Practice finding perimeter and area in this math mini spark.

Spark your thinking!

1. Set up your math mini spark recording page: #111: Spaghetti and Meatball Math
2. Listen to the story, Spaghetti and Meatballs for All! When you are done listening, answer this question on your recording page. What was Mrs. Comfort worried about? Why?  After you record your answer, scroll to the bottom of this post to check your work. 

3. At the beginning of the story Mrs. Comfort knew she had 32 people coming to the family reunion. Although Mrs. Comfort didn’t use mathematical terms to describe her plan, it’s possible to use area and perimeter to talk about her solution.

If you think about the top of each square table as having the area of 1 square unit, then the perimeter of each individual table is 4 units or one 1 unit of length for each side.

All of the guests did not arrive at the same time. List the number of guests seated at one time, then add to the total number of guests as more arrive. Next, figure out the table arrangement for each total number of guests using perimeter and area in units.

Print this table or make your own for this task.

4. Ask your teacher to check your work. Reminder: The key can be found in the math mini spark folder.

5. Share your project with your teacher or the EY coordinator in your building.

Mrs. Comfort was worried that there would not be enough room for everyone to sit. There wasn’t going to be enough room, because when you push tables together you lose chairs. She knew that the number of people who can sit at a table changes when the tables are pushed together or rearranged.

Happy 2025!

Spark your math thinking!

1. Set up your math mini spark recording page: #108: Happy 2025

2. Watch THIS VIDEO and write down at least 3 of the math problems given in the video that equal 2025.

Dig a little deeper!

3. Complete THIS WORKSHEET in your notebook putting a checkmark next to the ones that are incorrect and a star next to the ones that are correct.  In your notebook, record the incorrect answers and see if you can write the correct answer.

Patterns are EVERYWHERE!

Spark your math thinking!

1. Set up your math mini spark recording page: #106: Plethora of Patterns

2. Look at the image below.  What are 3 patterns you notice?  See if you can come up with the next row.  Does the the next row after that follow the same pattern?  What about after that?  Grab a calculator and see how far you can go! Record your answers on your recording page.

Dig a little deeper!

3. Watch the video and try to create the pattern.  If you have toothpicks, GREAT!  If not, don’t worry.  Just draw lines with your pencil to represent the toothpicks.  Take a picture of your pattern and add it to your recording page.

4. Watch the video and write down at least 3 of the patterns given on your recording page.

5. Watch the video and write down at least 5 notes/images about triangular numbers.

6. Share your math mini spark recording page with your teacher/EY coordinator.

The concept of this math mini spark is straightforward. The probability of an event happening is the number of times you expect that event to happen out of many tries. Probabilities always fall between 0 and 1.

Spark your thinking!

1. Set up your math mini spark recording page: #104: Probability 

2. Make a chart like this on your recording page.

3.Watch this intro video.  Pause the video @ 3:40 and record the probability of each of the events on the chart on your recording page. You can use a calculator for the decimals.

4.  Copy this chart in your notebook.

5.  Number your recording page from 1-5. Read each example and record if it is experimental or theoretical. Scroll down to the bottom of this post to check your work. Add a star if it is correct or add in the correct answer.

Probability Puzzles: Theoretical or Experimental?

1. A fair six-sided die is rolled. What is the probability of rolling an even number? Is this theoretical or experimental probability?
2. Sarah flipped a coin 50 times and got 28 heads. What is the probability of getting heads based on Sarah’s experiment? Is this theoretical or experimental probability?
3. In a bag, there are 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of picking a blue marble without looking? Is this theoretical or experimental probability?
4. A weather station recorded that it rained on 12 out of the last 30 days. Based on this data, what is the probability that it will rain tomorrow? Is this theoretical or experimental probability?
5. A spinner has 4 equal sections colored red, blue, yellow, and green. Jack spun it 40 times and it landed on red 8 times. What is the probability of the spinner landing on red based on Jack’s results? Is this theoretical or experimental probability?

6. Share your math mini spark recording page with your teacher/EY coordinator.

1. A fair six-sided die is rolled. What is the probability of rolling an even number?theoretical
2. Sarah flipped a coin 50 times and got 28 heads. What is the probability of getting heads based on Sarah’s experiment? experimental
3. In a bag, there are 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of picking a blue marble without looking? theoretical
4. A weather station recorded that it rained on 12 out of the last 30 days. Based on this data, what is the probability that it will rain tomorrow? theoretical * note since “tomorrow” hasn’t happened yet it isn’t experimental.
5. A spinner has 4 equal sections colored red, blue, yellow, and green. Jack spun it 40 times and it landed on red 8 times. What is the probability of the spinner landing on red based on Jack’s results? experimental probability

Combinatorics is a branch of mathematics which is about counting – and we will discover many exciting examples of “things” you can count.  You can use combinatorics to calculate the “total number of possible outcomes”. 

Spark your thinking!

1. Set up your math mini spark recording page: #103: Combinatorics

To do this mini spark you need to know a little about factorials. Steps 2 and 3 will review them for you.

2. The factorial function (symbol: !) says to multiply all whole numbers from our chosen number down to 1. Example: 4! = 4 × 3 × 2 × 1 = 24.

Complete these two problems so that they look similar to the example:

Example: 6! = 6 x 5 x 4 × 3 × 2 × 1 = 720

5! =

9! =

Scroll to the bottom of this post to see if you are correct. If you got it correct, add a star. Add the correct answer if needed.

3. Watch this short video that show you how to divide factorials. Don’t worry. It isn’t hard. Do the problems with the teacher on your recording page.

4. Study this teaching page.  Write the type of the formulas and the formulas on your recording page.

5.  Watch this video. Do the first two math problems with the teacher on your recording page. Try the last problem by yourself on your recording page. The answer is at the end of this post.

Advanced: Check out this teaching page. Each of the sections has a mini lesson, a practice problem, and a solution.  Read each lesson and try the problem on your recording page. Check your work. If you complete this, talk with your EY teacher about using this as a badge option.

Factorials

Permutations

Combinations

Combinatorics and Pascal’s Triangle

Combinatorics and Probability

6. Share your math mini spark recording page with your teacher/EY coordinator

5! = 5 x 4 × 3 × 2 × 1 = 120

9! = 9 x 8 x 7 x 6 x 5 x 4 × 3 × 2 × 1 = 362,880

50 people are in a race. How many ways can gold, silver, and bronze be awarded?

Spark your math thinking!

1. Set up your math mini spark recording page: #102: Friendly Numbers

2. Read this paragraph to review what “Factors” are.

Factors are numbers you multiply together to get another number. A factor of a number divides the number evenly, with no remainder.

What are all the factors of the number 8?         1 2 4 8

What are all the factors of the number 24?      1 2 3 4 6 8 12 24

Write the factors of the number 40 on your recording sheet.

3. Scroll down to the bottom of this page to see if you have the correct numbers for step 2. If you do put a star on your page. If you do not, add the correct numbers.

4. Look over these 6 questions before your start watching the video.  Number your paper from 1-6. As you watch answer each of the questions.

1. Stop the video at 2:57. In two sentences, describe how 12 and 234 and are friendly numbers.
2. How many perfect numbers are there. How has this number changed since 2011?
3. What is is called if you don’t have a friend? Name a few of these types of numbers.
4. Pause the video at 8:40 and write down all of the friendly numbers on his chart.
5. What are the yellow numbers?
6. What is 10’s index?

5. Share your math mini spark recording page with your teacher/EY coordinator

Answers for step 3

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40