SCORE Mathematics

Mathematical Reasoning

Lesson Title/Description

CA Standards
Links

NCTM Standards
Links

All Aboard!
Have you ever wanted to take a train trip to another city in California? What would you do when you got there? You are going to take a "train trip" to a city of your choice. You will then tell us about your trip when you return.

Gr 4: 2.3, 2.4, 3.2

K-4: 1, 4, 9, 10

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 7: 1.1

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

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
Gr 5: 3.1
Gr 6: 1.2
Gr 7: 1.1

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

Bridges to Math Comprehension
Collect statistics about 2-4 famous bridges to use in calculating geometric computations of area, parallel and intersecting lines. Compare your results using less than, greater than or equal to skills. Extensions include exploring other web sites to see student works and illustrations, projects done with toothpicks and other materials to build bridges and more.

Gr 4: 1.1, 1.2

Buying My First Car
You will soon be in the position of getting your driver's license and looking for a car. In all of the excitement, you are faced with a number of decisions which need to be made before you actually purchase your car. Through this unit you will research every aspect that a person goes through when purchasing a car.

Gr 6: 2.4, 2.7
Gr 7: 2.5, 2.6

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

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 7: 1.1

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: 2.2, 2.4
Gr 5: 2.1, 3.2
Gr 6: 2.2, 2.5, 3.2
Gr 7: 2.8

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

Coaster Connections
What science and math exist in a roller coaster? You will enter the world of roller coasters via hands-on activities, Internet information, online experts, and computer simulations.

Gr 3: 2.3
Gr 4: 2.3
Gr 5: 2.3
Gr 6: 2.4
Gr 7: 2.5, 2.6

K-4: 3
9-12: 1, 4, 5, 6, 8, 9

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: 2.5, 2.6

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 7: 1.1

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

Dream Car Math
Collect price statistics on the Internet for purchasing 2 "dream cars" and calculate profits, differences in base price compared to manufacturers suggested resale price. Calculate monthly payments and compare calculated results using greater than, less than and equal to. Extensions include visiting a classic car web site and compare your cars to older "collector" versions.

Gr 4: 1.1, 1.2, 2.1, 2.2, 2.4

Extreme Elevations
Students use highest and lowest points of land elevation around the world to find the differences. Sea level is zero, so students will be operating with positive and negative numbers. After the students find the information on the Internet, they record the elevations on a chart and on pictures, and do the subtractions. Other problems using positives and negatives are then done.

Gr 7: 1.1, 1.2, 2.5, 2.8, 3.2

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

Go the Distance
Who needs math? Pilots do. This lesson applies math functions to convert kilometers to miles and calculate travel time for different fighter aircraft.

Gr 5: 1.1

5-8:

The Greedy Dog
This lesson is an introduction to the concepts of more than/less than. The lesson includes a whole class activity in which the children will be representing the number of items that the dog ate and also a worksheet activity. The children will also gain some experience with using a graph.

Gr 1: 1.2

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, 2.1, 2.5, 2.8

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: 1.2, 2.6, 3.2

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 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: (All)
Gr 7: (All)

Magic Mountain Coaster Computation
You are going to Magic Mountain! Everyone has a favorite roller coaster. Some are fast, or loopy, or crazy. You will discover the highest, and fastest coaster in Magic Mountain.

Gr 4: 2.4
Gr 5: 2.3
Gr 6: 2.4
Gr 7: 2.5

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

Math, Calories and You
Don't we all like to eat and exercise? This lesson makes students aware of how many calories they burn in relation to their own body weight and they get to practice their multiplication skills at the same time.

Gr 5: 1.1, 2.4

5-8:

Math Crosswords
You and your classmates will create crossword puzzles that use the definitions of math terms you use as clues. The terms will be the answers which go into the puzzle.

Gr 5: 1.1, 1.2, 2.3
Gr 6: 1.1, 1.2, 2.3, 2.4, 3.1
Gr 7: 1.1, 2.4, 2.5

K-4: 3
5-8: 3

Math for a Better Life
This lesson provides students an opportunity to practice math skills while learning about how to achieve and maintain a healthy lifestyle. Happy Trails!

