model for Improvement, Parts 1 and 2

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Analysing and Interpreting Data

This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of analysing and interpreting data, from reading information from a bar chart to interpreting cumulative frequency graph.

Analysing and interpreting data pack one  contains ten work cards with a wide variety of activities covering reading data from charts, practical activities to collect data, finding the mode, the median and the mean of a data set, and using statistics to break a code.

Analysing and interpreting pack two  contains eight work cards with activities requiring students to use and interpret frequency graphs, analyse a data set, explore what is mean by the term ‘average’, group data, find the modal group, and use cumulative frequency curves.

SMILE (Secondary Mathematics Individualised Learning Experiment) was initially developed as a series of practical activities for secondary school students by practising teachers in the 1970s. It became a complete individualised scheme based around a network of activity cards and assessments. Related resources include answers  to all of the cards and test books and answers .

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Statistics and Data Analysis Worksheets

The key to growth is to bring order to chaos. Learn to organize data with the statistics worksheets here featuring exercises to present data in visually appealing pictographs, line graphs, bar graphs and more. Determine the mean, median, mode and also find worksheets on permutation, combination, probability and factorials to mention a few.

List of Statistics and Data Analysis Worksheets

• Average or Mean
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Tally Mark Worksheets

Let's go back in history and learn a fun way to count with this batch of Tally worksheets, featuring colorful and engaging activities to count and read tally marks, spinner board activities, classifying and counting tally marks, word problems and a lot more.

Pictograph Worksheets

The assemblage here provides interesting printable pictograph worksheets with themed activities to present or interpret information in the form of pictures. Find tasks like drawing and comprehending a pictograph, counting and grouping pictures with varied levels of difficulty.

Line plot Worksheets

This collection of line plot worksheets provides plenty of engaging activities that emphasize on making, comprehending and interpreting line plots and also provide ideas for surveys. Templates are included for children to take up surveys of their interest.

Bar graph Worksheets

The meticulously designed bar graph worksheets here, grab the attention of the learners with colorful pictures and interesting themes. Learn to draw and read bar graphs, double bar graphs, write titles, label axis, make a scale and represent data as bar graphs to mention a few.

Line graph Worksheets

Build your skills with this set of line graph worksheets to analyze and interpret line graphs. Enrich your knowledge with activities like drawing line graphs, interpreting line graphs, double line graphs with appropriate scales, titles and labelled axis.

Pie graph Worksheets

Focusing on pie graphs or circle graphs, these printable worksheets involve exercises to observe, visualize and comprehend pie graphs, convert percentages, whole numbers, fractions to pie graphs and vice-versa, drawing pie graphs with 30° increment, using a protractor to draw a pie graph and a lot more.

Average or Mean Worksheets

Check out this extensive range of mean worksheets encompassing exercises to find the arithmetic mean of whole numbers and decimals with varied levels of difficulty, calculate the mean with practical units, find the average and more.

Mean, Median, Mode and Range Worksheets

This array of mean, median, mode worksheets covers the most important aspect of statistics, comprising exercises to determine the mean, median, mode, average, quartiles and range to mention a few. Interesting word problems to apply the concept have also been enclosed.

Mean Absolute Deviation Worksheets

This collection of mean absolute deviation (MAD) worksheets comprises exercises in tabular format and as word problems involving 2-digit, 3-digit and decimal data values. Find the mean, absolute deviation and average absolute deviation using the mean absolute deviation formula. Learn comparing two data sets as well.

Stem and Leaf Plot Worksheets

The stem and leaf plot worksheets here offer an innovative way to organize and plot data. Consisting of umpteen exercises like making and interpreting Stem and Leaf plots, back to back plots, truncate and round off to make a plot, the worksheets help in visualizing the distribution of data.

Box and Whisker Plot Worksheets

Utilize this assemblage of box and whisker plot worksheets to make and interpret box and whisker plots and to summarize a set of data. A wide range of exercises to find the five number summary, quartiles, range, inter-quartile range, outliers and word problems have been included here.

Venn Diagram Worksheets

Learn to interpret and create Venn diagrams with a variety of exercises in two or three sets, shade the union or intersection, name the shaded portions, write the set notations, complete the Venn diagram and more.

Factorial Worksheets

This collection of factorial worksheets introduces factorials and encompasses ample exercises to write the factorial in a product form or vice-versa, simplify and evaluate factorial expressions to hone your skills.

Permutation Worksheets

Figure out the possible ways of arranging a list of objects or events with this exclusive set of Permutation worksheets; packed with intriguing exercises such as listing the number of permutations, finding the number of unique permutations, evaluating expressions and solving equations involving permutations.

