SCORE Mathematics

Statistics, Data Analysis and Probability

Lesson Title/Description

CA Standards
Links

NCTM Standards
Links

All Those Advertising Dollars
After getting information from advertising statistics available on the Internet, students will calculate percent increases (or percent decreases) for the top 25 companies in terms of advertising dollars spent during a year.

Gr 4: 1.1
Gr 5: 1.2
Gr 6: 1.1, 2.5
Gr 7: 1.1, 1.3

5-8: 1, 3, 4, 7, 10
9-12: 1, 3, 4, 10

Assorted Sports
(by area) You have played games all your life. You know some playing fields are larger than others. (Imagine playing football on a tennis court) You will discover the dimensions of the different sports and compute the area of the playing fields.

Gr 4: 1.3
Gr 5: 1.4

5-8: 1, 2, 3, 4, 5, 7, 8, 13

The Bigger They Are . . .
"Man, he really put his weight into that one!", "The only reason he gets more rebounds is because he is so tall!", "They don't cover him anymore because he is so old, that is why he catches so many passes! "Are any of these statements legitimate? The students will examine the league leaders in each of these categories to see if there is any truth to those statements.

Gr 4: 1.1, 1.3
Gr 5: 1.4
Gr 6: 2.3, 2.5
Gr 7: 1.2

5-8: 1, 2, 5, 7, 10, 13

Calculating Free-throw Percentages
Time has run out in the big basketball game, and the score is tied. However, Up-State College has the ball with time out. You're the coach. Which players should you put into the game to give you the best chance of winning? This is one in a series of on-line interactive pages exploring probability and statistics in real life. These lessons utilize on-line simulations to generate data.

Gr 6: 2.5, 3.2

5-8: 1, 3, 7, 10

California Here We Come!
A trip across the USA. Each team will choose any state capital on the east coast as their starting point. They will travel west stopping at each state capital along the way and record miles traveled. Each student group will create a chart or table showing the number of miles traveled from state capital to state capital and then total number of miles driven. Be the team to reach Sacramento, California with the fewest number of miles traveled to win the prize.

Gr 4: 1.2

5-8: 1, 2, 3, 7, 10

College Fund from Great Aunt Betty
Great Aunt Betty left you $1,000 to go towards your college fund. Now, you will be investing your new found money into a 30 month CD. The account will be automatic, since it will be done through the Web site. Your job will be to calculate the growth of your CD for seven years.

Gr 4: 1.1
Gr 5: 1.3
Gr 6: 3.1, 3.3

5-8: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Curve Fitting and the TI-85 calculator
This is a step-by-step guide for using the TI-85 Graphing Calculator to do scatter plots using data obtained from sources on the Internet. Some information will model linear functions and some will be models of exponential functions.

Gr 7: 1.2

9-12: 1, 3, 5, 6

Discovering Growth Patterns
The differences between linear and exponential growth functions is emphasized in this lesson. A student page instructs students to locate four specified sites on the Internet. After data is collected on the student worksheet, pattern predictions are made. Graphing the collected data is done using ClarisWorks spreadsheet or by using pencil and grid paper. Student description and analysis concludes the lesson.

Gr 7: 1.2

5-8: 1, 2, 3, 4, 5, 7, 8, 9

Does More Wins Mean More Fans At The Ballpark?
After getting information from the past baseball season off the Internet, students will calculate an attendance-to-win ratio for each of the 28 major league teams and then study the results to see if winning always leads to good attendance.

Gr 4: 1.3, 2.1
Gr 5: 1.2
Gr 6: 2.4, 2.5, 3.5

5-8: 1, 2, 3, 4, 5, 7
9-12: 1, 2, 3, 4

Exquisite Excursions
Students will locate 6 cities, one on each of the 6 major continents. They will find distance for each leg of their journey, convert to percents, use a time zone map, and convert to foreign currencies. The class will estimate the circumference of the earth and find the range, mean, median, mode(s) and possible outliers for the estimates.

Gr 4: 1.2
Gr 5: 1.1
Gr 6: 1.1

5-8: 1, 2, 5, 7, 10, 12

Graphing the Weather
Students will use the Internet to find a 5 day forecast and use the graphing page to graph that forecast.

Gr 4: 1.3
Gr 5: 1.2
Gr 6: 1.1

Hollywood's Top Ten
Students will gather data on the top 10 highest grossing movies, and make a bar graph and a pictogram.

Gr 7: 1.1, 1.3

5-8: 1, 2, 3, 4, 5, 6, 7
9-12: 1, 2, 3, 4, 10

How Many Different Ways
"How Many Different Ways" is a Discrete Mathematics Lesson where you will ultimately work on your addition and multiplication skills. Not only will there be a connection with counting, adding, and multiplying, but there will also be a connection made with Pascal's Triangle.

Gr 4: 2.1

K-4: 1, 3, 4, 11

It's Your Life
This is a 3 part lesson utilizing census data of the mean income of workers 18 years and older by education attainment levels. The data is also broken into gender and 3 ethnic groups - white, black, and Hispanic. Students will analyze census data to create graphs and take part in a simulation using this same data as a starting point to make financial decisions and budgets. Some familiarity with line and bar graphs is helpful.