Gr 5: 1.1, 2.4

5-8:

Monthly Cost of Living - Food
Students will determine how much they would need to feed a family for a month. Students will plan meals and use Internet grocery stores to find the cost of individual food items.

Gr 4: 1.1, 2.2, 2.3, 2.5, 3.1
Gr 5: 1.1, 2.2, 2.3, 2.5, 3.1
Gr 6: 1.1, 2.2, 2.3, 2.4, 2.6, 3.1
Gr 7: 1.1, 2.3, 2.5, 2.6, 3.1

Olympic Records Through Time
Are we faster, stronger, better than we used to be? Compare the records of gold medal Olympic winners for the last 100 years and decide.

Gr 5: 1.1, 2.3
Gr 6: 1.1, 2.3
Gr 7: 2.3

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

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. 4: 1.1, 2.2, 3.2
Gr 5: 1.1, 2.3

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

Planning a Trip
Students will plan a trip to from 3 to 5 cities of their choice. The main assignment is to make a brochure to travel to the chosen cities. It should be of a quality that it could be used by a customer to decide if they would like to take this trip. It should include fares for planes, trains, rental cars etc., cost of housing and meals, points of interest to visit in the cities.

Gr 4: 1.1, 2.4, 3.3
Gr 5: 1.1, 1.2, 2.6, 3.2
Gr 6: 1.1, 1.3, 2.2, 2.4, 2.5, 2.6
Gr 7: 1.1, 1.3, 2.1, 2.5, 2.6

5-8: 1, 2, 5, 7, 10
9-12: 1, 2, 10, 12

The Pony Express
In the movement West, the Pony Express was a major influence in communications during its short life. Many students may be intrigued by the story of the Pony Express, and the following activities will help them discover a little about the route, and some of the problems they encountered.

Gr 4: 2.6

K-4: 1, 2, 3, 4, 5, 8

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 4: 2.2, 3.3
Gr 5: 2.6
Gr 7: 1.2, 3.3

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: 2.6
Gr 5: 2.5

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

Pumpkin Pie for All!
Let's make pumpkin pie for the whole class! Imagine making enough pie so that everyone could have a piece. How about enough pie to take one home. The only problem is that the recipe you have makes 1 pie at a time which only has 8 pieces.

Gr 4: 3.3
Gr 5: 2.2
Gr 6: 2.2, 3.2
Gr 7: 2.2, 3.2

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

School Clothes Budget
The lesson is a problem for students to learn about buying on a budget. It gives students an opportunity to use math in a practical life application problem.

Gr 7: 2.1

Sharing Your Birthday
This is a writing assignment in which the student uses the Internet to locate a famous mathematician that shares his or her own birthday.

Gr 4: 1.1, 1.2, 2.1, 2.2, 2.6, 3.1, 3.3
Gr 5: 3.3
Gr 6: 2.1, 3.1, 3.3

K-4: 3
5-8: 3

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: 2.6

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: 1.1, 2.1

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 3: 2.3
Gr 4: 2.3
Gr 5: 2.3

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: 1.1, 2.1, 2.3, 3.3
Gr 5: 3.3
Gr 6: 2.1
Gr 7: 2.1

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

Surf's Up!!!
Looking for a way to introduce the web to your students? Sneak in some math skills at the same time? Maybe even a little math reasoning? This just may be the lesson for you to use. Students will surf the web to complete a student worksheet. The lesson may be used in a lab setting or one computer station. It is for 2nd grade last quarter or 1st quarter 3rd grade

Gr 2: 1.1, 2.1, 2.2

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, 1.2, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 3.2

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 4: 1.1

What's My Number?
Students will be on an information quest using the Internet to find facts needed to arrive at a number on the 100 board, known only to the author of the quest. Students will use the information to work math problems using the 100 board. This lesson plan may be adapted to any grade level and maybe integrated with other subject areas. This is dependent on the teacher and the skills targeted for the student.

Gr 2: 2.2
Gr 3: 1.1, 1.2

K-4: 1, 2, 3, 6, 7, 8

Zeros and Blackbirds
Do you yearn to be high in the sky and far far away? This math lesson allows students to convert kilometers to miles and calculate the range that historical aircraft can travel.

Gr 5: 1.1

5-8:

Suggestions or comments to
Jim Shaver
Last updated November 1, 1999