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Factor Fiesta with Mathigon

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Software: Mathigon
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This lesson will introduce the learners to factors, an essential component of mathematics as they help explore number properties and simplify mathematical operations. To make the process of understanding factors interactive, learners will be engaging with virtual manipulatives offered by Mathigon. Virtual manipulatives are digital tools or interactive objects that replicate the functionality of physical manipulatives. The idea is to ensure that the learners get hands-on experience, but in a digital world. 

 

Lesson Overview 

Overview Activity Objectives 
Opening Activity Learners will be a part of an imaginary pizza party where they will divide slices of pizzas into equal groups. 
  • Find that some numbers can be divided into equal groups, while others cannot. 
Main Activity Learners will use virtual manipulatives offered by Mathigon to identify factors of numbers ranging from 1-50. 
  • Identify prime numbers. 
  • Use virtual manipulatives to extract factors.
Closing Activity Learners will become detectives to identify whether a number is a prime number or not. 
  • Differentiate between prime and composite numbers.

 

Prior Knowledge 

To understand factors and prime numbers, learners should be able to 

  • Perform basic arithmetic operations
  • Understand divisibility rules 

 

Lesson Objectives 

  • Identify prime numbers
  • Understand factors 
  • Differentiate between prime and composite numbers 
  • Use virtual manipulatives 

 

Learning Outcomes

At the end of the lesson, learners will be able to:

  • List factors of numbers up to 50.
  • Describe the characteristics of prime numbers.
  • Differentiate between prime and composite numbers based on their factors.
  • Use virtual manipulatives to explore numbers and their factors.

 

 

Pre-lesson Preparation

  • Like all lessons on Eddy, this lesson follows a specific approach. If this is your first time implementing an Eddy lesson, check out our 'How to set up an Eddy Classroom' for more information. 
  • Prepare for necessary technology/hardware in advance.
  • Devices (tablets/laptops/chromebooks/computers) for each learner. 
  • A stable wifi connection. 
  • Access to https://mathigon.org/ on each device.

 

 

 

 
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Slide 3

Introduce the learners to the ground rules. You can check out the Eddy Approach if this is your first time conducting an Eddy lesson. 

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Slide 4

Let the learners know that they will be engaging in an imaginary pizza party to build excitement. Introduce them to the situation as depicted on the slide. Encourage them to write the equations in their respective notebooks. 

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Slide 5

Once they are done writing the equations, show them the possible ways of dividing the pizza slices into equal groups. Ask them about the number of equations they could write.  

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Slide 6

Introduce the concept of factors using the same situation of a pizza party. Use more examples if needed, such as a pizza with 4 or 6 slices. Write the possible equations on the board and reinstate the definition of factors. 

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Slide 7

Let them imagine another pizza party where they have 7 slices of pizza as their dog or cat snuck one of the slices. Ask them if they can divide the 7 slices of pizza among 4 of their friends in a manner that each friend gets an equal number of slices. When they are not able to do it, ask why. Expected response - 7 cannot be divided by 4.

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Slide 8

Let them know that they were unable to divide 7 slices into equal groups because it is a prime number. A prime number is any number that has only 2 factors (1 and itself). If one tries to divide a prime number by any other numbers, there will always be a remainder or a leftover slice. Give more examples of prime numbers, such as 2, 3, 5. Let them know that the opposite of prime numbers is composite numbers (numbers that have more than two factors), give them more examples of composite numbers if needed. 

 

 

 
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Slide 9

Let the learners know that they will be doing an activity called ‘Factor Fiesta’ using Mathigon  where they will be finding factors for numbers ranging from 1-50 and they will use virtual manipulatives. 

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Slide 10

Introduce the learners to the rules as mentioned in the deck. To understand and guide your learners on how to use Mathigon, refer to this tutorial.

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Slide 11, 12

Introduce them to their roles within the team. If this is your first time conducting an Eddy lesson and want more clarity on the roles, check out the Eddy Approach.  

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Slide 13, 14

Provide them with an example of how to split the number to find its factors as shown in the deck. Demonstrate one or two examples on the Polypad before the learners begin the activity. You can refer to the tutorial  to understand how to use, share, and assign a PolyPad. 

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Slide 15

Once the learners are done identifying and noting the factors for all the numbers up to 50, ask them to reflect on the activity. You can use the prompts mentioned in the slide. Encourage them to think about how many numbers have common factors. 

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How can I modify this activity for my learners who require more support?
For your learners who require more support, consider the following: 1. Simplified Number Range: Consider limiting the range of numbers for the activity, focusing on a smaller set of numbers (e.g., 1-20) to reduce complexity and overwhelm for some learners. 2. Extended Time: Allow for extended time to complete the activity, ensuring that learners have sufficient time to process information and work through the concepts. 3. Guided Practice: Before diving into the full activity, provide guided practice with a few simpler examples to demonstrate how to find factors using Mathigon's virtual manipulatives.

 

 

 

 
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Slide 16

Let the learners know that they would be engaging in an activity called ‘Prime Detectives’ to recap what they learnt about factors and prime numbers. Read out the instructions for the learners as mentioned on the slide. Once you ensure that the learners understand the instructions, start the activity.

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How can I modify this activity for my advanced learners?
Instead of only raising hands for prime numbers, have advanced learners find and state the factors of composite numbers when they are called out.

 

 

 

 

Identifying Prime Numbers 

Expand
 

Emerging

The learner understands what prime numbers are, but finds it difficult to identify prime numbers in the range from 1 to 50. 
 

Developing

The learner understands what prime numbers are and can identify prime numbers in the range of 1 to 50 with minimal support.

 

Proficient

The learner understands what prime numbers are, can identify prime numbers in the range of 1 to 50 and can explicitly differentiate prime numbers from composite numbers.
 

Using Virtual Manipulatives to Factorize

Expand
 

Emerging

The learner understands what factors are, but finds it difficult to use virtual manipulatives to identify factors of numbers ranging from 1 to 50. 

 

Developing

The learner understands what factors are and effectively uses virtual manipulatives to identify factors of numbers ranging from 1 to 50 with minimal support. 

 

Proficient

The learner understands what factors are,  effectively uses virtual manipulatives to factorize numbers, ranging from 1 to 50, and recognize patterns in factorization. 

 

 

 

Comments (1)

Aniket Gupta
07 Aug 2023
Wonderful lesson to do with my 4th graders!
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