Gr 6: 1.2, 1.3, 1.4, 2.1, 2.3, 2.5
Gr 7: 1.1

"M&Ms"® Candies Line Plots and Graphing
Using small individual bags of "M&Ms"® Candies, students will do activities including, estimating, sorting, graphing, mean, median, mode, and averaging.

Gr 4: 1.1, 1.2, 1.3, 2.1, 2.2
Gr 5: 1.1, 1.2, 1.3, 1.4
Gr 6: 1.1, 1.4, 2.1, 3.2
Gr 7: 1.1, 1.3

K-4: 1, 2, 4, 5, 6, 7, 8, 11, 12, 13
5-8: 1, 2, 4, 7, 8, 10, 11

Place Value Population - Rounding Off
Students start by collecting and rounding data about their school. They move on to gathering and rounding larger numbers from the Internet.

Gr 5: 1.2, 1.3
Gr 6: 2.1

K-4: 1, 3, 4, 12
5-8: 1, 3, 4, 7, 8, 9, 10

Population Ratios
An interdisciplinary project (mathematics, social studies) where students choose a county in the United States and using ratios convert the statistics into meaningful numbers.

Gr 5: 1.3
Gr 6: 3.1, 3.5

5-8: 1, 3, 4, 5, 7, 9, 10
9-12: 1, 3, 4, 5, 10

The Probability of Pintails
Many things are possible, but the chances of something's are even better than that. They are probable. Students use percentages to calculate the probability and probable number of various types of ducks in a wildlife refuge.

Gr 4: 2.1, 2.2
Gr 5: 1.3

K-4: 1, 2, 4, 8, 11, 12
5-8: 1, 2, 4, 5, 6, 7, 10, 11

Raisin Cane
California's San Joaquin Valley is the largest agricultural producing area in the world. Raisins are an important part of the valley's agriculture. This activity will prompt students to estimate and count how many raisins come in a box and then chart the results.

Gr 5: 1.1, 1.2, 1.3, 1.4
Gr 6: 1.1, 2.1, 2.3, 2.5, 3.2

K-4: 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13
5-8: 1, 2, 3, 4, 5, 7, 8, 10, 11, 13

Shopping for Toys
You have just won a $100 gift certificate to buy some toys! You must try to spend as much of it as you can without going over. Let's go shopping and have some fun!

Gr 2: 1.1
Gr 4: 1.1

K-4: 1, 2, 3, 4, 8, 12

Sorting Through Spiders
Children need extensive opportunities to think about, question, discuss and manipulate data in order to learn how to ask and answer the whys in mathematics. In this activity, children will utilize their own drawings of spiders to analyze and sort the attributes that each child drew. I leave it very open-ended for the students to choose the categories from which to sort.

Gr 2: 1.2, 1.4

Sports Teams & Math
How many of you like sports? How many of you would like to see how your favorite NFL football team is doing? Today we are going to look up NFL sports teams on the web and analyze their statistics.

Gr 4: 1.2
Gr 5: 1.1

State Internet Search: A Mathematical Introduction To State Reports
As a mathematical beginning to their state reports students complete a 2 day assignment which involves critical thinking, reasoning, graphing, and locating information on Web sites.

Gr 4: 1.3
Gr 5: 1.4
Gr 6: 2.1, 2.5

5-8: 1, 2, 3, 4, 7, 10

Surfing Amusement Parks
It's your birthday and your parents have given you the choice of going to any one of five amusement parks in California. There is just one catch! They have asked that you choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park. Graph your findings.

Gr 4: 1.1, 1.2
Gr 5: 1.1, 1.4
Gr 6: 1.1, 1.4, 2.3
Gr 7: 1.1, 1.3

K-4: 1, 2, 3, 4, 6, 7, 8, 11, 13
5-8: 1, 2, 3, 4, 5, 7, 8, 11

Using Computers to Produce Spreadsheets and Bar Graphs
Using data from the Glencoe Math book, from Internet sources or data of your own choice, learn what information and formulas to use to create a spreadsheet and the bar graphs to show the data pictorially.

Gr 4: 1.1, 1.2
Gr 5: 1.1, 1.2
Gr 6: 1.1,1.4. 3.1
Gr 7: 1.2

5-8: 1, 3, 5, 7, 10

What Are We Listening To?
Students will gather data from a web site on number of music albums sold by genre for the last two years. They will convert these figures to fractions, decimals, and percents. They will then display the results in bar graphs and pie charts. Finally, they will answer questions about their graphs.

Gr 7: 1.1

5-8: 1, 2, 3, 4, 5, 7, 10, 13
9-12: 1, 2, 3, 4, 7, 10

What on Earth is Greater Than?
Students will use deductive reasoning skills to compare and place in order planets according to size.

Gr 5: 1.2

Where do I want to live?
This is a segment of a larger Social Studies Project. Students use a variety of Internet sources to gather income and population data. They then use the data to compare states and make decisions.

Gr 4: 1.1
Gr 5: 1.1, 1.2
Gr 6: 1.1, 1.4, 2.1, 2.3, 2.5, 3.2

K-4: 1, 2, 3, 4, 6, 7, 8, 11
5-8: 1, 2, 3, 4, 5, 7, 10

Suggestions or comments to
Jim Shaver
Last updated May 16, 2000