Combination Worksheets

This cluster of combination worksheets deals solely with exercises involving combination, like listing out the combinations, finding the number of combinations, evaluating and solving combinations. Real-world scenarios and a multitude of exercises help students master combinations with ease.

Probability Worksheets

Access a vast collection of probability worksheets involving exercises on probability, covering varied levels of difficulty. Find exercises to identify the sample space, likely and unlikely outcomes of an event, spinner problems, probability with single and double coins, pair of dice, deck of cards to mention a few.

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KS3 Data Collection & Presentation (MEP– Y7– U11)

Subject: Mathematics

Age range: 11-14

Resource type: Lesson (complete)

Last updated

4 February 2014

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Lesson Plan: 2021 World Population Data Sheet

An excellent reference and data analysis tool for teachers using the Data Sheet for a variety of topics and activities.

August 16, 2021

Teacher Resources

PDF. Lesson Plan. 2021 World Population Data Sheet

PowerPoint. Lesson Plan 2021 World Population Data Sheet

2021 World Population Data Sheet

PRB’s World Population Data Sheet is an excellent reference and data analysis tool. Teachers are encouraged to have their students use the Data Sheet for a variety of topics and activities. The following series of short activities allows students to access a wealth of data on the world, regions, and individual countries, and develop their data literacy skills and knowledge of geography. Two versions of this lesson plan are available for download: a Word document and a PowerPoint presentation.

These activities may also be used with PRB’s International Data Center ( https://www.prb.org/international/ ), which houses all the data from the most recent World Population Data Sheet except net migration. Data can be accessed and displayed as a map or table and downloaded. PRB’s  Population Handbook , 6th edition (2011) is also a valuable resource.

Grade Level 6–12.

Time Required One class period for each activity.

Standards Addressed Math and geography.

Vocabulary/Concepts Population size, birth rate, death rate, GNI, infant mortality rate, total fertility rate, life expectancy, age distribution.

• All activities: Using the 2021 World Population Data Sheet ( PDF : 2.5MB )
• Activity 2: County Profile Worksheet (PDF: 23KB)
• Activity 3: Country Outline Map (PDF: 94KB) Country outline maps for classroom use, including those for individual world regions, may be found online in a number of places.

ACTIVITY 1: PRB’S WORLD POPULATION DATA SHEET AT A GLANCE

Learning objectives.

• Select a country’s population characteristics using the World Population Data Sheet.
• Identify countries that rank highest/lowest in a population indicator.

Find answers to the following questions using the current World Population Data Sheet.

• What is the population of the world?
• Rank the 10 countries with the largest populations , from largest to smallest.
• Rates are often used instead of absolute numbers to tell how frequently a population or demographic event occurs. Rates show how common an event is (often expressed as per 1,000 people). List the type of information on the World Population Data Sheet reported by a rate.
• The death rate is the annual number of deaths per 1,000 population. Which country (or countries) has the highest death rate? Which country (or countries) has the lowest death rate?
• The infant mortality rate measures the number of deaths each year to infants under one year of age per 1,000 live births. Which country (or countries) has the highest infant mortality rate and what is that rate? Which country (or countries) has the lowest and what is that rate?
• The total fertility rate (TFR) is the average number of children women would have if they maintained the current level of childbearing throughout their reproductive years. Which countries (or countries) share the highest TFR and what is it? Which country (or countries) has the lowest TFR? What is it?
• Which country (or countries) has the youngest population—that is, the highest share of population under age 15 ? Which country (or countries) has the oldest population—the highest share of population ages 65 and older ?
• In which country (or countries) are women expected to live the longest at birth? Where are men expected to live the longest at birth? Which country (or countries) has the lowest life expectancy for women at birth? Where do men have the lowest life expectancy at birth?
• Which country (or countries) has the highest share of people living in urban areas in… Africa? Asia? Europe? Latin America and the Caribbean? Northern America? Oceania?
• Gross national income in purchasing power parity per capita (GNI PPP) converts income into “international” dollars and indicates the amount of goods and services one could buy in the United States with a given amount of money. Which country (or countries) is the wealthiest in terms of GNI PPP? Which is the second wealthiest?
• A population projection is a computation of future changes in population numbers based on assumptions about future trends in fertility, mortality, and migration. Which categories on the World Population Data Sheet are shown as projections?
• Rank the 10 countries with the largest projected populations for both mid-2035 and mid-2050 from largest to the smallest. Which country’s (or countries’) population is projected to drop out of the top 10 by mid-2050 ? Which will be added to the top 10? Look back to the rankings for the current year. What are the major shifts in this ranking from now to mid-2050 ?
• Rank the regions according to population size from largest to the smallest.
• What share of the world’s people lives in… Africa? Asia? Europe? Northern America? Latin America and the Caribbean? Oceania? What are the projected population shares for these regions? Draw a bar chart showing the regional distributions of the world’s population for this year , mid-2035 , and mid-2050 .
• What share of the world’s people live in less-developed countries (LDCs) in the current year ? In more-developed countries (MDCs)? What share of the world’s people is projected to live in LDCs in mid-2035 ? In mid-2050 ? What share is projected to live in MDCs in mid-2035 ? In mid-2050 ?

ACTIVITY 2: PROFILE A COUNTRY

• Practice organizing a country’s population information into a country profile.
• Hypothesize about the data in the country profile.

The purpose of this activity is to introduce students to the demographic indicators listed on the Data Sheet by providing them with a tool to organize population information about a country. As students study different countries they can accumulate country profiles in their notebook. Students will need to use the  World Population Data Sheet  and the  Country Profile Worksheet .

Note : The rate of natural increase is the rate at which a population is increasing (or decreasing) in a given year because of a surplus (or deficit) of births over deaths, expressed as a percentage of the base population. To calculate the rate , subtract death rates from birth rates, and then divide by 10. This rate does not include the effects of immigration or emigration.

• In the Country Profile Worksheet, complete the profile of the United States. Define the indicators as they are mapped out on the worksheet. After completing the country comparison blocks, discuss.
• Complete a new Country Profile Worksheet for every country you study. Before you begin: Develop a hypothesis about the country’s population characteristics and use the mapping activity (Activity 3) to test your hypothesis. Compare each new country’s profile with the profile of the United States.

As students learn more about the country, they can add other information from the Data Sheet (or other sources) to their profiles.

This lesson was adapted from a lesson developed by Jane Moriarty of the Michigan Geographic Alliance.

ACTIVITY 3: MAP THE DATA

• Illustrate countries’ selected population characteristics on a map.
• Compare the illustrated population characteristics of selected countries.

Mapping data is often a good method for analysis. Most of the demographic characteristics on the World Population Data Sheet lend themselves to mapping.

A map that uses color to represent quantitative data is called a choropleth map . Areas are distinguished from one another using different colors or different shades of the same color based on the values they represent. Brighter colors or dark shades of the same color indicate greater values and dimmer colors or lighter shades indicate lesser values.

Resource : PRB’s International Data Center ( https://www.prb.org/international/ ) is particularly useful for this activity. It includes all the data from the most recent World Population Data Sheet except net migration. Data can be displayed as a map or table and downloaded.

Create a Choropleth Map: Country Outline Map

Choose one of the following demographic indicators using the World Population Data Sheet and map the world or regional distribution of that indicator on a  world or regional country outline map :

Determine the mapping categories by finding the range of values for that indicator. Identify the number of categories to be used for your map and the interval of each category. For example:

• After choosing the variable, determine the highest and lowest values for that measure.
• Subtract these two numbers to calculate the range for the data.
• Divide the range by the number of mapping categories planned for the map. Four to five categories will be adequate for most measures. The number produced by the division will indicate how many numbers to include in each category interval.
• Always construct categories so that the numbers in one category do not overlap those in adjacent categories.
• Arrange a color code or shading pattern for each category. Colors or patterns should increase from light to dark, from lowest to highest category.
• Determine the proper mapping category for each country and color or shade the country on an outline map. Title the map, place a legend on the page, and indicate the source.

Interpret the Map

After the map has been drawn, interpret it using the following as a guide:

• Describe the patterns observed on the map.
• What accounts for the variation?
• Discuss the factors that could lead to the range of outcomes within this distribution.

Draw Another Map

Draw another map to examine the relationships that may exist between two variables or compare results with another student who has mapped a different variable. Possible pairs of variables to compare:

• Infant Mortality Rate—Life Expectancy (Males or Females)
• Infant Mortality Rate—GNI per Capita, PPP
• Death Rate—Percent of Population Under Age 15
• Birth Rate—Percent of Population Ages 65 and Older

Engage With the Data

• Does there appear to be a relationship between the two variables mapped? If so, is the relationship positive of negative? For example, are the countries with the highest rates of one variable the same countries with the highest rates of the other variable? If yes, the relationship is positive. If not, the relationship is negative.
• Discuss whether the factors that contribute to the patterns in one variable affect the patterns in another.

This activity was adapted from exercises submitted by Eugene J. Kinerney of the University of the District of Columbia and Basheer K. Nijim of the University of Northern Iowa. The lesson plan was updated in 2021 by Nancy Matuszak, PRB.

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Our grade 3 data and graphing worksheets expand on early data collection, graphing and analyses skills . In particular, scaled graphs and more complex data sets are introduced.

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